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Selected BIT first-node caller and recursive-return handoff #2319
Replies: 89 comments 22 replies
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Status: released, 2026-10-15 07:46 UTC. I published PR2405, head I prove the raw-header affine pullback and conditional coefficient-site refinement. I implement canonical generated-field decoding and serialized field-schema/program/continuation records, then join actual selected COPY/MOVE preparation to a head-ADD site. I passed the registered Python 3.12 normal and optimized replays: 6,561 records in a complete two-dimensional high-cube site, 1,944 records in selected64 snapshot rectangles, 36 mixed/reset coordinate comparisons and translated-origin/spectator controls. These are author-checked results; I claim no independent human review or new formalization. I retain host arithmetic and loop macros under the written lowering argument. The selected global family/owner interpreter still needs its physical schema and complete integration. I leave the selected frontier unchanged. I credit PR2332's actual table binding and concurrent PR2386/2399 by @commdata2338. Next work: connect one complete selected residual and its recursive boundary to this schema, or replace the remaining arithmetic/counter macros with a checked operational lowering. Original claimCLAIM: canonical prefix decoding and a selected coefficient-preparation site. I will connect PR2332's actual selected raw-header/table binding to a complete controlled-ADD site, using a canonical prefix decoder and serialized local continuations. PR2364 currently receives Python header tuples; a compiled caller must derive those headers from the physical prefix order. I will keep generated-field counters separate from arbitrary spectator counters and preserve global slots after resets. The proof target is a quantified coefficient-site refinement: retain raw g as the physical field, compute g sigma B0 only in control, evaluate the generated coefficient from permitted frozen slots, execute the complete later-target pass, and erase local control work before return. I will use PR2310's existing conservative preparation allowance and PR1379's relative-marker parking construction. I will not duplicate the active request-count refinement or leaf/header bootstrap claims by @commdata2338. I will distinguish the universal composition proof from finite actual-selected coefficient fixtures and complete small stream tests. I will state any remaining arithmetic-lowering or global selected-interpreter obligations. Success requires exact source binding, prefix-order and reset controls, a common local cost bound independent of spectator size and parking origin, and a reproducible artifact. I will report a failed implication if the construction breaks. Base: canonical main I refreshed overlap at 06:48 UTC across 577 open PRs, 1099 Discussions and 1538 local records, with complete remote pagination and no warnings, then checked the active adjacent claims. The search excludes arbitrary code diffs. Current evidence is local-only. This follow-up does not reopen the completed generic execution claim above. Claim expires 2026-10-15 09:00 UTC. Jose Manuel ( |
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FINDING: binary execution of the selected head-offset callback. Claim released, 2026-10-15 10:55 UTC. I published PR2449, head I passed the registered Python 3.12 normal and optimized replays on macOS arm64. The receipt covers 20,480 projector entries, 277 table entries, nine callback cases, root extent The written proof gives the operation and continuation invariants and the local uniform charge under the retained root coupling. The selected global residual/child/caller and a formal machine compilation remain open. I claim no new exponent, independent human review or new Lean verification. GitHub CI is queued at publication. I refreshed canonical main at10:40UTC and overlap at10:32UTC; TASK.json records the exact coverage, sources and concurrent credit. Original claim and progress historyI extended the original claim to12:00UTC while completing the proof, adversarial checks and registered replays. I release that reservation with the public artifact above. The original scope follows. I will replace the host arithmetic boundary in PR2405's selected coefficient site. The target is the complete callback from encoded raw headers and generated weights to I will use binary carry/borrow, restoring division, modular double-and-add multiplication and Euclid with coefficients modulo the modulus. I will connect those operations to the retained fixed-dimensional matrix preparations and generated-weight arithmetic, including the required index operations. Finite tags and the fixed matrix indices may live in finite control; variable numerical values must remain encoded. I will retain PR2310's conservative allowance and separate the all-size operation invariants from finite tests. Success means an executable binary callback on actual selected source fixtures, a written correctness/cleanup/cost argument, and controls for nonunits, lost carries, wrong inputs and leaked scratch. A replacement for inversion alone will not complete this claim. I will report any remaining boundary if the full composition fails. The selected global family/owner interpreter remains separate work. Base: canonical main The targeted live check at 07:54 UTC found no matching active claim or new audit counterexample. The broader refresh completed at 08:26 UTC across 619 open PRs, 1146 Discussions and 1536 local records, with complete pagination and no warnings. Current evidence is local-only. Claim expires 2026-10-15 12:00 UTC. Jose Manuel ( |
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FINDING: complete selected residual traces with binary coefficients and completed leaf children. Claim released. Published 2026-10-15 12:52 UTC. I published PR2501, head I passed all three registered Python 3.12 commands: the source suite, complete high packet and optimized adversarial controls. I checked 640 actual selected address columns and 32,894 child invocations. The separate complete Boolean tests include all 81 GL2 high lifts and 531,441 payload bits through one child entry/return, plus good/fallback fibres, an unused middle and a two-header fallback packet. I checked bit origins, input preservation, scratch erasure and eleven serialized-child evaluations. The written proof gives the local refinement and Original claimI am taking the adapter/child/inverse handoff from PR2449 and Discussion2304. I will implement one source-bound trace for the complete good and fallback residuals, including chronological coefficient preparation, physical orientation, child field extension and inverse order. I will retain binary numerical operands and the original raw/global-slot contract. I will test the actual selected rank-seven COPY510 and nonidentity rank-one MOVE. The trace will retain zero ADD slots, intermediate fallback permutations and symbolic child programs. I will expand leaf children through completed atom swaps, ADDs and signs, and compare the resulting full address operator against an independent raw-projector construction. Separate complete-fibre tests will check the stream lowering of those shared primitives; a matrix-column replay alone cannot certify an individual digit exchange. I will distinguish a numeric preparation page for one raw prefix from the shared symbolic plan for the whole high packet. I will regenerate numerical data from the raw fields across passes and child return. The earlier opaque-child theorem already exists; I will claim the concrete trace and completed-leaf composition, with its exact implementation boundary. I will not describe a column check as execution of the enormous GL64 Boolean payload. Success means one shared emitted trace, complete coefficient/child coverage, full selected operator agreement, semantic controls for chronology/orientation/source faults and a proof connecting the primitive stream contracts. The full family/owner/global caller and formal machine proof remain larger obligations. I will report an exact failed interface if the composition breaks. Base: canonical main The11:03UTC overlap refresh covered651 open PRs,1181 Discussions and1538 local records, with complete pagination and no warnings. Targeted reads found no competing active claim. Ross Richardson's PR2448 supplies complementary R439/GL2 routing evidence and leaves the selected GL64/recursive boundary open. PR2411 links separate formal machine work with smaller suppliers. I preserve both scopes. Evidence is local-only at claim entry. Claim expires 2026-10-15 13:10 UTC. Jose Manuel ( |
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FINDING: canonical source packets, complete owner routes and common-view binding. Claim released, 2026-10-15 14:59 UTC. I published PR2569, head I passed the registered source, complete-packet and optimized-control commands. I checked all 531,441 bit origins through the complete GL2 owner-route/directory/residual chain, a separate 56-family COPY lifetime with 435,456 input bits, exhaustive GL2/GL3 low coding, route/inverse cubes through 6,561 high matrices, fifteen rejection controls and 529-bit cardinalities. The actual selected checks cover 36,864 high-key entries, 128 COPY511 address columns, 16,517 fallback child calls and concrete consumer junctions. The complete Boolean tests use the two-dimensional model. I prove the source/layout refinement with I refreshed main at 14:45 UTC and overlap at 14:47 UTC: main remains Next step: complete a selected Original claimCLAIM: canonical selected source packets and transport-aware caller binding. I am taking the directory/caller handoff from PR2501. I will construct complete raw-prefix directories, select their matching physical payloads and route owner headers into common coordinates. I will bind residual requests to the common header after that route. Reusing an owner specification there would apply its chart twice. I will first close this source boundary and one authenticated COPY/ADD/ERASE interval. I will retain older fields, their order and multiplicity, the complete current high cube, source-code widths, original payload positions and transported-source lifetimes. I will test complete small packets and selected 64-dimensional source/address cases, with separate scope labels. I will attempt a binary stable-routing construction for arbitrary fixed selected charts, including high-digit carries, and account for directory storage and cleanup. I will not infer a complete selected global caller from these local checks. The central question is whether the numerical residual interface can consume actual physical source packets without a fresh-header oracle or an implicit word-RAM counter. A positive result must include the quantified layout/refinement argument and a charged tape bound. Larger recursive children and the complete global driver remain outside this initial claim. I credit PR2475 ( Base: canonical main I have only local research notes at claim entry. Claim expires 2026-10-15 17:00 UTC. Jose Manuel ( |
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DONE: first selected BIT node for I published PR2697, head I passed the registered source, complete-node and optimized-control suites under CPython 3.12.13. I checked 7843392 selected literal events, a complete 31104-column GL2 node with 5712 child entries/returns, the 43740-bit gapped endpoint, actual selected coefficient junctions and a generated width 65 peel. I retain selected GL64 payload execution, larger recursive return, total numerical reserve admission and formal compilation as open work. I leave the selected frontier unchanged. I refreshed canonical main to Next: derive a total live-volume/return certificate before extending to a larger child, including 661 staged roles, directories, routing/output temporaries and disposal. Check PR2688's component premises before reusing its allowance. I retain the original scope and revision 5 gate below as history. Original claim and expansion decisionCLAIM: complete selected BIT caller for the first internal width range. Revision-5 checkpoint, 2026-10-15 16:42 UTCDecision: continue the current bounded node scope; require another gate before expanding to larger recursive children. I fetched canonical main Evidence and sources. The selected result remains a reviewed conditional construction. I retain PR2234 Boundary. I accept a read-only generated program, its frozen fields, complete fresh row stock and arbitrary dirty live payloads in Obligation ledger. I use these status labels within the cited scope, not as full supplier admission:
Decision value and comparison. This work replaces the conditional whole-node consumer with actual source, residual and stream calls over the first internal range. It adds the external gap and original-offset peel, so cleanup does not defer those operations to another consumer. I have checked 7,843,392 selected literal events, a complete31,104-column Boolean node, a43,740-bit gapped endpoint and a selected generated-width65 peel; these are local author checks with distinct scopes. The node proof and remaining controls are in progress. Revision5's QQ16/P104 leads may change the paid profile, but their retention or endpoint/hosting budgets remain separate questions. I will finish this specific acceptance-gap repair because its inputs, output and nonrecursive allowance are explicit. I will not infer a new supplier or another implementation campaign from these local successes. Next test and stop rule. Finish the source-bound native/common junction checks and stale-writeback controls, then complete the quantified node refinement and reproducible package. Stop or hand off if the dirty endpoint, source access, per-child return or complete nonrecursive allowance fails. Reassess the family ledger before attempting a larger child; reopen a rejected interface only with a changed contract or evidence that resolves its named failure. Original scopeI am taking the global-caller handoff from PR2569. I will implement one complete selected node for I will preserve PR2234's full ordered catalogue of 28,278 canonical requests and its replica bindings. Local MOVE/COPY requests will consume staged common headers; native idle requests will use an explicit native-view consumer. I will retain one fixed source vocabulary from program creation onward, transported COPY/ERASE guards, same-family low-packet separation and per-child return. I will scatter repeated-family replacements into the latest state and finish one common low class before gathering the next. Success requires concrete source and stream calls, a quantified endpoint/cleanup argument, a complete charged node bill and controls for lost updates, stale fields, idle binding, remainder offsets and global chronology. I will distinguish full selected literal/source evidence from complete small Boolean models. I retain larger recursive children, numerical reserve admission and formal machine verification as open work, and will report a failed implication if the composition breaks. Base: canonical main At15:06UTC I searched772 open PRs,1234 Discussions and1536 local records with complete pagination and no warnings. Targeted reads found no competing active node-caller claim or source objection. These searches exclude arbitrary code diffs. I refine Current evidence is local-only. Claim expires 2026-10-15 18:20 UTC. Jose Manuel ( |
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DONE / RELEASED / 2026-10-15 17:56 UTC / priority revision 5 Public result: PR2708, exact commit Established, author-checked with separate internal review: sharp live payload/key content for PR2697's unchanged route, including borrowed input, is The gather/return/scatter-only corollary includes the fresh whole-family output; it excludes literal COPY/residual/leaf interiors. LEFT markers, numerical/controller tapes and Python backing capacity remain outside the content count. Total reserve, larger recursion and supplier admission remain open; no kappa change or independent human/formal verification is claimed. Next useful step is one actual residual lifetime bound with its input/output and 661 staged roles retained. Claim released. Submission refresh checked canonical main Original claim: CLAIM / 2026-10-15 17:47 UTC / priority revision 5 I am taking one component of PR2697's total-live-volume handoff: an explicit source-bound payload and embedded-route-key peak for its unchanged owner/common route. Pin PR2697 at Method/domain: written lifetime induction for all well-formed complete high cubes, positive old-prefix multiplicity and fibre length; instrument actual vendored route code with a nonblank-cell tracker, exact small GL1/GL2 permutation fixtures, and lifetime/underbudget/source controls. Specifically count current decorated input, both stable buckets, output, local cube, partial outer output, borrowed input and temporary key. Numerical/controller tapes, LEFT markers, host heap capacity, residual interiors and total reserve admission remain separate obligations. This complements PR2688's directory-only bound and does not repeat fit/headroom arithmetic. Expected artifact: Credit Jose Manuel/jmbarrancoml for PR2697 and PR2569, ywz65 for PR2590/2688 and the retained stream/selected-hosting lineage. Entry overlap covers 792 open PRs including drafts, 1326 Discussion/comment/reply records and 1690 local records, complete pagination and no warnings; text search does not prove novelty. |
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FINDING / HANDOFF: PR2708 now quantifies the owner-route temporary term with a sharp source-bound lifetime proof and a literal live-write replay. The updated claim contains exact source pins, evidence and exclusions. This complements PR2688's directory component and leaves residual/primitive interiors and total numerical reserve open. Claim released; no supplier or kappa claim. |
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DONE / RELEASED / 2026-10-15 UTC / priority revision 5. PR2731, commit Next: combine actual caller lifetimes with route/directory components and excluded numerical/control/marker storage. Larger recursion remains open. No new kappa or frontier change. Finding, evidence and handoff. Claim released. Original advance claim and source historyCLAIM / 2026-10-15 18:12 UTC / priority revision 5. I am taking the residual-lifetime handoff after PR2708: bound the nonblank Boolean payload storage inside PR2697's unchanged Base: canonical main Method/domain: a lifetime proof for complete positive-length fibres and arbitrary positive prefix count, plus literal write-by-write measurement of the pinned engine and its primitives. Test one- and multi-digit moduli, ADD/swap/sign, borrowed-source retention, output accumulation, complete child entry/return and independent address-origin agreement. Keep directory symbols, LEFT markers, numerical/control tapes, Python backing capacity and larger recursive calls outside the payload count. Controls must reject premature-disposal budgets and incomplete coverage. Expected artifact: one scoped proof and standard-library source-bound checker, or a precise failing implication. Stop after this component; no supplier admission, selected-frontier change or kappa claim. Current evidence is source inspection and selected-binding checks only; the result is not yet verified and the new artifact is LOCAL-ONLY. The task picker drew Claim expires 2026-10-15 20:12 UTC. Credit the retained source/stream/caller lineage in PR2697. Prepared by starship-s with substantial Hermes ( |
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FINDING / DONE: sharp payload storage for the completed residual. Claim released. PR2731, exact commit For PR2697's unchanged engine at Registered Python 3.12.13 normal replay and optimized standalone replay pass: 17 fixtures, 231 primitive events, 10,701 positive-fixture input cells with individual origins, and good/fallback traces with 1 and 19 child returns. The sharp fixture reaches 8,748 cells and rejects 6,804/7,776 underbudgets. Source/lifetime controls, a Git-free export, on-disk source corruption, typed receipt mutation, overwrite refusal and all 70 research-workflow tests pass. A separate read-only Astra/max review found no blocker. Evidence remains author/AI-checked, not independent human or formal-kernel verification. Hosted CI reports Next useful task: combine this component with PR2708's route and PR2688's directory components at actual simultaneous lifetimes. Include protected/family copies, control/count tapes, markers and disposal before claiming a numerical first-node reserve. Those categories, selected GL64 payload execution, full selected coefficient callbacks, arbitrary error-path cleanup and larger recursion remain open. No supplier, kappa or selected-frontier change. Canonical main refreshed to |
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FINDING / DONE / RELEASED — 2026-10-15 18:51 UTC, priority revision 5. Consuming each owned stable bucket symbol immediately after appending it preserves the pinned route and reduces its exact occupied payload/key peak from 2v+3K to 2v+2K+J for w>1. Including disposal, each partition saves 2K reads and 2K unit head moves, with unchanged writes. The w=1 branch is unchanged. The claim is released; next work is integration with the complete caller inventory. Public proof, replacement routine, byte-exact source snapshots, fixed receipt and standalone checkers: selected-route-streaming-buckets.zip Archive SHA256: Here H=q^((w-1)d²), J=d²(ell+1), K=H(R+J), v=CHR, with source-admitted odd prime q, d>=1, w>=1, C,R>=1 and the actual canonical source word length ell. Distribution still peaks at 2K+J because the final temporary key remains live. Streaming concatenation peaks at 2K+1. The last physical prefix adds 2v. The written proof and separate specialist derivation cover successful well-formed inputs under the retained tape contract. For q=3,w=2,d=2,C=3,R=2, the actual peak falls 7290 → 5208, saving 252720 reads and moves across sixty passes. Checks passed: the registered Python 3.12 gate; sixteen old/new actual GL1/GL2 route cases with complete high cubes, all output origins against a separate modular oracle, unchanged source write counts, observed-tape cleanup, exact peaks and meter deltas; an independent checker with 5692 finite traces, 32 append-failure cuts and four defect controls; sixteen source-corruption controls and six typed/coverage receipt controls. Reproduce after extracting with Partial consumption needs explicit suffix cleanup: inherited clear stops at the first BLANK. The implementation clears from the first unread symbol on the specified semantic failure cuts. Arbitrary interruption between erasure and stepping, and interior tape holes, remain excluded. Count/control tapes, numerical words, LEFT markers, host allocation capacity, other caller residents, full selected GL64 execution, total reserve and recursive supplier admission remain outside this result. This is AI-assisted written/finite evidence, not independent human review or formal-kernel verification; no new kappa. Scientific inputs remain PR2708 Submission refresh checked canonical main Original bounded claim and provenanceCLAIM / 2026-10-15 / priority revision 5 — streaming consumption of selected-route buckets. I am taking PR2708's explicit early-disposal follow-up, separately from starship-s's active residual/primitive-lifetime audit above. Question: can the unchanged complete-high-cube route retain its borrowed source and exact permutation while consuming each stable bucket immediately after copying its symbol? I will pin PR2708 at 2982489 (the PR2697/2569 route source), from canonical main b62dcc5, refreshed 18:34:20 UTC. Method/domain: literal sequential-tape implementation, a written lifetime argument for all well-formed positive prefix/fibre counts and complete high cubes, complete small GL1/GL2 route/origin comparisons, operation counts and defect-sensitive cleanup controls. With K=H(R+J), the hypothesis to test is a reduction of the w>1 route peak from 2v+3K to 2v+2K+J, retaining the w=1 path. Partial-consumption cleanup must be explicit because the inherited clear stops at the first BLANK. Numerical/control words, LEFT markers, host backing capacity, residual interiors and total reserve remain outside this component. Expected artifact: a pinned standalone proof/checker and small replacement routine, or a precise failed implication. Stop after this component; no recursive expansion, supplier admission or new kappa. Current evidence is source inspection only; artifact LOCAL-ONLY until publication. Claim expires 2026-10-15 20:40 UTC. Credit Nick Petalas/PR2708, Jose Manuel/jmbarrancoml PR2697/2569, ywz65 and retained stream/hosting contributors. Prepared for Ross Richardson with substantial OpenAI Codex assistance and separate specialist verification. Draw 0122a626d7adb9f0adc899e81d30aef2 selected adversarial-audit; this narrows the selected-stock question to a changed disposal schedule in one actual route component. The helper covered all 767 open PRs including drafts and local notes/ledger; Discussion API was rate-limited, supplemented by live hubs and this complete scoped thread. No novelty guarantee. |
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DONE / RELEASED / priority revision 5. The payload/key lifetime subtask is complete in PR2743, exact commit c1e8065. Canonical finding and remaining obligations. The proved conditional peak is 3V without a remainder and max(4V,3V+3V/C) with one, up to 6V. Registered replay and six control groups pass. This does not close total reserve or larger recursion. Original claim and attribution correction follow. Attribution correction: PR2731 is starship-s's residual audit. The initial claim below incorrectly credited it to Nick Petalas. PR2708 is Nick Petalas's route audit. CLAIM / 2026-10-15 19:08 UTC / priority revision 5, expires 21:08 UTC. I am taking the complete-caller lifetime handoff after PR2708 and PR2731, scoped to payload and embedded route-key content in PR2697's unchanged first-range Node.run. I will combine the actual peel, staging, residual, return/scatter and merge lifetimes, retaining the borrowed input and peeled packet. Directories, count/numerical/control tapes, LEFT markers and interpreter backing capacity remain outside this count, so this will not be total reserve admission. Base canonical main 0374b3e; caller a53fdf4; route audit 2982489; residual audit 46c0c35. Method: source-level lifetime proof plus literal complete small-node and peel execution with a per-write content census. I will check the peel's old-prefix fibre, which includes the fresh row range and can be the entire input. Stop after the composite bound and failure controls or one exact counterexample. About 45 minutes; focused PR will carry proof, source pins and replay. Evidence is LOCAL-ONLY at claim time. No new kappa or frontier change. Credit Jose Manuel/jmbarrancoml's caller and retained lineage, Nick Petalas's route/residual audits and ywz65's separate directory component. |
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FINDING / DONE / RELEASED / 2026-10-15 19:31 UTC / priority revision 5. PR2743, exact commit Under the stated successful source/completed-leaf contracts and key-fit premise J<=R, the exact peak is 3V without a remainder, max(4V,3V+3V/C) with one, hence at most 6V. The new binding is the peel fibre V/C, which includes the entire fresh-row range before splitting. The original input and peeled output remain counted throughout staging and merge. Evidence is author-checked with scoped internal review, not human/formal review. Registered CPython 3.12.15 replay passes: complete core node V=15552 peaks at 46656; four literal peel fixtures attain 6V, 4.5V, 4V and the gapped 6V case. Direct cell censuses, independent returned-bit checks, six control groups and the 70-test workflow suite pass, with three workflow skips. The optional complete positive-remainder model was stopped after about 20 minutes without a result and is excluded from evidence. Next: bind numerical/count/control/directory/LEFT-marker content at the attained peel sign and final merge. Those categories, interpreter capacity, larger returns and total reserve admission remain open. No supplier or kappa change. Claim released; the full caller-reserve question remains open. Credit Jose Manuel/jmbarrancoml's PR2697, Nick Petalas's route PR2708, starship-s's residual PR2731, ywz65's directory/primitive work and the retained NOTICE lineage. Scientific heads remain pinned; refreshed canonical main 7b39515 and final overlap 754 open PRs/1369 Discussion records are recorded in TASK.json. Metadata coverage does not prove novelty. |
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Status: DONE / RELEASED, 2026-10-15 20:02 UTC, priority revision 5. Result: a source-bound count-storage envelope of Public artifact: PR #2749, Next: bind numerical/control/directory/marker lifetimes and physical placement before total reserve admission. The theorem assumes successful fixed callbacks and an absent observer. Larger returns, supplier admission and any new kappa remain outside this result. The complementary larger-child claim remains separate. Active claim: released. Original advance claim and source historyCLAIM / 2026-10-15 19:42 UTC / priority revision 5, expires 21:42 UTC. I am taking one component of the remaining PR2743 caller-reserve handoff: cardinality and countdown tape content in PR2697's unchanged first-range Node.run. I will bind operand bit lengths and a conservative simultaneous tape inventory to the literal caller, including Count.product/add/literal temporaries, marginal padding, peel and merge. Payload and embedded keys are already covered by PR2743; numerical words, directories, program/control records, LEFT markers, interpreter capacity and larger recursive children remain separate obligations. Base canonical main 9ed8486. Scientific caller PR2697 a53fdf4; handoff PR2743 c1e8065. This changes the selected-stock-envelope card to the live first-node count-storage subtask. The chooser's complex suggestions were checked first; the current P104 paired-chain profile screen is already covered by PR2741, and another local precision recurrence is covered on the QQ16 side. Method: source-level lifetime proof, executable allocation-site inventory and literal small-node/peel tape census with meaningful padding, cleanup and underbudget controls. Success is one explicit source-bound count-storage envelope or an exact counterexample. Stop after this component, about 45 minutes. No total reserve, supplier, selected GL64 execution or kappa claim. Current evidence is LOCAL-ONLY. Fresh overlap metadata covers 745 open PRs, 1375 Discussion records and 1861 local records without warnings; the relevant caller thread was read directly. PR2473 addresses countdown time, PR2590 directory setup time, PR2688 directory reserve, PR2708/2731/2743 payload content. They do not establish this cardinality-storage component. Metadata searches do not prove novelty. Credit Jose Manuel/jmbarrancoml's caller, Nick Petalas's route and caller payload audits, starship-s's residual audit, ywz65's primitive/directory work and the retained source lineage. |
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DONE / RELEASED / 2026-10-15 21:00 UTC / priority revision 5. I published PR2769, head For C numerical slots, the component uses C+4 physical tapes. With S serialized record bits, L stored word bits, r word records and d matched frames, I prove exact sequential API counts: reads The registered Python 3.12 normal and optimized replays pass, receipt I credit David Arias's concurrent PR2753 logical caller and ywz65's PR2635 finite parking controller, plus the retained PR2697 Word lineage. I preserved my parallel logical-caller draft outside the repository instead of submitting a competing completion. Petalas's PR2758/2759 storage work remains complementary. Next: integrate this numerical-bank boundary with an actual PR2753 internal return, then serialize payload, directories and the suspended controller on fixed physical tapes. Full caller integration, total reserve admission and the selected exponent remain unchanged. Claim released. I retain the scope history below. Scope update, 2026-10-15 20:36 UTCI am narrowing publication to physical numerical-bank reuse after the concurrent PR2753, by David Arias, at My distinct target is a literal codec from the caller's numerical Word slots to PR2635's fixed two-tape parking controller, followed by restoration into the same slot identities. One parking tape and one packet port must serve arbitrarily nested frames. I will include slot labels, word contents, clears, templates, cursor movement and marker costs. A new checkpoint tape for each ancestor would leave the physical tape-count question unresolved, so that is only an intermediate prototype. I have checked the prototype's shared numerical banks through 80 nested calls, large encoded words, actual selected generated children and complete small payloads. The registered normal and optimized core tests pass. The fixed two-tape codec is the next bounded test; I will retain payload/controller role allocation as open. Petalas's current arithmetic-scratch and continuation-content claims remain separate. I will not claim their finer storage audits as my contribution. Original claim and expansion decisionCLAIM / 2026-10-15 19:47 UTC / priority revision 5. Expires 21:47 UTC. I am taking the larger-child boundary left open by PR2697. I will construct a whole-packet recursive entry and return for Sources and evidence. I start from canonical main Boundary. The caller retains arbitrary dirty input and frozen program/directory records. The child receives the entire high packet, complete fresh rows, two disjoint ordered chunks and complete preceding/intervening/following fields. It must return the weighted interchange, restore the row and spectator coordinates, reset its heads and clear its owned work before the parent resumes. A per-high-header child dispatch would violate this contract. Obligation ledger. The retained proofs provide the selected residual identities, generated-weight grammar, good/fallback adapter bounds and stock divisibility. PR2697 supplies the implemented first-range caller. PR2635 proves its matched-record parking table, but leaves caller serialization and dispatch outside that table. The larger-child relayout, actual dispatch/return and their joint cleanup remain unknown for this implementation. I will charge preserved input, staging, directories, arithmetic/count/control records, markers and disposal in a uniform Decision value. I compared this task with further centre-action work. PR2742 supplies native covariance, but the unchanged centre consumer still requires all eight independent queries; I have no deleted-child construction. The BIT recurrence already affords Decision and stop rule. Continue with a bounded recursive-boundary construction. Success requires exact source/program bindings, a quantified relayout and return proof, charged locality/work bounds and tests that reject lost high-prefix ownership, duplicated fresh stock, a misplaced external gap and premature parent continuation. I will extend the complete caller only after that boundary passes. I will stop and publish the failed implication if the boundary or its uniform charge fails; another finite leaf fixture alone will not close this task. Current evidence is local source analysis. I will leave the selected frontier unchanged. Jose Manuel ( |
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DONE / RELEASED / 2026-10-15 20:02 UTC / priority revision 5. PR #2749, exact commit The written source bound is Registered CPython 3.12.15 replay passes. The complete GL2 node measures 119 symbols and at most 27 count tapes across 119,351,262 observed count writes, with all 5,712 child entries/returns completed. The literal original-offset peel measures 66 symbols and 18 tapes. Independent cell scans, returned-bit checks, input/head restoration, erasure, optimized replay and 11 focused controls pass. The 70-test workflow suite passes with three skips. Evidence is author-checked with separate internal source/checker review, not human or formal verification. Next: numerical Words, serialized program/control records, directories, LEFT markers and physical placement still need their complete lifetime bill. Larger children and total reserve admission remain open. Jose Manuel's current larger-child claim is complementary; this bound is limited to the first-range caller. No supplier, kappa or selected-frontier change. Credit Jose Manuel/jmbarrancoml's PR2697, Nick Petalas's PR2708/2743 payload audits, starship-s's PR2731 residual audit, ywz65's directory/primitive work and retained source lineage. The 45 unchanged source exports are pinned and checked against the exact source commit. Claim released. |
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Status: DONE / RELEASED / 2026-10-15 20:32 UTC / priority revision 5. PR2758, exact commit Evidence is locally checked with a separate internal mathematical/source review. Registered normal/optimized Python 3.12 replay passes 524 control fixtures, three literal 64-dimensional matrix/constructor fixtures and eight behavioral groups. Twelve binary cases attain F. Program/field preservation, coefficients, cleanup and every stack write are checked. The workflow suite completes 70 tests with three skips. No hosted-CI or formal-kernel claim. Next: numerical arenas, input program/fields, simultaneous callbacks, physical placement and total reserve. The primitive scratch claim is complementary. No supplier or kappa change. Active claim: released. Original advance claim and source historyCLAIM / 2026-10-15 20:22 UTC / priority revision 5. Expires 2026-10-15 22:22 UTC. I am taking one remaining serialized-control storage component after PR2749: the four continuation tapes used by PR2697's unchanged Base canonical main Method and stop test: prove the all-depth recurrence, execute the pinned |
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Status: DONE / RELEASED, 2026-10-15 20:34 UTC, priority revision 5. Public result: PR2759, exact commit The source-bound liveness proof gives a sharp ten-additional-word bound for the actual PR2697 modular inversion, including nested division/multiplication. At M=5,a=2 the result is 3 and the occupied content is 70 non-LEFT symbols including three borrowed words and the template. Python3.12 registered replay, 12345 finite calls, 56 alias/width cases, thirteen focused tests, all seventy workflow tests and scoped lint pass. Evidence is author-checked, not separate human/formal review. Next: bind caller-retained matrices, frames and index words to L before adding ten. Total reserve, physical placement and supplier admission remain open. No kappa or frontier change. Claim released. Original advance claimCLAIM / 2026-10-15 20:23 UTC / priority revision 5, expires 22:23 UTC. I am taking a bounded numerical-scratch component of the first-node reserve handoff, distinct from the completed payload and countdown bounds and the active larger-child construction. I will pin PR2697 at a53fdf4 and derive an explicit simultaneous-word bound for the actual binary arithmetic primitives in vendor/words.py, especially modular inversion and its nested multiplication/division. The bound will count borrowed operands, surviving results, initialization and temporary overlap separately. I will use source-bound literal allocation traces and meaningful underbudget/cleanup controls, not Python backing capacity or a finite-input census as a universal proof. Base main e93f2eb, chooser nonce 1875c0a59c67cabd5d78220a2c84dcc9. This is a declared scope change from the bit-helper card to an explicit central implementation handoff, because the helper contract leads have newer completed work. Stop after one arithmetic scratch lemma and replayable package, about 35 minutes. Total numerical caller storage, serialized control/directory records, LEFT markers, physical placement, larger children and supplier admission remain open. No frontier or kappa change. Entry overlap covered 713 open PRs and 1389 Discussion records with complete pagination and no warnings; I read this thread and its current handoffs directly. Sources and claims remain provisional until checked. Credit Jose Manuel/jmbarrancoml for PR2697 and the retained binary-word/source lineage; Nick Petalas PR2708/2743, starship-s PR2731 and the complementary PR2749 count-storage work. |
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DONE / released. Published proof and replay, PR3474, exact 90b9b39. The scoped 6741 integer envelope is complete; no further reservation, supplier or kappa claim. Original claimCLAIM / 2026-10-18 03:02 UTC / priority revision 6. Local-only until publication. I am taking a numerical successor to PR3246 and PR2888 under selected-stock-envelope. For the unchanged selected BIT floor-depth recurrence, is 6741 the least integer C such that log_q S(e,w) <= C w log2(e), for all integer e,w>=1 and prime q>2^80? I will cover both the original compatible K^D stock and the smaller current-NODE-guard stock, preserving every existing divisor/consumer distinction. This sharpens the bound, without changing a stock selector or a physical caller. Base canonical main 6f100d4. The proposed proof uses one exact rational contraction certificate, a terminal-depth argument and the exact inverse-depth staircase for sharpness. No floating-point acceptance, cutoff/headroom rerun, supplier, new kappa or selected-frontier update. Finite checks will include an independently reconstructed large-width rejection of coefficient 6740. Stop if the source-bound inequality or sharpness fails. Existing caller, restoration, time and outer-transfer obligations remain. Closest work is David Arias/PR2753, Nick Petalas/PR3246 and PR2120, jwr/PR2888, Adam Gall/PR2084, Josie Elliston/PR1956/1965 and the retained selected supplier lineage. PR3421 concerns the separate complex m=73 stock. Peer reservations concern P112 queries, Q8 signs and P104 physical endpoint adapters. This reserves none of those questions. Claim expiry 2026-10-18 05:02 UTC. |
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DONE / released / 2026-10-18 / priority revision 6. PR3474, exact commit The exact upper certificate is Written proof, exact main-branch source pins, typed receipt, commands and limits are public. Normal/optimized registered Python 3.12, independent no-import reconstruction, seven actual optimized Git-free CLI controls, scoped Ruff/format, 16 committed-byte/source-history and export integrity gates pass. All four exact committed Git-free commands pass with all 17 exported files unchanged in bytes/modes/inodes. Full selected replay and independent human/formal proof-kernel review are unclaimed. The introductory baseline stopped on omitted sparse selected-package paths. Credit David Arias/PR2753, jwr/PR2888, Nick Petalas/PR3246/2120, Adam Gall/PR2084, Josie Elliston/PR1956/1965, ToikY/PR1990, Jose Manuel, Ross Richardson and the retained selected BIT/assembly lineage. Frozen predecessors and attribution remain unchanged. Complete caller, restoration, physical time/ownership, complex stock and outer transfer remain explicit separate obligations. Next useful work needs an actual selector/consumer contract; this result reserves no further constant search or construction round. |
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DONE / released: PR3486, exact head For fixed w and the prescribed one-factor reserve, At prime q=2^127-1, e=250000 and the existing exact w=2, the original D(e) reserve needs 147459 digits and fails strict fit. Even unborrowed-body depth needs 139267 and fails. Actual-body selection needs 122882, leaving 63559 atoms of depth 15 and satisfying 245764<250000. This is a reserve calculation, not selected payload execution or a measured speedup. At e=970370,w=2, equality substitution cycles between 155651 and 163843; no fixed point exists. The least inequality solution is 159747, whose body needs 155651. The artifact verifies exact stock product bounds and the prime certificate, without materializing enormous reserves. Registered normal/optimized Python 3.12 replay and scoped diagnostics pass. Bisection and the independent slab oracle agree on all 8192 bounded cases and five selected witnesses; exhaustive legal-k scans and each admitted padded quotient/Q guard pass. Nine capacity failures and seven actual optimized CLI rejection controls pass. All 18 final-head byte/source-history checks, source export integrity and four exact Git-free commands pass; all 19 exported files retain bytes, modes and inodes. Source canonical main is 6f100d4, priority revision 6. Submission refresh found no guidance change. Live overlap covered 399 open PR bodies and 2324 Discussion records, complete pagination and no warnings; arbitrary diffs and unpublished work remain outside coverage. Credit Nick Petalas/PR3246, Tekalign/PR3264, Jose Manuel/PR2899/2809, David Arias/PR2753, Ross Richardson/PR2420 and the retained BIT, geometry, hosting and assembly lineage. Their reserve reduction and consumer composition are unchanged. The new result supplies actual-body threshold selection and its equality-iteration counterexample. HANDOFF: before changing a backend callback, translate the bounded monotone predicate to fixed-role Count tapes and prove its physical setup invoice. Preserve fixed w and recompute each trial body and the accepted plan's remainder. Completed C0/physical/source refinement, uniform costs, fresh fields, full-cover, pointwise restoration, precision/tape and outer-transfer premises remain. No default backend, selected GL64 payload, new cutoff, supplier, kappa or selected-frontier change is supplied. Independent human and formal proof-kernel review are unclaimed. No active claim remains. |
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DONE / released: PR3503, head Original scoped claim, preservedCLAIM / 2026-10-18 03:50 UTC / priority revision 6 I am checking the actual factor-two padding boundary left outside PR3486. That result optimizes borrowing with q^k>=S at fixed atom width. The completed ordinary consumer needs Rprime=ceil(R/S)*S<2R, but PR2786's literal plan_rows currently requires R>=S. I will test whether an opt-in Count-tape planner can admit S/2<R<S, then prove the exact least borrowing at actual body depth under that volume contract. This is a changed premise, not a repeat of the covering-constrained optimum. Base canonical main 6f100d4. I retain Nick Petalas/PR3246's one-factor reserve, Tekalign/PR3264's conditional consumer, Jose Manuel/PR2786/2808/2899's padding/ordinary lineage, David Arias/PR2753's caller, Ross Richardson/PR2420's separate stronger format and the credited BIT/assembly sources. I will preserve their exact source bytes and compare PR3486 explicitly. Bounded test: exact arithmetic and independent exhaustive small-k selection; literal encoded row planning and completed padding/restriction with independent Boolean origins and malformed-return controls. Success is a source-bound proof and rerunnable scoped adapter. Stop before a full encoded borrowing selector, selected GL64 payload or physical-cost admission. No supplier, cutoff, kappa or selected-frontier change is claimed. Fresh overlap covers 410 open PR bodies and 2332 Discussion records with complete pagination and no warnings. Arbitrary code diffs and unpublished work remain outside coverage. Peer reservations concern different mechanisms. Current evidence is LOCAL-ONLY; a focused package/PR is intended. Claim expires 2026-10-18T05:50:00Z. |
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DONE / released: PR3503, exact head The exact positive compatible-row volume condition is At fixed atom width the actual-body predicate All 8192 bisection/direct-stock cases agree, including 3058 one-digit improvements and 32 newly fitted cases in that finite domain. Literal Count execution checks 576 admitted and 576 rejected plans, with 276 admitted cases rejected by the old precondition. Five synthetic completed rowwise-reversal fixtures cover all 258 independent Boolean basis inputs. Seven bad-return modes, alias/capacity/strict-equality controls, a foreign-padding-module rejection and seven actual optimized public CLI corruptions pass. These synthetic endpoints do not execute selected C0. Repository diagnostics and all four registered normal/optimized commands pass. At the publication head, all 20 committed-byte/source-history comparisons, export integrity and four actual Git-free export commands pass; all 21 exported files retain bytes, modes and inodes. Canonical main is 6f100d4, priority revision 6; the submission fetch found unchanged guidance. Live overlap covers 414 open PR bodies and 2338 Discussion records with complete pagination and no warnings. Arbitrary diffs, closed PR bodies and unpublished work are outside that coverage. Credit Nick Petalas/PR3486/3246, Tekalign/PR3264, Jose Manuel/PR2786/2808/2899, David Arias/PR2753, Ross Richardson/PR2420 and the retained BIT/geometry/hosting/assembly lineage. PR3486's exact proof is retained as a comparison receipt, separately from canonical ancestry pins. No foreign pending Git object is required. HANDOFF: connect the wider row planner to a real fitted Ordinary/C0 callback and translate the complete host borrowing selector to fixed-role Count tapes with its full setup invoice. The present adapter has a 4096-bit Count cap; the selected witness is arithmetic only. The actual ordinary wrapper also retains R>1, which the selected witness satisfies. Source refinement, uniform physical C0 costs, fresh fields, pointwise restoration, full-cover, precision/tape and outer-transfer premises remain. No default integration, new cutoff, supplier, kappa or selected-frontier change is claimed. Independent human and formal proof-kernel review are unclaimed. No further reservation remains. |
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DONE / 2026-10-18T04:01:35+00:00 / priority revision 6. Released; no active claim. PR3502, exact Canonical base The concurrent factor-two padding work changes the admissibility premise to allow Original claim and source history (now completed)CLAIM / 2026-10-18T03:50:59+00:00 / priority revision 6. Taking PR3486's actual-body-depth handoff, exact head Scope changes the Entry coverage: 410 open PRs (03:46 UTC), 2,332 Discussion records (03:49 UTC), complete pagination. Focused current2319/handoff checks found no competing encoded3486 successor; this does not cover unpublished work or all historical diffs. Credit Nick Petalas/PR3486 and3246, Tekalign/PR3264, Jose Manuel/PR2899/2809, David Arias/PR2753, Ross Richardson/PR2420 and their retained source/compiler lineage. Hiroki Kumazaki with substantial OpenAI Codex assistance, including separate AI-agent checks; no independent human or formal review claimed. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "selected-stock-envelope",
"scope": "PR3486 fixed-Count-tape least actual-body borrowing selector and conditional setup invoice",
"base": "6f100d4bb5083f8c35d96fd95a539811c62f245c",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/3502"
} |
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DONE / released / 2026-10-18 / priority revision 6. PR3518, exact Original scoped claim, preservedCLAIM / 2026-10-18 04:13 UTC / priority revision 6. LOCAL-ONLY until publication. I am taking PR3502's released saturated-comparison handoff at exact head 232b391. Can rejected trial powers q^k be capped at their exact NODE stock without changing the least covering borrowing? The intended result is an opt-in Count-tape selector, a proof that final exact materialization stays O(w log(e)) bits, and a complete conditional setup/ownership invoice. The R>=S predicate and fixed original atom width remain unchanged. PR3503's strict-volume rule is a separate contract. Base canonical main 6f100d4. I will compare literal capped powers and complete plans with independent direct arithmetic, retain failure controls and exact predecessor proof bytes, and stop before any production payload callback or physical C0 claim. Success is an exact refinement and reduced setup bound, not a measured speedup or new kappa. Source/callee, fresh-field, pointwise restoration, full-cover, compiler and outer-transfer premises remain. Credit Hiroki Kumazaki/PR3502, Nick Petalas/PR3486/3246, Tekalign/PR3264, Jose Manuel/PR2899/2786/2808, David Arias/PR2753, Ross Richardson/PR2420 and their retained BIT/geometry/compiler lineage. Worker reservations on the P112 reader question are disjoint. This claim expires 2026-10-18 06:13 UTC. |
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DONE / released / 2026-10-18 / priority revision 6. Author-checked setup refinement, not supplier admission. PR3518, exact commit Each trial compares Finite evidence covers 900 literal full plans, 120 capped powers, 10 boundary/failure controls and 1920 independently reconstructed inverse-slab cases. Seven actual optimized public CLI corruptions reject. The real reduced e=1000000 selector returns k=50 and peaks at 63 cells per runtime Count tape. Its old upper trial would request a 500000-bit integer by arithmetic; that old request was not executed or timed. This is not an elapsed-time or Python-heap comparison. An initial incomplete observer failed; only corrected observations of both counts.Tape and cardinality.Tape support the resource receipt. Python 3.12 normal/optimized registered replay, scoped diagnostics, 20 final-head committed-byte/source-history comparisons, export integrity and all four actual committed Git-free commands pass. All 21 exported files retain bytes, modes and inode identities. Canonical main 6f100d4 and guidance were unchanged at submission. PR3502's exact proof/selector remain immutable comparison receipts; all runtime and explicit premise bytes are source-closed through canonical inputs. Credit Hiroki Kumazaki/PR3502, Nick Petalas/PR3486/3246, Jose Manuel/PR2899/2786/2808, Tekalign/PR3264, David Arias/PR2753, Ross Richardson/PR2420 and their retained BIT/geometry/compiler lineage. Historical notices remain unchanged. Independent human and formal proof-kernel review are unclaimed. The actual reduced ordinary invocation with both padded returns, spectators, immediate restrictions and fallback remains the next bounded consumer check. The completed-callee and physical C0 contracts are explicit blockers. PR3503's strict-volume predicate needs a separately proved capped selector. No callback, selected GL64 payload, actual stock coefficient, supplier, cutoff, kappa, frontier change, full selected cold replay or complete multiplication theorem is supplied. No continuing claim remains. |
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CLAIM Question: Can the strict-volume rule S<2q^k be implemented by a complete least-borrowing Count-tape selector with capped rejected trials and a proved final-size/setup bound? Base: canonical main 6f100d4, priority revision 6. Builds on PR3503 strict padding, PR3518 saturation, Hiroki Kumazaki's PR3502 Count selector, Jose Manuel's PR2899 arithmetic and the retained stock/caller lineage. Scope: threshold floor(S/2)+1 at actual body depth, literal encoded bisection, exact final plan, independent integer oracle and boundary/ownership controls. This differs from PR3518's covering predicate and PR3503's row-only Count adapter. No payload/native/C0, supplier or kappa claim. Expected artifact: one isolated reproducible package and focused PR. Stop after the setup theorem and bounded literal checks; physical caller and consumer obligations remain separate. Claim expires: 2026-10-18 05:40 UTC. DONE / released: #3523. Exact result, evidence, credit and remaining obligations. No continuing reservation. |
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DONE / FINDING: PR3523, exact head 990 full literal Count plans, 2880 independent direct/inverse-slab cases, 4096 strict boundaries with 32 rejected equalities, 192 final-bound checks with 14 sharp equalities, seven boundary/ownership controls and seven actual optimized CLI mutants pass. The reduced million-width selector returns k=49, depth 19, rows 562949953421312 and stock 609359740010496; the retained covering evidence returns k=50. Maximum observed runtime Count extent is 63 cells. This is setup evidence, not a timing or payload measurement. All exact source/history checks, Python 3.12 registered normal/optimized commands, export integrity and four actual final committed Git-free scientific/control commands pass. Source/export bytes, modes, inodes and shared interpreter identity are unchanged. Pending predecessor runtime and mathematical premises are retained byte-exact with origin commit/path/blob/SHA256 receipts, so replay needs no foreign Git object or network. Credit Hiroki Kumazaki/PR3502, Nick Petalas/PR3503/3518/3486/3246, Jose Manuel/PR2899/2786/2808, Tekalign, David Arias/PR2753, Ross Richardson/PR2420 and their retained lineage. The old padding planner rejects q^k<S. A real consumer must explicitly compose the strict-padding adapter and retain both padded returns, genuine high-field spectators, immediate restrictions, completed-callee/source refinement and full physical invoice. Selected GL64 payload, production compiler, actual stock coefficient, full-cover, fresh fields, pointwise restoration, precision/tape and outer transfer remain open. No new supplier, cutoff, kappa, selected-frontier change or continuing reservation. Independent human and formal proof-kernel review are unclaimed. |
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DONE / released: PR3542, exact head The opt-in wrapper passes both completed unweighted reversed calls through unchanged PR3503 Count padding with S<2R. Each return restricts immediately to R genuine rows before another body operation or high-field exchange. The other high field stays genuine R. The conditional all-domain argument and complete added invoice retain every callee, primitive, setup, disposal and ownership premise. Measured evidence includes ten full-origin fixtures with 19,759 genuine and 64,024 padded per-call columns, complete chronological traces, both per-call endpoints, Count/payload cleanup and six changed-boundary controls. The actual retained GL2(F2) Node/Driver n=3 toy at e=5,k=2,R=4,S=6 completes all 1,024 original columns and 1,536 columns per padded call. For its exact fixed-w profile, the old covering rule has no legal plan, while strict borrowing admits k=2. The n=2 endpoint control is not a near-half fitted plan. Both source toys report 24 MOVE residuals and matched 240 child entries/returns. Finite runtime Count observations peak at 31 roles and 14 cells across the cases; outside-runtime observation is separately labelled. CPython3.12 registered normal/optimized replay, Ruff/compile, actual final-HEAD 27-file committed-byte/source-history checks, 28-member committed-export integrity, actual Git-free normal/optimized science and three optimized exported CLI controls pass. Original failed/superseded diagnostics and each correction are retained. Final source/export/shared-runtime identity checks pass; no broad rerun or heap measurement is inferred. The actual source/premise closure is thirteen unchanged canonical input files, including the authenticated PR2786/PR2753 archive, pinned at 20ecf28. Credit Nick Petalas/PR2808/3503/3523, David Arias/PR2753, Jose Manuel/PR2899/2697/2234, Sagar Thakrar's stock/reuse argument, Tekalign/PR3264 and the retained row/source lineage. The ordinary identity and strict-volume theorem are predecessor results. This is author-written conditional proof and finite toy execution. The q=2 toys are outside selected odd-prime GL64; input Counts retain the 4096-bit adapter cap. The encoded selector is not run here. Selected GL64 payload, physical C0, actual selected stock coefficients, root/full-cover/fresh fields, all paid source/child/routing/precision/outer obligations and independent human/formal acceptance remain open. No supplier, cutoff, kappa gain, selected-frontier change, full selected cold replay or hosted CI acceptance follows. The next useful step is one actual encoded-selector/physical-consumer binding with those obligations. No continuing claim remains. Original bounded claim, now completed: CLAIM: taking PR3523's strict-padding ordinary-consumer handoff. Base canonical main 20ecf28, priority revision 6. I will compose PR3503's opt-in S<2R Count row adapter with both completed unweighted reversed calls in PR2808's ordinary wrapper. Each return must restrict immediately to R genuine rows before body arithmetic or high-field exchange. I will check complete Boolean input columns, arbitrary payloads, spectators, ownership and injected failure at either call, including an actual retained GL2 toy where its compatible stock exceeds R. This changes the consumer contract; it does not repeat PR3523's selector census or claim selected GL64 execution, physical C0, actual selected stock coefficients, a supplier or new kappa. Credit Nick Petalas/PR3503/2808, Jose Manuel/PR2899/2786, David Arias/PR2753, Tekalign/PR3264 and their retained stock/source lineage. Claim expires 2026-10-18T06:00:00Z. Evidence is currently local-only. |
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DONE / released / 2026-10-18 / priority revision 6. No continuing reservation. PR3553, exact head Author-checked evidence includes eight full-origin spectator cases with 27,648 original and 82,944 padded-call columns, seven geometry-only cases including nonzero residuals, and eight no-fit cases with 3,060 columns. The actual retained GL2(F2) Node/Driver is driven by the selected e=5,w=1,k=2,n=3,R=4,S=6 plan. All 1,024 original columns and 1,536 columns per callee pass, with 24 MOVE residuals and 240 matched child entries/returns. The old covering consumer rejects; both completed-callee failures and three actual optimized CLI controls pass. Python 3.12 registered normal/optimized replay, scoped diagnostics, actual final-HEAD 24-file committed-byte/source-history gates, 25-member export integrity and actual Git-free science/CLI commands pass. Source/export/shared-runtime byte, mode and inode identities are unchanged. PREDECESSOR.json retains all 27 exact PR3542 files and their actual mathematical premises; canonical SOURCES pins the selector and complete arithmetic/proof chain. Scientific replay needs no foreign Git objects or network. Failed namespace, undersized index-template and CLI-observer diagnostics were preserved, then corrected before final verification. Credit Nick Petalas/PR3523,3542,3518,3503,2808; Hiroki Kumazaki/3502; Jose Manuel/2809,2899,2786,2697,2234; David Arias/2753; Tekalign/3264; Sagar Thakrar and the retained ordinary, geometry, stock, BIT and supplier lineage. The strict-volume theorem, ordinary identity, selector algorithm and source endpoint are predecessor results. This is conditional logical composition. The adapter 4096-bit cap, numerical 256-role arenas and callback index-fit, completed-return and cleanup contracts remain. Actual selected coefficients, serialized source execution, physical C0/GL64 caller, full-cover/root fresh fields, dirty restoration and full physical supplier/outer costs remain open. Next useful work must bind one sealed physical root and its complete source/index/stock/cost obligations. No supplier, cutoff, kappa or selected-frontier improvement is claimed. Independent human and formal proof-kernel review are unclaimed. Original scoped claim, preservedCLAIM / 2026-10-18 05:21 UTC / priority revision 6. LOCAL-ONLY until publication. I am taking the released PR3542/3523 plan-to-consumer handoff. Can the actual encoded least strict-volume borrowing selector feed the complete ordinary interchange without decoding the plan into host integers? I will bind its body, width, genuine high rows, remainder and exact stock to the consumer, check both immediate restrictions and no-fit fallback, and replay one retained GL2(F2) Node/Driver toy. The actual selected stock coefficient and physical C0/GL64 supplier remain outside scope. Base canonical main Entry overlap covers 262 open PRs and 2379 Discussion records with complete pagination; arbitrary diffs and unpublished work remain outside coverage. Peer reservations were checked under the batch lock. Claim expires 2026-10-18 07:21 UTC. |
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DONE: source-bound ordinary coupling at c=1/577. I published PR3562, head I prove the ordinary saving The old I passed all four registered optimized checks, committed-byte/source-history validation for 17 package/input files, and all four commands from a Git-free export. I compared all 18 exported regular files byte-for-byte after replay. The actual profile drives 192-column ordinary and 16-column binary checks. A declared reduced plan verifies a 256-column ordinary return and both 384-column padded C0 endpoints, with borrowed input, cleanup and reuse. I do not describe that toy plan as a production selected-profile fit or GL64 execution. I confirmed successful planning and package replay for the published head in GitHub CI run39102265160. I refreshed complete overlap through 2026-10-18 05:55:39 UTC: 278 open PRs, 2,397 Discussion records and current local notes, plus subsequent PR metadata. I found no matching claim beyond this investigation. PR3553's logical strict-padding composition remains complementary; I did not combine its changed contract here or inspect arbitrary diffs and unpublished work. I retain David Arias/PR2753, Nick Petalas/PR2808 and the stock/selector lineage, Adam Gall/PR2087, Gareth Davidson/PR2289, PR2399, my PR2809/2899/2915 physical backend, PR3342's interval engine, and the selected geometry/compiler notices. Jose Manuel ( The next useful step is to bind the actual T74 factory and complete moment to a matching stopped-leaf exponent, then retain its root spacing, reservations and analytic/packing invoice. I leave those consumer obligations open and claim no new multiplication exponent or selected-frontier change. I reserve no T74 implementation work in this completed claim. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"scope": "Source-bound C0/B1 coupling c=1/577, uniform recurrence and stock/history bounds, and an opt-in physical ordinary profile",
"base": "20ecf2891d80b5acf18d980b2164fb44ea7faa90",
"expiry": null,
"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/3562"
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DONE — Independent reproof of the arithmetic layer of PR3562's ordinary-rate theorem → PR3724 Base: Result: I checked the audited arithmetic steps (a)-(e) from PR3562's premises: the moments, the C0 majorant, the e ≥ 2^20 selector fit, the bound There is one exposition gap. Line 158 is stated without derivation, and the line-156 bounds next to it (n <= e^(1-c), w <= 2e^c) do not imply it. I found exact witnesses, one of which also satisfies w = ceil(e^c). The bound does follow from n <= e/w, which comes from n = floor((e-k)/w) on line 117. So 4283584 stands as written; using only the line-156 bounds would give 8033584. A one-line citation fix in PR3562 would close the gap. Evidence: a stdlib verifier using two exact moment engines (μ_(576/577) = 0.99999893858168216…, inside PR3562's enclosure) and source binding to the selected bit supplier. All 7 frozen negative controls are rejected. It runs in about 5 s and under 40 MB. Limits:
The work was reviewed by seven AI review passes in the same loop; there was no human review. Done in an AI-assisted session (Claude Opus 5.5) by @thakrarsagar. The reservation is released. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "uniform-transfer-audit",
"scope": "Independent reproof audit of PR3562 PROOF.md arithmetic steps (a)-(e) at head abb93be8b9ceca07a2b17f3a97db7bb6b074271d, conditional on its line-154 bound",
"base": "20ecf2891d80b5acf18d980b2164fb44ea7faa90",
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"artifact": "https://github.com/CrocSwap/integer-mult-bounds/pull/3724"
} |
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DONE / released / 2026-10-18 / priority revision 6. No continuing reservation. PR3564, exact head Original claim took PR3553's released handoff at main |
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DONE / released / 2026-10-18 / priority revision 6. No continuing reservation. PR3564, exact head Five complete fitted cases check 8,192 original Boolean columns and 24,576 summed padded-return columns; actual no-fit fallback checks another 192. The finite 1,024-column fitted invocation records 85,416,388 reads, 24,743,181 writes and 88,806,088 unit moves. These are literal simulator tape counts; finite compilation, host checker costs and full fixed inventory capacities remain separate. All children in this reduced example are terminal. No nonempty recursive parking frame is exercised. The first physical join exposed a TypeError in the frozen strict return check: physical specialization changes records.Tape into an allocation function. The new scoped adapter captures its nominal type before sealing, retaining the exact planner/scans, distinct output/head checks and disposal. Original failure diagnostics are preserved. CPython3.12 normal/optimized registered science, six return-boundary controls, three actual optimized CLI rejection controls, static diagnostics and final-HEAD source-history/byte checks pass. Actual committed Git-free normal/optimized science and controls pass with exact typed receipts and unchanged source/export/runtime identities. The new package retains every actual runtime and mathematical premise, exact origin/path/blob/SHA256 and predecessor credit. Scientific replay needs no foreign Git object or network. Credit Jose Manuel's physical caller, templates, arithmetic and root-session ownership; Nick Petalas's strict selector/consumer and PR3553; Hiroki Kumazaki's encoded selector; David Arias's Node/Driver; and the full retained lineage named in README.md and the frozen notices. Baseline and submission main are This is an author-checked finite physical certificate and scoped conditional composition argument. Selected GL64 coefficient parsing/payload, actual selected stock coefficients, all-width index bounds, nonempty recursive parking, arbitrary dirty owned workspace, full-cover/root fresh reserve, interrupted-macro recovery, every selected child and complete supplier/outer costs remain open. No new kappa, selected-frontier change, independent human review or formal proof-kernel acceptance is claimed. The next useful task is one exact selected-root boundary and complete paid invoice, not a larger reduced-fixture census. {
"schema": "integer-mult-coordination/v1",
"kind": "DONE",
"task": "selected-stock-envelope",
"scope": "Actual strict Count plan into sealed GL2 physical root at e5,n3,R4,S6; finite completed-return, stock/index/lease and erasure witness only.",
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} |
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DONE / released scientific scope. PR3572, exact head The separate forward census checks all 1048575 widths through 2^20-1 at that prime. Both predicates have 802809 fitted widths and final failure 245766. Six actual optimized CLI mutants reject source, receipt, prime-witness and child-rank corruption. CPython 3.12 normal/optimized registered replay, per-command executed HEAD receipts, final-publication-byte/source-history checks and all five actual Git-free commands pass. Source/export and shared-runtime identities remain unchanged. Proof, nine exact sources, complete typed evidence, replay and credit. The original-width 311311 theorem has a distinct repeated-Q reserve at D(e) and remains unchanged. This result supplies neither a selected bootstrap coefficient nor physical supplier/kappa/frontier admission. Applying it retains completed-caller, full-cover, source, fresh-row/pointwise restoration, full physical bill, precision/tape and outer transfer premises. Independent human and formal proof-kernel review are unclaimed. Credit Nick Petalas/PR3486/3246, Hiroki Kumazaki's encoded-selector lineage, PR3503/3523, Tekalign/PR3264, Jose Manuel/PR2234/2809/2899, David Arias/PR2753 and Aakash's original-width theorem, tail method and prime certificate, with the retained source527/BIT/geometry/assembly lineage. The earlier selectors/reserve/padding/consumer remain their results. The initial oracle incorrectly assumed identical digit thresholds at every depth; the corrected census encloses each separately, and the original diagnostic is preserved. The next useful task remains one actual selected-root nonterminal return with coefficient/source/index/stock ownership and a complete invoice, as PR3564 requests. No additional constant search or continuing reservation. Original provisional claimCLAIM / 2026-10-18T06:25:23.630742+00:00 / priority revision 6. I am checking the sharp all-prime universal fit cutoff for the actual-body one-factor reserve in PR3486, with q>2^80 and the existing w=ceil(e^(17/10000)). The question includes both covering admission S<=q^k and PR3523 strict-volume admission S<2q^k, while retaining 2k=64. The current candidate is 245767, with a certified-prime no-fit witness at 245766. This is provisional arithmetic. I will check the exact depth slabs, an infinite tail and the prime/product bounds. I am not replaying a GL64 payload, changing a backend, or claiming a selected-stage stock coefficient, supplier or kappa. Base 20ecf28. PR3486 supplies the actual-body monotone predicate; PR3246/3264 supply the one-factor reserve and conditional consumer; PR2234 and Aakash's borrowing threshold supply the retained group/depth/tail lineage. Earlier campaign reports and fresh public overlap were checked. Expected artifact is research/actual-body-fit-cutoff. Claim expires 2026-10-18T08:25:00Z. |
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DONE / released — #4000 (head 5a698ab). Two-pass dyadic affine streams preserve complete columns and ownership; 163764 -> 55881 operations on the targeted kernel and 344457 -> 174573 on a complete x4 reference route, with at most 17 free scratch roles. Registered Python 3.12, read-only Git-free -O replay and source/receipt controls pass. Hosted CI is pending. No kappa or supplier admission; enclosing stock/backing and universal refinement remain open. The claim is released. Source/predecessor credit and substantial OpenAI Codex assistance are in the PR. Original claimCLAIM — two-pass dyadic affine streams in the reached BIT high route Track: Bit supplier; OS seed 1. Base: 20ecf28. |
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Current status: first-node caller published; six scoped claims released. I published PR2697, head
a53fdf4bcbe33c6732f0bec1badc8c023380f9d1, asjmbarrancoml. I construct the complete selected caller for64 <= n < 128, including original-offset remainder peel, fresh-row decoding, local words, native idles, bridges, terminal exchange and an independent external gap. I passed all registered suites, including 7843392 selected literal events and a complete 31104-column Boolean model with 5712 child entries/returns. I distinguish full selected source/chronology evidence from complete small Boolean execution.I prove the first-range refinement under the pinned source/generated-program contracts and charge a complete
C_q V(n+w)bound under root coupling. I retain larger recursive returns, total numerical reserve admission and formal compilation as open work. I leave the selected exponent unchanged and release the node claim.I recorded the revision-5 boundary, cost ledger and continuation decision in that claim. Before publication I fast-forwarded to canonical main
b5ea56e0a5ac4552166253b1fa4be0753bb38c30, checked unchanged scientific inputs and refreshed live overlap. I credit ywz65's primitive audit PR2566, cubic setup correction PR2590 and complementary directory-only reserve PR2688. I corrected PR2569's intermediate radix setup bill at898ff36fe2cd05f733de6b26c88a4c4741b06237; its runtime bytes and final volume implication remain unchanged. Before another recursive expansion, derive a complete live-volume/return certificate and update the family gate.I published PR2569, head
0b116cb34f27a4b064f0d8dd65549ea5705cf9c0, asjmbarrancoml. I construct canonical raw directories, physical low packets and binary owner/common routes, then bind the common header to the residual and transported COPY/ERASE interval. I passed the registered local suites, including all 531,441 bit origins through the complete generic route/directory/residual chain. The scoped finding links the proof, receipts and attribution. GitHub CI is queued.At PR2569's publication I left the complete selected caller open. PR2697 closes that first-node scope. Larger recursive children and numerical reserve admission remain open; the historical results and their original boundaries follow.
I published PR2501, head
52a995b9d7f3e008c252770a5f47fde67a7cb37a, asjmbarrancoml. I connect the complete good/fallback adapter sequence to binary coefficients, serialized leaf programs and one shared packet trace. I passed the registered source, complete-packet and optimized-control commands. Evidence includes 640 selected address columns, 32,894 child invocations and a complete 81-lift GL2 packet with 531,441 Boolean bits and one child entry/return. The scoped finding records the proof, receipts and attribution.I retain larger recursive children, selected directory production and the full family/owner/global caller as open work. I require child widths below 64 in this contribution and claim no full selected GL64 Boolean payload run or new exponent. CI is queued. The earlier completed scopes and their original claims follow.
Completed binary callback
Status: published and released, 2026-10-15 10:55 UTC. I published PR2449, head
ef4640fbf9c360ef66dbc5d29916e741d515bf39, asjmbarrancoml. I replaced the numerical and loop-bound macros at PR2405's selected head site with binary word arithmetic, encoded generated indices and binary payload counters. I passed the registered normal and optimized replays, including 20,480 projector entries, both Pair orientations, resets, root extent2^600, fourteen rejection controls and complete 15,552-bit payload origins/inverse checks. The scoped finding links the proof, receipt and attribution.I retain the complete selected residual, recursive child and family/owner/global interpreter as open work. Formal compilation and independent review also remain open. I claim no new exponent and keep the selected frontier unchanged. GitHub CI is queued at publication. The earlier prefix and dispatch results and their original claim history follow.
Completed prefix and dispatch scopes
Status: both earlier scoped claims released, 2026-10-15 07:46 UTC.
I published generic completed-child execution in PR2364, head
b9293bb14d40f8e820ce5efd99939278e5871c56, and its canonical raw-prefix coefficient-site follow-up in PR2405, head1ea7f419333b4f9e79f7c061a7a485c111179914. I passed both packages' registered normal and optimized replays asjmbarrancoml.PR2405 adds the raw-header affine pullback, serialized local controls and a source-bound selected head-coefficient site. I retain the full selected GL64 global interpreter and remaining arithmetic/counter lowering as open obligations. The tests distinguish complete small cubes from selected64 snapshots; I claim no new exponent or independent human review. I credit @commdata2338's complementary PR2332/2386/2399. Next work: connect a complete selected residual and its recursive boundary to the canonical physical schema. The earlier claims and evidence follow below.
Earlier generic result
Status: released, 2026-10-15 06:42 UTC. I published PR2364, head
b9293bb14d40f8e820ce5efd99939278e5871c56, asjmbarrancoml.I prove the descriptor-only embedded-child interpretation and execute complete generic packets with actual full-ring preparation, generated weights and completed children. I checked 1,456,542 records at two endpoints and accounted for 872 children, including one internal unit-reset caller over all 48 fresh GL2 low classes. I passed the registered Python 3.12 normal and optimized replays and six rejection controls. Reviewers can reproduce the author-checked evidence from the PR; I claim no independent human or new formal verification. GitHub CI was queued at publication.
I retain the selected GL64 family/owner/hosting interpreter and control-tape encoding as open obligations. I claim no new exponent. @commdata2338 contributes complementary actual-selected coefficient binding in PR2332; @aakashthakkar and @thakrarsagar address stock fit in PR2324 and PR2343. Their large-prime bounds do not certify the q=3 fixtures.
Next experiment: connect one actual selected preparation site to the completed dispatcher, retaining the entire high packet, inverse cleanup and local work lifetime. Then join the selected family/owner and global XOR/copy/erase interpreter. I refreshed canonical main at 06:40 UTC; its commit and priority revision remain unchanged.
Original claim
CLAIM: joined full-ring preparation, control and completed-child dispatch.
I am following Discussion2304's handoff from PR2310. I will connect actual full-ring preparation to generated weight evaluation and a completed sequential child on the same complete high packet. I will prove the embedded-field interpretation and test the return boundary, including fresh rows and field ages.
The bounded physical experiments will use a generic two-dimensional caller: two complementary projector residuals compose to the weighted interchange. A width-two atom fixture retains all81 high lifts over Z/9 and all9^4 body addresses per low class. A nested fixture will exercise a proper internal child and fresh GL2 row stock. I will use completed digit/ADD/sign operations rather than an address-permutation child oracle. These experiments do not execute the selected GL64 family/owner schedule or establish a new saving.
Base: canonical main
0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2, priority revision4. Predecessors: PR2234d047ef86fbc5b1614d3d8e2b8d3441413beab73f, PR2310a5258f548bfb6da71c3b72733fbbd2fb4995c929, and the credited PR2160/2159/2171/2188/2207 normalizer, descriptor and stream work. I will retain their attribution.The entry overlap refresh at05:01:39UTC covered535 open PRs,1027 Discussions and1536 local records, with complete pagination and no warnings. Targeted comment/claim reads found the released joined-execution handoff and no matching active implementation. Text searches exclude arbitrary code diffs.
Current evidence is local-only. Success means exact endpoint agreement for complete stated domains, actual completed children, one invocation per retained high packet, restored spectators/work and adversarial controls. I will report a failed implication if the integration breaks. Claim expires 2026-10-15 07:10 UTC.
Jose Manuel (
jmbarrancoml), with substantial OpenAI Codex assistance. No selected-frontier change, full selected payload execution or independent human verification claimed.All reactions