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Research construction: signed CK reuse saves 926 primitives - #860

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amazedbot:research/ck-signed-coefficient-routes

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@amazedbot amazedbot commented Oct 13, 2026 •

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Finite complex-supplier construction on the historical #626 CK provider; no new kappa claim.

Saves 926 forward real-component primitives beyond same-domain positive-read reuse with accepted PR696 copy resets. No additional backward saving.

Admitted into a fresh PR626 replay; kappa unchanged. After scripts/verify_frontier626.py passes, admission.py:

  1. confirms the CK native inputs (programs, checks, native replay) are byte-identical, so the native frame/wrapper admission covers the unchanged event stream;
  2. confirms coefficient work is two dedicated physical registers, so the longer work live range needs no new hosting;
  3. re-issues the retained invoice with the signed CK counts; every strict check passes;
  4. confirms the CK fractional depth (8 bits; forward rises 3→4, backward already 8) and the global prefix (286 of 512 bits) are unchanged;
  5. reruns the retained assembly and admission controls, reproducing kappa 51110230636731/31250000000000000 exactly.

Only the CK contract and local-recount SPEC pins are replaced; kappa, profile, hash and control-count pins are kept. Selected scalar recount: 18,263,888 → 17,530,324 real-component primitives (includes predecessor savings; 926 are due to signed reads). Not a contribution to the current #799 X4 frontier.

Base: f567884. Reproduce:

python3 -I -B research/ck-signed-coefficient-routes/verify.py
python3 -B scripts/verify_frontier626.py --work /tmp/f626
python3 -B research/ck-signed-coefficient-routes/admission.py --work /tmp/f626 --out /tmp/f626-signed

Also verified: 725 columns, 1,080,288 route cases, 15 negative controls (each must fail with its stated reason), exact fractional depth cross-checked by a second integer-only implementation, six package tests, and selected-record integrity. Both implementations are AI-written and share the cost model and inputs. All-size, realization, hosting, precision/tape and analytic obligations remain inherited.

Full evidence, source pins, predecessor credit and limitations: research/ck-signed-coefficient-routes/README.md

Prepared for AmazedBot with substantial OpenAI Codex assistance; precision check, control tightening and PR626 admission added with Claude. No independent human review is claimed.

amazedbot and others added 3 commits October 13, 2026 04:03
Add the scoped circuit, full scalar replay, independent integer enumeration, source pins, exact receipts and adverse controls. Signed reuse saves 926 forward real-component primitives over same-domain positive-read reuse with accepted PR696 copy resets; no backward increment survives the stronger comparator.

Prepared for AmazedBot with substantial OpenAI Codex assistance. No independent human review or full multiplication-theorem verification is claimed.
Record exact low-end precision for the original and signed lowerings
(forward 3 -> 4 fractional bits, backward unchanged) and cross-check work
depth in the second integer engine. Every control must now fail with its
stated reason. State the live-work interface and precision caveats up
front, describe the two engines as same-author implementations, and trim
process notes from CLAIM/VALIDATION. Circuit, routes and counts unchanged.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01RGiT1dsdiBHQMR8qhHe2RZ
Add admission.py and revise_invoice.py. On a passed frontier626 replay
they check that the CK native inputs are byte-identical, that coefficient
work is dedicated physical stock, re-issue the retained invoice with the
signed CK counts (every strict check passes), confirm the CK fractional
depth (8) and global prefix (286 bits) are unchanged, and rerun the
retained assembly and admission controls, reproducing kappa exactly.
Only the CK contract and local recount SPEC pins are replaced.
Receipt pinned as ADMISSION.json; docs updated.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01RGiT1dsdiBHQMR8qhHe2RZ
@Mister-Meeseeks

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100-PR batch review at 72899c888af7e171f8aba4d5c66f4b31a5719eba.

This remains open after scoped triage. Next review step: Local signed coefficient lowering includes a whole #626 admission claim; authenticate the reused full-replay payload and altered invoice before whole-head incorporation.

This is a specific continuation point, not a rejection or a request to redo already recorded checks. Completed local evidence is retained separately from outstanding whole-head obligations.

Batch review, attribution and evidence. Thank you for the contribution.

@amazedbot amazedbot closed this Oct 14, 2026
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amazedbot deleted the research/ck-signed-coefficient-routes branch October 14, 2026 22:30
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3 participants