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Conditional κ = 0.001661202643272239: eight B-frame coalescences after SW4 - #741
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…ck/jp8 words (does not cover CrocSwap#741-style jump-merging frame raises) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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…olver rediscovers its recipe check_sw4.py reproduces CrocSwap#741's pinned output hash from PR699's SW4 word and shows the frame LP optimum equals CrocSwap#741's weight (linear and exact-root at CrocSwap#741's complex root). CP-SAT with the audit's cone caps finds exactly CrocSwap#741's profile from the PR699 input. Six reorder restarts on CrocSwap#741 give no gain.
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…ling contributions Select conditional kappa 0.001661634653669567 from Jeremy Kothe's #799 on Chafik's #741 and the #589/#555 bit supplier. Preserve the previous checkpoint and cumulative attribution. Complete #795, #777, six #681 component reviews, and five exact tooling reviews. Integrate #806 as a scoped hash-substitution diagnostic with an adversarial counterexample to timing-only attribution. Retain source-pinned evidence and separate publication/CI state.
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… pinned stages concurrently Adds scripts/verify_complex741_parallel.py, which executes the pinned research/complex-sw4-frame8/verify.py statement by statement and hands each run(...) call to verify.py's own run function once its prerequisite stages pass. Output-reading statements run unchanged after all stages. The stage graph is checked against a recorded per-stage file-access trace (ACCESS.json). Three same-machine replays (sequential, --jobs 8, --jobs 3) agree on all 304 files up to elapsed time and digests of timing-only files. No pinned file, kappa or check changes. Prepared with substantial AI assistance (Claude).
This was referenced Oct 13, 2026
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Mister-Meeseeks
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…o new kappa) New sibling driver; verify_frontier741.py stays unchanged (hash-pinned). Same commands, env and output layout; fail-fast. About 17% less wall time, same output tree modulo timings and digests of timing-bearing files. Substantial AI assistance.
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Eight B-gate frame changes improve the independently replayed PR699 witness from κ = 0.001660666354374641 to κ = 0.001661202643272239. Each frame grows from dimension four to six, coalescing paid jumps. Every scalar gate, entrance, terminal frame, residual width and physical owner placement remains unchanged.
The combined local-profile change is
{1:+8, 2:-8, 3:-8, 4:+8}. The new global profile is{1:184033, 2:24048, 3:30961, 4:13968, 5:4032, 8:576, 44:1, 48:2396}. The exact complex lower endpoint is1663966829367501881629/10^24; PR589's bit endpoint remains1733427039589844234749/10^24.The standalone standard-library package rebuilds PR558, gauge44, the no-triangle and p6n words, four promotions, PR699's four read exchanges and the eight new frames. It reconstructs all 36,288 owner roles from the integer flow/matching certificate and a checked helper permutation. All inherited global-admission assertions remain identical to PR699's.
Validation is recorded in
research/complex-sw4-frame8-validation/: fresh macOS and Linux runs, exact native and independent scalar checks on all 728 columns, 2,953 phase edges, residual wrappers, 95 final end mutations, ten focused frame mutations, three recipe-pin mutations, nine owner-certificate mutations, 69 admission mutations, 12 bit-supplier mutations, two exact moment engines and all 47 strict outer constraints. The separate prior PR589 bit-circuit replay is explicitly identified as reused; each new platform run exactly reprices its pinned bit record.Credits: PR699's BRoute read exchanges and minimal promotion recipe; PR676's p6n construction and per-end controls; PR664's BlockInvert promotion machinery; our PR685/PR660 owner certificate; and all retained gauge, no-triangle, native-audit and bit-supplier lineages. Source commits and original notices are retained in
PROVENANCE.mdandprovenance/. Prepared with substantial OpenAI Codex assistance.This is a finite conditional witness. All-size compilation, common-label/mutable-source realization, complete-call hosting, precision/tape accounting and analytic transfer remain assumptions. No frame-search or packing optimality, unconditional multiplication theorem, or κ = 1 is claimed.