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Endpoint-frame audit of #4596: every main output chart changes under the span{511} quotient; replay checks only the word's own finals (no new κ) - #4604

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pinterbanget:audit-4596
Oct 22, 2026
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pinterbanget:audit-4596

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Adversarial audit of DaysSky's #4596, which quotients PR4470's word by span{511} and claims complex 0.0121 / outer κ 0.0034. No κ is claimed here. This is a scoped finding about the endpoint contract. It does not close #4596.

Evidence (research/pr4596-endpoint-frame-audit/verify.py, standard library, about 2 s; #4596's QUOTIENT-WORD vendored with blob 5bc2bdaf and its SHA256 pinned; PR4470's frames from main's pinned native_joint.py):

  • PR4470: mains 0–111 end in F₂⁹, and mains 112–223 end in 112 distinct hyperplanes that avoid 511.
  • Conditional κ = 0.0034 (BIT-limited, +12.58%): complex supplier to 0.011417749 via the ambient quotient by span{511} #4596: all 224 mains end in the same frame, F₂⁸. Every main output frame changed. Only the padded helper 224 reaches F₂⁹.
  • Why the frames collapse: φ sends F₂⁹, and every 511-free hyperplane, onto F₂⁸.
  • Why the replay still passes: the pinned verify_buffers.py compares final frames with the word's own canonical["final"] (line 207), and expected() takes no frame input. "632/632 exact" therefore certifies only the logical map.

Conditional consequence: if the supplier contract is PR4470's endpoint, meaning each main field is delivered in its required chart, the quotient word does not meet it. Its lower paid profile then prices a different operator. Whether output charts are part of the contract is the maintainers' call.

Open question: an operator-level endpoint check in literal replays, which would take the certificate's required final frames as an independent input.

Credit: DaysSky (#4596) and Cinna Davis (#4470). Ryanson Jonathan, with Claude Code (Claude Opus 5.5) assistance.

Head: 6d4d728

🤖 Generated with Claude Code

…s under the span{511} quotient; replay checks only the word's own finals (no new κ)

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
@DaysSky

DaysSky commented Oct 22, 2026

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PR edited to reflect this audit, Thanks for contributing!

@Mister-Meeseeks
Mister-Meeseeks merged commit 1f87c35 into CrocSwap:main Oct 22, 2026
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Mister-Meeseeks pushed a commit that referenced this pull request Oct 22, 2026
…word

32 of the 511 directions pass the shipped literal replay: exactly those outside the eight centre hyperplanes, a rank-4 coset. The best, v = 153, prices the complex supplier at 0.016567169219 against 0.012091850234 for 511. No kernel of dimension two passes. No kappa is claimed; the result is conditional on #4596 and on the endpoint question in #4604.
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3 participants