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Certify signed Type A factor circuits and gauge - #7439

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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-signed-factor-circuit-gauge-20261112
Open

ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-signed-factor-circuit-gauge-20261112

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@ToikY

@ToikY ToikY commented Nov 12, 2026

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On the exact #7334/#7113 signed Type A caller, the two full-suffix configurations have complementary minimal 19-factor circuits. The lexicographic 19-set is a rank-18 involution and still needs 19 transvections. Adding the other J1 factor gives an exact 20-to-19 normalized realization at the two real signs with unit bodies. Any length-19 realization of that residual must cross the fixed gathered role planes in all 19 factors. At the legal profile D8 = −1 with the other bodies unit, a diagonal sign conjugation carries the exact witness to the independently replayed nonunit residual.

From a clean POSIX checkout, run python3.12 -I -B research/p104-signed-factor-circuit-gauge/replay.py. The package authenticates exact sources and receipts, checks both rational engines and the full factor products, and rejects corrupted factors and omitted body action. Registered replay, exact commit and modes, official Git-free read-only export and all 27 onboarding tests passed locally.

Literal replacement of all touched hosts has gross upper saving below −680.3199 raw. The positive one-host quote needs 16 proved retained embedded channels. Arbitrary-body and imaginary-sign identities, native host reuse, ownership, precision and tape pricing remain open. NO VERIFIED GAIN.

#7334 supplied the comparator and #7113 the literal caller. #7419, #7420 and #7435 supplied the interval, pair/triple and four-factor controls and prior price. OpenAI Codex and its subagents materially assisted proof, implementation and independent verification.

Clear1nsight and others added 3 commits November 11, 2026 15:39
This is the exact documentation prerequisite retained by CrocSwap#7156. It points the onboarding check to the selected CrocSwap#7000/CrocSwap#7001 review. Credit to Rohan Arun and the source authors.
The PR CrocSwap#6292 rejection census and package plan are statements about 2485805. Load its exact sources and planner in a private sparse checkout, keeping all source hashes, 19 expected rejections, nine package selections and the empty-plan control. Subsequent edits to the live Makefile and CI guide no longer invalidate this historical check.

The original audit is by unpaidmoon, building on Dennis’s historical replay gate. The pinned repository view follows the precedent of Matarener’s PR CrocSwap#5434. Repair prepared with substantial OpenAI Codex assistance.
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2 participants