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Reconstruct a G20 native SOURCE from five prior values; ordinary BIT 0.003484629984 - #5647

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Mister-Meeseeks merged 2 commits into
CrocSwap:mainfrom
aliromman:codex/g20-active-source-quotient
Oct 26, 2026
Merged

Mister-Meeseeks merged 2 commits into
CrocSwap:mainfrom
aliromman:codex/g20-active-source-quotient

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A five-value native history reconstructs the missing SOURCE77 function at FRAME509. It lets helper444 replace H3+H1 by H4 while preserving every independent target and reusing the old zero centre. This is a new source reconstruction, distinct from PR5639's helper465/467 snapshots and PR5629's four retirements.

The complete ordinary BIT saving is 0.003484629984, versus the pinned PR5512 value 0.003483969976. The signed moment improves by 18*(1+3^t-4^t) for every 0<t<1; the full caller has 56,979 paid requests, 11,238 productive targets and eleven owned banks. No original input is erased and all five gathers, dirty clear, injection, routes and finite fees are charged. The old zero-centre work is removed from the literal program.

This is an independently usable component improvement, not a new best whole multiplication kappa. PR5641's separate four-retirement component is already numerically stronger. Combining them belongs to the integration lane; no such composition is claimed here. The selected frontier is unchanged.

Read research/g20-affine-history/PROOF.md and RESULT.json. Source base: canonical main df0137efd35e11b4445734bf612bdd4c7ebc330c; priority7. All 152 source-closure files are pinned and declared. Coordination.

Validation: Python3.12 standard-library registered normal and optimized replay pass. They check all 660 local RAW/DIRTY columns, exact rational H3/H1/H4 composition, full physical controls at 101 and 101 squared, the literal eighteen-call tape, an independent 11,249-column event replay, all unchanged target descriptors, two exact interval engines and fresh ordinary compiler constants. Missing-gather, missing-dirty-clear and underpriced-move controls reject. Committed-byte and export-integrity checks pass. Git-free replay is recorded in VALIDATION.md. Full-history ancestry, independent human/formal proof and hosted CI are separate.

python3.12 -B scripts/research_package.py --package research/g20-affine-history

Expected marker: PASS_G20_AFFINE_HISTORY_ORDINARY_003484629984.

Credit ai-nanachi PR5512, Ali Romman PR5421, Dugongue PR5629/PR5639, DreamingOfClouds, eumemic, Cinna Davis, rohanarun, zxv, Jacob Alan Sussman and all retained notices. Prepared by Ali Romman with substantial OpenAI Codex assistance; no subagents. New work is Apache-2.0. The retained native/all-width, ROW, compiler, owned storage, precision, fixed-tape, completed-backend and analytic assumptions remain.

@Mister-Meeseeks
Mister-Meeseeks merged commit 553d26d into CrocSwap:main Oct 26, 2026
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