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κ = 0.001138823042306561 = 1138823042306561/10^18
This fresh branch independently verifies the frozen PR CrocSwap#443 R740/rank138, 32-replica construction. It adds an exact stdlib Fraction projector audit and a reproducible receipt without changing the candidate word or claim.
Checks: 944 source frames, 3,364 nested forward pairs, 3,364 reflected pairs, 16 residual isometries, entrance rank 138, 26,019 exact bank families, complete paid profile, and fourteen mutation controls. A clean global replay reproduces 288 local calls, 213,120 helper assignments, 2,891 banks per stage, 7,620 restored unbanked scalar columns, 123 prefix bits, emitted digest
4f83de501c4175bd9c4f3b107d7c24ff5980abfa551b8674a0c0149fdef74e46, and deficit 9,984.The exact composition passes both rational moment engines, the finite invoice, six bootstrap levels, all 47 strict outer inequalities, and the adjacent 10^-18 grid plus zero/unit controls. The binding bit endpoint is
0.001140121438872176364117; the cited PR CrocSwap#433 complex endpoint gives the equality above.This is finite and conditional: PR CrocSwap#433's complex supplier and analytic/all-size interfaces remain cited dependencies. PR CrocSwap#444's idle-data hosting extension is excluded because its hosted operator and dirty-restoration lemma still need explicit scalar replay.
Prepared with substantial OpenAI Codex assistance; source licenses, notices, provenance, and disclosures remain in the candidate package.