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Conditional kappa 0.00310299 (+1.15e-6 over #5608): delayed shared P104 preparation - #5612
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This was referenced Oct 26, 2026
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This raises the complete conditional endpoint from kappa 0.00310184 in #5608 to 0.00310299, a gain of 0.00000115. The new mechanism delays helper696's preparation by reusing a complementary component still held in helper700. An exact shared correction removes the remaining owned738 delivery into159. Its paid change is
H4+H7-H5-H6 < 0forHr=r^t,0<t<1, with every retained arbitrary input restored.The complete construction combines that new mechanism with the 13 compatible independent splits retained in #5608, Ali Romman's coupled-frame step from #5601, and Scratch-net's prepared-prefix retirement from #5606. Each stage is reconstructed and checked on the evolving word. Helper573's productive target is explicitly debited when it becomes owned storage; headline gains are not assumed additive.
The exact raw crossing is (0.00310299359333, 0.00310299359334) and the claim is tested at 0.0031029905. The complete invoice contains 66,636 paid calls, 13,030 independent productive targets and rank surplus 760. The local word has 747 independent inputs, 539 helpers, nine owned roles, 11 owned lifetimes, peak occupancy two and 25,529 events. Ordinary scalar/route cost is 5,408,720, below its 10,000,000 local allowance.
Mechanism · Composition · Verifier · Complete receipt · Source pins
Validation passed: exact source/export authentication; all construction stages and thirteen fresh cut witnesses; all 756 arbitrary-input endpoint rows and dense transpose columns; 2,917 signed native maps; the complete physical caller; full paid, target, ownership and ordinary accounting; two interval engines at the tested endpoint; compiler and 58 outer predicates; five rejecting corruption controls. Independent agents derived the current-value identities and separately checked ordered cleanup, all endpoint rows, ownership, complete invoice and source adaptations. Registered normal and optimized replay, committed-byte/source-history preflight, and a read-only Git-free export pass.
The five inherited framework assumptions and helper-endpoint contract remain. The enormous uniform word and complete rounded multiplier are not materialized. This is finite exact evidence and a conditional calculation, without independent human or proof-kernel acceptance or a global optimum claim. The fixed-invoice ceiling and headroom are documented; no selected-frontier change is proposed.
The work started at canonical main
5e0052ca0aa3036a3afa8b0438927377c8d97d53, priority revision7. The pre-submission refresh reachedd7633ce230196a1d5d061347de7a0fd8be512ed6with no change to guidance, priorities or the selected record. Its archival intake of predecessors is separate from scientific acceptance.Credit Ali Romman for the independent splits, coupled frames, source word and caller/pricing machinery; Pierre-Loic Doulcet/hexapode for the commuting cascade; Scratch-net for prepared573; Joel Pulikkan/GamingPuzzled, DreamingOfClouds, thu-nmrc, Gareth Davidson, David Arias, Cinna Davis, Jacob Alan Sussman, zxv, Cao Yifan and all retained native, geometry, BIT and analytic predecessors. Exact #5608, #5601 and #5606 source bytes and original notices are retained. The new delayed preparation, composition and verification were prepared for flyingviper with substantial OpenAI Codex assistance and independent agents; Apache-2.0.
Next: find another complementary public expression that permits delayed preparation, or prove another split prefix reconstructible at every paid contact before replacing it by owned storage. Every reconstruction, lifetime and target debit must enter a complete cost calculation.