[jeremykothe2]

Summary

Conditional κ = 0.001714600409398252002486817215134092121999401088361771839731… (3046 decimals; the exact value is kappa in research/gmx-t74-borrow43-handoff/outer/OUTER-CLAIM.json, SHA-256 of the decimal string 5c78727db24069d7e33e385a697306b4ac4b20a36a26eb0d3636d0c88d8d2731). This package gives our PR2588 words a priority-ordered call order and the window-optimal owner fill for it. The priority re-ordering idea is PR2621's (themilkman216); the evacuation method is PR2559's (philippeVV); the realize flows are PR2530's (zxv); the offset search for the order (priority key 8s+2r+d_s, with d = [-10,-1,-5,-8,1,0,0,0,0]) and the fill are ours. The words are unchanged from PR2588 (PR2530's (zxv) eight source-partner aliases with our swap of the helper labels of lenders 80 and 88 to registers 596 and 600; 422 helpers per call, local profile {1:2367, 2:632, 3:318, 4:120, 5:26, 7:8}, width inventory {4:33, 5:9, 7:62, 8:78, 9:240}), as hash-checked patches on the PR2462 supplier. What changes is the owner side: the call order and dispatch (new/borrow-fill/ORDER.json, DISPATCH.json) and the owner fill evacuated for that order (FILL.json.gz; leftover idle {1:21978, 3:6594, 5:554, 32:1, 48:26558}). New in this package, by Jeremy Kothe (jeremykothe2), with AI assistance: the order and fill, their exact checking (every window, bin, helper and family rule literal) and the integration into our pipeline, with the cut-centre guard of PR2478 (mdumitrean) and the helper-index guard of PR2508 (ywz65), each with a negative control. Portability (audit of PR2474 by philippeVV; fixes of PR2559): all generated artifacts and their pinned hashes are LF-only, verification never writes into the package (receipts go to the work directory), and the alias controls re-derive the cleanup. Also carried: private cleanup-buffer stock accounting (PR2309, PR2315; physical stock 66814 = 66304 + 422 + 8 + 78 + 2), the pooled-slot time binding (PR2301, PR1959) and the 1e-3000 endpoints with the fixed-grid-maximum outer kappa C - 1/F - B (PR2180 / PR2161; PR2168). Conditional final kappa = 0.0017146004093982520024868172151340921219…(3046 digits) (supplier strict-assembly kappa 0.0017116655868822308302229209636480372537…(2995 digits)). It exceeds PR2621 (exact kappa from its CLAIM.json, the live leader when this package was built) by 3.30328E-7, PR2530's exact kappa 0.0017137379215475043467519999... by 8.62488E-7, our PR2575 by 7.21089E-7 and PR2571 (rohanarun, kappa 0.0017137844912361143...) by 8.15918E-7 (exact gates in verify_release.py). grid_digits 2995, margin_digits 3005, bootstrap_steps 1116; 63 strict inequalities, 17 rejecting controls.

Verification

Fresh checkout of 45aadf0fc7f0dedfb0df959479a20cc1c7be4917. Manifest: a3ef3400a500637fae90949a8d24e2f2343995c13e44d88dbc87f13a7e59abf2.
PASS package manifest: 448 files

Supplier: the package's own unchanged verify.py (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION, native reuse none (fresh replays); its complex endpoint 857300204699126001243408607567... brackets the ledger's b = 1714600409398252002486817215134092121999…(3078 digits)/1000000000000000000000000000000000000000…(3081 digits). Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (63 strict inequalities: the 62 retained rows plus the explicit main-binding row gaussian_above_main, the fixed-grid maximum kappa = C - 1/F - B asserted, 17 rejecting controls incl. the old g-factor union row, the old linear and old-theta chirp guards, the old 2*beta tag test, epsilon at 1 or at the r0 slack and beta outside its window, larger endpoint rejected by the native moment), independent balance derivation, the exact union-schedule simulation, the (retained, not used for kappa) structured-boundary displacement-rank check, the gauge-free identity/symbol/circuit checks, PR1786's finite prime/underflow controls and 19 exact evidence replays all pass. Conditional kappa 0.0017146004093982520024868172151340921219…(3046 digits) (union schedule outer/UNION-SCHEDULE.md; explicit Strassen boundary tau=45/16 (the structured boundary of outer/STRUCTURED-BOUNDARY.md is not used); gauge-free interiors outer/GAUGEFREE-INTERIORS.md; fine source-prime padding PR1786 at the free point epsilon=1-(1025/1024)e-3080, outer/FINE-PADDING-COMPOSITION.md; fixed-grid maximum of PR2180/PR2161 (dataisfire), outer/PROOF-GRID-MAX.md; exact-integer coarse exponential PR2168/PR2184 (dataisfire) at the one 3000-digit rejection call).

Full package-owned verification passed in 554.34 seconds. The fresh receipt binds the exact package manifest and score.

See research/gmx-t74-borrow43-handoff/README.md for reproduction commands and proof qualifications.

Credits

PR2621 (themilkman216): the priority re-ordering idea that this package applies to our PR2588 words (new/borrow-fill/ORDER.json, DISPATCH.json). PR2559 (philippeVV): the owner-fill evacuation method, and the portability fixes (line endings, receipts outside the package, re-derived controls, dependency declaration) reused here; philippeVV's audit of PR2474. Jeremy Kothe (jeremykothe2), with AI assistance: the offset search for the order (key 8s+2r+d_s) and the window-optimal fill for it, and the integration. PR2530 (zxv): the eight source-partner aliases, their words, and the checker pins (new/borrow/inputs/alias8_43*.json, independent_core.py). PR2436 (tekuuu): the lifted-target aliases and the A-phase prelude mechanism that PR2530 extends. PR2322 (Vlado Vojdanovski): the handoff construction; PR2435/PR2447/PR2462/PR2474/PR2526 and PR2312 (ours): the entrance raise, the supplier chain and the borrowed words. PR2478 (mdumitrean) and PR2508 (ywz65): the cut-centre and helper-index guards. PR2309 (Dugongue) and PR2315 (thakrarsagar): private-stock accounting; PR2301 (navinor / Aaron Wang) and PR1959 (Josie Elliston): pooled-slot time binding; PR2161 / PR2180 (dataisfire): fixed-grid maximum; PR2168 / PR2184: exact-integer coarse exponential. PR2226 (Cinna Davis / 1337isnot1337 with OpenAI Codex): anticipatory dirty borrowing. PR1786 (chafreaky / Chafik Boukhalfa): fine source-prime padding, its proof and checks, vendored under vendor/pr1786; Tim Trudgian: effective prime number theorem (arXiv:1401.2689). PR1673 (Vlado Vojdanovski, with AI assistance): capped phase-cell fusion outer construction, its proof and exact evidence, vendored under vendor/pr1673. PR1758 (IdeaOuter and contributors): fractional-shift gauge-free interiors, accretive shallow-circuit lemma, per-visit tag accounting. Jeremy Kothe and contributors (PR1731 ledger lineage, radix-union schedule), LeverRank (independent schedule simulation), Gohberg, Semencul, Kailath, Kung, Morf, Bitmead, Anderson, Pan (structured Toeplitz-like algorithms of the retained alternative), Francois Le Gall et al. and Chafik Boukhalfa (PR1699). Supplier: PR1625 (mdumitrean), PR1661 (midhatn), pivot-554 kernel (PR1672 lineage) and the PR1319/PR1297/PR1274/PR1286 lineage as in earlier packages. PR1956 (Josie Elliston: the bootstrap-cutoff carry finding and repair), PR1897 (M6LI), PR1876, PR1875 and PR1828 (rohanarun): the endpoint and slack refinements that this package exceeds; rohanarun also PR1319 and PR1297; chafreaky PR1786; Vlado Vojdanovski PR1673; mdumitrean PR1625; midhatn; philippeVV PR1519 (odd-term Mercator finding); Kothe and the existing lineage. PR1964 (thakrarsagar / Sagar Thakrar): Lemma G label and adapter-rule checks and the X/Y/Z adapter mutants (code/lemmag_checks.py), Lemma G by DreamingOfClouds (PR509 / PR516). PR2161 / PR2180 (dataisfire, OpenAI Codex-assisted): the fixed-grid maximum point and its proof, re-derived at this endpoint; PR2044 (Kothe) free-epsilon refinement they stack on; PR1786 (chafreaky / Chafik Boukhalfa) and PR1673 (Vlado Vojdanovski) ledger formulas. PR2168 / PR2184 (dataisfire): exact-integer coarse exponential and its one-site derivation. PR2309, PR2302 and PR2265 are the records exceeded. PR2286 (thakrarsagar) side-condition audit and philippeVV (PR1897 / PR2044 comments): the text defects (minimum-margin claim, xi aside, HALO K0^2 branch, p^10 umbrella, vacuous or-True guards, stale xi digits) corrected in outer/FINE-PADDING-COMPOSITION.md section 4, outer/check_ledger.py, outer/struct_check.py and outer/check_gaugefree.py. Jeremy Kothe (jeremykothe2), with AI assistance: change of the lender of alias 651 to 530 and dropping of alias 653, the exact owner fill for the new width inventory, the exact frame re-solve of both borrowed words and the exact kernel search and pricing, new work in this package (new/borrow/inputs/refit_43*.json, kernel_43*.json, new/borrow-fill/FILL.json.gz). PR1625 (mdumitrean): the helper-donor kernel shape reused here at pivots 518 and 506. PR2309 (Dugongue): concurrent independent work, a 44th dirty alias with owner repacking that also borrows from lender 530; the leader this package exceeds. PR2301 (navinor / Aaron Wang) and PR1959 (Josie Elliston): the unbound pooled-slot time field, bound in code/audit_allcold.py here. PR2315 (thakrarsagar): the audit finding that the private cleanup buffers must be charged. PR2309 (Dugongue): the private-stock accounting (physical stock, CLEAR charges, warp routing reserve, adapter bound, controls) ported here.