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Publication history: 2026-08-31

Original publication entries retain their wording and recorded status. Follow the current research history for later findings and revisions.

11 / 56 days

31 Aug 2026

1 update
  1. Seam & QGEOCXLIX
    (Monday-morning harvest — axiom-core closure + state/gap batteries graduate as v1015–v1016; suite 1007 \to 1009, ledger 1173 no new rows, existing contract rows updated, NO status-marker upgrades; Python-only / Wolfram mirror deferred as for v974–v1014, engine still DEFERRED_NO_ENGINE). (1) v1015_ axiom_ core_ closure.py (11/11)

    Summary

    Character-blind P-dem response DERIVED — r=(1,1,1) exactly at collar sizes 12 and 16, democracy residual 0; mutants split (1,0,0) and (5/4,1,5/4). Together with P-anch (v1014) BOTH W-bridge premises are derived at finite level; the axiom-core remainder is ZERO modulo the externalized MMST identification. AX.P2.01 stays an axiom (finite shadows; continuum identification is the same external leg). T1 note on TFPT.TOE.COMPLETE.01: the structure-postulate route is now fully premise-supported at finite level. (2) v1016_ state_ gap_ batteries.py (31/31): R_4 seam-modular cap is the unique finite-level non-entropic selector (D_{\mathrm{tr}}=0.1434, SK RMS 3.038{\times}10^{-3}, 3\pi/5 saddle preserved; finite-proxy caveat; FTRANSFER.SK.RHO0.01 stays [O]). TEL-B certified-tail BLOCKED (N^2 D_N 530\to19032, UV-supported remainder); strictly smaller external target A_R<43 with factor-\sim350 measured headroom; N-uniform CAR nuclearity PROVED (C_\beta=(67.97,29.73,12.15)) as ALG specialist input; ALG-EXH unchanged (SEAM.MMST.TYPEIII.CHARGED.01 stays [O]). DFP volume-uniform gap cited-verified for \mathbb Z_2/\mathbb Z_4 open chains (a=0.0233, a/16=0.00146); dynamical-link leg closed at that level; remaining rotor/wall/3{+}1D (CHIRAL4D.MIRROR.DET16.01 stays [C]). Surfaces: tfpt_research_contracts executed-update paragraphs (five items + L1 nuclearity note); tfpt_4_frontier + introduction Monday-morning note; MMST handoff HTML update-2026-08-31 block; website papers.ts / VerificationDag.