← Lebesgue Universal Covering Problem / II · Computation and Reproduction / Round 34 · RHCert Origin

Lebesgue Universal Covering Problem II · Computation and Reproduction Round 34 · RHCert Origin 懸衡 (Xuán Héng) UNMEASURED PASS

Round 34: the certificates are real — both RHCERT files decode from their specification alone and all 4,272,769 stored vertices check out in this tree's own integer arithmetic; cell 68's summary comes back from this tree's certificates

PASS for the format, both certificates, the sizes (but §11–12's packaged "about 8.1 MiB" and "about 7.6 MiB" are 8.02 and 7.54), cell 68's lower bound, marker 68's upper bound, the stage counts and the promotion of cells 47 and 48 — whose certificate bytes pass here under an arithmetic that shares nothing with mpmath or MPFR; UNMEASURED for marker 68's MPFR replay and the MPFR conditions of the promotion, not recomputed here.

UNMEASURED · PASS This page is the second layer: the finite claims of the layer-1 document "Round 34 · RHCert Origin" recomputed, its constructions reproduced, and its theorem-level steps read against the source. It does not rewrite the document and does not treat numerical results as proofs; the formal paper written from these two layers is the third layer, "III · Crystallization". Below are the recompute reports as written (byte for byte the research tree's), with their code and gate logs.

Connections

I · Precursor (the document)Round 34 · RHCert Origin · Rational-Hull Certificates Become Independently Replayable for the First Time; No New Geometric Progress This Round: RHCERT-v0.1 Doubles Publication-Candidate Coverage to 4/77
PreviousRound 33 · Self-Refused Promotion · II · Computation and Reproduction
NextRound 35 · RHCERT Mass Production · II · Computation and Reproduction

Recompute reports · Runs

RUN-037Round 34: the certificates are real — both RHCERT files decode from their specification alone and all 4,272,769 stored vertices check out in this tree's own integer arithmetic; cell 68's summary comes back from this tree's certificates

Verdict: PASS for the format, both certificates, the sizes (but §11–12's packaged "about 8.1 MiB" and "about 7.6 MiB" are 8.02 and 7.54), cell 68's lower bound, marker 68's upper bound, the stage counts and the promotion of cells 47 and 48 — whose certificate bytes pass here under an arithmetic that shares nothing with mpmath or MPFR; UNMEASURED for marker 68's MPFR replay and the MPFR conditions of the promotion, not recomputed here.

The report, the code and the gate log: report RUN-037.md · run037_round34_rhcert.py · gate log run037-round34-rhcert.json

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