#81: add Paper II preprint + audits - #4
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Update Problem 81 public release package
…ution Remove obsolete Problem 81 root materials
Fix Problem 81 README links and manifest checksums
Restructure Problem 81 official Paper I materials
…fest Update Problem 81 DOI and license metadata
…6-07-10) Independent external audit of Theorem 1.1 (Affine Profile Reduction for Fractional Triangle Packings in Split Graphs): |E(G)| - 2*nu3*(G) <= n^2/6 + n. Verdict: PASS (intermediate AI-assurance tier; not human peer review). Gates A-J verified with no counterexample, circularity, or over-claim: - Gate E: 9/9 ledger algebraic identities exact (sympy). - Gates B/C: orbit LP = closed form (0/660); full C(p,2)-var residual-cover LP = 3-orbit LP (0/280, err 5e-15, orbit symmetrization lossless); affine reduction + uniform bound R(p,q)-p/2 (0/400 mixed profiles). - Gate F: 622 split graphs, 0 theorem violations; extremal K_p v Kbar_2p attains n^2/6 + n/6 exactly. - Gate H: independent Lean rebuild (fresh tree, community Mathlib cache) -> Build completed successfully (8027 jobs); paperI_main and residual_duality axioms [propext, Classical.choice, Quot.sound], no sorryAx; source SHA-256 matches 04_integrity/SHA256SUMS.txt; statement = Theorem 1.1. Package: FINAL_AUDIT_REPORT (md/pdf), ENVIRONMENT, README, SHA256_MANIFEST, and four self-contained script folders (script + results.txt + report.pdf + zip + sha256). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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Adds Paper II (chordal fractional-cover extremum, Lean-verified, independent audit PASS) to the #81 folder; standardizes Paper I. Does not resolve Erdős #81.