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Verified Lean 4 formalization and manuscript/report update for Distance and resistance on random series-parallel graphs: logarithmic speeds and near-critical asymptotics.
- Sole reference manuscript:
SeriesParallel.tex, retaining the author's AI contribution and Lean declarations and omitting code availability. - Updated source map: 137 active labels and 29 numbered theorem/proposition/lemma results. Theorem 1.3 is explicitly documented as joint coverage by the near-critical theorem and the admissible-halfline identity.
- All 80 project Lean files are unchanged from the previously audited proof sources. The two documented external mathematical inputs and auxiliary-coverage qualifications remain explicit.
- Fresh release checks:
lake buildpassed (8,733 jobs); reference LaTeX compilation, manuscript correspondence, lexical audit, and fingerprint checks passed. Existing axiom outputs were reused only after checking all Lean source hashes against the audited sources. - Environment: Lean 4.32.1, Lake 5.0.0, mathlib v4.32.1 at
520045ab14e26149ee970e2e617ca04b09bde5d6. - Reference manuscript SHA-256 (UTF-8, LF):
a5034c47dea2bbe6d47af58dea3154ea9a74db5d165bbd695d6f6fcd5955b677. - Public source distribution under Apache-2.0. Package and citation versions are 1.0.3.
Release verification and reproduction instructions.
This release supersedes v1.0.2 for the current manuscript and correspondence tables. The earlier tags and verification records remain unchanged.