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On 6 October 2026 OpenAI released 722 manuscripts produced by an unreleased internal model (github.com/openai/math). Two of the result families bear directly on this repository. Family 215 claims a proof of the exact low-temperature mass gap of the two-dimensional O(4) lattice model, mlat(β)∼32eπ/4−1/2β−−√e−πβ , the standard toy model for asymptotic freedom and dynamical mass generation in QCD. Family 271 claims a proof of Bloch’s T3/2 law with its exact coefficient for the 3D quantum Heisenberg ferromagnet, together with its first lattice correction. Neither result has a Lean formalization of these specific statements, and neither has been refereed. This document benchmarks both claims numerically in R. The benchmarks test what can be tested at finite size and finite temperature. Neither benchmark proves the theorems.