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search (gamma frontier): from Wills parent codes"],"discovery":"AI search","strongest_claim":"built from one of Wills's parent codes (weighted Reed-Muller, restricted-light or one-heavy) by searched punctures, paired-column contractions or logical-pair checks, in the pure-T distillation-exponent release (gamma = log(n/k)/log d, n < 1000); a verified witness, not a maximum -- only the release's own frontier points are the lowest gamma it knows","sources":[{"regime":"AI search (gamma frontier): from Wills parent codes","file":"gamma_frontier_release/protocols/wills_one_heavy_restricted_407_73_4.json","label":"wills_one_heavy_restricted_407_73_4","N":92,"d":4,"d_is_exact":true,"origin":"Wills-derived one-heavy parent restricted away from an affine four-flat, with searched graph punctures","provenance":"gamma frontier release record wills_one_heavy_restricted_407_73_4 (source catalogue id wills_one_heavy_restricted_407_73_4); construction: Wills-derived one-heavy parent restricted away from an affine four-flat, with searched graph punctures; matrix bf23c5e87ede940b...; the release states d=4 (exact), gamma=1.239530212693115 (exact)","notes":"matrix gamma_frontier_release/matrices/bf23c5e87ede940b8a82c81561660184b6690f62769aa8a6d6470e305f7c9c77.matrix"}]},"references":[{"key":"jain2026symmetry","short":"Jain et al. (2026)","full":"S. P. Jain, A. Wills, and S. Singh, \"Symmetry and AI-assisted discovery of magic-state factories,\" arXiv:2610.06535 (2026).","url":"https://arxiv.org/abs/2610.06535","date":"2026-10-05"}]}