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_claim":1.4304579457025914,"gamma_t_claim":null,"gamma_rho_claim":1.4304579457025914,"v_ex":43,"rate":0.20772946859903382,"t_count":null,"poly_degree":null,"effective_width":43},"provenance":{"regimes":["AI search (gamma frontier): contraction of an existing code"],"discovery":"AI search","strongest_claim":"a paired-column contraction of an existing triorthogonal code, 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): contraction of an existing code","file":"gamma_frontier_release/protocols/paired_column_contraction_209_43_3_f0366e01f70d.json","label":"paired_column_contraction_209_43_3_f0366e01f70d","N":54,"d":3,"d_is_exact":true,"origin":"Existing triorthogonal code with physical paired-column contraction","provenance":"gamma frontier release record paired_column_contraction_209_43_3_f0366e01f70d (source catalogue id paired_column_contraction_209_43_3_f0366e01f70d); construction: Existing triorthogonal code with physical paired-column contraction; matrix f0366e01f70d57e9...; the release states d=3 (exact), gamma=1.4392103133928338 (exact); the release matrix has 209 columns of which 2 are a repeated pair -- equal columns cancel to a diagonal Clifford and deposit nothing, so they are deleted here and this circuit is the reduced one, with 207 injections for the same gate and distance","notes":"matrix gamma_frontier_release/matrices/f0366e01f70d57e99b3423bf92da88dab5aee703589ce8c965d5d2ae6ebd0b2b.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"}]}