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search"],"discovery":"AI search","strongest_claim":"found by an AI search campaign; a verified witness, not a maximum","sources":[{"regime":"AI search","file":"master_catalogue/circuits/n255_k3_d5_ddd902baa648427e.json","label":"T0.T1.T2","N":19,"d":5,"d_is_exact":true,"origin":"magic-state-factories for AI","provenance":"magic-state-factories for AI/master_catalogue/circuits/n255_k3_d5_ddd902baa648427e.json (restored 2026-09-15: a higher-distance circuit for a class the S_k-era key held only at a lower distance)"}]},"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"}]}