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56, 60, 62, 79, 83, 85, 95, 105, 110, 114, 130, 131, 141, 165, 170, 171, 198, 223, 262 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-10-30", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "verify/ris_gpu.py (Perlmutter A100)", "seeds": [ 1 ] } }, "Z": { "value": 25, "confidence": "upper_bound", "witness": [ 12, 29, 53, 63, 66, 96, 98, 108, 112, 135, 140, 141, 151, 159, 163, 172, 174, 192, 195, 196, 213, 219, 234, 258, 263 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-10-30", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "verify/ris_gpu.py (Perlmutter A100)", "seeds": [ 1 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Bivariate bicycle on Z_11 x Z_12 (n = 2lm = 264) with A = xy^5 + x^6y^8 + x^7 + x^10y^5 and B = x^3y^4 + xy^5 + x^9y^2 + x^10y^11, H_X = [A | B], H_Z = [B^T | A^T]; built by research/kit/bb.build_bb(l=11, m=12, A_terms=[[1, 5], [6, 8], [7, 0], [10, 5]], B_terms=[[3, 4], [1, 5], [9, 2], [10, 11]]).", "references": [ "S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, High-threshold and low-overhead fault-tolerant quantum memory, Nature 627, 778 (2024), arXiv:2308.07915" ], "date": "2026-10-22", "notes": "Unattended loop run on Perlmutter, iteration 213, direction bb-w4-mid, seed 20261230. The deeper rungs recorded in notes/ agree with the gate's reading of d = 25.", "model": "Claude Fable 5.1 (Claude Code) working for @vprusso", "origin": "submission", "search_budget": { "candidates_screened": 106817, "tool": "research/kit/search.screen_adaptive; verify/heuristic_distance.estimate; verify/ris_gpu.py", "notes": "candidates_screened counts direction bb-w4-mid of the loop through 29 October; the loop's 390.6 CPU hours cover all five directions", "gpu_hours": 0.34, "ris_trials_per_side": 300000000 } }, "family": "bivariate-bicycle" }