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38, 51, 52, 54, 69, 132, 140, 143, 157, 171, 186, 197, 205, 211, 215, 218, 222, 232, 236, 246, 258 ], "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": 26, "confidence": "upper_bound", "witness": [ 1, 20, 31, 35, 49, 63, 66, 74, 80, 92, 102, 106, 116, 123, 127, 131, 137, 154, 155, 163, 168, 172, 186, 191, 194, 207 ], "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_12 x Z_11 (n = 2lm = 264) with A = xy^4 + x^6y^6 + x^10y^5 + x^5y^7 and B = x^5y^5 + x^8y^9 + x^9y + x^6y^10, H_X = [A | B], H_Z = [B^T | A^T]; built by research/kit/bb.build_bb(l=12, m=11, A_terms=[[1, 4], [6, 6], [10, 5], [5, 7]], B_terms=[[5, 5], [8, 9], [9, 1], [6, 10]]).", "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": "2026-10-23", "notes": "Unattended loop run on Perlmutter, iteration 358, direction bb-w4-mid, seed 20261375. The loop gate's 8,000-trial search read d = 28; the deeper rungs recorded in notes/ read 26, and the document carries those witnesses.", "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" }