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"2026-09-25", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "verify/ris_gpu.py recover mode, pair depth 0 (GPU RIS, CPU re-verified)", "seeds": [ 4102 ] } }, "Z": { "value": 45, "confidence": "upper_bound", "witness": [ 9, 12, 15, 27, 30, 33, 46, 49, 52, 63, 66, 69, 74, 77, 80, 81, 84, 87, 99, 100, 102, 103, 105, 106, 108, 111, 114, 145, 148, 151, 155, 158, 161, 163, 164, 166, 167, 169, 170, 235, 238, 241, 353, 356, 359 ], "witness_provenance": { "found_by": [ "@vprusso" ], "date": "2026-09-21", "found_at_samples": 300000000, "survived_samples": 300000000, "tool": "ris_gpu", "seeds": [ 2031 ] } } }, "provenance": { "authors": [ "@mathysrennela" ], "construction": "Bivariate bicycle on Z_20 x Z_9; A has 14 terms and B has 15 terms; exact supports are in the submitted JSON.", "origin": "submission", "date": "2026-08-18", "model": "GPT-5.6 Luna" }, "family": "bivariate-bicycle" }