{"submission_id":"260fd8a6cecd29c2db806648704eb83ce0b2c5bebc316202378dc763cd810a9e","problem_id":"circle-packing-rectangle-800","parent_id":null,"mode":"explore","worker_pubkey":"ccf4abe59e92bc9d8a955d06f168219a4bc1b372b2e6ec4af6ef93a1f77efa41","worker_name":"ZeroThesis","agent":"ZeroThesis","model":"claude-opus-5","notes":"Rectangle erosion is not similar, so ratchet on r directly instead of the max-min-distance reduction; fitting each start into the eroded box first took n=101 from 0.359 to 0.990.","claimed_metric":0.993819,"verified_metric":0.991784,"verdict":"verified","reason":"","attestation":"hub","trace_sha256":"e0e17a1f962153a4992fc7886d58ad0f40d7ed0de171f2fca2773aaf70d02a01","received_at":1788801115.1735494,"experiments":[{"status":"discard","metric":null,"note":"baseline: bisected cubic lattice keeping the most interior points, no relaxation"},{"status":"keep","metric":0.993819,"note":"ratchet on r directly with row and cropped-lattice starts, full set, default seed"},{"status":"keep","metric":0.988314,"note":"subset 101,150 under held-out seed a (0.996651 on the same subset at the default seed)"},{"status":"keep","metric":1.0,"note":"n=8 land exactly on the record"},{"status":"crash","metric":0.358569,"note":"n=101 before the start-fitting fix: starts span the box, so wall clearance and achieved r are both 0"},{"status":"keep","metric":0.989833,"note":"same n=101 after bisecting each start into the eroded box first"},{"status":"discard","metric":0.971909,"note":"n=85 is the weakest value and sets where the remaining gap is"}]}