{"abstract":"Serial PCM field bits are reconstructed least-significant-first.","category":"PCM sample encoding","checks":8,"contract":"Capture a stipulated I2S-like slot with one delay clock, MSB-first signed PCM payload and explicit trailing slot bits; reject incomplete slots.","contract_signature":"slots, payload_bits, slot_bits","evaluation_group":"s3-pcm-pcm-i2s-delayed-capture","failed_approach":"Weighting against slot width includes non-sample padding positions.","family":"s3-pcm-pcm-i2s-delayed-capture-serial-bit-significance","id":"FA-49976","implementations":{"attempt":{"sha256":"94bccc81bb79890405c02a611b2535d2a63f9e4d6463baf011c388934ca61776","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, payload_bits, slot_bits):\n    out=[]\n    for bits in slots:\n        field=bits[1:1+payload_bits]\n        if len(bits)<slot_bits or len(field)!=payload_bits:\n            out.append(None)\n            continue\n        code=sum(bit<<(slot_bits-1-i) for i,bit in enumerate(field))\n        sample=code-(1<<payload_bits) if field[0] else code\n        tail=bits[1+payload_bits:slot_bits]\n        out.append([sample,tail])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6)), [[-6, [0]], [7, [0]]])\ncheck('oracle 2', solve(*([[0, 0, 0, 1, 1]], 3, 5)), [[1, [1]]])\ncheck('oracle 3', solve(*([[1, 1, 1, 1]], 3, 5)), [None])\ncheck('oracle 4', solve(*([], 4, 6)), [])\ncheck('oracle 5', solve(*([[1, 0, 0, 0, 1, 1, 1]], 4, 6)), [[1, [1]]])\ncheck('oracle 6', solve(*([[0, 1, 0]], 1, 3)), [[-1, [0]]])\ncheck('oracle 7', solve(*([[0, 0, 1, 0, 0, 1]], 3, 5)), [[2, [0]]])\nif N == 1: check('variant packet 1', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 2: check('variant packet 2', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 3: check('variant packet 3', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 4: check('variant packet 4', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 5: check('variant packet 5', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"47a6d77f0b9eb2fbeff11ad722300640cf5247ee2e94c4bce66a7aa87eba271c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, payload_bits, slot_bits):\n    out=[]\n    for bits in slots:\n        field=bits[1:1+payload_bits]\n        if len(bits)<slot_bits or len(field)!=payload_bits:\n            out.append(None)\n            continue\n        code=sum(bit<<i for i,bit in enumerate(field))\n        sample=code-(1<<payload_bits) if field[0] else code\n        tail=bits[1+payload_bits:slot_bits]\n        out.append([sample,tail])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6)), [[-6, [0]], [7, [0]]])\ncheck('oracle 2', solve(*([[0, 0, 0, 1, 1]], 3, 5)), [[1, [1]]])\ncheck('oracle 3', solve(*([[1, 1, 1, 1]], 3, 5)), [None])\ncheck('oracle 4', solve(*([], 4, 6)), [])\ncheck('oracle 5', solve(*([[1, 0, 0, 0, 1, 1, 1]], 4, 6)), [[1, [1]]])\ncheck('oracle 6', solve(*([[0, 1, 0]], 1, 3)), [[-1, [0]]])\ncheck('oracle 7', solve(*([[0, 0, 1, 0, 0, 1]], 3, 5)), [[2, [0]]])\nif N == 1: check('variant packet 1', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 2: check('variant packet 2', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 3: check('variant packet 3', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 4: check('variant packet 4', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nif N == 5: check('variant packet 5', solve(*[[[0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0]], 4, 6]), [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]], [-6, [0]], [7, [0]]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Stipulated finite model; no claim of hardware timing or full file-format conformance. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"s3-pcm-pcm-i2s-delayed-capture-serial-bit-significance","generated_at":"2026-09-29T14:45:05.008563+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Offline PCM interchange uses these exact bounded packet and sample representation decisions.","root_cause":"Serial PCM field bits are reconstructed least-significant-first.","sha256":"875b918c594e485e1fff64be874c94b0910d8809754bb2f53b43ec258ab0d354","title":"Pcm i2s delayed capture: serial bit significance · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":38.99,"exit_code":1,"observations":[{"actual":[[24,[0]],[28,[0]]],"check":"oracle 1","expected":[[-6,[0]],[7,[0]]],"passed":false},{"actual":[[4,[1]]],"check":"oracle 2","expected":[[1,[1]]],"passed":false},{"actual":[null],"check":"oracle 3","expected":[null],"passed":true},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[[4,[1]]],"check":"oracle 5","expected":[[1,[1]]],"passed":false},{"actual":[[2,[0]]],"check":"oracle 6","expected":[[-1,[0]]],"passed":false},{"actual":[[8,[0]]],"check":"oracle 7","expected":[[2,[0]]],"passed":false},{"actual":[[24,[0]],[28,[0]],[24,[0]],[28,[0]]],"check":"variant packet 1","expected":[[-6,[0]],[7,[0]],[-6,[0]],[7,[0]]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[24, [0]], [28, [0]]], \"expected\": [[-6, [0]], [7, [0]]], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[4, [1]]], \"expected\": [[1, [1]]], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [null], \"expected\": [null], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[4, [1]]], \"expected\": [[1, [1]]], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[2, [0]]], \"expected\": [[-1, [0]]], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[8, [0]]], \"expected\": [[2, [0]]], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[24, [0]], [28, [0]], [24, [0]], [28, [0]]], \"expected\": [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":44.278,"exit_code":1,"observations":[{"actual":[[-11,[0]],[14,[0]]],"check":"oracle 1","expected":[[-6,[0]],[7,[0]]],"passed":false},{"actual":[[4,[1]]],"check":"oracle 2","expected":[[1,[1]]],"passed":false},{"actual":[null],"check":"oracle 3","expected":[null],"passed":true},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[[8,[1]]],"check":"oracle 5","expected":[[1,[1]]],"passed":false},{"actual":[[-1,[0]]],"check":"oracle 6","expected":[[-1,[0]]],"passed":true},{"actual":[[2,[0]]],"check":"oracle 7","expected":[[2,[0]]],"passed":true},{"actual":[[-11,[0]],[14,[0]],[-11,[0]],[14,[0]]],"check":"variant packet 1","expected":[[-6,[0]],[7,[0]],[-6,[0]],[7,[0]]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[-11, [0]], [14, [0]]], \"expected\": [[-6, [0]], [7, [0]]], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[4, [1]]], \"expected\": [[1, [1]]], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [null], \"expected\": [null], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[8, [1]]], \"expected\": [[1, [1]]], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[-1, [0]]], \"expected\": [[-1, [0]]], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[2, [0]]], \"expected\": [[2, [0]]], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[-11, [0]], [14, [0]], [-11, [0]], [14, [0]]], \"expected\": [[-6, [0]], [7, [0]], [-6, [0]], [7, [0]]], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}