{"abstract":"Status bits are retained in numerical PCM reconstruction.","category":"PCM sample encoding","checks":8,"contract":"Decode a stipulated slot: signed payload, one invalid bit, then even parity covering payload and invalid bit; invalid or corrupt samples return null plus status.","contract_signature":"slots, width","evaluation_group":"s3-pcm-pcm-slot-status","failed_approach":"Removing the top payload bit loses sample polarity.","family":"s3-pcm-pcm-slot-status-payload-mask","id":"FA-49161","implementations":{"attempt":{"sha256":"e3cbfd0dba708ec616646ced72b81776cb69f7c920260129d05a4d1937b85c0c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, width):\n    out=[]\n    mask=(1<<width)-1\n    for slot in slots:\n        payload=slot&(mask>>1)\n        valid=not bool(slot&(1<<width))\n        parity=(slot>>(width+1))&1\n        parity_ok=((bin(payload).count(\"1\")+int(not valid)+parity)%2)==0\n        sample=payload-(1<<width) if payload&(1<<(width-1)) else payload\n        out.append([sample if valid and parity_ok else None,valid,parity_ok])\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, 33, 16, 48], 4)), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\ncheck('oracle 2', solve(*([15, 47, 8, 40], 4)), [[-1, True, True], [None, True, False], [None, True, False], [-8, True, True]])\ncheck('oracle 3', solve(*([], 4)), [])\ncheck('oracle 4', solve(*([0, 1, 2, 3, 4, 5, 6, 7], 1)), [[0, True, True], [None, True, False], [None, False, False], [None, False, True], [None, True, False], [-1, True, True], [None, False, True], [None, False, False]])\ncheck('oracle 5', solve(*([7, 23, 8, 24], 3)), [[None, True, False], [-1, True, True], [None, False, False], [None, False, True]])\ncheck('oracle 6', solve(*([2, 3, 4, 5, 6], 4)), [[None, True, False], [3, True, True], [None, True, False], [5, True, True], [6, True, True]])\ncheck('oracle 7', solve(*([255, 767, 256, 768], 8)), [[-1, True, True], [None, True, False], [None, False, False], [None, False, True]])\nif N == 1: check('variant packet 1', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 2: check('variant packet 2', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 3: check('variant packet 3', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 4: check('variant packet 4', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 5: check('variant packet 5', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\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":"70aaae8076bda39d5d469d240a45673b927a1d8f0d5647677c07db351c33a850","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(slots, width):\n    out=[]\n    mask=(1<<width)-1\n    for slot in slots:\n        payload=slot\n        valid=not bool(slot&(1<<width))\n        parity=(slot>>(width+1))&1\n        parity_ok=((bin(payload).count(\"1\")+int(not valid)+parity)%2)==0\n        sample=payload-(1<<width) if payload&(1<<(width-1)) else payload\n        out.append([sample if valid and parity_ok else None,valid,parity_ok])\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, 33, 16, 48], 4)), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\ncheck('oracle 2', solve(*([15, 47, 8, 40], 4)), [[-1, True, True], [None, True, False], [None, True, False], [-8, True, True]])\ncheck('oracle 3', solve(*([], 4)), [])\ncheck('oracle 4', solve(*([0, 1, 2, 3, 4, 5, 6, 7], 1)), [[0, True, True], [None, True, False], [None, False, False], [None, False, True], [None, True, False], [-1, True, True], [None, False, True], [None, False, False]])\ncheck('oracle 5', solve(*([7, 23, 8, 24], 3)), [[None, True, False], [-1, True, True], [None, False, False], [None, False, True]])\ncheck('oracle 6', solve(*([2, 3, 4, 5, 6], 4)), [[None, True, False], [3, True, True], [None, True, False], [5, True, True], [6, True, True]])\ncheck('oracle 7', solve(*([255, 767, 256, 768], 8)), [[-1, True, True], [None, True, False], [None, False, False], [None, False, True]])\nif N == 1: check('variant packet 1', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 2: check('variant packet 2', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 3: check('variant packet 3', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 4: check('variant packet 4', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\nif N == 5: check('variant packet 5', solve(*[[0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48, 0, 1, 33, 16, 48], 4]), [[0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True], [0, True, True], [None, True, False], [1, True, True], [None, False, False], [None, False, True]])\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-slot-status-payload-mask","generated_at":"2026-09-29T14:44:57.290261+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":"Status bits are retained in numerical PCM reconstruction.","sha256":"82ebeab0089669c6381d2b9a969bc88c946989be4fd9edc59b3f6d8e5551dc42","title":"Pcm slot status: payload mask · 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":38.256,"exit_code":1,"observations":[{"actual":[[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true]],"check":"oracle 1","expected":[[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true]],"passed":true},{"actual":[[null,true,false],[7,true,true],[0,true,true],[null,true,false]],"check":"oracle 2","expected":[[-1,true,true],[null,true,false],[null,true,false],[-8,true,true]],"passed":false},{"actual":[],"check":"oracle 3","expected":[],"passed":true},{"actual":[[0,true,true],[0,true,true],[null,false,false],[null,false,false],[null,true,false],[null,true,false],[null,false,true],[null,false,true]],"check":"oracle 4","expected":[[0,true,true],[null,true,false],[null,false,false],[null,false,true],[null,true,false],[-1,true,true],[null,false,true],[null,false,false]],"passed":false},{"actual":[[3,true,true],[null,true,false],[null,false,false],[null,false,true]],"check":"oracle 5","expected":[[null,true,false],[-1,true,true],[null,false,false],[null,false,true]],"passed":false},{"actual":[[null,true,false],[3,true,true],[null,true,false],[5,true,true],[6,true,true]],"check":"oracle 6","expected":[[null,true,false],[3,true,true],[null,true,false],[5,true,true],[6,true,true]],"passed":true},{"actual":[[null,true,false],[127,true,true],[null,false,false],[null,false,true]],"check":"oracle 7","expected":[[-1,true,true],[null,true,false],[null,false,false],[null,false,true]],"passed":false},{"actual":[[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true],[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true]],"check":"variant packet 1","expected":[[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true],[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true]], \"expected\": [[0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true]], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[null, true, false], [7, true, true], [0, true, true], [null, true, false]], \"expected\": [[-1, true, true], [null, true, false], [null, true, false], [-8, true, true]], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[0, true, true], [0, true, true], [null, false, false], [null, false, false], [null, true, false], [null, true, false], [null, false, true], [null, false, true]], \"expected\": [[0, true, true], [null, true, false], [null, false, false], [null, false, true], [null, true, false], [-1, true, true], [null, false, true], [null, false, false]], \"passed\": false}, {\"check\": \"oracle 5\", \"actual\": [[3, true, true], [null, true, false], [null, false, false], [null, false, true]], \"expected\": [[null, true, false], [-1, true, true], [null, false, false], [null, false, true]], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[null, true, false], [3, true, true], [null, true, false], [5, true, true], [6, true, true]], \"expected\": [[null, true, false], [3, true, true], [null, true, false], [5, true, true], [6, true, true]], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[null, true, false], [127, true, true], [null, false, false], [null, false, true]], \"expected\": [[-1, true, true], [null, true, false], [null, false, false], [null, false, true]], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true], [0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true]], \"expected\": [[0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true], [0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true]], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":43.334,"exit_code":1,"observations":[{"actual":[[0,true,true],[null,true,false],[null,true,false],[null,false,true],[null,false,true]],"check":"oracle 1","expected":[[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true]],"passed":false},{"actual":[[-1,true,true],[31,true,true],[null,true,false],[null,true,false]],"check":"oracle 2","expected":[[-1,true,true],[null,true,false],[null,true,false],[-8,true,true]],"passed":false},{"actual":[],"check":"oracle 3","expected":[],"passed":true},{"actual":[[0,true,true],[null,true,false],[null,false,true],[null,false,false],[4,true,true],[null,true,false],[null,false,true],[null,false,false]],"check":"oracle 4","expected":[[0,true,true],[null,true,false],[null,false,false],[null,false,true],[null,true,false],[-1,true,true],[null,false,true],[null,false,false]],"passed":false},{"actual":[[null,true,false],[null,true,false],[null,false,true],[null,false,true]],"check":"oracle 5","expected":[[null,true,false],[-1,true,true],[null,false,false],[null,false,true]],"passed":false},{"actual":[[null,true,false],[3,true,true],[null,true,false],[5,true,true],[6,true,true]],"check":"oracle 6","expected":[[null,true,false],[3,true,true],[null,true,false],[5,true,true],[6,true,true]],"passed":true},{"actual":[[-1,true,true],[511,true,true],[null,false,true],[null,false,true]],"check":"oracle 7","expected":[[-1,true,true],[null,true,false],[null,false,false],[null,false,true]],"passed":false},{"actual":[[0,true,true],[null,true,false],[null,true,false],[null,false,true],[null,false,true],[0,true,true],[null,true,false],[null,true,false],[null,false,true],[null,false,true]],"check":"variant packet 1","expected":[[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true],[0,true,true],[null,true,false],[1,true,true],[null,false,false],[null,false,true]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[0, true, true], [null, true, false], [null, true, false], [null, false, true], [null, false, true]], \"expected\": [[0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true]], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[-1, true, true], [31, true, true], [null, true, false], [null, true, false]], \"expected\": [[-1, true, true], [null, true, false], [null, true, false], [-8, true, true]], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[0, true, true], [null, true, false], [null, false, true], [null, false, false], [4, true, true], [null, true, false], [null, false, true], [null, false, false]], \"expected\": [[0, true, true], [null, true, false], [null, false, false], [null, false, true], [null, true, false], [-1, true, true], [null, false, true], [null, false, false]], \"passed\": false}, {\"check\": \"oracle 5\", \"actual\": [[null, true, false], [null, true, false], [null, false, true], [null, false, true]], \"expected\": [[null, true, false], [-1, true, true], [null, false, false], [null, false, true]], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[null, true, false], [3, true, true], [null, true, false], [5, true, true], [6, true, true]], \"expected\": [[null, true, false], [3, true, true], [null, true, false], [5, true, true], [6, true, true]], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[-1, true, true], [511, true, true], [null, false, true], [null, false, true]], \"expected\": [[-1, true, true], [null, true, false], [null, false, false], [null, false, true]], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[0, true, true], [null, true, false], [null, true, false], [null, false, true], [null, false, true], [0, true, true], [null, true, false], [null, true, false], [null, false, true], [null, false, true]], \"expected\": [[0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true], [0, true, true], [null, true, false], [1, true, true], [null, false, false], [null, false, true]], \"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."}}