{"abstract":"Volume scaling is used for surface area.","category":"Solid geometry","checks":4,"contract":"Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. Sphere surface divided by pi. Exact operational definition: 4*r*r","contract_signature":"r","evaluation_group":"model-7cdb38885cd78ed5","failed_approach":"A disk area replaces the entire sphere surface.","family":"xn-sphere-surface-divided-by-pi","id":"FA-5916","implementations":{"attempt":{"sha256":"d1b40028c558763da5c3d33d58f4c41d1a42f2a9720b1a9619fbea38b7745d8e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r):\n    return r*r\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (0,)', solve(*(0,)), 0)\ncheck('fixture 2: (1,)', solve(*(1,)), 4)\ncheck('fixture 3: (3,)', solve(*(3,)), 36)\ncheck('fixture 4: (5,)', solve(*(5,)), 100)\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":"e415efa12383a517e34d31c70cb8ba64a5745ad70cb03e3d31d4426125d3b24c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r):\n    return 4*r**3/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (0,)', solve(*(0,)), 0)\ncheck('fixture 2: (1,)', solve(*(1,)), 4)\ncheck('fixture 3: (3,)', solve(*(3,)), 36)\ncheck('fixture 4: (5,)', solve(*(5,)), 100)\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":" 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":"xn-sphere-surface-divided-by-pi","generated_at":"2026-09-29T14:37:55.365151+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.","root_cause":"Volume scaling is used for surface area.","sha256":"ecc46bc8ba9dcc6175eb6b1efc163109d28d7dfae134188d88bdf865d8b439d4","title":"Sphere surface divided by pi · 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":52.442,"exit_code":1,"observations":[{"actual":0,"check":"fixture 1: (0,)","expected":0,"passed":true},{"actual":1,"check":"fixture 2: (1,)","expected":4,"passed":false},{"actual":9,"check":"fixture 3: (3,)","expected":36,"passed":false},{"actual":25,"check":"fixture 4: (5,)","expected":100,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (0,)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 2: (1,)\", \"actual\": 1, \"expected\": 4, \"passed\": false}, {\"check\": \"fixture 3: (3,)\", \"actual\": 9, \"expected\": 36, \"passed\": false}, {\"check\": \"fixture 4: (5,)\", \"actual\": 25, \"expected\": 100, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":58.776,"exit_code":1,"observations":[{"actual":0.0,"check":"fixture 1: (0,)","expected":0,"passed":true},{"actual":1.3333333333333333,"check":"fixture 2: (1,)","expected":4,"passed":false},{"actual":36.0,"check":"fixture 3: (3,)","expected":36,"passed":true},{"actual":166.66666666666666,"check":"fixture 4: (5,)","expected":100,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (0,)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 2: (1,)\", \"actual\": 1.3333333333333333, \"expected\": 4, \"passed\": false}, {\"check\": \"fixture 3: (3,)\", \"actual\": 36.0, \"expected\": 36, \"passed\": true}, {\"check\": \"fixture 4: (5,)\", \"actual\": 166.66666666666666, \"expected\": 100, \"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."}}