{
 "schema_version": "0.2",
 "name": "priced-calculus-79-44-4",
 "code_type": "CSS",
 "n": 79,
 "k": 44,
 "checks": {
  "X": [
   [
    5,
    16,
    25,
    26,
    28,
    30,
    31,
    42,
    55,
    63,
    68,
    69,
    72
   ],
   [
    1,
    12,
    13,
    16,
    27,
    31,
    33,
    37,
    45,
    54,
    60,
    63,
    66,
    76
   ],
   [
    0,
    2,
    11,
    13,
    32,
    35,
    39,
    40,
    43,
    49,
    50,
    63,
    64,
    75,
    77
   ],
   [
    1,
    14,
    17,
    19,
    26,
    34,
    35,
    43,
    46,
    48,
    58,
    62,
    69,
    70,
    71,
    75
   ],
   [
    0,
    2,
    6,
    15,
    16,
    18,
    27,
    29,
    33,
    56,
    59,
    68,
    71,
    78
   ],
   [
    3,
    4,
    15,
    16,
    19,
    20,
    29,
    35,
    36,
    37,
    39,
    40,
    45,
    62,
    64,
    68,
    72
   ],
   [
    1,
    3,
    9,
    22,
    25,
    32,
    46,
    47,
    49,
    57,
    59,
    67,
    70,
    72
   ],
   [
    5,
    6,
    20,
    22,
    25,
    33,
    34,
    42,
    44,
    49,
    51,
    53,
    64,
    65,
    68,
    76
   ],
   [
    2,
    7,
    12,
    17,
    19,
    21,
    25,
    39,
    40,
    46,
    48,
    58,
    67,
    71,
    76
   ],
   [
    3,
    5,
    9,
    10,
    24,
    26,
    35,
    38,
    48,
    52,
    55,
    56,
    66,
    69,
    73,
    76
   ],
   [
    0,
    4,
    19,
    20,
    22,
    23,
    24,
    28,
    38,
    40,
    42,
    43,
    50,
    69,
    74,
    77
   ],
   [
    2,
    3,
    6,
    7,
    12,
    14,
    28,
    30,
    31,
    34,
    40,
    41,
    48,
    52,
    55,
    56,
    75,
    77
   ],
   [
    10,
    12,
    16,
    17,
    19,
    27,
    28,
    36,
    42,
    44,
    51,
    55,
    61,
    72,
    76,
    78
   ],
   [
    8,
    10,
    14,
    16,
    31,
    36,
    41,
    43,
    45,
    57,
    61,
    65,
    66,
    74,
    77,
    78
   ],
   [
    4,
    8,
    11,
    13,
    14,
    15,
    18,
    24,
    29,
    37,
    38,
    51,
    52,
    59,
    60,
    62,
    66,
    74
   ],
   [
    3,
    7,
    11,
    16,
    29,
    32,
    35,
    41,
    46,
    47,
    56,
    61,
    64,
    66,
    70,
    71,
    74
   ],
   [
    0,
    7,
    8,
    11,
    17,
    18,
    21,
    23,
    24,
    31,
    33,
    49,
    56,
    58,
    63,
    72,
    74
   ]
  ],
  "Z": [
   [
    8,
    15,
    20,
    26,
    32,
    34,
    57,
    58,
    69,
    71,
    75
   ],
   [
    0,
    1,
    5,
    6,
    19,
    34,
    36,
    39,
    45,
    46,
    49,
    64,
    68,
    70,
    71,
    73
   ],
   [
    2,
    12,
    15,
    27,
    29,
    31,
    34,
    36,
    44,
    53,
    54,
    56,
    68,
    73,
    75
   ],
   [
    2,
    6,
    13,
    14,
    16,
    25,
    28,
    29,
    42,
    48,
    51,
    52,
    54,
    60,
    67
   ],
   [
    5,
    8,
    10,
    18,
    26,
    33,
    37,
    40,
    44,
    46,
    50,
    53,
    56,
    59
   ],
   [
    0,
    2,
    4,
    17,
    18,
    22,
    26,
    27,
    46,
    54,
    55,
    60,
    65,
    66,
    67,
    69,
    72
   ],
   [
    2,
    9,
    11,
    15,
    18,
    21,
    24,
    29,
    33,
    40,
    55,
    65,
    66,
    71,
    72,
    75
   ],
   [
    19,
    21,
    35,
    41,
    43,
    44,
    49,
    51,
    58,
    61,
    65,
    67,
    73,
    74,
    77
   ],
   [
    3,
    4,
    10,
    11,
    13,
    17,
    18,
    22,
    30,
    32,
    49,
    51,
    52,
    54,
    55,
    65,
    71
   ],
   [
    2,
    5,
    7,
    8,
    12,
    15,
    18,
    24,
    31,
    34,
    35,
    46,
    47,
    48,
    59,
    61,
    67,
    74
   ],
   [
    7,
    9,
    19,
    25,
    28,
    30,
    31,
    35,
    45,
    48,
    51,
    57,
    61,
    62,
    70,
    73,
    75
   ],
   [
    0,
    11,
    13,
    18,
    22,
    23,
    34,
    35,
    39,
    43,
    50,
    55,
    57,
    63,
    71,
    74,
    78
   ],
   [
    12,
    17,
    18,
    22,
    24,
    34,
    39,
    40,
    47,
    49,
    63,
    64,
    72,
    73,
    77,
    78
   ],
   [
    3,
    7,
    9,
    16,
    17,
    27,
    35,
    36,
    37,
    43,
    45,
    60,
    62,
    63,
    64,
    65,
    73,
    74
   ],
   [
    4,
    24,
    25,
    31,
    38,
    45,
    48,
    49,
    50,
    59,
    62,
    65,
    68,
    69,
    70,
    74
   ],
   [
    3,
    14,
    15,
    16,
    28,
    34,
    36,
    42,
    45,
    46,
    49,
    54,
    57,
    60,
    61,
    62,
    63,
    76
   ],
   [
    1,
    4,
    5,
    8,
    10,
    13,
    28,
    47,
    50,
    55,
    56,
    57,
    58,
    62,
    64,
    71,
    72,
    77
   ],
   [
    0,
    1,
    6,
    11,
    20,
    24,
    31,
    41,
    42,
    48,
    51,
    52,
    55,
    65,
    67,
    68,
    78
   ]
  ]
 },
 "distance": {
  "d": 4,
  "X": {
   "value": 5,
   "confidence": "upper_bound",
   "witness": [
    7,
    9,
    33,
    38,
    59
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-01",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     0
    ]
   }
  },
  "Z": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    5,
    12,
    30,
    76
   ],
   "witness_provenance": {
    "found_by": [
     "@mathys"
    ],
    "date": "2026-11-01",
    "found_at_samples": 1000,
    "survived_samples": 1000,
    "tool": "research/kit/surrogate.lightest_logical",
    "seeds": [
     1
    ]
   }
  }
 },
 "provenance": {
  "authors": [
   "@mathysrennela"
  ],
  "construction": "priced calculus E-PEEL transform of codes/80-44-5.json",
  "references": [],
  "date": "2026-11-01",
  "notes": "",
  "model": "Beam 1.0"
 }
}
