{
 "schema_version": "0.1",
 "name": "local-sat 6x6 G=11 w6 t2 model 0",
 "code_type": "CSS",
 "n": 36,
 "k": 14,
 "checks": {
  "X": [
   [
    5,
    10,
    15,
    16,
    23,
    29
   ],
   [
    2,
    4,
    9,
    11,
    14,
    16
   ],
   [
    15,
    22,
    26,
    29,
    32,
    34
   ],
   [
    6,
    7,
    8,
    12,
    13,
    18
   ],
   [
    14,
    19,
    20,
    21,
    23,
    28
   ],
   [
    11,
    17,
    22,
    23,
    28,
    35
   ],
   [
    1,
    3,
    5,
    8,
    9,
    15
   ],
   [
    21,
    27,
    31,
    33,
    34,
    35
   ],
   [
    13,
    20,
    24,
    27,
    30,
    32
   ],
   [
    0,
    1,
    2,
    7,
    12,
    13
   ],
   [
    12,
    18,
    25,
    30,
    31
   ]
  ],
  "Z": [
   [
    5,
    11,
    15,
    16,
    17,
    29
   ],
   [
    0,
    1,
    7,
    8,
    12,
    18
   ],
   [
    7,
    12,
    20,
    21,
    24,
    31
   ],
   [
    6,
    12,
    13,
    18,
    25,
    30
   ],
   [
    1,
    2,
    6,
    8,
    14,
    19
   ],
   [
    4,
    10,
    11,
    14,
    16,
    28
   ],
   [
    9,
    11,
    15,
    22,
    23,
    28
   ],
   [
    26,
    27,
    30,
    31,
    33,
    34
   ],
   [
    1,
    2,
    3,
    5,
    9,
    10
   ],
   [
    24,
    25,
    26,
    31,
    32,
    33
   ],
   [
    21,
    23,
    29,
    33,
    34,
    35
   ]
  ]
 },
 "distance": {
  "d": 3,
  "X": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    21,
    31,
    33
   ]
  },
  "Z": {
   "value": 3,
   "confidence": "upper_bound",
   "witness": [
    0,
    12,
    18
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "SAT search (research/local_sat.py build_local_cnf, n_side=6, G=11, max_weight=6, t=2 detection, anchor radius 2.0, shared_t3 encoding, CaDiCaL 1.5.3 via python-sat) over 2D-local CSS codes on a 6x6 grid; each check is anchored at a grid site and acts within radius 2.0 of it, so the interaction radius is at most 4.0 by construction. Model index 0 of the enumeration; distance is a witness-backed upper bound.",
  "references": [],
  "date": "2026-09-24",
  "model": "Claude Fable 5.1 (Claude Code)",
  "notes": "Phase 0 triage of the 2D-local SAT t=2+ campaign (issue #2024); instance s6_G11_w6_t2. Distance is an upper bound from the kit's RIS witness search at 20000 trials per side."
 },
 "family": "local-sat-css",
 "locality": {
  "coordinates": [
   [
    0.0,
    0.0
   ],
   [
    1.0,
    0.0
   ],
   [
    2.0,
    0.0
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   [
    3.0,
    0.0
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   [
    4.0,
    0.0
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   [
    5.0,
    0.0
   ],
   [
    0.0,
    1.0
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   [
    1.0,
    1.0
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   [
    2.0,
    1.0
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   [
    3.0,
    1.0
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   [
    4.0,
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   [
    5.0,
    1.0
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   [
    0.0,
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   [
    1.0,
    2.0
   ],
   [
    2.0,
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   [
    3.0,
    2.0
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   [
    4.0,
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   [
    5.0,
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   [
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   [
    1.0,
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   [
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   [
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   [
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  ],
  "interaction_radius": 4.0,
  "layers": 1
 }
}