{
 "schema_version": "0.1",
 "name": "local-sat 5x5 G=9 w6 t3 model 0",
 "code_type": "CSS",
 "n": 25,
 "k": 7,
 "checks": {
  "X": [
   [
    7,
    9,
    11,
    12,
    14,
    18
   ],
   [
    12,
    16,
    18,
    20,
    21,
    24
   ],
   [
    0,
    1,
    7,
    10,
    11,
    16
   ],
   [
    0,
    2,
    3,
    4,
    6,
    8
   ],
   [
    12,
    18,
    19,
    21,
    22,
    23
   ],
   [
    1,
    5,
    6,
    13,
    17,
    21
   ],
   [
    4,
    8,
    13,
    18,
    19,
    24
   ],
   [
    6,
    10,
    15,
    16,
    20,
    22
   ],
   [
    3,
    7,
    8,
    9,
    17,
    23
   ]
  ],
  "Z": [
   [
    5,
    10,
    11,
    12,
    15,
    21
   ],
   [
    2,
    7,
    8,
    16,
    18,
    22
   ],
   [
    4,
    8,
    9,
    12,
    19,
    24
   ],
   [
    0,
    1,
    3,
    5,
    7,
    11
   ],
   [
    15,
    17,
    20,
    21,
    23
   ],
   [
    9,
    18,
    23,
    24
   ],
   [
    1,
    2,
    4,
    7,
    9,
    13
   ],
   [
    6,
    7,
    8,
    10,
    13,
    14
   ],
   [
    0,
    5,
    6,
    15,
    16,
    20
   ]
  ]
 },
 "distance": {
  "d": 4,
  "X": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    1,
    7,
    14,
    22
   ]
  },
  "Z": {
   "value": 4,
   "confidence": "upper_bound",
   "witness": [
    13,
    14,
    18,
    21
   ]
  }
 },
 "provenance": {
  "authors": [
   "@vprusso"
  ],
  "construction": "SAT search (research/local_sat.py build_local_cnf, n_side=5, G=9, max_weight=6, t=3 detection, anchor radius 2.0, shared_t3 encoding, CaDiCaL 1.5.3 via python-sat) over 2D-local CSS codes on a 5x5 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 s5_G9_w6_t3. 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
   ],
   [
    3.0,
    0.0
   ],
   [
    4.0,
    0.0
   ],
   [
    0.0,
    1.0
   ],
   [
    1.0,
    1.0
   ],
   [
    2.0,
    1.0
   ],
   [
    3.0,
    1.0
   ],
   [
    4.0,
    1.0
   ],
   [
    0.0,
    2.0
   ],
   [
    1.0,
    2.0
   ],
   [
    2.0,
    2.0
   ],
   [
    3.0,
    2.0
   ],
   [
    4.0,
    2.0
   ],
   [
    0.0,
    3.0
   ],
   [
    1.0,
    3.0
   ],
   [
    2.0,
    3.0
   ],
   [
    3.0,
    3.0
   ],
   [
    4.0,
    3.0
   ],
   [
    0.0,
    4.0
   ],
   [
    1.0,
    4.0
   ],
   [
    2.0,
    4.0
   ],
   [
    3.0,
    4.0
   ],
   [
    4.0,
    4.0
   ]
  ],
  "interaction_radius": 4.0,
  "layers": 1
 }
}