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 "provenance": {
  "authors": [
   "@mathysrennela"
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  "construction": "lifted product over Z_6 x S_3 from GFlowQEC (arXiv:2611.06819v1), tuple [24, 5, 28, 14, 18, 24, 6, 34, 5, 19]",
  "origin": "submission",
  "date": "2026-11-05",
  "model": "Beam 1.0",
  "notes": " Circuit fault distance corrected on 2026-11-06 by @vprusso: the Z-memory circuit has an undetected logical fault set of weight 7 in its committed detector error model (claimed 10), with a proved lower bound of 7. Found by tropidist (arXiv:2611.08247) and re-verified in the committed detector error model (record circuit_distance_bounds-2026-11-06.json)."
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     91904,
     91906,
     91917,
     91919
    ]
   }
  },
  "rounds": 10,
  "stim_version": "1.16.0",
  "notes": "Generic sequential two-block extraction: one ancilla per check, X checks then Z checks each round with joint reset and measurement layers; CX layers are a proper edge coloring of each Tanner graph (11 X + 11 Z CX layers per round, coloring candidate 0); generated by qldpc submit (research/circuit_autogen.py, seed 0), the first of up to 6 candidates whose RIS screen at 2 rounds found nothing below d; witnesses from RIS on ker(H_dem) at twice the gate's trial budget, validated in GF(2)"
 }
}