{
  "status": "passed",
  "checks": {
    "fresh_merkle_source_and_all_twelve_primitive_labels": true,
    "source_subdivision_boundaries_reproduce_all_four_face_loops": true,
    "boundary_of_boundary_and_gauge_kernel_exact": true,
    "twelve_unit_occurrences_retained_despite_six_antisymmetric_field_coordinates": true,
    "proper_remote_geometry_change_preserves_complete_anchor_face_geometry": true,
    "positive_face_metric_derived_from_actual_face_areas": true,
    "full_and_environment_schur_reconstruction_agree_at_all_four_probes": true,
    "source_metric_full_anchored_packet_is_shielded_not_merely_a_scalar_readout": true,
    "whole_configuration_resolvent_changes_despite_shielded_anchor": true,
    "unequal_incident_metric_control_restores_remote_sensitivity": true,
    "all_closure_and_gauge_records_retained_without_a_mass_offset": true
  },
  "scientific_disposition": "The preregistered universal-sensitivity conjecture is falsified in the source face-metric branch. The entire AB packet is protected by equal incident weights. Global resolvents still differ with rank two; a declared unequal-weight control exposes remote sensitivity.",
  "four_roles": {
    "primitive": "Twelve distinct unit occurrences, not six mass units after cochain antisymmetry.",
    "configuration": "Source geometry, source boundary chains, all face metrics and full edge operator.",
    "anchored_local": "Complete AB row and clamped response. They stay fixed through the hinge.",
    "anchored_collective": "Entire six-coordinate response, all twelve readouts, all curvatures, Schur complement and full configuration resolvent."
  },
  "source_coefficient_transfers_verified": 1836,
  "primitive_registry": [
    {
      "label": "AB",
      "tail": "A",
      "head": "B",
      "weight": "1",
      "source_triangle": [
        "F_ABC",
        "A",
        "B"
      ],
      "reverse_occurrence": "BA"
    },
    {
      "label": "AC",
      "tail": "A",
      "head": "C",
      "weight": "1",
      "source_triangle": [
        "F_ACD",
        "A",
        "C"
      ],
      "reverse_occurrence": "CA"
    },
    {
      "label": "AD",
      "tail": "A",
      "head": "D",
      "weight": "1",
      "source_triangle": [
        "F_ABD",
        "A",
        "D"
      ],
      "reverse_occurrence": "DA"
    },
    {
      "label": "BA",
      "tail": "B",
      "head": "A",
      "weight": "1",
      "source_triangle": [
        "F_ABD",
        "B",
        "A"
      ],
      "reverse_occurrence": "AB"
    },
    {
      "label": "BC",
      "tail": "B",
      "head": "C",
      "weight": "1",
      "source_triangle": [
        "F_ABC",
        "B",
        "C"
      ],
      "reverse_occurrence": "CB"
    },
    {
      "label": "BD",
      "tail": "B",
      "head": "D",
      "weight": "1",
      "source_triangle": [
        "F_BCD",
        "B",
        "D"
      ],
      "reverse_occurrence": "DB"
    },
    {
      "label": "CA",
      "tail": "C",
      "head": "A",
      "weight": "1",
      "source_triangle": [
        "F_ABC",
        "C",
        "A"
      ],
      "reverse_occurrence": "AC"
    },
    {
      "label": "CB",
      "tail": "C",
      "head": "B",
      "weight": "1",
      "source_triangle": [
        "F_BCD",
        "C",
        "B"
      ],
      "reverse_occurrence": "BC"
    },
    {
      "label": "CD",
      "tail": "C",
      "head": "D",
      "weight": "1",
      "source_triangle": [
        "F_ACD",
        "C",
        "D"
      ],
      "reverse_occurrence": "DC"
    },
    {
      "label": "DA",
      "tail": "D",
      "head": "A",
      "weight": "1",
      "source_triangle": [
        "F_ACD",
        "D",
        "A"
      ],
      "reverse_occurrence": "AD"
    },
    {
      "label": "DB",
      "tail": "D",
      "head": "B",
      "weight": "1",
      "source_triangle": [
        "F_ABD",
        "D",
        "B"
      ],
      "reverse_occurrence": "BD"
    },
    {
      "label": "DC",
      "tail": "D",
      "head": "C",
      "weight": "1",
      "source_triangle": [
        "F_BCD",
        "D",
        "C"
      ],
      "reverse_occurrence": "CD"
    }
  ],
  "field_coordinate_order": [
    "AB",
    "AC",
    "AD",
    "BC",
    "BD",
    "CD"
  ],
  "face_order": [
    "ABC",
    "ABD",
    "ACD",
    "BCD"
  ],
  "source_boundary_chains": {
    "ABC": {
      "source_triangles": [
        [
          "F_ABC",
          "A",
          "B"
        ],
        [
          "F_ABC",
          "B",
          "C"
        ],
        [
          "F_ABC",
          "C",
          "A"
        ]
      ],
      "whole_face_boundary": {
        "AB": "1",
        "BC": "1",
        "AC": "-1"
      }
    },
    "ABD": {
      "source_triangles": [
        [
          "F_ABD",
          "A",
          "D"
        ],
        [
          "F_ABD",
          "B",
          "A"
        ],
        [
          "F_ABD",
          "D",
          "B"
        ]
      ],
      "whole_face_boundary": {
        "AD": "1",
        "AB": "-1",
        "BD": "-1"
      }
    },
    "ACD": {
      "source_triangles": [
        [
          "F_ACD",
          "A",
          "C"
        ],
        [
          "F_ACD",
          "C",
          "D"
        ],
        [
          "F_ACD",
          "D",
          "A"
        ]
      ],
      "whole_face_boundary": {
        "AC": "1",
        "CD": "1",
        "AD": "-1"
      }
    },
    "BCD": {
      "source_triangles": [
        [
          "F_BCD",
          "B",
          "D"
        ],
        [
          "F_BCD",
          "C",
          "B"
        ],
        [
          "F_BCD",
          "D",
          "C"
        ]
      ],
      "whole_face_boundary": {
        "BD": "1",
        "BC": "-1",
        "CD": "-1"
      }
    }
  },
  "face_incidence": [
    [
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      }
    ]
  ],
  "vertex_gradient": [
    [
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      }
    ]
  ],
  "primitive_readout": [
    [
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "1",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      }
    ],
    [
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "0",
        "sqrt6": "0"
      },
      {
        "rational": "-1",
        "sqrt6": "0"
      }
    ]
  ],
  "geometries": {
    "source": {
      "A": [
        "1",
        "1",
        "1"
      ],
      "B": [
        "1",
        "-1",
        "-1"
      ],
      "C": [
        "-1",
        "1",
        "-1"
      ],
      "D": [
        "-1",
        "-1",
        "1"
      ]
    },
    "hinged": {
      "A": [
        "1",
        "1",
        "1"
      ],
      "B": [
        "1",
        "-1",
        "-1"
      ],
      "C": [
        "-1",
        "1",
        "-1"
      ],
      "D": [
        "5/3",
        "-5/3",
        "5/3"
      ]
    }
  },
  "face_area_squared": {
    "source": [
      "12",
      "12",
      "12",
      "12"
    ],
    "hinged": [
      "12",
      "12",
      "128/9",
      "128/9"
    ]
  },
  "hinge_rotation": [
    [
      "1/3",
      "-2/3",
      "2/3"
    ],
    [
      "2/3",
      "2/3",
      "1/3"
    ],
    [
      "-2/3",
      "1/3",
      "2/3"
    ]
  ],
  "shielding_identity": "For equal unit incident weights, K(K e_AB)=4 K e_AB and remote face rows annihilate K e_AB. Hence R_s e_AB=e_AB/s-K e_AB/[s(s+4)], independent of remote face weights.",
  "sensitivity_identity": "For a face weight w_f, d(R_s)_AB,AB/dw_f=-(C_f R_s e_AB)^2. The two remote curvature entries vanish in the source branch and become nonzero in the control.",
  "branches": {
    "source_face_metric": {
      "ABD_metric_multiplier": 1,
      "face_metrics": {
        "source": [
          {
            "rational": "1",
            "sqrt6": "0"
          },
          {
            "rational": "1",
            "sqrt6": "0"
          },
          {
            "rational": "1",
            "sqrt6": "0"
          },
          {
            "rational": "1",
            "sqrt6": "0"
          }
        ],
        "hinged": [
          {
            "rational": "1",
            "sqrt6": "0"
          },
          {
            "rational": "1",
            "sqrt6": "0"
          },
          {
            "rational": "0",
            "sqrt6": "3/8"
          },
          {
            "rational": "0",
            "sqrt6": "3/8"
          }
        ]
      },
      "operators": {
        "source": [
          [
            {
              "rational": "2",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            }
          ],
          [
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "2",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            }
          ],
          [
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "2",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            }
          ],
          [
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
              "rational": "2",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            }
          ],
          [
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "2",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            }
          ],
          [
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "2",
              "sqrt6": "0"
            }
          ]
        ],
        "hinged": [
          [
            {
              "rational": "2",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            }
          ],
          [
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "1",
              "sqrt6": "3/8"
            },
            {
              "rational": "0",
              "sqrt6": "-3/8"
            },
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "3/8"
            }
          ],
          [
            {
              "rational": "-1",
              "sqrt6": "0"
            },
            {
              "rational": "0",
              "sqrt6": "-3/8"
            },
            {
              "rational": "1",
              "sqrt6": "3/8"
            },
            {
              "rational": "0",
              "sqrt6": "0"
            },
            {
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                    "rational": "1/3",
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                    "rational": "29819/92112",
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                    "rational": "8561/92112",
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                    "rational": "-125/92112",
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                    "rational": "7801/92112",
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                    "rational": "29819/92112",
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                    "rational": "7801/92112",
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                    "rational": "-125/92112",
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                    "rational": "27/152",
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              "all_twelve_occurrence_readout": [
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                {
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                    "rational": "19789/186656",
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                    "rational": "53513/186656",
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                    "rational": "13367/186656",
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                    "rational": "6659/186656",
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                    "rational": "27/152",
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                    "rational": "13367/186656",
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                    "sqrt6": "3/76"
                  }
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                    "rational": "19789/186656",
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                    "rational": "53513/186656",
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                  }
                ],
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                  {
                    "rational": "0",
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                    "rational": "27/152",
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                    "rational": "-27/152",
                    "sqrt6": "3/76"
                  },
                  {
                    "rational": "27/152",
                    "sqrt6": "-3/76"
                  },
                  {
                    "rational": "11/76",
                    "sqrt6": "3/38"
                  }
                ]
              ],
              "anchored_schur": {
                "rational": "4144/1311",
                "sqrt6": "8/1311"
              },
              "curvature_form_value": {
                "rational": "140359/6031936",
                "sqrt6": "15/94249"
              }
            }
          }
        }
      ]
    }
  },
  "scope": "Static geometry-derived surface flux norm; a declared Maxwell-shaped response realization, not the native source dynamics or a physical Maxwell/time/particle-mass derivation.",
  "metric_rule": "Reference face area divided by each face area; no SI normalization or neutron/electron mass target.",
  "not_interpreted": [
    "Probe s is not physical time or a rest-energy offset.",
    "Zero cochain sum does not erase primitive traversal weight.",
    "A change of global geometry does not necessarily change every anchored response."
  ],
  "source_hashes": {
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    "research/nima/results/twelve-triangle-positive-geometry.json": "708ac85d833b188cc2393041294cc5d7ae83463ebbd1c08aecfe610468a3525a",
    "research/strominger/inputs/arrow-anchored-response-freeze.json": "ab1b580d3fb876376569cdcab0db92d259e440148c00a0d57b5546bb27862145",
    "research/strominger/checkers/check_arrow_anchored_response.py": "bea524395bdbaab606d58b19a6c5d504b30027be8902c2d3fc969d262e628f7a",
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  }
}