{
  "status": "PASS",
  "completed_path_prefix_field": {
    "regular_Flood": {
      "original_source_parts": [
        1400,
        1050,
        1650
      ],
      "single_pass_parts": [
        4100,
        5010,
        5610
      ],
      "original_one_pass_prefixes": [
        4100,
        9110,
        14720
      ],
      "component_residues_mod23": [
        6,
        19,
        21
      ],
      "prefix_residues_mod23": [
        6,
        2,
        0
      ],
      "E_parts": [
        "102500/23",
        "125250/23",
        "140250/23"
      ],
      "E_prefix_durations": [
        "102500/23",
        "227750/23",
        "16000"
      ],
      "permitted_integer_cut_indices": [
        3
      ],
      "finest_integral_consecutive_block": "whole numerical path; all source boundaries remain in metadata"
    },
    "regular_Noah": {
      "original_source_parts": [
        1400,
        1650,
        1050
      ],
      "single_pass_parts": [
        4100,
        5610,
        5010
      ],
      "original_one_pass_prefixes": [
        4100,
        9710,
        14720
      ],
      "component_residues_mod23": [
        6,
        21,
        19
      ],
      "prefix_residues_mod23": [
        6,
        4,
        0
      ],
      "E_parts": [
        "102500/23",
        "140250/23",
        "125250/23"
      ],
      "E_prefix_durations": [
        "102500/23",
        "242750/23",
        "16000"
      ],
      "permitted_integer_cut_indices": [
        3
      ],
      "finest_integral_consecutive_block": "whole numerical path; all source boundaries remain in metadata"
    },
    "regular_Flood_Noah": {
      "original_source_parts": [
        1400,
        1050,
        600,
        1050
      ],
      "single_pass_parts": [
        4100,
        5010,
        600,
        5010
      ],
      "original_one_pass_prefixes": [
        4100,
        9110,
        9710,
        14720
      ],
      "component_residues_mod23": [
        6,
        19,
        2,
        19
      ],
      "prefix_residues_mod23": [
        6,
        2,
        4,
        0
      ],
      "E_parts": [
        "102500/23",
        "125250/23",
        "15000/23",
        "125250/23"
      ],
      "E_prefix_durations": [
        "102500/23",
        "227750/23",
        "242750/23",
        "16000"
      ],
      "permitted_integer_cut_indices": [
        4
      ],
      "finest_integral_consecutive_block": "whole numerical path; all source boundaries remain in metadata"
    },
    "cumulative_primary": {
      "original_source_parts": [
        1400,
        3430,
        9170
      ],
      "single_pass_parts": [
        4100,
        3430,
        7190
      ],
      "original_one_pass_prefixes": [
        4100,
        7530,
        14720
      ],
      "component_residues_mod23": [
        6,
        3,
        14
      ],
      "prefix_residues_mod23": [
        6,
        9,
        0
      ],
      "E_parts": [
        "102500/23",
        "85750/23",
        "179750/23"
      ],
      "E_prefix_durations": [
        "102500/23",
        "188250/23",
        "16000"
      ],
      "permitted_integer_cut_indices": [
        3
      ],
      "finest_integral_consecutive_block": "whole numerical path; all source boundaries remain in metadata"
    }
  },
  "branch_equivalence": [
    {
      "inherited_one_pass_component_sum": 10620,
      "single_pass_tail": 4100,
      "completed_duration": 14720,
      "residue_mod23": 0,
      "E_duration": "16000",
      "E_integral": true,
      "matches_regular_primary": true
    },
    {
      "inherited_one_pass_component_sum": 11610,
      "single_pass_tail": 4100,
      "completed_duration": 15710,
      "residue_mod23": 1,
      "E_duration": "392750/23",
      "E_integral": false,
      "matches_regular_primary": false
    }
  ],
  "calibration_transfer": {
    "E": {
      "duration": "16000",
      "calendar_days": 336,
      "volume": "5376000",
      "integral_year_count": true
    },
    "P": {
      "duration": "44800/3",
      "calendar_days": 360,
      "volume": "5376000",
      "integral_year_count": false
    },
    "J": {
      "duration": "192000/13",
      "calendar_days": 364,
      "volume": "5376000",
      "integral_year_count": false
    }
  },
  "allocation_transfer": {
    "P": {
      "required_fraction": "1/6",
      "required_selected_duration": "7360/3",
      "integer_selected_span_possible": false,
      "whole_source_component_subset_possible": false,
      "status": "No source cut supplied; a fractional split would add a premise"
    },
    "J": {
      "required_fraction": "1/26",
      "required_selected_duration": "7360/13",
      "integer_selected_span_possible": false,
      "whole_source_component_subset_possible": false,
      "status": "No source cut supplied; a fractional split would add a premise"
    }
  },
  "long_core_gap_obstruction": {
    "990": {
      "gap_residues_by_Key_denominator": {
        "E": 1,
        "P": 24,
        "J": 93
      },
      "any_common_integer_pivot_can_make_both_integral": false
    },
    "1980": {
      "gap_residues_by_Key_denominator": {
        "E": 2,
        "P": 48,
        "J": 186
      },
      "any_common_integer_pivot_can_make_both_integral": false
    }
  },
  "short_core_symbolic_gap_conditions": {
    "two_digit_Conquest_core": "delta=90(14+a\u2212b\u221210c); shared E/P integer-pivot compatibility requires23|(14+a\u2212b\u221210c), while J requires299|(14+a\u2212b\u221210c)",
    "one_digit_Conquest_core": "delta=990(1\u2212c); E/P require23|(1\u2212c), while J requires299|(1\u2212c)",
    "retained_zero": "n200 delta0 imposes no difference obstruction; n410 delta7200 fails all three difference divisibility tests",
    "placement_caution": "Difference divisibility permits a common residue class; a source-appointed pivot still needs the correct residue."
  },
  "mesh_comparison": {
    "source_full_difference_gcd": 5,
    "full_E_difference_mesh": "125/23",
    "source_nine_difference_gcd": 115,
    "nine_E_difference_mesh": "125",
    "shared_existing_reference_source": 1731,
    "shared_existing_E_image": "601",
    "full_affine_lattice": "601+(125/23)Z",
    "nine_affine_lattice": "601+125Z",
    "status": "Difference-lattice description only; no new target outcomes computed"
  },
  "measurement_dependence": {
    "raw_row": [
      "100",
      "10",
      "1"
    ],
    "reverse_row": [
      "1",
      "10",
      "100"
    ],
    "uniform_Key_after_reverse_rows": {
      "E": [
        "25/23",
        "250/23",
        "2500/23"
      ],
      "P": [
        "70/69",
        "700/69",
        "7000/69"
      ],
      "J": [
        "300/299",
        "3000/299",
        "30000/299"
      ]
    },
    "rank_with_all_rows": 2,
    "nonzero_minor": "990",
    "reason": "Every added Key row is a scalar multiple of the existing reverse row, so none restores component allocation or order."
  },
  "checks": {
    "all_four_existing_path_totals": true,
    "no_proper_integral_E_prefix": true,
    "branch_selectors_equivalent_in_fixed_domain": true,
    "same_exact_day_volume": true,
    "whole_component_allocation_unavailable": true,
    "long_core_common_pivot_obstruction": true,
    "exact_difference_meshes": true,
    "uniform_postmeasurement_rank_unchanged": true
  }
}