{
"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
}
}
Evidence
calculations.json
Edition and provenance
calculations.json
SHA-256 3f1acc6e35706510bdac6f6700db04f7b853b844eed0de7bef30567064f8d0c5
C480–C1634/Research_Cycles/C0932_C1131/prep/interface_constraints/calculations.json