{
"status": "NUMERICAL PASS; historical journal scope correction and question typo identified",
"reviewer": "inverse_family independent review",
"scope": "C1058–C1070 and reader07–18; no adopted or prep files edited",
"source_sha256": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530",
"interface_inputs_sha256": "e05037e8b8bd150e5e4130524cbe23cc7cf9f1e8522c5f9c15e463a9b828049f",
"all_numerical_checks_pass": true,
"checks": [
{
"name": "primary pin",
"pass": true,
"evidence": {
"sha256": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530"
}
},
{
"name": "C1058 four original literal paths",
"pass": true,
"evidence": [
[
1400,
1050,
1650
],
[
1400,
1650,
1050
],
[
1400,
1050,
600,
1050
],
[
1400,
3430,
9170
]
]
},
{
"name": "C1059 regular_Flood",
"pass": true,
"evidence": {
"one_pass_parts": [
4100,
5010,
5610
],
"prefixes": [
4100,
9110,
14720
],
"residues23": [
6,
2,
0
],
"E_prefixes": [
"102500/23",
"227750/23",
"16000"
],
"coordinate_images": [
"102638/23",
"227888/23",
"16006"
]
}
},
{
"name": "C1060 integral cuts regular_Flood",
"pass": true,
"evidence": {
"integral_cuts": [
3
]
}
},
{
"name": "C1059 regular_Noah",
"pass": true,
"evidence": {
"one_pass_parts": [
4100,
5610,
5010
],
"prefixes": [
4100,
9710,
14720
],
"residues23": [
6,
4,
0
],
"E_prefixes": [
"102500/23",
"242750/23",
"16000"
],
"coordinate_images": [
"102638/23",
"242888/23",
"16006"
]
}
},
{
"name": "C1060 integral cuts regular_Noah",
"pass": true,
"evidence": {
"integral_cuts": [
3
]
}
},
{
"name": "C1059 regular_Flood_Noah",
"pass": true,
"evidence": {
"one_pass_parts": [
4100,
5010,
600,
5010
],
"prefixes": [
4100,
9110,
9710,
14720
],
"residues23": [
6,
2,
4,
0
],
"E_prefixes": [
"102500/23",
"227750/23",
"242750/23",
"16000"
],
"coordinate_images": [
"102638/23",
"227888/23",
"242888/23",
"16006"
]
}
},
{
"name": "C1060 integral cuts regular_Flood_Noah",
"pass": true,
"evidence": {
"integral_cuts": [
4
]
}
},
{
"name": "C1059 cumulative_primary",
"pass": true,
"evidence": {
"one_pass_parts": [
4100,
3430,
7190
],
"prefixes": [
4100,
7530,
14720
],
"residues23": [
6,
9,
0
],
"E_prefixes": [
"102500/23",
"188250/23",
"16000"
],
"coordinate_images": [
"102638/23",
"188388/23",
"16006"
]
}
},
{
"name": "C1060 integral cuts cumulative_primary",
"pass": true,
"evidence": {
"integral_cuts": [
3
]
}
},
{
"name": "C1061 finite branch selector equivalence",
"pass": true,
"evidence": [
{
"primary_sum": 10620,
"complete": 14720,
"E_image": "16000",
"integral": true,
"converges": true
},
{
"primary_sum": 11610,
"complete": 15710,
"E_image": "392750/23",
"integral": false,
"converges": false
}
]
},
{
"name": "C1062 common calibrated volume",
"pass": true,
"evidence": {
"E": {
"count": "16000",
"volume": "5376000"
},
"P": {
"count": "44800/3",
"volume": "5376000"
},
"J": {
"count": "192000/13",
"volume": "5376000"
}
}
},
{
"name": "C1063 allocation obstruction",
"pass": true,
"evidence": {
"P": "7360/3",
"J": "7360/13"
}
},
{
"name": "C1064 common integer pivot obstructions",
"pass": true,
"evidence": {
"990": [
1,
24,
93
],
"1980": [
2,
48,
186
]
}
},
{
"name": "C1065 symbolic shortened-core formulas",
"pass": true,
"evidence": {
"three_to_two_coefficients": [
1260,
90,
-90,
-900
],
"three_to_one_coefficients": [
990,
-990
],
"reduced_divisors": {
"90": [
23,
23,
299
],
"990": [
23,
23,
299
]
},
"derivation": "Original core100a+10b+c. Two-digit remainder core10(10a+b-14)+c; one-digit remainder requires original core140+c. Endpoint gap adds held-anchor difference1400."
}
},
{
"name": "C1065 retained-zero branches",
"pass": true,
"evidence": {
"Adam_gap": 7200,
"Jacob_gap": 0,
"placement_caution": "zero difference does not supply source pivot residue"
}
},
{
"name": "C1066 all64 source endpoint literals",
"pass": true,
"evidence": {
"source_rows": 32,
"endpoint_entries": 64,
"scope": "verification coverage, not target outcomes or frequency"
}
},
{
"name": "C1066 complete difference meshes",
"pass": true,
"evidence": {
"source_meshes": [
5,
115
],
"E_meshes": [
"125/23",
"125"
],
"reference_image": 601
}
},
{
"name": "C1067 no additional measurement rank",
"pass": true,
"evidence": {
"rank": 2,
"primitive_kernel": [
10,
-101,
10
]
}
},
{
"name": "C1068 dependency classifications",
"pass": true,
"evidence": {
"claims": [
[
"uniform rational conversion commutes with coarsening",
"operator identity"
],
[
"proper prefixes fractional on all four source paths",
"complete fixed-family result"
],
[
"convergence and integral E completion choose the same branch",
"equivalent conditions in fixed two-branch domain"
],
[
"common E/P/J calendar volume",
"calibration identity transferred to source scalar"
],
[
"whole components cannot realize1/6 or1/26 allocations",
"source-support obstruction"
],
[
"990/1980 paired gaps forbid common-pivot integral images",
"necessary-condition theorem"
],
[
"full and nine-member difference meshes",
"exact representation of existing fields"
],
[
"additional uniform Key outputs retain rank2",
"dependent measurement certificate"
]
],
"retained": [
"original tail1400",
"held Nativity6",
"source partitions",
"source-appointed route and Key",
"grid interpretation"
],
"excluded": [
"second inversion",
"new target tally",
"new member admissions"
]
}
},
{
"name": "C1069 operation inventory",
"pass": true,
"evidence": {
"operations": [
"accumulate labelled edges",
"round resolved counts",
"clip against capacity",
"single component reversal",
"convert by a Key",
"coarsen or identify"
],
"scope": "inventory, not global minimality theorem"
}
},
{
"name": "C1070 completed result count",
"pass": true,
"evidence": {
"result": 139,
"question_typo": 140
}
},
{
"name": "Reader07 selected states",
"pass": true,
"evidence": {
"direction": "Rounded to selected Actual",
"displacement": [
-2,
8
],
"weighted_coordinate": 12026
}
},
{
"name": "Reader08–09 complete bounded register",
"pass": true,
"evidence": {
"2700": [
{
"columns": [
2,
6,
10
],
"reverse_total": 10620
}
],
"12600": [
{
"columns": [
11,
15,
10
],
"reverse_total": 11610
},
{
"columns": [
12,
5,
10
],
"reverse_total": 10620
}
]
}
},
{
"name": "Reader10 source tail and derived weight",
"pass": true,
"evidence": {
"gain": 7920,
"loss": 1980,
"weight": "4/5",
"original_tail": 1400,
"one_pass_tail": 4100,
"anchor_change": -1400,
"endpoint": 14726
}
},
{
"name": "Reader12–13 common calendar measures",
"pass": true,
"evidence": {
"shared_measure": "8400/23",
"12558_outputs": [
13650,
12740,
12600
],
"common_volume": 4586400
}
},
{
"name": "Reader13 mixed measure labels",
"pass": true,
"evidence": {
"matching_volume": 168000,
"swapped_volume": 164500,
"numerical_sum": 475,
"scope": "conditional mixed calendar comparison"
}
},
{
"name": "Reader14 source allocations and composition",
"pass": true,
"evidence": {
"allocation_fractions": [
"1/6",
"3/13",
"1/26"
],
"successive_whole_PJ": "7000/6877"
}
},
{
"name": "Reader14 calibration-allocation rank",
"pass": true,
"evidence": {
"equations": 4,
"independent_constraints": 3
}
},
{
"name": "Reader15 all retained-part families",
"pass": true,
"evidence": [
{
"parts": [
690,
0
],
"totals": [
690,
"700",
"750"
],
"recovered": [
"690",
"0"
]
},
{
"parts": [
690,
30
],
"totals": [
720,
"730",
"780"
],
"recovered": [
"690",
"30"
]
},
{
"parts": [
690,
60
],
"totals": [
750,
"760",
"810"
],
"recovered": [
"690",
"60"
]
},
{
"parts": [
9660,
2940
],
"totals": [
12600,
"12740",
"13440"
],
"recovered": [
"9660",
"2940"
]
}
]
},
{
"name": "Reader16 path versus total",
"pass": true,
"evidence": {
"partial": [
"805/2",
"175/2"
],
"uniform": [
"1225/3",
"245/3"
],
"internal_defect": [
"-35/6",
"35/6"
]
}
},
{
"name": "Reader17 common pivot theorem application",
"pass": true,
"evidence": {
"pivot_difference": -9170,
"gcd": 3,
"source_indices": [
92,
89,
46,
43,
0
],
"E_mesh": "250/23",
"proof": "x=a+q1*t; first output a+p1*t; second output integral iff p1*t is b-a modulo q2. If solvable, t spacing q2/g yields input spacing q1*q2/g."
}
},
{
"name": "Reader18 two-stage ladder and Rounded crossing",
"pass": true,
"evidence": {
"ladders": [
[
529,
575,
625
],
[
1058,
1150,
1250
],
[
10580,
11500,
12500
]
],
"Rounded_width": 12500,
"civil_width": 12501
}
},
{
"name": "Reader10 adopted direction correction",
"pass": true,
"evidence": {
"adopted_correction": "C1081",
"direction": "Rounded to Actual"
}
}
],
"issues": [
{
"id": "R1058-register",
"severity": "scope correction required",
"location": "journal C1058 results.register_wording",
"statement": "Original durations each have exactly one trailing zero; their three-digit cores end in nonzero digits.",
"counterexamples": {
"1400": {
"zeros": 2,
"core": 14
},
"600": {
"zeros": 2,
"core": 6
}
},
"correction": "Scope this wording to the earlier primary legs1650,1050,9170,3430. The four completed paths require the general placeholder-preserving operation.",
"numerical_impact": "None: C1059 implements the general operation. Reader08–09 correctly scope the register and Reader11 correctly gives the complete paths."
},
{
"id": "R1070-count",
"severity": "minor wording typo",
"location": "C1070 question",
"statement": "from140 completed actions",
"correction": "139 completed actions",
"numerical_impact": "None: result and finding already say139."
}
],
"reader_sections": [
{
"path": "c932_c1131/deliverables/sections/07_round_1.md",
"sha256": "757d0614e54157b6adc06cc75181a0b26b3f95934f7b4edc1cd78befcee43cb6",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/08_round_2.md",
"sha256": "2132c98025966c68c3ce6f558815c0aa384c8f6cfb6be46a4ed850edf7b404a7",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/09_round_3.md",
"sha256": "8349795f24f476a01ee6b62a1f616ebbb6c110074315b74c0a45252bed3cdc3e",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/10_round_4.md",
"sha256": "abd3e7cbf22a4d92dd6299cd2358bbc6bae3973c8d9f1e10c243cd69a853c228",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/11_round_5.md",
"sha256": "3c537caacbd23f1e0ebc4cb21d897c8c94c311b33faf4a9ccf3b5d58c9d6210e",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/12_round_6.md",
"sha256": "173ea9da4e883ad5b1c31bbde10fa342f0fd77019d09a4620e3a688c7b27cef2",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/13_keys_1.md",
"sha256": "e2a391741650991126f0bff84fd75ff4311c7ff9b35489bee509cea682e4e6b7",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/14_keys_2.md",
"sha256": "b5335c14e971ec4f42643eeb3b190afa34bb5d23bd7bc6dbe7b77e26738b9087",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/15_keys_3.md",
"sha256": "3d927eaaa16146f1f4e7231aeafad2cc5effe8a61509a910a4f43ce48fc31a16",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/16_keys_4.md",
"sha256": "205640033c9e205abf5aedfcac9befc4ff2ad40549d4e414bc2dcb73cf302350",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/17_keys_5.md",
"sha256": "015ce77a1559ebb27af27be897a66d62a095ebe76e24eb648815db31548f8719",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
},
{
"path": "c932_c1131/deliverables/sections/18_keys_6.md",
"sha256": "96e940ce254216b5b941809ef826e9c9b5e9f91375e1f3414d08824c2b00d9d0",
"verdict": "No additional cross-state, cross-count, or endpoint/full-path correction found"
}
],
"guards": {
"second_decimal_inversion_performed": false,
"new_target_tally_performed": false,
"prep_or_adopted_files_edited": false,
"original_tail": 1400,
"held_Nativity": 6
}
}
Evidence
INDEPENDENT C1058 C1070.json
Edition and provenance
INDEPENDENT_C1058_C1070.json
SHA-256 09d26bd5363595a8f0dd5e10dbc96c03b4ca8ca717e742d2ed933b8a806ca4d5
C480–C1634/Research_Cycles/C0932_C1131/evidence/INDEPENDENT_C1058_C1070.json