{
"report": "C08",
"status": "PASS",
"check_count": 174,
"check_names": [
"input integrity sources/FILE_18.md",
"input integrity sources/FILE_09.md",
"input integrity sources/MIRROR_HANDOFF.md",
"input integrity sources/SELECTION_AND_ANCHOR_CERTIFICATE.json",
"input integrity sources/STEP_06.json",
"input integrity sources/STEP_09.json",
"input integrity sources/C01_RESULTS.json",
"input integrity sources/C03_RESULTS.json",
"input integrity sources/C07_RESULTS.json",
"input integrity sources/C07_REPORT.md",
"controlling FILE_18.md unchanged",
"controlling FILE_09.md unchanged",
"native and derived cumulative source fields",
"Cainan and matched cumulative Shem span",
"held Flood Mirror width from sourced opening and close",
"held SP Creation field",
"ordinary regular source table",
"retained checkpoint records pass",
"Noah G1 Flood G1 source relative Gear span",
"Noah G1 Flood G1 Flood member and 7475 Creation member sourced",
"Noah G1 Flood G1 normalized joint widths",
"Noah G1 Flood G1 single signed residue parameter",
"Noah G1 Flood G1 complementary width identities",
"Noah G1 Flood G1 all three divisibility tests in held 7475 slice",
"Noah G1 Flood G1 matched cumulative and regular Mirror equations",
"Noah G1 Flood G1 cumulative ON OFF interval decomposition",
"Noah G1 Flood G1 cumulative to Creation interface",
"Noah G1 Flood G1 source civil cross widths",
"Noah G1 Flood G1 same-season cumulative comparison",
"Noah G1 Flood G1 old layer convention and formal width agree",
"Noah G1 Flood G1 agrees with C07 source chain",
"Noah G1 Flood G2 source relative Gear span",
"Noah G1 Flood G2 Flood member and 7475 Creation member sourced",
"Noah G1 Flood G2 normalized joint widths",
"Noah G1 Flood G2 single signed residue parameter",
"Noah G1 Flood G2 complementary width identities",
"Noah G1 Flood G2 all three divisibility tests in held 7475 slice",
"Noah G1 Flood G2 matched cumulative and regular Mirror equations",
"Noah G1 Flood G2 cumulative ON OFF interval decomposition",
"Noah G1 Flood G2 cumulative to Creation interface",
"Noah G1 Flood G2 source civil cross widths",
"Noah G1 Flood G2 same-season cumulative comparison",
"Noah G1 Flood G2 old layer convention and formal width agree",
"Noah G1 Flood G2 agrees with C07 source chain",
"Noah G1 Flood G3 source relative Gear span",
"Noah G1 Flood G3 Flood member and 7475 Creation member sourced",
"Noah G1 Flood G3 normalized joint widths",
"Noah G1 Flood G3 single signed residue parameter",
"Noah G1 Flood G3 complementary width identities",
"Noah G1 Flood G3 all three divisibility tests in held 7475 slice",
"Noah G1 Flood G3 matched cumulative and regular Mirror equations",
"Noah G1 Flood G3 cumulative ON OFF interval decomposition",
"Noah G1 Flood G3 cumulative to Creation interface",
"Noah G1 Flood G3 source civil cross widths",
"Noah G1 Flood G3 same-season cumulative comparison",
"Noah G1 Flood G3 old layer convention and formal width agree",
"Noah G1 Flood G3 agrees with C07 source chain",
"Noah G2 Flood G1 source relative Gear span",
"Noah G2 Flood G1 Flood member and 7475 Creation member sourced",
"Noah G2 Flood G1 normalized joint widths",
"Noah G2 Flood G1 single signed residue parameter",
"Noah G2 Flood G1 complementary width identities",
"Noah G2 Flood G1 all three divisibility tests in held 7475 slice",
"Noah G2 Flood G1 matched cumulative and regular Mirror equations",
"Noah G2 Flood G1 cumulative ON OFF interval decomposition",
"Noah G2 Flood G1 cumulative to Creation interface",
"Noah G2 Flood G1 source civil cross widths",
"Noah G2 Flood G1 same-season cumulative comparison",
"Noah G2 Flood G1 old layer convention and formal width agree",
"Noah G2 Flood G1 agrees with C07 source chain",
"Noah G2 Flood G2 source relative Gear span",
"Noah G2 Flood G2 Flood member and 7475 Creation member sourced",
"Noah G2 Flood G2 normalized joint widths",
"Noah G2 Flood G2 single signed residue parameter",
"Noah G2 Flood G2 complementary width identities",
"Noah G2 Flood G2 all three divisibility tests in held 7475 slice",
"Noah G2 Flood G2 matched cumulative and regular Mirror equations",
"Noah G2 Flood G2 cumulative ON OFF interval decomposition",
"Noah G2 Flood G2 cumulative to Creation interface",
"Noah G2 Flood G2 source civil cross widths",
"Noah G2 Flood G2 same-season cumulative comparison",
"Noah G2 Flood G2 old layer convention and formal width agree",
"Noah G2 Flood G2 agrees with C07 source chain",
"Noah G2 Flood G3 source relative Gear span",
"Noah G2 Flood G3 Flood member and 7475 Creation member sourced",
"Noah G2 Flood G3 normalized joint widths",
"Noah G2 Flood G3 single signed residue parameter",
"Noah G2 Flood G3 complementary width identities",
"Noah G2 Flood G3 all three divisibility tests in held 7475 slice",
"Noah G2 Flood G3 matched cumulative and regular Mirror equations",
"Noah G2 Flood G3 cumulative ON OFF interval decomposition",
"Noah G2 Flood G3 cumulative to Creation interface",
"Noah G2 Flood G3 source civil cross widths",
"Noah G2 Flood G3 same-season cumulative comparison",
"Noah G2 Flood G3 old layer convention and formal width agree",
"Noah G2 Flood G3 agrees with C07 source chain",
"Noah G3 Flood G1 source relative Gear span",
"Noah G3 Flood G1 Flood member and 7475 Creation member sourced",
"Noah G3 Flood G1 normalized joint widths",
"Noah G3 Flood G1 single signed residue parameter",
"Noah G3 Flood G1 complementary width identities",
"Noah G3 Flood G1 all three divisibility tests in held 7475 slice",
"Noah G3 Flood G1 matched cumulative and regular Mirror equations",
"Noah G3 Flood G1 cumulative ON OFF interval decomposition",
"Noah G3 Flood G1 cumulative to Creation interface",
"Noah G3 Flood G1 source civil cross widths",
"Noah G3 Flood G1 same-season cumulative comparison",
"Noah G3 Flood G1 old layer convention and formal width agree",
"Noah G3 Flood G1 agrees with C07 source chain",
"Noah G3 Flood G2 source relative Gear span",
"Noah G3 Flood G2 Flood member and 7475 Creation member sourced",
"Noah G3 Flood G2 normalized joint widths",
"Noah G3 Flood G2 single signed residue parameter",
"Noah G3 Flood G2 complementary width identities",
"Noah G3 Flood G2 all three divisibility tests in held 7475 slice",
"Noah G3 Flood G2 matched cumulative and regular Mirror equations",
"Noah G3 Flood G2 cumulative ON OFF interval decomposition",
"Noah G3 Flood G2 cumulative to Creation interface",
"Noah G3 Flood G2 source civil cross widths",
"Noah G3 Flood G2 same-season cumulative comparison",
"Noah G3 Flood G2 old layer convention and formal width agree",
"Noah G3 Flood G2 agrees with C07 source chain",
"Noah G3 Flood G3 source relative Gear span",
"Noah G3 Flood G3 Flood member and 7475 Creation member sourced",
"Noah G3 Flood G3 normalized joint widths",
"Noah G3 Flood G3 single signed residue parameter",
"Noah G3 Flood G3 complementary width identities",
"Noah G3 Flood G3 all three divisibility tests in held 7475 slice",
"Noah G3 Flood G3 matched cumulative and regular Mirror equations",
"Noah G3 Flood G3 cumulative ON OFF interval decomposition",
"Noah G3 Flood G3 cumulative to Creation interface",
"Noah G3 Flood G3 source civil cross widths",
"Noah G3 Flood G3 same-season cumulative comparison",
"Noah G3 Flood G3 old layer convention and formal width agree",
"Noah G3 Flood G3 agrees with C07 source chain",
"six endpoint-supported Gear controls",
"three out of field cumulative controls",
"historical SP primary matches are only N02 and N04",
"source length layers represented",
"complete ordinary Creation member domain",
"full domain residue formula",
"small parameter bounds make modular zeros exact",
"full domain dependency B equals A plus twice E minus q",
"held 7475 slice has exact B equals A plus twice E",
"full domain joint selection equals q epsilon zero",
"full domain joint selection retains complete 13fold chain",
"full domain source supported member combinations",
"individual divisibility counts in full 72 domain",
"equivalence of 17fold and 2fold tests across full domain",
"exactly two joint source constructions",
"joint constructions agree with original C01 records",
"affine rank of full finite width triples",
"affine rank of held 7475 width triples",
"independent residue directions in full domain",
"raw 6877 interval covers all nine Gear pairs",
"same Gear counterexample raw 6877 but incomplete family",
"same Gear counterexample fails 17fold and 2fold",
"N02 retained cumulative OFF and SP endpoints",
"N02 retained ON cumulative partner only",
"N02 three sourced comparison widths",
"N02 ordinary Creation full expansion chain",
"N02 868 cumulative Creation interface",
"N02 nested width difference is two unequal flanks",
"N04 retained cumulative OFF and SP endpoints",
"N04 retained ON cumulative partner only",
"N04 three sourced comparison widths",
"N04 ordinary Creation full expansion chain",
"N04 868 cumulative Creation interface",
"N04 nested width difference is two unequal flanks",
"historical 598 layer support distinction",
"historical original graph size",
"historical report09 counts unchanged",
"historical primary SP Creation attachment count",
"historical primary SP Creation attachments"
],
"scope": {
"regular_frame": "full 430; Terah shift 0; MT/SP Cainan OFF",
"regular_Gears_only": [
"Noah",
"Shem",
"Flood"
],
"Noah_SP_rail": "primary",
"Flood_boundary": "start",
"Creation_Gear": 2,
"ordinary_SP_Creation": [
4421,
4420,
4419,
4418,
4417,
4416,
4415,
4414
],
"cumulative_fields": {
"LXX_native_ON_Flood": [
5750,
5749,
5748,
5747,
5746,
5745,
5744,
5743
],
"LXX_derived_OFF_Flood": [
5290,
5289,
5288,
5287,
5286,
5285,
5284,
5283
],
"LXX_native_ON_Shem": [
6350,
6349,
6348,
6347,
6346,
6345,
6344,
6343
],
"LXX_derived_OFF_Shem": [
5890,
5889,
5888,
5887,
5886,
5885,
5884,
5883
]
},
"cumulative_ON_OFF_status": "cross-state coordinate comparison; not one merged chronology",
"Mirror_axis": "January AD 1; no civil year zero",
"domain": "nine Gear pairs times eight members of the already held ordinary SP Creation week",
"inactive": [
"new chronology selectors",
"primers",
"Rounded",
"localized minus33",
"upstream Gear transport",
"regular MT Cainan ON plus Terah60 profiles from old N07 N08 labels"
]
},
"held_flood_mirror_width": 8395,
"laws": {
"L": "600-2(Flood_Gear-Noah_Gear)",
"epsilon": "L-598",
"q": "Creation+MT_Noah-7475",
"full_width_triple": "[6877+q-epsilon,8993+epsilon,1058+epsilon]",
"full_residue_triple": "[q-epsilon,epsilon,epsilon] mod 529",
"joint_finite_selection": "epsilon=0 and q=0",
"held_7475_width_triple": "[7475-L,8395+L,460+L]",
"full_domain_identities": [
"B-E=7935=15*529",
"B=A+2E-q"
],
"held_7475_identities": [
"B=A+2E",
"A+B=15870=30*529",
"A+E=B-E=7935=15*529"
],
"held_7475_cumulative_Creation_gap": "270+L"
},
"layer_table": [
{
"L": 596,
"epsilon": -2,
"widths_A_B_E": [
6879,
8991,
1056
],
"signed_residuals": [
2,
-2,
-2
],
"Gear_pairs_with_complete_endpoint_fields": []
},
{
"L": 598,
"epsilon": 0,
"widths_A_B_E": [
6877,
8993,
1058
],
"signed_residuals": [
0,
0,
0
],
"Gear_pairs_with_complete_endpoint_fields": [
[
1,
2
],
[
2,
3
]
]
},
{
"L": 600,
"epsilon": 2,
"widths_A_B_E": [
6875,
8995,
1060
],
"signed_residuals": [
-2,
2,
2
],
"Gear_pairs_with_complete_endpoint_fields": [
[
1,
1
],
[
2,
2
],
[
3,
3
]
]
},
{
"L": 602,
"epsilon": 4,
"widths_A_B_E": [
6873,
8997,
1062
],
"signed_residuals": [
-4,
4,
4
],
"Gear_pairs_with_complete_endpoint_fields": [
[
3,
2
]
]
},
{
"L": 604,
"epsilon": 6,
"widths_A_B_E": [
6871,
8999,
1064
],
"signed_residuals": [
-6,
6,
6
],
"Gear_pairs_with_complete_endpoint_fields": []
}
],
"Gear_cases": [
{
"Noah_Gear": 1,
"Flood_Gear": 1,
"relative_Gear_C07": 0,
"comparison_layer_old": 0,
"L": 600,
"epsilon": 2,
"regular_reflected": {
"MT_Flood": 2456,
"MT_Noah": 3056,
"SP_Flood": 3106,
"SP_primary_Noah": 3706
},
"cumulative_OFF_later_D": 5289,
"required_cumulative_OFF_earlier": 5889,
"required_cumulative_ON_earlier": 6349,
"cumulative_fields_supported": true,
"cumulative_OFF_earlier_member": 1,
"cumulative_OFF_later_member": 1,
"C07_Creation_BC_Nisan": 4419,
"C07_Creation_offset": 2,
"C07_slice_widths": [
6875,
8995,
1060
],
"C07_slice_signed_residuals": [
-2,
2,
2
],
"C07_slice_cumulative_to_Creation": 870,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "sourced cross-state cumulative comparison",
"B_equal_opposite_side": "sourced"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 1,
"Flood_Gear": 2,
"relative_Gear_C07": 1,
"comparison_layer_old": -1,
"L": 598,
"epsilon": 0,
"regular_reflected": {
"MT_Flood": 2458,
"MT_Noah": 3056,
"SP_Flood": 3108,
"SP_primary_Noah": 3706
},
"cumulative_OFF_later_D": 5287,
"required_cumulative_OFF_earlier": 5885,
"required_cumulative_ON_earlier": 6345,
"cumulative_fields_supported": true,
"cumulative_OFF_earlier_member": 5,
"cumulative_OFF_later_member": 3,
"C07_Creation_BC_Nisan": 4419,
"C07_Creation_offset": 2,
"C07_slice_widths": [
6877,
8993,
1058
],
"C07_slice_signed_residuals": [
0,
0,
0
],
"C07_slice_cumulative_to_Creation": 868,
"historical_SP_primary_arc_matches": [
"N02"
],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "sourced cross-state cumulative comparison",
"B_equal_opposite_side": "sourced"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 1,
"Flood_Gear": 3,
"relative_Gear_C07": 2,
"comparison_layer_old": -2,
"L": 596,
"epsilon": -2,
"regular_reflected": {
"MT_Flood": 2460,
"MT_Noah": 3056,
"SP_Flood": 3110,
"SP_primary_Noah": 3706
},
"cumulative_OFF_later_D": 5285,
"required_cumulative_OFF_earlier": 5881,
"required_cumulative_ON_earlier": 6341,
"cumulative_fields_supported": false,
"cumulative_OFF_earlier_member": 9,
"cumulative_OFF_later_member": 5,
"C07_Creation_BC_Nisan": 4419,
"C07_Creation_offset": 2,
"C07_slice_widths": [
6879,
8991,
1056
],
"C07_slice_signed_residuals": [
2,
-2,
-2
],
"C07_slice_cumulative_to_Creation": 866,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "formal; required ON earlier member outside held field",
"B_equal_opposite_side": "formal; required OFF earlier member outside held field"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 2,
"Flood_Gear": 1,
"relative_Gear_C07": -1,
"comparison_layer_old": 1,
"L": 602,
"epsilon": 4,
"regular_reflected": {
"MT_Flood": 2456,
"MT_Noah": 3058,
"SP_Flood": 3106,
"SP_primary_Noah": 3708
},
"cumulative_OFF_later_D": 5289,
"required_cumulative_OFF_earlier": 5891,
"required_cumulative_ON_earlier": 6351,
"cumulative_fields_supported": false,
"cumulative_OFF_earlier_member": -1,
"cumulative_OFF_later_member": 1,
"C07_Creation_BC_Nisan": 4417,
"C07_Creation_offset": 4,
"C07_slice_widths": [
6873,
8997,
1062
],
"C07_slice_signed_residuals": [
-4,
4,
4
],
"C07_slice_cumulative_to_Creation": 872,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "formal; required ON earlier member outside held field",
"B_equal_opposite_side": "formal; required OFF earlier member outside held field"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 2,
"Flood_Gear": 2,
"relative_Gear_C07": 0,
"comparison_layer_old": 0,
"L": 600,
"epsilon": 2,
"regular_reflected": {
"MT_Flood": 2458,
"MT_Noah": 3058,
"SP_Flood": 3108,
"SP_primary_Noah": 3708
},
"cumulative_OFF_later_D": 5287,
"required_cumulative_OFF_earlier": 5887,
"required_cumulative_ON_earlier": 6347,
"cumulative_fields_supported": true,
"cumulative_OFF_earlier_member": 3,
"cumulative_OFF_later_member": 3,
"C07_Creation_BC_Nisan": 4417,
"C07_Creation_offset": 4,
"C07_slice_widths": [
6875,
8995,
1060
],
"C07_slice_signed_residuals": [
-2,
2,
2
],
"C07_slice_cumulative_to_Creation": 870,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "sourced cross-state cumulative comparison",
"B_equal_opposite_side": "sourced"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 2,
"Flood_Gear": 3,
"relative_Gear_C07": 1,
"comparison_layer_old": -1,
"L": 598,
"epsilon": 0,
"regular_reflected": {
"MT_Flood": 2460,
"MT_Noah": 3058,
"SP_Flood": 3110,
"SP_primary_Noah": 3708
},
"cumulative_OFF_later_D": 5285,
"required_cumulative_OFF_earlier": 5883,
"required_cumulative_ON_earlier": 6343,
"cumulative_fields_supported": true,
"cumulative_OFF_earlier_member": 7,
"cumulative_OFF_later_member": 5,
"C07_Creation_BC_Nisan": 4417,
"C07_Creation_offset": 4,
"C07_slice_widths": [
6877,
8993,
1058
],
"C07_slice_signed_residuals": [
0,
0,
0
],
"C07_slice_cumulative_to_Creation": 868,
"historical_SP_primary_arc_matches": [
"N04"
],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "sourced cross-state cumulative comparison",
"B_equal_opposite_side": "sourced"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 1,
"relative_Gear_C07": -2,
"comparison_layer_old": 2,
"L": 604,
"epsilon": 6,
"regular_reflected": {
"MT_Flood": 2456,
"MT_Noah": 3060,
"SP_Flood": 3106,
"SP_primary_Noah": 3710
},
"cumulative_OFF_later_D": 5289,
"required_cumulative_OFF_earlier": 5893,
"required_cumulative_ON_earlier": 6353,
"cumulative_fields_supported": false,
"cumulative_OFF_earlier_member": -3,
"cumulative_OFF_later_member": 1,
"C07_Creation_BC_Nisan": 4415,
"C07_Creation_offset": 6,
"C07_slice_widths": [
6871,
8999,
1064
],
"C07_slice_signed_residuals": [
-6,
6,
6
],
"C07_slice_cumulative_to_Creation": 874,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "formal; required ON earlier member outside held field",
"B_equal_opposite_side": "formal; required OFF earlier member outside held field"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"relative_Gear_C07": -1,
"comparison_layer_old": 1,
"L": 602,
"epsilon": 4,
"regular_reflected": {
"MT_Flood": 2458,
"MT_Noah": 3060,
"SP_Flood": 3108,
"SP_primary_Noah": 3710
},
"cumulative_OFF_later_D": 5287,
"required_cumulative_OFF_earlier": 5889,
"required_cumulative_ON_earlier": 6349,
"cumulative_fields_supported": true,
"cumulative_OFF_earlier_member": 1,
"cumulative_OFF_later_member": 3,
"C07_Creation_BC_Nisan": 4415,
"C07_Creation_offset": 6,
"C07_slice_widths": [
6873,
8997,
1062
],
"C07_slice_signed_residuals": [
-4,
4,
4
],
"C07_slice_cumulative_to_Creation": 872,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "sourced cross-state cumulative comparison",
"B_equal_opposite_side": "sourced"
},
"new_historical_graph_join_admitted": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"relative_Gear_C07": 0,
"comparison_layer_old": 0,
"L": 600,
"epsilon": 2,
"regular_reflected": {
"MT_Flood": 2460,
"MT_Noah": 3060,
"SP_Flood": 3110,
"SP_primary_Noah": 3710
},
"cumulative_OFF_later_D": 5285,
"required_cumulative_OFF_earlier": 5885,
"required_cumulative_ON_earlier": 6345,
"cumulative_fields_supported": true,
"cumulative_OFF_earlier_member": 5,
"cumulative_OFF_later_member": 5,
"C07_Creation_BC_Nisan": 4415,
"C07_Creation_offset": 6,
"C07_slice_widths": [
6875,
8995,
1060
],
"C07_slice_signed_residuals": [
-2,
2,
2
],
"C07_slice_cumulative_to_Creation": 870,
"historical_SP_primary_arc_matches": [],
"width_status": {
"A": "sourced Creation to reflected MT Flood",
"B": "sourced cumulative OFF later to reflected SP primary Noah",
"E": "sourced cross-state cumulative comparison",
"B_equal_opposite_side": "sourced"
},
"new_historical_graph_join_admitted": false
}
],
"all_72_Creation_Gear_cases": [
{
"Noah_Gear": 1,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4421,
"Creation_offset": 0,
"q": 2,
"epsilon": 2,
"widths_A_B_E": [
6877,
8995,
1060
],
"residues_mod_529": [
0,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 1,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4420,
"Creation_offset": 1,
"q": 1,
"epsilon": 2,
"widths_A_B_E": [
6876,
8995,
1060
],
"residues_mod_529": [
528,
2,
2
],
"all_three_divisible": false,
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"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4418,
"Creation_offset": 3,
"q": 3,
"epsilon": 6,
"widths_A_B_E": [
6874,
8999,
1064
],
"residues_mod_529": [
526,
6,
6
],
"all_three_divisible": false,
"all_three_source_supported": false,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4417,
"Creation_offset": 4,
"q": 2,
"epsilon": 6,
"widths_A_B_E": [
6873,
8999,
1064
],
"residues_mod_529": [
525,
6,
6
],
"all_three_divisible": false,
"all_three_source_supported": false,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4416,
"Creation_offset": 5,
"q": 1,
"epsilon": 6,
"widths_A_B_E": [
6872,
8999,
1064
],
"residues_mod_529": [
524,
6,
6
],
"all_three_divisible": false,
"all_three_source_supported": false,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4415,
"Creation_offset": 6,
"q": 0,
"epsilon": 6,
"widths_A_B_E": [
6871,
8999,
1064
],
"residues_mod_529": [
523,
6,
6
],
"all_three_divisible": false,
"all_three_source_supported": false,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 1,
"Creation_BC_Nisan": 4414,
"Creation_offset": 7,
"q": -1,
"epsilon": 6,
"widths_A_B_E": [
6870,
8999,
1064
],
"residues_mod_529": [
522,
6,
6
],
"all_three_divisible": false,
"all_three_source_supported": false,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4421,
"Creation_offset": 0,
"q": 6,
"epsilon": 4,
"widths_A_B_E": [
6879,
8997,
1062
],
"residues_mod_529": [
2,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4420,
"Creation_offset": 1,
"q": 5,
"epsilon": 4,
"widths_A_B_E": [
6878,
8997,
1062
],
"residues_mod_529": [
1,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4419,
"Creation_offset": 2,
"q": 4,
"epsilon": 4,
"widths_A_B_E": [
6877,
8997,
1062
],
"residues_mod_529": [
0,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4418,
"Creation_offset": 3,
"q": 3,
"epsilon": 4,
"widths_A_B_E": [
6876,
8997,
1062
],
"residues_mod_529": [
528,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4417,
"Creation_offset": 4,
"q": 2,
"epsilon": 4,
"widths_A_B_E": [
6875,
8997,
1062
],
"residues_mod_529": [
527,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4416,
"Creation_offset": 5,
"q": 1,
"epsilon": 4,
"widths_A_B_E": [
6874,
8997,
1062
],
"residues_mod_529": [
526,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4415,
"Creation_offset": 6,
"q": 0,
"epsilon": 4,
"widths_A_B_E": [
6873,
8997,
1062
],
"residues_mod_529": [
525,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 2,
"Creation_BC_Nisan": 4414,
"Creation_offset": 7,
"q": -1,
"epsilon": 4,
"widths_A_B_E": [
6872,
8997,
1062
],
"residues_mod_529": [
524,
4,
4
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4421,
"Creation_offset": 0,
"q": 6,
"epsilon": 2,
"widths_A_B_E": [
6881,
8995,
1060
],
"residues_mod_529": [
4,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4420,
"Creation_offset": 1,
"q": 5,
"epsilon": 2,
"widths_A_B_E": [
6880,
8995,
1060
],
"residues_mod_529": [
3,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4419,
"Creation_offset": 2,
"q": 4,
"epsilon": 2,
"widths_A_B_E": [
6879,
8995,
1060
],
"residues_mod_529": [
2,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4418,
"Creation_offset": 3,
"q": 3,
"epsilon": 2,
"widths_A_B_E": [
6878,
8995,
1060
],
"residues_mod_529": [
1,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4417,
"Creation_offset": 4,
"q": 2,
"epsilon": 2,
"widths_A_B_E": [
6877,
8995,
1060
],
"residues_mod_529": [
0,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4416,
"Creation_offset": 5,
"q": 1,
"epsilon": 2,
"widths_A_B_E": [
6876,
8995,
1060
],
"residues_mod_529": [
528,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4415,
"Creation_offset": 6,
"q": 0,
"epsilon": 2,
"widths_A_B_E": [
6875,
8995,
1060
],
"residues_mod_529": [
527,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
},
{
"Noah_Gear": 3,
"Flood_Gear": 3,
"Creation_BC_Nisan": 4414,
"Creation_offset": 7,
"q": -1,
"epsilon": 2,
"widths_A_B_E": [
6874,
8995,
1060
],
"residues_mod_529": [
526,
2,
2
],
"all_three_divisible": false,
"all_three_source_supported": true,
"joint_source_selected": false,
"full_13fold_chain": false
}
],
"joint_source_witnesses": [
{
"OFF_arc": "N02",
"ON_cumulative_reference": "N07",
"Noah_Gear": 1,
"Flood_Gear": 2,
"Creation_pair": "4420t/4419n BC",
"A_6877": {
"from": "4420t/4419n BC",
"to": "AD 2458t/2459n"
},
"B_8993": {
"from": "5288t/5287n BC",
"to": "AD 3706t/3707n",
"equal_side": [
"5886t/5885n BC",
"AD 3108t/3109n"
]
},
"E_1058": {
"from_ON": "6346t/6345n BC",
"to_OFF": "5288t/5287n BC",
"decomposition": [
460,
598
]
},
"B_minus_A_flanks": [
868,
1248
],
"B_minus_A_equals_twice_E": 2116,
"old_chart_placements": [
"J02",
"J03",
"J04"
],
"ON_regular_profile_activated": false
},
{
"OFF_arc": "N04",
"ON_cumulative_reference": "N08",
"Noah_Gear": 2,
"Flood_Gear": 3,
"Creation_pair": "4418t/4417n BC",
"A_6877": {
"from": "4418t/4417n BC",
"to": "AD 2460t/2461n"
},
"B_8993": {
"from": "5286t/5285n BC",
"to": "AD 3708t/3709n",
"equal_side": [
"5884t/5883n BC",
"AD 3110t/3111n"
]
},
"E_1058": {
"from_ON": "6344t/6343n BC",
"to_OFF": "5286t/5285n BC",
"decomposition": [
460,
598
]
},
"B_minus_A_flanks": [
868,
1248
],
"B_minus_A_equals_twice_E": 2116,
"old_chart_placements": [
"J05"
],
"ON_regular_profile_activated": false
}
],
"raw_6877_same_Gear_counterexample": {
"Creation": 4421,
"Noah_Gear": 1,
"Flood_Gear": 1,
"Creation_widths": [
6877,
7477,
8127
],
"joint_widths_A_B_E": [
6877,
8995,
1060
]
},
"historical_graph_status": {
"records": 66,
"selected_598_records": 16,
"complete_joins": 9,
"selected_but_Flood_only": 7,
"C01_attachment_placements": 4,
"C01_distinct_Creation_chains": 2,
"new_graph_records_added": 0
},
"summary": {
"joint_529_selection": "L=598 and q=0",
"joint_source_cases": 2,
"joint_widths": [
6877,
8993,
1058
],
"nine_Gear_pairs": 9,
"complete_endpoint_field_controls": 6,
"full_Creation_member_domain": 72,
"all_three_fields_supported_combinations": 48,
"full_width_triple_affine_rank": 2,
"held_7475_width_triple_affine_rank": 1,
"independent_residue_conditions_full_domain": 2,
"independent_residue_conditions_held_7475_slice": 1,
"17fold_and_2fold_divisibility_equivalent": true,
"6877_alone_selects_598": false,
"three_independent_529_discoveries_claimed": false,
"complementary_width_identities_claim_new_endpoint_paths": false,
"formal_expansions_executed": false,
"canonical_sources_modified": false,
"historical_campaign_rerun": false,
"Reports_11_25_completion_claimed": false
}
}
Evidence
C08 RESULTS.json
Linked sources and evidence
Edition and provenance
C08_RESULTS.json
SHA-256 aa26cb5a48fd8fb8788d8560b3ab5a56999298a81e19aadce92bc7d054723fdc
C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/joint_529_selection_20260921/evidence/C08_RESULTS.json