{
"title": "A common construction for the selected chronological families",
"scope": "Source-bound conditional reconstruction; no claim of global minimality",
"components": [
{
"component": "Primitive_Data_Register",
"path": "deliverables/490d_Primitive_Data_Register_C1431.json",
"sha256": "835256a979ce3144314519cf922937bb630f0fe3c37d1bf7cda923d31bf2151c",
"content": {
"title": "Primitive-data register for the connected chronological families",
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{
"path": "model/primitive_genealogy_module.json",
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"content": {
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{
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910,
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"Q_y": 910,
"excess": 0,
"rounding_residual": 2,
"branch": "unclipped",
"missing_if_branch_known": "residual only; excess=0"
},
{
"L": 905,
"c": 1072,
"y": 905,
"Q_y": 905,
"excess": 0,
"rounding_residual": 0,
"branch": "unclipped",
"missing_if_branch_known": "residual only; excess=0"
},
{
"L": 910,
"c": 982,
"y": 910,
"Q_y": 910,
"excess": 0,
"rounding_residual": 0,
"branch": "unclipped",
"missing_if_branch_known": "residual only; excess=0"
},
{
"L": 895,
"c": 912,
"y": 895,
"Q_y": 895,
"excess": 0,
"rounding_residual": 0,
"branch": "unclipped",
"missing_if_branch_known": "residual only; excess=0"
},
{
"L": 962,
"c": 847,
"y": 847,
"Q_y": 845,
"excess": 115,
"rounding_residual": 2,
"branch": "clipped",
"missing_if_branch_known": "excess only; y=c fixes residual"
},
{
"L": 365,
"c": 785,
"y": 365,
"Q_y": 365,
"excess": 0,
"rounding_residual": 0,
"branch": "unclipped",
"missing_if_branch_known": "residual only; excess=0"
},
{
"L": 969,
"c": 720,
"y": 720,
"Q_y": 720,
"excess": 249,
"rounding_residual": 0,
"branch": "clipped",
"missing_if_branch_known": "excess only; y=c fixes residual"
},
{
"L": 777,
"c": 653,
"y": 653,
"Q_y": 655,
"excess": 124,
"rounding_residual": -2,
"branch": "clipped",
"missing_if_branch_known": "excess only; y=c fixes residual"
}
],
"input_roles": [
"completedbegettingpath",
"declaredNoah-to-Flooddistance",
"inclusiveendpointcontribution",
"person-labelledbaselineledger"
],
"generated_roles": [
"birthcapacities",
"clippedlifeledger",
"activebranches",
"discardedexcesses",
"Roundedcounts"
],
"reconstruction_limit": "The outputcannotidentifythebaselineexcesses; knownbranchfixeswhichlossregister isneeded.",
"scope": "NinepreNoahrows,nativeSPG2; no upstreamGearpropagation."
}
},
{
"path": "model/primitive_Moses_path_module.json",
"sha256": "c2201e8d17a6d48195820c113a29971dcbe8a5345e7c58327b3892287f22ca0d",
"content": {
"rows": [
{
"name": "Adam",
"actual": 130,
"rounded": 130,
"next": "Seth",
"actual_BC": 4112,
"rounded_BC": 4106,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Seth",
"actual": 105,
"rounded": 105,
"next": "Enosh",
"actual_BC": 3982,
"rounded_BC": 3976,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Enosh",
"actual": 90,
"rounded": 90,
"next": "Kenan",
"actual_BC": 3877,
"rounded_BC": 3871,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Kenan",
"actual": 70,
"rounded": 70,
"next": "Mahalalel",
"actual_BC": 3787,
"rounded_BC": 3781,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Mahalalel",
"actual": 65,
"rounded": 65,
"next": "Jared",
"actual_BC": 3717,
"rounded_BC": 3711,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Jared",
"actual": 162,
"rounded": 160,
"next": "Enoch",
"actual_BC": 3652,
"rounded_BC": 3646,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Enoch",
"actual": 65,
"rounded": 65,
"next": "Methuselah",
"actual_BC": 3490,
"rounded_BC": 3486,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Methuselah",
"actual": 187,
"rounded": 185,
"next": "Lamech",
"actual_BC": 3425,
"rounded_BC": 3421,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Lamech",
"actual": 182,
"rounded": 180,
"next": "Noah",
"actual_BC": 3238,
"rounded_BC": 3236,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Noah",
"actual": 500,
"rounded": 500,
"next": "Shem",
"actual_BC": 3056,
"rounded_BC": 3056,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Shem",
"actual": 100,
"rounded": 100,
"next": "Arphaxad",
"actual_BC": 2556,
"rounded_BC": 2556,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Arphaxad",
"actual": 35,
"rounded": 35,
"next": "Shelah",
"actual_BC": 2456,
"rounded_BC": 2456,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Shelah",
"actual": 30,
"rounded": 30,
"next": "Eber",
"actual_BC": 2421,
"rounded_BC": 2421,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Eber",
"actual": 34,
"rounded": 35,
"next": "Peleg",
"actual_BC": 2391,
"rounded_BC": 2391,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Peleg",
"actual": 30,
"rounded": 30,
"next": "Reu",
"actual_BC": 2357,
"rounded_BC": 2356,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Reu",
"actual": 32,
"rounded": 30,
"next": "Serug",
"actual_BC": 2327,
"rounded_BC": 2326,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Serug",
"actual": 30,
"rounded": 30,
"next": "Nahor",
"actual_BC": 2295,
"rounded_BC": 2296,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Nahor",
"actual": 29,
"rounded": 30,
"next": "Terah",
"actual_BC": 2265,
"rounded_BC": 2266,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Terah",
"actual": 70,
"rounded": 70,
"next": "Abraham",
"actual_BC": 2236,
"rounded_BC": 2236,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Abraham",
"actual": 100,
"rounded": 100,
"next": "Isaac",
"actual_BC": 2166,
"rounded_BC": 2166,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Isaac",
"actual": 60,
"rounded": 60,
"next": "Jacob",
"actual_BC": 2066,
"rounded_BC": 2066,
"edge_role": "selectedbegettinginterval"
},
{
"name": "Jacob",
"actual": 91,
"rounded": 90,
"next": "Joseph",
"actual_BC": 2006,
"rounded_BC": 2006,
"edge_role": "ageatJosephbirthderivedfromnarrativeconstants"
},
{
"name": "Joseph",
"actual": 39,
"rounded": 40,
"next": "Entry",
"actual_BC": 1915,
"rounded_BC": 1916,
"edge_role": "ageatEntryderivedfromnarrativeconstants"
},
{
"name": "Entry",
"actual": 350,
"rounded": 350,
"next": "Moses",
"actual_BC": 1876,
"rounded_BC": 1876,
"edge_role": "eventintervaltoMosesbirth"
},
{
"name": "Moses",
"actual_BC": 1526,
"rounded_BC": 1526,
"edge_role": "heldterminus"
}
],
"tail_source_constants": {
"Joseph_service": 30,
"plenty": 7,
"famine_elapsed": 2,
"Jacob_at_Entry": 130,
"Entry_BC": 1876,
"Moses_BC": 1526,
"Exodus_BC": 1446
},
"base_state": "Terah70,CainanOFF,Shem+2excluded",
"terminology": "OrderedRegular chronologicalpath; includesgenealogicalandedgesendingatevents.",
"derived_summaries": [
"2580position",
"fiveblocks",
"130|800recapitulation",
"430/490cyclecomparisons"
],
"source_scope": "Moses1526held; SP4411remainstransmittedblock."
}
},
{
"path": "model/primitive_inverse_module.json",
"sha256": "2ebe305f8e91a041d3996818e34c11b2cc89bd31d78372cebaf4cdab023bc601",
"content": {
"source_hash": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530",
"anchor": {
"BC": 6,
"role": "heldNativitysourceanchor"
},
"original_paths": {
"regular_Flood": [
1400,
1050,
1650
],
"regular_Noah": [
1400,
1650,
1050
],
"regular_Flood_Noah": [
1400,
1050,
600,
1050
],
"cumulative_primary": [
1400,
3430,
9170
]
},
"regular_source_nodes": {
"Nativity": {
"BC": 6,
"role": "heldsourceanchor",
"source": "File52c"
},
"Conquest": {
"BC": 1406,
"role": "sourceeventanchor",
"source": "File52c"
},
"Flood": {
"BC": 2456,
"role": "selectedRoundedevent",
"source": "File52c"
},
"Noah": {
"BC": 3056,
"role": "sourcebirth",
"source": "MosesMTpath"
},
"Creation": {
"BC": 4106,
"role": "sourcehead",
"source": "MosesMTpath"
},
"Arphaxad": {
"BC": 2456,
"role": "sourcebirth",
"source": "MosesMTpath"
}
},
"digit_rule": "Reverseeachadmittedoriginalnonnegativeintegerdurationonce, preservingitstrailingzero placeholders.",
"partition_status": "Source-appointed; whole reversal andsegment reversal aredifferentoperators.",
"coordinate_rule": "Roundedq(BBC)=1−B,q(ADA)=A−1; RoundedwidthB+A−2; expresslycivilcomparisonsB+A−1.",
"separate_cumulative_source": {
"Creation_BC": 14006,
"Flood_BC": 4836
},
"excluded": "Seconddecimalinversion; newtargettally; unlicensedSPtransfer"
}
},
{
"path": "model/primitive_Key_module.json",
"sha256": "e9073dfeeb7e02f5f9372836355b3c5521fe02e2b101c7336a64c21fb31288e4",
"content": {
"keys": [
{
"id": "Priestly",
"factor": "25/23",
"calendar_measure": 336,
"schematic_volume_per_input_year": "8400/23"
},
{
"id": "Prophetic",
"factor": "70/69",
"calendar_measure": 360,
"schematic_volume_per_input_year": "8400/23"
},
{
"id": "Enochian",
"factor": "300/299",
"calendar_measure": 364,
"schematic_volume_per_input_year": "8400/23"
}
],
"anchored_form": "a+k(x−a) inadeclaredlinearchart",
"retained_part_packet": {
"calendar_measures": [
336,
360,
364
],
"allocation_fractions": [
"1/6",
"1/26"
],
"completion_relations_retained_as_premises": [
"E−6P=−5",
"E−26J=−25"
],
"pivots": [
14006,
4836
],
"retained_component_fields": [
[
690,
0
],
[
690,
30
],
[
690,
60
],
[
9660,
2940
]
],
"Covenant_parts": [
299,
161
],
"scope": "alternative constraint basis; no independent historical derivation"
},
"scope": "Exactcommonvolume isaschematiccalibration; eachchronologicalapplicationretainsitsappointedpivot, selectedparts andgridinterpretation.",
"distinct_Sothic": "H2923/2921 doesnotsharetheexactK calibration; G1680/1679 isthedeclared365-dayextension, notautomaticreplacement."
}
},
{
"path": "model/primitive_Covenant_module.json",
"sha256": "85ce4d66c1883c09eaaa7fa9e096017670765deffb6c5fd63323b51997a8d99f",
"content": {
"parameters": [
{
"id": "Q",
"value": 1866,
"role": "minimumcomparisonCovenantanchor"
},
{
"id": "T",
"value": 1406,
"role": "Conquestterminal"
},
{
"id": "qI",
"value": 1,
"role": "CovenanttoIshmaelbirth"
},
{
"id": "qX",
"value": 15,
"role": "CovenanttoIsaacbirth"
},
{
"id": "xJ",
"value": 60,
"role": "IsaactoJacobbirth"
},
{
"id": "jCall",
"value": 77,
"role": "Jacobageatcall"
},
{
"id": "callL",
"value": 10,
"role": "calltoLevibirth"
},
{
"id": "callZ",
"value": 14,
"role": "calltoJosephbirth"
},
{
"id": "L_I",
"value": 137,
"role": "Ishmaellife"
},
{
"id": "L_L",
"value": 137,
"role": "Levilife"
},
{
"id": "L_J",
"value": 147,
"role": "Jacoblife"
},
{
"id": "L_Z",
"value": 110,
"role": "Josephlife"
},
{
"id": "L_A",
"value": 175,
"role": "Abrahamlife"
},
{
"id": "Moses_birth",
"value": 1526,
"role": "heldMosesbirth"
},
{
"id": "full_state_shift",
"value": 215,
"role": "declaredfullstatetranslation"
},
{
"id": "L_Isaac",
"value": 180,
"role": "Isaaclife"
},
{
"id": "L_Kohath",
"value": 133,
"role": "Kohathlife"
},
{
"id": "L_Amram",
"value": 137,
"role": "Amramlife"
},
{
"id": "phase",
"value": "7/2",
"role": "exacthalfweekphase"
}
],
"dependency_ledger": {
"parameters": [
"Q",
"T",
"qI",
"qX",
"xJ",
"jCall",
"callL",
"callZ",
"L_I",
"L_L",
"L_J",
"L_Z",
"L_A",
"Moses_birth",
"full_state_shift",
"L_Isaac",
"L_Kohath",
"L_Amram",
"phase"
],
"parameter_count": 19,
"output_count": 55,
"rank": 19,
"forced_joins": [
"Kohath→regular Levi death by clutch definition",
"Levi→regular Levi birth by shared lifespan"
],
"additional_join": "Jacob→regular Isaac adds A1",
"source_authority": [
"full-state Covenant2081 author-designated",
"offering2051 / Isaac age15 proposed",
"1936 whole-year separate from1936.5 exact"
],
"generated_values": {
"clutch": 14,
"half": 7,
"regular_gaps": [
161,
299,
276
]
},
"limits": "local parameter rank, not historical independence or globally minimal model"
},
"authority": "FullstateCovenant2081author-designated; offering2051/Isaacage15proposed; exact1936.5distinctfromwhole1936.",
"integration": "Clutchisaderivedcomparison relation; noimportintoFile54NTarithmetic."
}
},
{
"path": "model/primitive_count_module.json",
"sha256": "7f4c8f830b53821231fdc55c2da80aafbf0da31af7c9ffd260de862e52bd233a",
"content": {
"Esau": {
"names": [
"female goats",
"male goats",
"ewes",
"rams",
"cows",
"bulls",
"camel female block",
"female donkeys",
"male donkeys"
],
"counts": [
200,
20,
200,
20,
40,
10,
30,
20,
10
],
"declared_category_orders": {
"clean_order": [
1,
3,
5,
0,
2,
4
],
"female_order": [
0,
2,
6,
4,
7
],
"unclean_order": [
7,
6,
8
]
}
},
"Tishri": {
"species_totals": [
75,
18,
176,
11
],
"template_matrix": [
[
0,
0,
2,
1,
1,
70,
1
],
[
0,
0,
1,
1,
1,
14,
1
],
[
1,
1,
7,
7,
7,
98,
7
],
[
0,
0,
1,
1,
1,
7,
1
]
],
"role": "species/occasiontemplateanddeclaredorder"
},
"Toledot": {
"occurrence_to_section": [
1,
2,
3,
4,
5,
6,
7,
8,
9,
9,
10
],
"role": "occurrencemeasurewithmultiplicity,notsetcardinality"
},
"NT": {
"full_chart_rows": 78,
"shared_comparison_names": [
"Adam",
"Seth",
"Enosh",
"Kenan",
"Mahalalel",
"Jared",
"Enoch",
"Methuselah",
"Lamech",
"Noah",
"Shem",
"Arphaxad",
"Shelah",
"Eber",
"Peleg",
"Reu",
"Serug",
"Nahor",
"Terah",
"Abraham",
"Isaac",
"Jacob"
],
"unit": 70,
"role": "schematicorderedslotswithsourceopening6BC",
"source_scope": "File43 §3.4 schematic display-only70-year openings,6BC hinge; not actual historical birth identifications."
},
"common_interface": "Selectameasureonsource-orderedlabels, thenaccumulateorgroupwithoutlosingcategoryormultiplicity."
}
},
{
"path": "model/primitive_variant_module.json",
"sha256": "e10d9af4d06427f1c2c37a4aa5cda3d186d4d29001ea73ad0c018e04a9c0865f",
"content": {
"source_roles": [
{
"symbol": "u",
"value": 100,
"role": "Shared observed begetting difference on twelve named MT/LXX rows; Nahor carries half.",
"source": "File18 §§2.1.3–2.2,4.1–4.2; lines1223–1252,1692–1748.",
"status": "Difference of supplied selected rows; equality across locations is an observed/fitted pattern, not twelve independent historical trials."
},
{
"symbol": "T",
"value": 60,
"role": "Terah variant,130−70.",
"source": "File04 §2.4,lines427–446; File18 §1.3.1 Terah table,lines645–650.",
"status": "Repository textual harmonization205−75=130;130−70=60, explicitly structural inference."
},
{
"symbol": "C",
"value": 130,
"role": "Second Cainan Regular insertion.",
"source": "File18 §1.6.1–§1.6.2,lines1123–1147; nativeLXX§4.2.",
"status": "Selected begetting interval, distinct from his lifespan460 and from Terah’s numerically equal130. LXX already contains it."
},
{
"symbol": "S",
"value": 215,
"role": "Sojourn allocation difference with Exodus held.",
"source": "File00 §3.3.1,lines790–804; File18 §1.1.",
"status": "Primary Egypt215/430 comparison; not the subordinate whole-system Exodus215."
}
],
"support_masks": [
{
"block": "Adam through Arphaxad/Flood",
"T": 1,
"C": 1,
"S": 1
},
{
"block": "inserted Cainan through Terah",
"T": 1,
"C": 0,
"S": 1
},
{
"block": "Abraham through Joseph/Levi",
"T": 0,
"C": 0,
"S": 1
},
{
"block": "Aaron/Moses onward",
"T": 0,
"C": 0,
"S": 0
}
],
"support_qualifications": [
"Kohath/Amram have no direct regular-date anchors in this variant scheme.",
"Cainan’s inserted coordinate is constructed relative toShelah; it receives no extra self-shift.",
"The same variant state cancels from a paired MT/LXX comparison wherever masks agree. Unmatched labels addTΔt+CΔc+SΔs at shared upstream heads.",
"The ordinary common-row LXXOFF comparison is a declared theoretical leveling; nativeLXX retains its row and gives1380/780.",
"T/C/S masks are prefix incidence; the centenary row-change mask has internal locations. One does not determine the other."
],
"finite_field": {
"states": [
{
"T_on": 0,
"C_on": 0,
"S_on": 0,
"offset": 0
},
{
"T_on": 1,
"C_on": 0,
"S_on": 0,
"offset": 60
},
{
"T_on": 0,
"C_on": 1,
"S_on": 0,
"offset": 130
},
{
"T_on": 1,
"C_on": 1,
"S_on": 0,
"offset": 190
},
{
"T_on": 0,
"C_on": 0,
"S_on": 1,
"offset": 215
},
{
"T_on": 1,
"C_on": 0,
"S_on": 1,
"offset": 275
},
{
"T_on": 0,
"C_on": 1,
"S_on": 1,
"offset": 345
},
{
"T_on": 1,
"C_on": 1,
"S_on": 1,
"offset": 405
}
],
"ordered_offsets": [
0,
60,
130,
190,
215,
275,
345,
405
],
"gaps": [
60,
70,
60,
25,
60,
70,
60
],
"width": 405,
"ordering_premises": "0<T<C andS>T+C",
"scope": "source-approvedbinarychoices at a nodewhere allthree supportsapply; not universalwholegenealogytranslations"
},
"calibration_status": "u isderivedfrompairedrows; T,C,Sareseparatelysourcedchoices. C=13u/10 andT=3u/5 areobservedcross-layerrelations, notextraindependentwitnesses.",
"prohibition": "AfiniteCainanrestoration isnot anunlimitedadditiveaction; source supportneverexpandedbysharednumeral."
}
}
],
"interpretation": "Primitive meansretainedinputforadeclaredconstruction,notindependenthistoricalatom. Derivedamplitudes,sums,residuals andranks aremarkedassummaries.",
"canonical_sources": "Unmodifiedfrozen44-sourcepacket;latestFile52ccontrolsRoundedinverse;File18controlsrows.",
"limits": "No globalminimuminputcount orhistoricalpriorityclaim.",
"reader_notes": [
"Modules retain selected source rows, states, event roles, units, cuts and anchors.",
"Calculated remainders, measured gaps and fitted amplitudes are marked as derived; they are not counted again as independent primitives.",
"Residuals and discarded cap excesses retain lost information for exact recovery.",
"The register is not a globally minimal source model."
]
}
},
{
"component": "Operation_Inventory",
"path": "deliverables/490d_Operation_Inventory_C1431.json",
"sha256": "7f470272589cf355573a52e2c86f8ac4a6bd6b8ffa19f0bee4c28e3ebc36cc79",
"content": {
"title": "Admitted operation inventory",
"operation_ids": [
"row_repartition",
"life_adjustment",
"accumulate_measure",
"insert_source_row",
"cap_resolved_life",
"round_resolved_count",
"translate_with_residual",
"anchored_Key",
"scoped_translation",
"reverse_original_components_once",
"group_source_blocks",
"source_reflection"
],
"modules": [
{
"path": "model/operations_row_changes.json",
"sha256": "c47e3d756c6f6a68a4fbce1c87b14ef2681892ad3c0c8e10f1daf87c95668903",
"content": {
"operations": [
{
"id": "row_repartition",
"input_object": "ordinarycompatible(b,r,L),L=b+r",
"action": "(b+d,r−d,L)",
"preserved": "L",
"lost": "nonewhen d retained",
"domain": "b+d>=0 andr−d>=0; sourcechoosesallowedd androws",
"source_support": "namedrowmask",
"evidence": [
"C1152",
"C1173",
"C1175"
]
},
{
"id": "life_adjustment",
"input_object": "ordinarycompatible(b,r,L),L=b+r",
"action": "(b,r+e,L+e)",
"preserved": "b",
"lost": "nonewhen e retained",
"domain": "r+e>=0; sourcechoosesallowede androws",
"source_support": "namedrowmask",
"evidence": [
"C1152",
"C1182"
]
}
],
"combined": "Uniqueordinaryrowdifference hasd=delta_b ande=delta_L.",
"composition": "Unrestrictedmapscommute; intermediatevalidity andsourceadmission areadditionalconditions.",
"not_applied": "InclusiveSPcountrows arenotsilentlyordinarybiographies."
}
},
{
"path": "model/operations_measure_and_insert.json",
"sha256": "cfbb6e920db5eb788f74fb7c86f2dd626159d63a619c7cd7f93085bc6184951c",
"content": {
"operations": [
{
"id": "accumulate_measure",
"input": "orderedlabelledweightsw andterminala",
"action": "X_i=a+sum(w_j forj>=i)",
"output": "completeboundaryfield",
"preserved": "order and everyedgeweight whencompletefield+terminalretained",
"lost": "internalweightsifonlyheadtotalretained",
"measure_choices": "effectivebirthinterval,selectedlifespan,NTslot,countcategory",
"evidence": [
"C1185",
"C1234",
"C1267"
]
},
{
"id": "insert_source_row",
"input": "source-authorizedlocation androw(b,r,L)",
"action": "addnamedvertex anditsselectededge/rowmeasure",
"output": "neworderedsourceobject",
"preserved": "unaffecteddownstreamsourcefield",
"lost": "noneifinsertionidentityretained",
"Cainan": "130Regular,460Cumulative; nativeLXXalreadyON",
"evidence": [
"C1187",
"C1188",
"C1255"
]
}
],
"connection": "Differentmeasurements ofoneinsertedrow arelinkedbyitsbiographicaldata, notbyidentifying130and460."
}
},
{
"path": "model/operations_cap_and_round.json",
"sha256": "7283fef390fea970c5f46796435bcb3ca98ae84d8b6a149a0ffb60fe06563008",
"content": {
"operations": [
{
"id": "cap_resolved_life",
"input": "labelledbaselineL andresolvedcapacityc",
"action": "y=min(L,c)",
"output": "selectedlifecountwithsourcecounttag",
"preserved": "orderundercoordinatewiseincrease; unchangedinputbelowcap",
"lost": "excessL−c abovecap",
"retained_recovery": "branch-appropriateexcess/residualregister",
"evidence": [
"C1202",
"C1204",
"C1206"
]
},
{
"id": "round_resolved_count",
"input": "specifiednonnegativeintegerrowcount",
"action": "Q(x)=5floor((x+2)/5)",
"output": "roundedrowcountplusoptionalrho=x−Q(x)",
"preserved": "order;translationsby5Z",
"lost": "within-cellresidualwhenomitted",
"retained_recovery": "Q(x)+rho=x;aggregatepathresidualisun-normalizedsum",
"evidence": [
"C1190",
"C1213",
"C1277",
"C1278"
]
}
],
"composition": "Q(min(L,c))=min(Q(L),Q(c)) forconsistentlyresolvedcounts; separatelyroundeddatecapacitiesarenotthesameinput.",
"classification": "Monotone many-to-onemaps; notinvertibleaffinesymmetries."
}
},
{
"path": "model/operation_rounded_residual_lift.json",
"sha256": "bd2161f77a5734cf947305a44807fda26a4662b73b0caf57042f145a29dc7c11",
"content": {
"id": "translate_with_residual",
"input": "(y,rho),y in5Z,rho in[-2,2],x=y+rho;source-authorizedintegerd",
"action": "(y+Q_Z(rho+d),rho+d−Q_Z(rho+d))",
"output": "losslessRoundedplusresidualencodingofx+d",
"preserved": "exactreconstructedvalueunderknownshift;T_eT_d=T_(d+e)",
"lost": "nonewhilebothcoordinatesretained",
"without_residual": "Universalactiononroundedcellsexistsonlyfor d in5Z",
"source_domain": "Algebraicnegativeauxiliaryresidualallowed;originaldurationandchronologystatesremain source-qualified.",
"evidence": [
"C1218",
"C1219 all105measurements",
"C1220",
"C1221"
]
}
},
{
"path": "model/operations_Key_and_translation.json",
"sha256": "378a5168356f3f31aff4f1290967e70e8ad64bad0b69bf2c3903e7f205bad224",
"content": {
"operations": [
{
"id": "anchored_Key",
"input": "typedcoordinatex,pivota,exactfactork,coordinatechartandunits",
"action": "a+k(x−a)",
"output": "generatedcomparisoncoordinateinthesamedeclaredchart",
"preserved": "ratiosofdifferencesaboutheldpivot; schematicdayvolume when calendarunitmatched",
"lost": "noneoverrationalswithpivotandnonzerofactorretained",
"domain": "Sourceappointedroute;integerstagedomainrequiresdivisibility",
"evidence": [
"Strategy3.3/5C",
"C984–C1007 inherited",
"C1226"
]
},
{
"id": "scoped_translation",
"input": "declaredsourcefieldandmovingmask,magnitudet",
"action": "x_i→x_i+t onallowednodes",
"output": "sourcevariantorcomparisonfieldwithsamecounttags",
"preserved": "internaldifferenceswhensamenodestranslate together",
"lost": "absoluteframeiftranslationforgotten",
"domain": "PrimarySojournscope,ApparentAgeandlocalGearscopeseachseparate",
"evidence": [
"C1256",
"C1263",
"C1228"
]
}
],
"order_relation": "D_k T_t=T_(kt) D_k inlinearcoordinates;generallynotT_t D_k",
"pivot_relation": "Changingonlyananchorisnottranslatingthecompleteobject."
}
},
{
"path": "model/operation_single_reversal.json",
"sha256": "491fcb2e22c636250b8114a27e689cd1f67e448859dd29c290f1799c72d28fbe",
"content": {
"id": "reverse_original_components_once",
"input": "source-appointedorderedwordoforiginalnonnegativeintegerdurations",
"action": "Forpositive10^z m with10notdividingm, keep10^z andreverse decimaldigitsofm;zero maps tozero. Applyonceto eachadmittedoriginalpart.",
"output": "orderedtransformedwordwithoriginalpartitionprovenance",
"preserved": "sourcepartlabelsanddeclaredplaceholderpolicy;notgeneralsums",
"lost": "Repartitioningchangesoutput; do nottreattransformedwordasoriginalinput",
"domain": "File52c admittedsinglepassroutes;notgeneralMirror orsame-sidereflection",
"composition_conditions": "UniformrationalKeymayfollowondeclaredspan; sourcegridinterpretationandheldanchorretained",
"evidence": [
"File52c1.2",
"C1058–C1068 inherited",
"C1273–C1276"
],
"excluded": "inverseoftheinverse"
}
},
{
"path": "model/operations_group_and_reflect.json",
"sha256": "e544e9ff27d160fd1748095fbf88dbbc486a9c463725d99acc71e9833ca11448",
"content": {
"operations": [
{
"id": "group_source_blocks",
"input": "orderedweightedsourceobjectanddeclaredblockmap",
"action": "sumweightsinblocks; retainmultiplicityforidentifiedoccurrences",
"output": "coarserlabelledmeasure",
"preserved": "totalmeasurewhenweightsandmultiplicitiescarried",
"lost": "internalpositionsandweightsunlessretainedseparately",
"domain": "Sourcecategoriesandorderdeclaredbeforeexecution",
"evidence": [
"C1009–C1029",
"C1277"
]
},
{
"id": "source_reflection",
"input": "declaredcoordinatechartorfiniteorderedobjectwithappointedcenter/reversal",
"action": "applythesource-definedreflectiononthatobject",
"output": "reflectedfieldwithsameobjecttags",
"preserved": "dependsonthefixedsourceaction;groupingmustmapwholefibrescompatiblyfordescent",
"lost": "noautomaticdescenttoarbitraryquotients",
"domain": "RoundedqMirror,civil-displayreflectionandsame-sidereflectionaredistinct",
"evidence": [
"Strategy4.5/5E",
"C1024–C1029 inherited"
]
}
],
"contrast": "NTseven-edgegroupingpreservesitsreflection;Toledotoccurrencecollapsepreservesmeasurewithmultiplicitybutnotitsreflection."
}
}
],
"interpretation": "Onevocabularyofsource-qualifiedoperations; notoneoperationavailableoneveryfamily.",
"composition_rule": "Outputmeasure,state,count,role,anchor andinformation mustsatisfythestatednextinputdomain.",
"reader_notes": [
"Each operation carries its source object, measurement, domain, moving support and output role.",
"Composition is admitted only when the next operation receives the required source information.",
"A shared operation does not imply that two families share the same inputs.",
"Single reversal applies once to original source components; its output is not a new reversal input in this cycle."
]
}
},
{
"component": "Relation_Ledger",
"path": "deliverables/490d_Relation_Ledger_C1431.json",
"sha256": "730037727faf7931be90c3e56174adcd5ff8667a548c85ec5ee9387df3ebfce2",
"content": {
"title": "Verified operation relations and additional source conditions",
"claim_classes": {
"classes": [
{
"id": "identity",
"meaning": "Followsforalldeclaredinputsfromoperationdefinitions",
"example": "Accumulationofrowdifferences equalsdifferenceofaccumulatedfields"
},
{
"id": "domain_condition",
"meaning": "Determineswhenaspecifiedcompositionisvalid",
"example": "Intermediateintegergrid ornonnegativeR/A path"
},
{
"id": "source_constraint",
"meaning": "Additionalrelationamongreceivedsourcevaluesorroles",
"example": "Eber40+Nahor60=u100;C=1.3u andT=.6u"
},
{
"id": "family_reconstruction",
"meaning": "Completefixedsourcefield generatedbyretaineddataandmaps",
"example": "Moses25nodes andthreeinverseinputwords"
},
{
"id": "interpretive_comparison",
"meaning": "Literaryorhistoricalmeaningattachedtotheverifiedarithmetic",
"example": "ArphaxadassecondAdam"
}
],
"counting_rule": "Dependentdisplaysremainonefamily; identitychecksarenotindependenthistoricalwitnesses.",
"source_origin": "No classbyitselfestablishesthesourcevalueshistoricalorigin."
},
"relations": [
{
"path": "model/relation_accumulation.json",
"sha256": "9f2772db1df27cda5f061f53aa369e7aa413e20763e0bb77fd80e14b4f8734ee",
"content": {
"id": "accumulation_linearity",
"class": "identity",
"inputs": "sameorderedlabeldomain,weightvectorsw,wprime,retainedterminals",
"statement": "Forcommonterminala, Xprime−X=U(wprime−w), U_ij=1 ifj>=i. Differentterminalsaddtheexplicitconstantoffset.",
"proof": "Subtractthetwosuffixsums termbyterm. Adjacentdifferencesrecovereachlocalchange.",
"source_applications": [
"MT/LXX complete19rowb/L fields",
"SP/LXX postFloodlife field",
"Roundedlocalerrorfieldwithzeroheaderror"
],
"evidence": [
"model/regular_kernel_complete_staircase.json",
"model/whole_genealogy_rounding_interior_field.json"
],
"limit": "Differentlabeldomainsfirstrequireadeclaredinsertionorcomparisonadapter."
}
},
{
"path": "model/relation_cap_round.json",
"sha256": "8e7c569b7af4de1b2ac28931c7641db8baba7a4527764440c0a36f6023265651",
"content": {
"id": "cap_round_monotonicity",
"class": "identity",
"statement": "Q(min(L,c))=min(Q(L),Q(c))",
"inputs": "SameintegerL,c andsameorder-preservingQ onresolvedcountmeasures",
"proof": "WhicheverofL,c issmallerhasthenolargerQvalue;bothroutesselectthatvalue.",
"application": "NineSPpreNoah lifecounts,withinclusivecapacityresolvedbeforeQ",
"information": "Equalityofroutesdoesnotrestoreexcesslifeorroundingresidual.",
"limits": [
"Usingexactc ononlyonerouteisadifferentcomparison",
"RoundingBCbirth/Floodlabelsfirstdoesnotcomputethesameresolvedcapacity",
"OrdinarybiographicalL=b+r isnotinferredforinclusiveSPcounts"
],
"evidence": [
"C1202–C1212",
"model/cap_round_commutation_scope.json",
"model/cap_round_visibility_witnesses.json"
]
}
},
{
"path": "model/relation_rounded_residuals.json",
"sha256": "1c0b4aa4f98bb9e353a968eb99533277ba860ce60b040fe488a24060ad35574e",
"content": {
"id": "rounded_residual_coherence",
"class": "identity",
"statement": "encode(x+d)=T_d(encode(x));T_eT_d=T_(d+e),whereencode(x)=(Q(x),x−Q(x))",
"proof": "Bothsidesreconstructtheuniqueexactvaluex+doreventuallyx+d+e,andnearestfiveencodingisunique.",
"aggregate_statement": "Fororderedrowdataw=y+rho, Uw=Uy+Urho;Urhoisnotrenormalized.",
"applications": [
"105ordinaryintertraditionmeasurements",
"complete25-nodeMosesexactfield"
],
"limits": [
"Droppingrhoallowsall-inputtranslationonlyford in5Z",
"ChronologicaladmissionofintermediateTstatesremainsaseparatesourcecondition",
"BlockroundingQ(Bw)usuallydiffersfromB Q(w)"
],
"evidence": [
"model/all_ordinary_lifted_translations.json",
"model/rounded_translation_composition.json",
"model/Moses_complete_residual_recovery.json"
]
}
},
{
"path": "model/relation_Key_sums.json",
"sha256": "ba7b84e3f9838473c66fb0ecd9dfd3cb849acc3fa0a8048d0e8ad48449a34954",
"content": {
"id": "Key_sum_compatibility",
"class": "identity_with_domain_condition",
"uniform_statement": "k sum(w_i)=sum(k w_i)",
"anchored_statement": "Applytospansaboutthedeclaredpivot;do notmultiplyrawBClabels.",
"mixed_statement": "ForblocksumB anddiagonalfactorsK,thereexistsblockfactorKbar withBK=Kbar B forallinputs iff eachblock’scomponentfactorsareconstant.",
"proof": "Uniformcaseisdistributivity; mixedcasecomparesthecoefficientofeachindependentcomponentwithinablock.",
"applications": [
"threeKeyscommoncalendarvolume",
"fourcompletedinversepathwhole-spans",
"partialversusuniform483→490 comparison"
],
"limits": [
"Rationalwhole-spancompletiondoesnotmaketheproperprefixesintegral",
"DifferentcomponentKeysneedsource-appointedcutroles",
"Equalendpoint490doesnotimplyequalinteriors"
],
"evidence": [
"inherited/model/completed_path_prefix_field.json",
"inherited/model/retained_part_complete_field.json",
"inherited/model/mixed_calendar_complete_field.json"
]
}
},
{
"path": "model/relation_affine_grid_domains.json",
"sha256": "99bb3e4f0350677d6ba82dc8f15f381d7c78ebc4822e14412e2ce912230bde8b",
"content": {
"id": "affine_composition_and_grid",
"class": "identity_with_domain_condition",
"identity": "D_k T_t=T_(kt) D_k inlinearcoordinates;anchoredoffsetscarriedexplicitly",
"rational_domain": "Nonzeroexactfactorscomposeoverrationalspans.",
"integer_example": {
"first": "J=300/299 about14006",
"second": "P=70/69 about4836",
"first_integer_input": "x=14006+299t",
"first_integer_output": "y=14006+300t",
"second_span": "9170+300t",
"residue_mod3": 2,
"conclusion": "Neverdivisibleby69;integerintermediatestageconditionfailsforallintegert."
},
"source_scope": "Theobstructionbelongstothesefixedpivotsandgridrequirements,notallJ/Papplications.",
"evidence": "inheritedC984–C1007 fixedpivotdomainclassification"
}
},
{
"path": "model/relation_grouping_reflection.json",
"sha256": "4c6ff0cb4fb2a646e79edc4982ea4aaa54b2a197bb01ec1f55131bbfa7b2425b",
"content": {
"id": "grouping_reflection_descent",
"class": "domain_condition",
"criterion": "Reflectiondescendsiff anytwoelementsinthesamegroup havereflections inthesamegroup.",
"proof": "Amaponthequotientiswell-defined exactlywhentherepresentativechoice doesnotchangeitsoutputclass.",
"measure_relation": "Pushforwardofoccurrencemeasureusesmultiplicity evenwhenreflectiondoesnotdescend.",
"Toledot_witness": {
"collapsed_occurrences": [
9,
10
],
"reflections": [
3,
2
],
"output_sections": [
3,
2
]
},
"NT_contrast": "Theinheritedprimaryseven-edgegroupinghasreflection-compatiblefibres.",
"evidence": [
"inherited/model/toledot_quotient.json",
"C1024–C1029"
]
}
},
{
"path": "model/relation_inverse_partition.json",
"sha256": "66d109ae0238a81f415ee8847be71eabc366b94683328289ae877a38ffe77ef5",
"content": {
"id": "reversal_partition_dependence",
"class": "noncommutation_witness",
"original_source_parts": [
1650,
1050
],
"original_whole": 2700,
"whole_one_pass_image": 7200,
"separate_one_pass_images": [
5610,
5010
],
"separate_image_total": 10620,
"statement": "Reverseaftercoarsening differsfromcoarsenaftercomponentreversal.",
"source_scope": "Botharguments areoriginalsource durations, notinheritedinverseoutputs; eachisreversedoncefor thisexistingcomparison.",
"consequence": "Originalpartitionandoperationroute arepartoftheinput, notdecorativeannotations."
}
},
{
"path": "model/relation_Covenant_joins.json",
"sha256": "ab887e864f689b1b575d9b2f8b5f4cc06f40c5281f307d6ffb046a2978fef8bb",
"content": {
"id": "Covenant_clutch_joins",
"class": "definition_plus_source_constraint",
"definition": "d=C_K−D,whereC_KiscumulativeKohathandDisfullregularLevideath",
"forced_join1": "C_K−d=D bydefinition",
"forced_join2": "C_L−d=B becausebothpathsuseLevi’s137-yearlife",
"additional_join": "C_J−d=regularIsaacbirth requiresregularIsaac-to-Levibirth=Jacoblife147",
"source_relation": "60+77+10=147",
"generated_example": {
"Kohath_after": 1782,
"Levi_after": 1919,
"Jacob_after": 2066
},
"phase": "SameNisanderivedd actsontheexact+3.5Aaron/Tishrifield; nosecondclutchtocancelphase",
"evidence": [
"inherited/model/covenant_clutch_dependency_ledger.json",
"inherited/model/covenant_cumulative_regenerated.json"
]
}
},
{
"path": "model/relation_additional_source_conditions.json",
"sha256": "c248671ae7c423a070cea3b44a196e9ce3502850a9de2f3ce49bc66a453d678c",
"content": {
"conditions": [
{
"id": "postFlood_four_amplitude",
"relation": "EberdeltaL+NahordeltaL=u",
"values": "40+60=100",
"role": "fittedsource-valuecompression",
"evidence": "model/whole_genealogy_four_model.json"
},
{
"id": "regular_fivefold",
"relation": "C=13u/10 andT=3u/5",
"values": "130=1.3*100;60=.6*100",
"role": "cross-layercalibration",
"evidence": "model/regular_kernel_five_calibration.json"
},
{
"id": "SP_rectangle_openings",
"relation": "3C_radius−13R_radius=0",
"values": "unwrapped61 plus3*10−13*7=0",
"role": "sourceappointednode-openingscompleteequal-gainrelation",
"evidence": "model/SP_rectangle_wrapper_residual.json"
},
{
"id": "Moses_recapitulation",
"relation": "A=Adam_b andB=Adam_r",
"values": "130|800",
"role": "twocomponentcomparisonconditions;930totaldependent",
"evidence": "model/Moses_Adam_component_correspondence.json"
}
],
"interpretation": "Allareexactinthedeclaredsourcepacket. Noneisgeneratedbythegeneraloperationidentitiesalone.",
"independence": "Logicaladditionalconditions inadeclaredmodelarenotindependenthistoricalwitnesses."
}
}
],
"principle": "Compositionisassertedonlyforthespecifiedobjectsanddomains;universaldateconversionisnotinferred.",
"newness": "Thisledgerorganizescompletedproofsandtheirsourceapplications;itsentriesarenotnewindependentdiscoveries.",
"reader_notes": [
"An identity follows throughout its declared domain; a source condition adds information about the selected inputs.",
"A complete family reconstruction can reuse several identities while still requiring source ages, cuts and anchors.",
"The Regular fivefold calibration, SP wrapper balance and third Covenant join retain their additional source conditions.",
"Equal output totals alone do not identify full paths or their source roles."
]
}
},
{
"component": "Reconstruction_Ledger",
"path": "deliverables/490d_Reconstruction_Ledger_C1431.json",
"sha256": "fe53c713d71b56884d62fa0e9c949f47f00aed770fd2f7527080c07e8c05cab2",
"content": {
"purpose": "Complete bounded families, with source premises and information loss retained",
"entries": [
{
"id": "genealogy",
"path": "model/reconstruction_genealogy.json",
"sha256": "ed018bfaac62d3671f75b4a05b7ba2ca4c0ac967ef784e0714a5e385a4ad5071",
"reconstruction": {
"family": "Ordinary MT/SP/LXX genealogies",
"source_object": "58 native source rows with begetting and lifespan measures, retaining ordinary/inclusive qualifications",
"retained_premises": "Ordered selected rows, terminal, boundary bindings, native Cainan and named change supports",
"operation_route": "Ordinary row repartition and life adjustment → selected birth or lifespan measurement → ordered accumulation",
"complete_result": "38 matched MT/LXX changes; five amplitudes, or four after e+n=u; matched heads1250/430, native heads1380/890",
"conserved_or_changed": "A century can preserve lifespan or remainder according to its row operation; the full field retains location.",
"relation_used": "accumulation_linearity",
"additional_conditions": "e+n=u is fitted; fivefold calibration C=1.3u,T=.6u is separate.",
"information_loss": "Head totals alone lose the placement of internal changes.",
"evidence": [
"model/whole_genealogy_five_model.json",
"model/regular_kernel_complete_staircase.json",
"model/whole_genealogy_native_insertion.json"
],
"status": "Conditional full-family reconstruction and clarification"
}
},
{
"id": "SP_rectangle",
"path": "model/reconstruction_SP_rectangle.json",
"sha256": "dd41f7bc5f8672c7eba7c95dfba5fedc79d2b64af31a7c043988f7c3b11d059c",
"reconstruction": {
"family": "SP cap and equal-gain rectangle",
"source_object": "Native SP births, MT comparison lifespans, inclusive Flood capacity, source frames",
"retained_premises": "Flood cap uses 600+1; official Terah 145; standard MT frames 4114 and 14004; Conquest 1446; source wrappers 7 and 10",
"operation_route": "Accumulate native SP births → impose capacity → retain clipped loss → add post-Flood changes → construct framed radii → apply P and J",
"complete_result": {
"nine_cap_losses": [
0,
0,
0,
0,
0,
115,
0,
249,
124
],
"total_cap_loss": 488,
"postflood_loss": 120,
"radii": [
2760,
11960
],
"keyed_radii": [
2800,
12000
],
"source_nodes": [
4206,
13406
],
"keyed_anchor": 1406,
"keyed_gap": 9200,
"gap_after_E": 10000
},
"conserved_or_changed": "Both radii gain 40; their difference is retained until E expands it.",
"relation_used": "Cap loss identity; 3C=13R for equal P/J gains",
"additional_conditions": "Wrappers and source frames are retained premises; row mechanism alone does not choose them.",
"information_loss": "Capping loses excess lifespan; rounding can lose residuals separately.",
"evidence": [
"model/SP_rectangle_regular_provenance.json",
"model/SP_rectangle_cumulative_provenance.json",
"model/SP_rectangle_source_to_keys.json",
"model/SP_rectangle_wrapper_residual.json"
],
"status": "newconditionalmechanismorinterface"
}
},
{
"id": "Moses",
"path": "model/reconstruction_Moses.json",
"sha256": "c420972c9e9758da84117ad20e4cdf1f07206120d7a4efb0867cee2db7e07f0d",
"reconstruction": {
"family": "Rounded Moses-centred Regular path",
"source_object": "Ordered MT begetting ages followed by Jacob-to-Joseph and Entry-to-Moses event edges",
"retained_premises": "Terah 70, Cainan OFF, Shem +2 excluded; Moses 1526; late path 91,39,350",
"operation_route": "Round each edge to five → accumulate toward the fixed Moses coordinate → compare component blocks and cycle sums",
"complete_result": {
"nodes": 25,
"rounded_blocks": [
130,
490,
1030,
130,
800
],
"exact_blocks": [
130,
492,
1034,
129,
801
],
"head_exact": 4112,
"head_rounded": 4106,
"cycle_spans": [
2580,
2450,
1960
]
},
"conserved_or_changed": "The late 91+39 pair preserves its total as 90+40; rounding changes the whole path by six.",
"relation_used": "Suffix accumulation of edge residuals recovers all exact coordinates.",
"additional_conditions": "The 130 bridge is implied by the selected 430/490 cycles but does not select Moses without the whole path.",
"information_loss": "Dropping the edge residuals loses exact coordinates; rounding the total differs from accumulating rounded rows.",
"evidence": [
"model/Moses_MT_complete_path.json",
"model/Moses_five_source_blocks.json",
"model/Moses_complete_residual_recovery.json"
],
"status": "newconditionalmechanismorinterface"
}
},
{
"id": "inverse_Keys",
"path": "model/reconstruction_inverse_Keys.json",
"sha256": "eb327a417c974de93183961c143a14a4520908259905b1f1fe87ba27f1efad90",
"reconstruction": {
"family": "Single inverse and anchored Keys",
"source_object": "Four original duration words, three Regular and one Cumulative",
"retained_premises": "File52c event roles, original component partition, retained trailing zeros, declared whole Key, anchor and calendar chart",
"operation_route": "Original duration word → one reversal per original component → cumulative image path → declared anchored Key",
"complete_result": {
"regular_word_count": 3,
"regular_image_total": 14720,
"keyed_regular_total": 16000,
"cumulative_word": [
1400,
3430,
9170
]
},
"conserved_or_changed": "The three Regular images have equal totals but different proper prefixes; a uniform Key preserves their ratio geometry.",
"relation_used": "Uniform Key commutes with sum; component reversal depends on the source partition.",
"additional_conditions": "The Moses path supplies Creation and Noah coordinates; Nativity, Conquest and Flood roles remain separately sourced. Integer-stage conditions are retained.",
"information_loss": "Head totals erase proper prefixes; discarding the source partition erases the reversal prescription.",
"evidence": [
"model/Moses_inverse_source_word_match.json",
"model/Moses_inverse_retained_images.json",
"model/relation_inverse_partition.json",
"model/relation_affine_grid_domains.json"
],
"status": "newconditionalmechanismorinterface"
}
},
{
"id": "Covenant",
"path": "model/reconstruction_Covenant.json",
"sha256": "1ab6280a3ab747d854c10eafa409382ad4995d5171bb5c189c1b7becaa9138a4",
"reconstruction": {
"family": "Covenant local chronology and cumulative clutch",
"source_object": "Local event intervals, selected lifespans, Moses terminal, Covenant state and phase",
"retained_premises": "Minimal Covenant 1866; author-designated full Covenant 2081; ancestry shift 215; exact phase 7/2; qualified source statuses",
"operation_route": "Build local Regular events → stack six lifespans above Moses → solve Kohath-to-Levi-death shift → generate half and full clutch columns → add phase",
"complete_result": {
"minimum_spans": [
161,
299,
460
],
"key_radii": [
276,
299
],
"common_key_radius": 300,
"clutch": 14,
"half_clutch": 7,
"rows": 7,
"columns": 3,
"phases": 2
},
"conserved_or_changed": "Equal 137 lifespans force the second join after the first; translation preserves row intervals.",
"relation_used": "First join defines shift, second follows from equal lives, third requires Jacob 147=60+77+10.",
"additional_conditions": "The third join is a source relation, and 460 is the minimal Covenant-to-Conquest span only.",
"information_loss": "An endpoint-only description hides the complete seven-row translated field.",
"evidence": [
"model/primitive_Covenant_module.json",
"model/relation_Covenant_joins.json",
"prep/final_Covenant_claim_index.json"
],
"status": "inheritedcompleteproof"
}
},
{
"id": "counts_NT",
"path": "model/reconstruction_counts_NT.json",
"sha256": "eae46c6c59f94a47b3d15fde4488157b99aea612a12b07abca6966ed18551727",
"reconstruction": {
"family": "Esau, Tishri, Toledot and NT count families",
"source_object": "Source-labelled count cells, ordered lists and declared grouping maps",
"retained_premises": "Nine Esau counts; Tishri species/day incidence; eleven Toledot occurrences and ten-section grouping; NT chart slots and scale conditions",
"operation_route": "Preserve labels and multiplicity → accumulate or group → compare complete fields → test reflection only on compatible groups",
"complete_result": {
"NT_shared_births": 22,
"NT_comparison_edges": 21,
"SP_LXX_shared_birth_suffix": 10,
"hidden_suffix_lifespan_difference": 547,
"NT_knot_relation": "w=69u",
"NT_scale_condition": "35u=2450 gives u=70"
},
"conserved_or_changed": "Grouping preserves total count with multiplicity; reflection survives only if the groups support it.",
"relation_used": "Ordered prefix/suffix accumulation and compatible reflection",
"additional_conditions": "NT width equation leaves one scale free; separate placement fixes 70. Source birth equality does not imply Cumulative equality.",
"information_loss": "Grouping can hide occurrence positions and birth projection can hide lifespan differences.",
"evidence": [
"model/NT_complete_shared_birth_comparison.json",
"model/NT_complete_comparison_recurrence.json",
"model/NT_birth_projection_hidden_lives.json",
"model/relation_grouping_reflection.json",
"prep/final_count_family_claim_index.json"
],
"status": "newconditionalmechanismorinterface"
}
}
],
"title": "Complete-family reconstruction ledger",
"reader_notes": [
"Each entry retains its source premises, operation route, complete result, additional conditions and information loss.",
"Source bindings refer to the original completed models; editorial descriptions below do not alter those models."
]
}
}
],
"source_manifest": "evidence/SOURCE_MANIFEST.json"
}
Evidence
490d Four Part Grammar C1431.json
Linked sources and evidence
Edition and provenance
490d_Four_Part_Grammar_C1431.json
SHA-256 990396b25a18101a61b79e3855f170a988c69d76492d2f8861d0da136f827c16
C480–C1634/Research_Cycles/C1132_C1431_Recovered/deliverables/490d_Four_Part_Grammar_C1431.json