{
"title": "Frozen post-Flood source packet and bounded structural candidates",
"status": "FROZEN preparatory source/structure packet; no numbered actions; no canonical changes",
"created_utc": "2026-09-28T04:59:18.562796+00:00",
"strategy_read_in_full": {
"path": "/workspace/scratch/1b40da62dcbd/c932_c1131/evidence/sources/Strategy.md",
"sha256": "9c9aa357f5483b3af1dbb5f0025ee514fa28160576a037be03037aa49bf01476",
"bytes": 29743
},
"controlling_source": {
"path": "/workspace/scratch/1b40da62dcbd/project_sources/38-File_18.Chronological_Data_Tables-20260919-141048-.md",
"sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
"bytes": 221777
},
"scope": "Arphaxad-bound Shem through Terah with common Abraham terminal; MT native OFF, SP native OFF and official Terah145, LXX native ON plus explicitly derived OFF comparison. No upstream Gear execution.",
"questions_declared_before_derivation": [
{
"id": "PF_Q1",
"question": "Which exact b/L rows and state choices constitute all post-Flood families from Arphaxad-bound Shem through Terah, including native LXX Cainan and explicit OFF comparison?",
"kind": "source freeze"
},
{
"id": "PF_Q2",
"question": "Can a predeclared common-name support dictionary generate every SP and LXX-OFF b/L difference from the MT packet using shared amplitudes, with all exceptions visible?",
"kind": "fitted descriptive constraint candidate, not a holdout"
},
{
"id": "PF_Q3",
"question": "Which post-Flood source remainders are conserved or repeated, and which output lives could be withheld and recovered from those relational premises?",
"kind": "conditional reconstruction candidate"
},
{
"id": "PF_Q4",
"question": "Which mask/amplitude constraints are necessary, redundant or unidentified when one observes regular paths, cumulative paths or both?",
"kind": "unresolved whole-packet rank/identifiability task"
},
{
"id": "PF_Q5",
"question": "Does the fitted packet remain correct only in its declared Terah/Cainan states, and what explicit support changes are needed for admitted alternatives?",
"kind": "unresolved state-scope pressure test"
},
{
"id": "PF_Q6",
"question": "Which equalities merely restate C733–746 and C779–786, and which add an explicit source-constraint explanation beyond the C953–983 SP cap?",
"kind": "prior-work audit"
},
{
"id": "PF_Q7",
"question": "Can native Cainan be encoded as the same b/r/L vector as native LXX Shelah without confusing an added genealogy position with an independent numeric biography?",
"kind": "conditional duplicate-row information question"
},
{
"id": "PF_Q8",
"question": "Do the post-Flood data admit any source-controlled begetting-only lifespan generator analogous to the SP cap, or do lifespan amplitudes remain independent premises?",
"kind": "unresolved falsifiable generator question"
}
],
"literal_rows": {
"MT_native_OFF": [
{
"name": "Shem",
"birth_BC_literal": 2341,
"death_BC_literal": 1741,
"lifespan_literal_cell": "600",
"begetting_literal_cell": "100",
"b_selected": 100,
"L_selected": 600,
"r_derived": 500,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1244,
"raw": "| Shem | 2341 | 1741 | 600 | 100 |"
}
},
{
"name": "Arphaxad",
"birth_BC_literal": 2241,
"death_BC_literal": 1803,
"lifespan_literal_cell": "438",
"begetting_literal_cell": "35",
"b_selected": 35,
"L_selected": 438,
"r_derived": 403,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1245,
"raw": "| Arphaxad | 2241 | 1803 | 438 | 35 |"
}
},
{
"name": "Shelah",
"birth_BC_literal": 2206,
"death_BC_literal": 1773,
"lifespan_literal_cell": "433",
"begetting_literal_cell": "30",
"b_selected": 30,
"L_selected": 433,
"r_derived": 403,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1246,
"raw": "| Shelah | 2206 | 1773 | 433 | 30 |"
}
},
{
"name": "Eber",
"birth_BC_literal": 2176,
"death_BC_literal": 1712,
"lifespan_literal_cell": "464",
"begetting_literal_cell": "34",
"b_selected": 34,
"L_selected": 464,
"r_derived": 430,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1247,
"raw": "| Eber | 2176 | 1712 | 464 | 34 |"
}
},
{
"name": "Peleg",
"birth_BC_literal": 2142,
"death_BC_literal": 1903,
"lifespan_literal_cell": "239",
"begetting_literal_cell": "30",
"b_selected": 30,
"L_selected": 239,
"r_derived": 209,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1248,
"raw": "| Peleg | 2142 | 1903 | 239 | 30 |"
}
},
{
"name": "Reu",
"birth_BC_literal": 2112,
"death_BC_literal": 1873,
"lifespan_literal_cell": "239",
"begetting_literal_cell": "32",
"b_selected": 32,
"L_selected": 239,
"r_derived": 207,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1249,
"raw": "| Reu | 2112 | 1873 | 239 | 32 |"
}
},
{
"name": "Serug",
"birth_BC_literal": 2080,
"death_BC_literal": 1850,
"lifespan_literal_cell": "230",
"begetting_literal_cell": "30",
"b_selected": 30,
"L_selected": 230,
"r_derived": 200,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1250,
"raw": "| Serug | 2080 | 1850 | 230 | 30 |"
}
},
{
"name": "Nahor",
"birth_BC_literal": 2050,
"death_BC_literal": 1902,
"lifespan_literal_cell": "148",
"begetting_literal_cell": "29",
"b_selected": 29,
"L_selected": 148,
"r_derived": 119,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1251,
"raw": "| Nahor | 2050 | 1902 | 148 | 29 |"
}
},
{
"name": "Terah",
"birth_BC_literal": 2021,
"death_BC_literal": 1816,
"lifespan_literal_cell": "205",
"begetting_literal_cell": "70/130",
"b_selected": 70,
"L_selected": 205,
"r_derived": 135,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§2.2",
"line": 1252,
"raw": "| Terah | 2021 | 1816 | 205 | 70/130 |"
}
}
],
"SP_native_OFF_official145": [
{
"name": "Shem",
"birth_BC_literal": 2991,
"death_BC_literal": 2391,
"lifespan_literal_cell": "600",
"begetting_literal_cell": "100",
"b_selected": 100,
"L_selected": 600,
"r_derived": 500,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1600,
"raw": "| Shem — Arphaxad-bound | 2991 | 2391 | 600 | 100 |"
}
},
{
"name": "Arphaxad",
"birth_BC_literal": 2891,
"death_BC_literal": 2453,
"lifespan_literal_cell": "438",
"begetting_literal_cell": "135",
"b_selected": 135,
"L_selected": 438,
"r_derived": 303,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1601,
"raw": "| Arphaxad | 2891 | 2453 | 438 | 135 |"
}
},
{
"name": "Shelah",
"birth_BC_literal": 2756,
"death_BC_literal": 2323,
"lifespan_literal_cell": "433",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 433,
"r_derived": 303,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1602,
"raw": "| Shelah | 2756 | 2323 | 433 | 130 |"
}
},
{
"name": "Eber",
"birth_BC_literal": 2626,
"death_BC_literal": 2222,
"lifespan_literal_cell": "404",
"begetting_literal_cell": "134",
"b_selected": 134,
"L_selected": 404,
"r_derived": 270,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1603,
"raw": "| Eber | 2626 | 2222 | 404 | 134 |"
}
},
{
"name": "Peleg",
"birth_BC_literal": 2492,
"death_BC_literal": 2253,
"lifespan_literal_cell": "239",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 239,
"r_derived": 109,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1604,
"raw": "| Peleg | 2492 | 2253 | 239 | 130 |"
}
},
{
"name": "Reu",
"birth_BC_literal": 2362,
"death_BC_literal": 2123,
"lifespan_literal_cell": "239",
"begetting_literal_cell": "132",
"b_selected": 132,
"L_selected": 239,
"r_derived": 107,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1605,
"raw": "| Reu | 2362 | 2123 | 239 | 132 |"
}
},
{
"name": "Serug",
"birth_BC_literal": 2230,
"death_BC_literal": 2000,
"lifespan_literal_cell": "230",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 230,
"r_derived": 100,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1606,
"raw": "| Serug | 2230 | 2000 | 230 | 130 |"
}
},
{
"name": "Nahor",
"birth_BC_literal": 2100,
"death_BC_literal": 1952,
"lifespan_literal_cell": "148",
"begetting_literal_cell": "79",
"b_selected": 79,
"L_selected": 148,
"r_derived": 69,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1607,
"raw": "| Nahor | 2100 | 1952 | 148 | 79 |"
}
},
{
"name": "Terah",
"birth_BC_literal": 2021,
"death_BC_literal": 1876,
"lifespan_literal_cell": "145, or 205 ideal",
"begetting_literal_cell": "70",
"b_selected": 70,
"L_selected": 145,
"r_derived": 75,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan OFF",
"source": {
"section": "§3.2.1",
"line": 1608,
"raw": "| Terah | 2021 | 1876 | 145, or 205 ideal | 70 |"
}
}
],
"LXX_native_ON": [
{
"name": "Shem",
"birth_BC_literal": 3121,
"death_BC_literal": 2521,
"lifespan_literal_cell": "600",
"begetting_literal_cell": "100",
"b_selected": 100,
"L_selected": 600,
"r_derived": 500,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1716,
"raw": "| Shem | 3121 | 2521 | 600 | 100 |"
}
},
{
"name": "Arphaxad",
"birth_BC_literal": 3021,
"death_BC_literal": 2556,
"lifespan_literal_cell": "465",
"begetting_literal_cell": "135",
"b_selected": 135,
"L_selected": 465,
"r_derived": 330,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1717,
"raw": "| Arphaxad | 3021 | 2556 | 465 | 135 |"
}
},
{
"name": "2nd Cainan",
"birth_BC_literal": 2886,
"death_BC_literal": 2426,
"lifespan_literal_cell": "460",
"begetting_literal_cell": "130, LXX native",
"b_selected": 130,
"L_selected": 460,
"r_derived": 330,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1718,
"raw": "| 2nd Cainan | 2886 | 2426 | 460 | 130, LXX native |"
}
},
{
"name": "Shelah",
"birth_BC_literal": 2756,
"death_BC_literal": 2296,
"lifespan_literal_cell": "460",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 460,
"r_derived": 330,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1719,
"raw": "| Shelah | 2756 | 2296 | 460 | 130 |"
}
},
{
"name": "Eber",
"birth_BC_literal": 2626,
"death_BC_literal": 2122,
"lifespan_literal_cell": "504",
"begetting_literal_cell": "134",
"b_selected": 134,
"L_selected": 504,
"r_derived": 370,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1720,
"raw": "| Eber | 2626 | 2122 | 504 | 134 |"
}
},
{
"name": "Peleg",
"birth_BC_literal": 2492,
"death_BC_literal": 2153,
"lifespan_literal_cell": "339",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 339,
"r_derived": 209,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1721,
"raw": "| Peleg | 2492 | 2153 | 339 | 130 |"
}
},
{
"name": "Reu",
"birth_BC_literal": 2362,
"death_BC_literal": 2023,
"lifespan_literal_cell": "339",
"begetting_literal_cell": "132",
"b_selected": 132,
"L_selected": 339,
"r_derived": 207,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1722,
"raw": "| Reu | 2362 | 2023 | 339 | 132 |"
}
},
{
"name": "Serug",
"birth_BC_literal": 2230,
"death_BC_literal": 1900,
"lifespan_literal_cell": "330",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 330,
"r_derived": 200,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1723,
"raw": "| Serug | 2230 | 1900 | 330 | 130 |"
}
},
{
"name": "Nahor",
"birth_BC_literal": 2100,
"death_BC_literal": 1892,
"lifespan_literal_cell": "208",
"begetting_literal_cell": "79",
"b_selected": 79,
"L_selected": 208,
"r_derived": 129,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1724,
"raw": "| Nahor | 2100 | 1892 | 208 | 79 |"
}
},
{
"name": "Terah",
"birth_BC_literal": 2021,
"death_BC_literal": 1816,
"lifespan_literal_cell": "205",
"begetting_literal_cell": "70/130 state-dependent",
"b_selected": 70,
"L_selected": 205,
"r_derived": 135,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "minimum, no +60 Terah; native Cainan ON",
"source": {
"section": "§4.2",
"line": 1725,
"raw": "| Terah | 2021 | 1816 | 205 | 70/130 state-dependent |"
}
}
]
},
"LXX_OFF_derived_comparison_rows": [
{
"name": "Shem",
"birth_BC_literal": 3121,
"death_BC_literal": 2521,
"lifespan_literal_cell": "600",
"begetting_literal_cell": "100",
"b_selected": 100,
"L_selected": 600,
"r_derived": 500,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1716,
"raw": "| Shem | 3121 | 2521 | 600 | 100 |"
},
"regular_BC_prefix_subtraction": 130,
"birth_BC_derived": 2991,
"death_BC_derived": 2391
},
{
"name": "Arphaxad",
"birth_BC_literal": 3021,
"death_BC_literal": 2556,
"lifespan_literal_cell": "465",
"begetting_literal_cell": "135",
"b_selected": 135,
"L_selected": 465,
"r_derived": 330,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1717,
"raw": "| Arphaxad | 3021 | 2556 | 465 | 135 |"
},
"regular_BC_prefix_subtraction": 130,
"birth_BC_derived": 2891,
"death_BC_derived": 2426
},
{
"name": "Shelah",
"birth_BC_literal": 2756,
"death_BC_literal": 2296,
"lifespan_literal_cell": "460",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 460,
"r_derived": 330,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1719,
"raw": "| Shelah | 2756 | 2296 | 460 | 130 |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2756,
"death_BC_derived": 2296
},
{
"name": "Eber",
"birth_BC_literal": 2626,
"death_BC_literal": 2122,
"lifespan_literal_cell": "504",
"begetting_literal_cell": "134",
"b_selected": 134,
"L_selected": 504,
"r_derived": 370,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1720,
"raw": "| Eber | 2626 | 2122 | 504 | 134 |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2626,
"death_BC_derived": 2122
},
{
"name": "Peleg",
"birth_BC_literal": 2492,
"death_BC_literal": 2153,
"lifespan_literal_cell": "339",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 339,
"r_derived": 209,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1721,
"raw": "| Peleg | 2492 | 2153 | 339 | 130 |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2492,
"death_BC_derived": 2153
},
{
"name": "Reu",
"birth_BC_literal": 2362,
"death_BC_literal": 2023,
"lifespan_literal_cell": "339",
"begetting_literal_cell": "132",
"b_selected": 132,
"L_selected": 339,
"r_derived": 207,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1722,
"raw": "| Reu | 2362 | 2023 | 339 | 132 |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2362,
"death_BC_derived": 2023
},
{
"name": "Serug",
"birth_BC_literal": 2230,
"death_BC_literal": 1900,
"lifespan_literal_cell": "330",
"begetting_literal_cell": "130",
"b_selected": 130,
"L_selected": 330,
"r_derived": 200,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1723,
"raw": "| Serug | 2230 | 1900 | 330 | 130 |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2230,
"death_BC_derived": 1900
},
{
"name": "Nahor",
"birth_BC_literal": 2100,
"death_BC_literal": 1892,
"lifespan_literal_cell": "208",
"begetting_literal_cell": "79",
"b_selected": 79,
"L_selected": 208,
"r_derived": 129,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1724,
"raw": "| Nahor | 2100 | 1892 | 208 | 79 |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2100,
"death_BC_derived": 1892
},
{
"name": "Terah",
"birth_BC_literal": 2021,
"death_BC_literal": 1816,
"lifespan_literal_cell": "205",
"begetting_literal_cell": "70/130 state-dependent",
"b_selected": 70,
"L_selected": 205,
"r_derived": 135,
"r_status": "calculated L minus selected b; not independently quoted manuscript remainder",
"row_state": "derived native-LXX Cainan OFF comparison; all other local b/L selections retained",
"source": {
"section": "§4.2",
"line": 1725,
"raw": "| Terah | 2021 | 1816 | 205 | 70/130 state-dependent |"
},
"regular_BC_prefix_subtraction": 0,
"birth_BC_derived": 2021,
"death_BC_derived": 1816
}
],
"terminal_rows": {
"regular_Abraham": {
"birth_BC": 1951,
"death_BC": 1776,
"L": 175,
"locator": "§2.3 line1291; §3.2.1 line1609; §4.3 adopts MT minimum suffix"
},
"cumulative_Abraham": {
"Moses_Nisan_boundary_BC": 2435,
"L": 175,
"locator": "§6A line1956",
"raw": "| Abraham | 175 | 2435 BC | 2438.5 BC | 2440–2433 BC | 989 to Exodus |"
}
},
"literal_source_excerpts": [
{
"section": "§1.6",
"line_start": 1118,
"line_end": 1158,
"text": "Active states:\nRegular restored 2nd Cainan and cumulative restored 2nd Cainan.\n\nThe 2nd Cainan, Luke 3:36 and LXX Genesis 11:12–13, is native to LXX and intentionally omitted from MT / SP. When restoring Cainan to MT / SP, the adjustment value depends on the chronological method used.\n\n#### 1.6.1 Why two different values\n\n| Method | What is added | Cainan's value | Basis |\n|---|---|---:|---|\n| Regular | Begetting ages | +130 years | Age when Shelah was born. |\n| Cumulative | Full lifespans | +460 years | Total years lived. |\n\nThis is a general principle applying to all patriarchs, not a value unique to Cainan.\n\n| Patriarch | Begetting age | Lifespan | Difference |\n|---|---:|---:|---:|\n| 2nd Cainan | 130 | 460 | 330 |\n| Shelah | 130 | 460 | 330 |\n| Eber | 134 | 504 | 370 |\n| etc. | — | — | — |\n\n#### 1.6.2 Application by tradition\n\n| Tradition / method | Handling |\n|---|---|\n| LXX Regular | Cainan is already in the baseline. `5279 BC` Adam minimum includes his `130` begetting years. No adjustment is needed. |\n| MT / SP Regular | To restore Cainan, insert 2nd Cainan by adding the `+130` begetting-age hinge between Arphaxad and Shelah. Shelah and the downstream Terah field remain four-position; Arphaxad / Flood through Adam shift by `+130` and become eight-position where the restored-Cainan state is explicitly opened. MT with Cainan: `3899 + 130 = 4029 BC`. SP with Cainan: `4199 + 130 = 4329 BC`. |\n| LXX Cumulative | Cainan is already in the baseline. His `460`-year lifespan is included in the chain. No adjustment is needed. |\n| MT / SP Cumulative | To restore Cainan, insert the `+460` lifespan hinge between Arphaxad and Shelah. In the cumulative table this shifts Adam through Arphaxad / Flood by `+460`; Shelah and downstream rows remain unchanged. MT cumulative with Cainan: `14006 + 460 = 14466 BC`, Moses line center. |\n| LXX theoretical removal | LXX could have Cainan removed: `5279 − 130 = 5149 BC`, Regular. This is not tracked in standard tables but remains architecturally valid. |\n\nAI-processing rules:\n\n| Rule | Handling |\n|---|---|\n| Regular chronology | Cainan = `+130` years, begetting age. |\n| Cumulative chronology | Cainan = `+460` years, full lifespan. |\n| LXX | Cainan already included; no adjustment. |\n| MT / SP | Add the appropriate value to restore Cainan. |\n| Method distinction | The `130` / `460` difference reflects method, not variant ambiguity. |\n"
},
{
"section": "§2.2",
"line_start": 1240,
"line_end": 1252,
"text": "### 2.2 Post-Flood to Patriarchs: MT Minimum-Regular\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Shem | 2341 | 1741 | 600 | 100 |\n| Arphaxad | 2241 | 1803 | 438 | 35 |\n| Shelah | 2206 | 1773 | 433 | 30 |\n| Eber | 2176 | 1712 | 464 | 34 |\n| Peleg | 2142 | 1903 | 239 | 30 |\n| Reu | 2112 | 1873 | 239 | 32 |\n| Serug | 2080 | 1850 | 230 | 30 |\n| Nahor | 2050 | 1902 | 148 | 29 |\n| Terah | 2021 | 1816 | 205 | 70/130 |"
},
{
"section": "§2.2.1",
"line_start": 1254,
"line_end": 1283,
"text": "#### 2.2.1 Noah and Shem `±2` anomaly\n\nActive state:\nRegular-localized Shem `±2`.\n\nGenesis 11:10 supplies the two-year distinction used in the regular Noah/Shem binding comparisons. This localized comparison permission does not restrict ordinary coherent Gear transport of the Flood; see §3.1.4. In Cumulative chronology, the `±2` propagates through the chain; see §6 and `File_02`.\n\n| Patriarch | Literal, in table | Idealistic `±2` | Source direction label |\n|---|---|---|---|\n| Noah | 2843–1893 BC | 2841–1891 BC | Earlier |\n| Shem | 2341–1741 BC | 2343–1743 BC | Later |\n\nThe literal dates represent the minimum baseline. The idealistic dates represent the alternative reading of Genesis 11:10. Both are valid.\n\nFor LXX, retain the independently sourced `±2` comparisons at its own native-Cainan positions:\n\n| Tradition | Patriarch | Literal | Idealistic `±2` |\n|---|---|---|---|\n| LXX | Noah | 3623–2673 BC | 3621–2671 BC |\n| LXX | Shem | 3121–2521 BC | 3123–2523 BC |\n\nThe corrected SP field additionally has a local one-year companion. Its native-frame G2 pairs are:\n\n| SP person | G2 primary biography | G2 lower-companion biography |\n|---|---|---|\n| Noah | 3493–2543 BC | 3492–2542 BC |\n| Shem | 2993–2393 BC | 2992–2392 BC |\n\nThese columns differ by one year and must not be labelled `±2`. The ordinary SP G1 Shem biography `2991–2391` remains the displayed Arphaxad-bound row, distinct from G2 `2993–2393` by two years. §3.2.1 gives all three Gears and the named bindings. MT and LXX do not inherit this SP-only adjacent rail.\n"
},
{
"section": "§2.3",
"line_start": 1287,
"line_end": 1297,
"text": "### 2.3 Patriarchal period: MT Minimum-Regular; `±215` fork begins\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Key events |\n|---|---:|---:|---:|---|\n| Abraham | 1951 | 1776 | 175 | Call `1876 BC`; `+215 → 2091`. |\n| Sarah | 1941 | 1814 | 127 | — |\n| Isaac | 1851 | 1671 | 180 | — |\n| Jacob | 1791 | 1644 | 147 | Entry `1661 BC`; `+215 → 1876`. |\n| Joseph | 1700 | 1590 | 110 | Stood before Pharaoh at age 30, Gen 41:46. |\n| Levi | 1704 | 1567 | 137 | Last patriarch death before fixed epoch. |\n"
},
{
"section": "§§3.2–3.2.2",
"line_start": 1567,
"line_end": 1637,
"text": "### 3.2 Post-Flood to Patriarchs: SP Minimum / Arphaxad-bound suffix\n\nAt the held native settings, G2 Flood start `2893` is two ordinary years before fixed Arphaxad `2891`. Flood close `2892` is the intervening boundary. No SP companion operator acts on Arphaxad or the subsequent regular rows.\n\n#### 3.2.1 SP Noah/Shem field and named bindings\n\nEach slash-pair below is ordered primary / lower companion. The companion is one year farther forward in time. The rows display ordinary Gear combined with SP-local person-station adjacency; they are not six independently attested source states or a new unrestricted execution generator.\n\n| Gear | Noah birth | Noah death | Shem birth | Shem death |\n|---|---|---|---|---|\n| G1 | 3491/3490 | 2541/2540 | 2991/2990 | 2391/2390 |\n| G2 | 3493/3492 | 2543/2542 | 2993/2992 | 2393/2392 |\n| G3 | 3495/3494 | 2545/2544 | 2995/2994 | 2395/2394 |\n\nAdd `215` for the reports’ equalized dates. Noah’s primary death column carries the inclusive/harmonic qualification and the lower column the ordinary-companion qualification. Matched birth/death endpoints preserve Noah `950` and Shem `600`; matched Noah/Shem births preserve `500`. The mixed G2 companion-Noah / primary-Shem path is `3492−2993=499`, the ordinal 500th-year alternative.\n\nThe native G2 post-Flood spans are `2893−2543=350` and `2892−2542=350`. The second uses Flood close and Noah’s companion death; it does not type the Flood close as a companion. The cross-pair `2893−2542=351` is not an unqualified `350`.\n\nThe following bindings preserve the prior usable stations while making their Gears explicit:\n\n| Shem station / binding | Birth BC | Death BC | Qualified relation |\n|---|---:|---:|---|\n| G2 primary, Noah/Flood comparison | 2993 | 2393 | G2 primary Noah `3493−500=2993`; `2993−100=2893`, Flood start. |\n| G2 companion, Noah/Flood comparison | 2992 | 2392 | G2 companion Noah `3492−500=2992`; ordinal `2992−99=2893`, Flood start. |\n| G1 primary, Arphaxad-bound | 2991 | 2391 | `2991−100=2891`, fixed Arphaxad; also `3493−502=2991` from G2 primary Noah. |\n| G1 companion, Noah-bound comparison | 2990 | 2390 | `3492−502=2990` from G2 companion Noah; it does not replace the full-100 Arphaxad-bound row. |\n\nG2 primary Shem `2993` is `102` from fixed Arphaxad `2891`. These comparisons retain their endpoint roles and bindings. Noah/Shem alone have the full qualified cross-Gear endpoint-comparison permission in this domain; other patriarchs retain coherent-Gear biographies. Qualified Noah↔Flood comparisons are allowed, while the Flood remains an event start/close structure.\n\nThe post-Flood begetting table selects the G1 primary / Arphaxad-bound Shem row:\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Shem — Arphaxad-bound | 2991 | 2391 | 600 | 100 |\n| Arphaxad | 2891 | 2453 | 438 | 135 |\n| Shelah | 2756 | 2323 | 433 | 130 |\n| Eber | 2626 | 2222 | 404 | 134 |\n| Peleg | 2492 | 2253 | 239 | 130 |\n| Reu | 2362 | 2123 | 239 | 132 |\n| Serug | 2230 | 2000 | 230 | 130 |\n| Nahor | 2100 | 1952 | 148 | 79 |\n| Terah | 2021 | 1876 | 145, or 205 ideal | 70 |\n| Abraham | 1951 | 1776 | 175 | — |\n\nArithmetic verification, Arphaxad-bound standard intervals:\n\n| Row | Verification |\n|---|---|\n| Shem | `2991−100=2891`, Arphaxad. |\n| Arphaxad | `2891−135=2756`, Shelah. |\n| Shelah | `2756−130=2626`, Eber. |\n| Eber | `2626−134=2492`, Peleg. |\n| Peleg | `2492−130=2362`, Reu. |\n| Reu | `2362−132=2230`, Serug. |\n| Serug | `2230−130=2100`, Nahor. |\n| Nahor | `2100−79=2021`, Terah. |\n| Terah | `2021−70=1951`, Abraham. |\n\nConvergence note:\nSP Abraham, `1951 BC`, matches MT Minimum-Regular Abraham, `1951 BC`.\n\n#### 3.2.2 Terah Dual-Lock: `145` versus `205`\n\nIn the SP post-Flood timeline, Terah functions as a dual-harmonic pivot.\n\n| State | Lifespan | Target |\n|---|---:|---|\n| Textual / Normal | 145 years | Death at `1876 BC`. |\n| Architectural / Ideal | 205 years | Mirrors MT and enables the 1000-year harmonic from Arphaxad's birth to Abraham's birth, `100 + 1000 + 100`. |\n\nBoth values target Abraham's birth at `1951 BC` and Terah's death at `1876 BC`. The SP text officially contracts Terah's lifespan, `205 → 145`, to land his death on Abram's call at age `75`. Architecturally, however, the `205` state remains visible: the SP has not eliminated the Terah problem so much as shifted it from begetting-age tension to lifespan tension. Therefore the SP `+60 Terah` possibility remains state-valid where opened, while SP cumulative tables retain the official `145` span."
},
{
"section": "§4.2",
"line_start": 1712,
"line_end": 1734,
"text": "### 4.2 Post-Flood to Patriarchs: LXX Regular-Minimum\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Shem | 3121 | 2521 | 600 | 100 |\n| Arphaxad | 3021 | 2556 | 465 | 135 |\n| 2nd Cainan | 2886 | 2426 | 460 | 130, LXX native |\n| Shelah | 2756 | 2296 | 460 | 130 |\n| Eber | 2626 | 2122 | 504 | 134 |\n| Peleg | 2492 | 2153 | 339 | 130 |\n| Reu | 2362 | 2023 | 339 | 132 |\n| Serug | 2230 | 1900 | 330 | 130 |\n| Nahor | 2100 | 1892 | 208 | 79 |\n| Terah | 2021 | 1816 | 205 | 70/130 state-dependent |\n\nNote:\nThe Terah / Abraham relation is resolved by the author-clarified four-position field. The displayed LXX Regular-Minimum Terah row, `2021–1816 BC`, is the no-`+60 Terah`, no-`+215 Sojourn` minimum row. In that state, Terah begets Abraham at `70`, producing Abraham `1951 BC`. When `+60 Terah` is active, Terah shifts to `2081–1876 BC`; the `130` begetting-state then also produces Abraham `1951 BC`. With the `+215 Sojourn` state active, the corresponding pair is `2236–2031 BC` with begetting-state `70`, producing Abraham `2166 BC`, and `2296–2091 BC` with begetting-state `130`, also producing Abraham `2166 BC`.\n\nTherefore Abraham has two birth states, `1951 BC` and `2166 BC`, while Terah has four birth/death states.\n\nAuthor-confirmed LXX table correction (September 2026): the former §4.2 Peleg/Reu/Serug lifespan cells `239/239/230` were copy errors, not manuscript variants. The controlling LXX Regular-Minimum values are `339/339/330`; births remain `2492/2362/2230 BC`, so the corrected deaths are `2153/2023/1900 BC`. Begetting ages remain `130/132/130`. This correction is independent of the Lamech `182/753` source hierarchy.\n\nSee MT §2.2.1 for `±2` anomaly details at tradition-specific dates."
},
{
"section": "§6A post-Flood trunk",
"line_start": 1944,
"line_end": 1962,
"text": "| Noah | 950 | 6381 BC | 6384.5 BC | 6386–6379 BC | — |\n| Shem | 600 | 5431 BC | 5434.5 BC | 5436–5429 BC | 480 + 120 structure |\n| Ark Warning | 120 | 4951 BC | 4954.5 BC | 4956–4949 BC | Upper `4956` → Moses birth = 3430 |\n| The Flood | — | 4831 BC | 4834.5 BC | 4836–4829 BC | Upper `4836` → Conquest = 3430 |\n| Arphaxad | 438 | 4831 BC | 4834.5 BC | 4836–4829 BC | Born 2 years after Flood |\n| Shelah | 433 | 4393 BC | 4396.5 BC | 4398–4391 BC | — |\n| Eber | 464 | 3960 BC | 3963.5 BC | 3965–3958 BC | — |\n| Peleg | 239 | 3496 BC | 3499.5 BC | 3501–3494 BC | Author-clarified: Nisan envelope `3501n–3494n BC`; parallel Tishri envelope `3502t–3495t BC`; `3495t → AD 1406t = 4900` by File_09 Mirror suffix inversion. |\n| Reu | 239 | 3257 BC | 3260.5 BC | 3262–3255 BC | — |\n| Serug | 230 | 3018 BC | 3021.5 BC | 3023–3016 BC | Lower `3016` → `7 × 230` |\n| Nahor | 148 | 2788 BC | 2791.5 BC | 2793–2786 BC | Lower `2786` → `6 × 230` |\n| Terah | 205 | 2640 BC | 2643.5 BC | 2645–2638 BC | — |\n| Abraham | 175 | 2435 BC | 2438.5 BC | 2440–2433 BC | 989 to Exodus |\n| Isaac | 180 | 2260 BC | 2263.5 BC | 2265–2258 BC | — |\n| Jacob | 147 | 2080 BC | 2083.5 BC | 2085–2078 BC | — |\n| Levi | 137 | 1933 BC | 1936.5 BC | 1938–1931 BC | Tribal Descent, `12 × 130` |\n| Kohath | 133 | 1796 BC | 1799.5 BC | 1801–1794 BC | — |\n| Amram | 137 | 1663 BC | 1666.5 BC | 1668–1661 BC | Lower `1661` = 215 Entry |\n| Moses | 120 | 1526 BC | 1529.5 BC | 1531–1524 BC | — |"
},
{
"section": "§6C",
"line_start": 2009,
"line_end": 2031,
"text": "### 6C. SP Cumulative Chronology\n\nActive state:\nSP cumulative chronology.\n\nAnchor:\nDeath of Joshua = `1296 BC`, SP tradition, 110 years.\n\nScalar:\n`12100 = 110 × 110` years to Creation, lower bound.\n\nLogic:\nUses SP lifespans, including Terah 145 and Lamech 653.\n\n| Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start – end | Harmonic lock |\n|---|---:|---:|---|---|\n| Adam | 930 | 13398 BC | 13403–13396 BC | Lower `13396` → Joshua = `110²` |\n| Ark Warning | 120 | 4831 BC | 4836–4829 BC | Matches MT Flood |\n| Flood | — | 4711 BC | 4716–4709 BC | 120 years after MT Flood |\n| Peleg | 239 | 3436 BC | 3441–3434 BC | 70 Jubilees to Christ, 6 BC |\n| Terah | 145 | 2580 BC | 2585–2578 BC | SP specific, 145 |\n| Joshua | 110 | 1406 BC | 1411–1404 BC | Conquest |\n| Death | — | 1296 BC | — | Target |"
},
{
"section": "§6D",
"line_start": 2048,
"line_end": 2076,
"text": "### 6D. LXX Cumulative Chronology\n\nActive state:\nLXX cumulative chronology.\n\nAnchor:\nConquest / Moses Death = `1406 BC`.\n\nLogic:\nUses LXX lifespans, including Lamech's attested/transmitted `753`, retained as the author-preferred original LXX lifespan in agreement with Regular execution (§4A.1), and Nahor `208`. Includes 2nd Cainan. The former main-table overlay is preserved separately in Appendix B.2; all main-chain values remain unchanged.\n\n| Patriarch | Lifespan | Moses Line, Nisan | 7-year span, start – end | Note |\n|---|---:|---:|---|---|\n| Adam | 930 | 14896 BC | 14901–14894 BC | — |\n| Lamech, chain | 753 | 8048 BC | 8053–8046 BC | Flood chief marker: the death of Methuselah |\n| Flood | — | 5745 BC | 5750–5743 BC | — |\n| Cainan | 460 | 5280 BC | 5285–5278 BC | Includes 2nd Cainan |\n| Peleg | 339 | 3856 BC | 3861–3854 BC | `3856 BC` = BJ / Jubilees Creation |\n| Conquest | — | 1406 BC | — | Target |\n\nAppendix routing:\nThe `777` cumulative overlay formerly printed here is preserved in Appendix B.2. It shares the Noah endpoint with the `753` chain and must not propagate upward. The LXX Flood's chief cumulative marker remains the death of Methuselah, matching the selected regular `187/182` alignment. The `14901 − 1446 = 13455 = 299 × 45` lock (File_56 dependency) and all main §6D coordinates remain unchanged.\n\n`430`-alignment justification state (bounded addition):\nLeveling the MT with the LXX by restoring Cainan (`+460`, §6B), the two cumulative chronologies differ by exactly `430` from Lamech back to Adam (`14896 − 14466`), but only with Lamech at `753`: the accumulated difference below him is `454`, and his `−24` trims it to Ezekiel's figure, carried unbroken to the head (`8048 − 7618 = 430` at Lamech). The four Adam heads — each tradition with and without Cainan: `14896 / 14466 / 14436 / 14006 BC` — read `430 + 30 + 430` (the Adam field; narrative at `File_22` / `File_46` §6A.5). Claim-status: arithmetic fact; the functional-choice reading is structural inference.\n\nFlood-marker convention set (bounded addition):\nMT cumulative — dual marking (death of Methuselah; birth of Arphaxad two years after; §6A). LXX cumulative — chief marker the death of Methuselah. SP cumulative — death-side marker unassigned, since Jared, Methuselah, and Lamech all die in the Flood year (§3); the Arphaxad marker stands universally. Claim-status: author-declared convention over textual data.\n"
}
],
"convention_guards": [
"File18 prints b and L; all packet remainders are derived unless separately quoted as repository differences in §1.6.1. They are not new manuscript attestations.",
"Select each tradition's Arphaxad-bound Shem: MT2341→2241, SP2991→2891, LXX3121→3021. Each selected edge is100. Noah-bound Shem differs by2; do not substitute it without the named binding.",
"At the selected native states, Noah-to-Arphaxad-bound-Shem effective interval is502 despite the Noah500 ledger. This boundary lies outside the post-Flood row block and is not an extra post-Flood begetting.",
"SP Noah/Shem −1 companions do not propagate into Arphaxad or the suffix. No Gear operator is executed by this packet.",
"Native LXX Cainan is already present. OFF removal deletes that row and subtracts130 from the regular prefix or460 from the cumulative prefix; it is a derived comparison, not a second subtraction from an already-OFF table.",
"MT/LXX selected Terah is b70,L205,r135. The distinct +60 state is b130,L205,r75; the source row supplies70/130 state-dependently.",
"SP selected Terah is b70,L145,r75 at2021→1876. Ideal205 is a distinct source-authorized state. Keeping birth2021 would place death1816; keeping death1876 withL205 requires birth2081 and b130 to Abraham1951. The latter coherent comparison is inherited C779–780, not a new literal row.",
"LXX Peleg/Reu/Serug339/339/330 and death2153/2023/1900 are the September2026 corrected cells;239/239/230 were copy errors, not admitted LXX alternatives.",
"Cumulative coordinates below are generated boundaries, not historical regular births or independently printed File18 rows. Source literal checkpoints are checked separately.",
"Flood labels retain File18 §6D convention: MT dual marker, LXX chief marker Methuselah death, SP death-side unassigned and universal Arphaxad marker. Equal labels do not merge node classes."
],
"derived_complete_row_differences": [
{
"name": "Shem",
"SP_minus_MT": {
"delta_b": 0,
"delta_L": 0,
"delta_r": 0
},
"LXX_OFF_minus_MT": {
"delta_b": 0,
"delta_L": 0,
"delta_r": 0
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 0,
"delta_r": 0
}
},
{
"name": "Arphaxad",
"SP_minus_MT": {
"delta_b": 100,
"delta_L": 0,
"delta_r": -100
},
"LXX_OFF_minus_MT": {
"delta_b": 100,
"delta_L": 27,
"delta_r": -73
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 27,
"delta_r": 27
}
},
{
"name": "Shelah",
"SP_minus_MT": {
"delta_b": 100,
"delta_L": 0,
"delta_r": -100
},
"LXX_OFF_minus_MT": {
"delta_b": 100,
"delta_L": 27,
"delta_r": -73
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 27,
"delta_r": 27
}
},
{
"name": "Eber",
"SP_minus_MT": {
"delta_b": 100,
"delta_L": -60,
"delta_r": -160
},
"LXX_OFF_minus_MT": {
"delta_b": 100,
"delta_L": 40,
"delta_r": -60
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 100,
"delta_r": 100
}
},
{
"name": "Peleg",
"SP_minus_MT": {
"delta_b": 100,
"delta_L": 0,
"delta_r": -100
},
"LXX_OFF_minus_MT": {
"delta_b": 100,
"delta_L": 100,
"delta_r": 0
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 100,
"delta_r": 100
}
},
{
"name": "Reu",
"SP_minus_MT": {
"delta_b": 100,
"delta_L": 0,
"delta_r": -100
},
"LXX_OFF_minus_MT": {
"delta_b": 100,
"delta_L": 100,
"delta_r": 0
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 100,
"delta_r": 100
}
},
{
"name": "Serug",
"SP_minus_MT": {
"delta_b": 100,
"delta_L": 0,
"delta_r": -100
},
"LXX_OFF_minus_MT": {
"delta_b": 100,
"delta_L": 100,
"delta_r": 0
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 100,
"delta_r": 100
}
},
{
"name": "Nahor",
"SP_minus_MT": {
"delta_b": 50,
"delta_L": 0,
"delta_r": -50
},
"LXX_OFF_minus_MT": {
"delta_b": 50,
"delta_L": 60,
"delta_r": 10
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 60,
"delta_r": 60
}
},
{
"name": "Terah",
"SP_minus_MT": {
"delta_b": 0,
"delta_L": -60,
"delta_r": -60
},
"LXX_OFF_minus_MT": {
"delta_b": 0,
"delta_L": 0,
"delta_r": 0
},
"LXX_OFF_minus_SP": {
"delta_b": 0,
"delta_L": 60,
"delta_r": 60
}
}
],
"derived_cumulative_postflood_boundaries": {
"status": "inherited source-only reconstruction; validation only, not a new numbered result",
"anchor_BC": 2435,
"fields": {
"MT": {
"Shem": 5431,
"Arphaxad": 4831,
"Shelah": 4393,
"Eber": 3960,
"Peleg": 3496,
"Reu": 3257,
"Serug": 3018,
"Nahor": 2788,
"Terah": 2640,
"Abraham": 2435
},
"SP": {
"Shem": 5311,
"Arphaxad": 4711,
"Shelah": 4273,
"Eber": 3840,
"Peleg": 3436,
"Reu": 3197,
"Serug": 2958,
"Nahor": 2728,
"Terah": 2580,
"Abraham": 2435
},
"LXX_native": {
"Shem": 6345,
"Arphaxad": 5745,
"2nd Cainan": 5280,
"Shelah": 4820,
"Eber": 4360,
"Peleg": 3856,
"Reu": 3517,
"Serug": 3178,
"Nahor": 2848,
"Terah": 2640,
"Abraham": 2435
},
"LXX_OFF": {
"Shem": 5885,
"Arphaxad": 5285,
"Shelah": 4820,
"Eber": 4360,
"Peleg": 3856,
"Reu": 3517,
"Serug": 3178,
"Nahor": 2848,
"Terah": 2640,
"Abraham": 2435
}
}
},
"candidate_source_constraint_dictionary": {
"claim_level": "fitted complete-packet compression candidate; source-derived masks count as premises; not a historical redaction theorem or untested prediction",
"held_baseline": "all nine MT b/L rows and named row identities",
"amplitudes": {
"u_century": 100,
"t_sixty": 60,
"a_early_lifespan": 27
},
"begetting_rule": "SP and LXX_OFF: b=b_MT+u on {Arphaxad,Shelah,Eber,Peleg,Reu,Serug}; b=b_MT+u/2 atNahor; unchanged atShem/Terah.",
"SP_lifespan_rule": "L=L_MT−t on {Eber,Terah}; unchanged elsewhere.",
"LXX_OFF_lifespan_rule": "L=L_MT+a on {Arphaxad,Shelah}; L=L_MT+u−t atEber; L=L_MT+u on {Peleg,Reu,Serug}; L=L_MT+t atNahor; unchanged atShem/Terah.",
"native_Cainan_rule": "Insert one labelled row with(b,L)=(130,460), numerically equal to native LXX Shelah. Replacing those two numeric inputs by a same-row constraint is a proposed compression only; insertion location and existence remain separate premises.",
"generated_outputs": [
{
"name": "Shem",
"SP": {
"b": 100,
"L": 600
},
"LXX_OFF": {
"b": 100,
"L": 600
}
},
{
"name": "Arphaxad",
"SP": {
"b": 135,
"L": 438
},
"LXX_OFF": {
"b": 135,
"L": 465
}
},
{
"name": "Shelah",
"SP": {
"b": 130,
"L": 433
},
"LXX_OFF": {
"b": 130,
"L": 460
}
},
{
"name": "Eber",
"SP": {
"b": 134,
"L": 404
},
"LXX_OFF": {
"b": 134,
"L": 504
}
},
{
"name": "Peleg",
"SP": {
"b": 130,
"L": 239
},
"LXX_OFF": {
"b": 130,
"L": 339
}
},
{
"name": "Reu",
"SP": {
"b": 132,
"L": 239
},
"LXX_OFF": {
"b": 132,
"L": 339
}
},
{
"name": "Serug",
"SP": {
"b": 130,
"L": 230
},
"LXX_OFF": {
"b": 130,
"L": 330
}
},
{
"name": "Nahor",
"SP": {
"b": 79,
"L": 148
},
"LXX_OFF": {
"b": 79,
"L": 208
}
},
{
"name": "Terah",
"SP": {
"b": 70,
"L": 145
},
"LXX_OFF": {
"b": 70,
"L": 205
}
}
],
"conditional_remainder_relations": {
"early_block": {
"MT": {
"Arphaxad": 403,
"Shelah": 403
},
"SP": {
"Arphaxad": 303,
"Shelah": 303
},
"LXX_native": {
"Arphaxad": 330,
"2nd Cainan": 330,
"Shelah": 330
}
},
"late_MT_LXX_conserved": {
"Peleg": 209,
"Reu": 207,
"Serug": 200
},
"exceptions_MT_to_LXX_delta_r": {
"Eber": -60,
"Nahor": 10,
"Terah": 0
},
"interpretation": "For Peleg/Reu/Serug, b and L rise together by100 and r is conserved. This differs from the pre-Flood century repartition, where L is conserved and r decreases100."
},
"not_established": [
"Global minimality of this dictionary",
"Historical causal ordering or direction of edits",
"A source-controlled generator of the MT baseline ages/lives",
"A post-Flood cap-like law deriving all lifespans from begettings alone",
"Independence of the displayed equalities as historical witnesses"
]
},
"inherited_work_register": [
{
"steps": "C484–491",
"established": "Two source projections, LXX post-Flood lifespan differences totaling 454 (OFF), SP Eber/Terah −120 within −608; Cainan 130/460/330."
},
{
"steps": "C733–741",
"established": "Full row-generated mode bridges and inter-tradition displacement profiles; finite differences recover every local row change. Repeated 403/303/330 entries already appear in the output vectors."
},
{
"steps": "C742–746",
"established": "Common LXX/SP birth suffix, complete restored-SP/native-LXX birth alignment, death differences, matched-Cainan plateaus and composition."
},
{
"steps": "C773, C779–786",
"established": "Terah source triangle and distinct regular/cumulative projections; finite state supports and rounding. Official SP 145 is not silently replaced by Ideal 205."
},
{
"steps": "C953–983, especially C967 and C973",
"established": "SP pre-Flood cap generator and limits. Cap does not derive the first five begettings; Eber/Terah −120 are separate post-Flood source choices."
}
],
"novelty_scope": "No value, operator, or state is claimed new or absent from the repository. Proposed added work is a conditional rank/identifiability and descriptive-cost analysis not located in the reviewed C484–491/C733–786/C953–983 records. Repeated remainders and the generic row identity are inherited.",
"validation": {
"checks": {
"complete_row_inventory": true,
"all_native_source_birth_death_arithmetic": true,
"all_remainders_derived_correctly": true,
"candidate_generates_complete_two_tradition_common_packet": true,
"OFF_regular_births_and_b_equal_SP": true,
"MT_postflood_regular_edges": true,
"SP_postflood_regular_edges": true,
"LXX_native_postflood_regular_edges": true,
"printed_cumulative_checkpoints": true
},
"all_passed": true,
"passed": 9,
"total": 9
},
"reviewed_prior_journals": [
{
"path": "/workspace/scratch/1b40da62dcbd/c482_c531/journal.json",
"sha256": "6eaeccad4734eff2f6ac20ba847967877b944f9758c53c712ac8b5be2ddf61eb",
"bytes": 93141
},
{
"path": "/workspace/scratch/1b40da62dcbd/c732_c831/journal.json",
"sha256": "8ea2b882289fbcea5cf11177923617f0c1d1ad7e6eaa3bffb174c6f89699d97d",
"bytes": 160440
},
{
"path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"sha256": "f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670",
"bytes": 267927
}
]
}
Evidence
postflood source packets.json
Linked sources and evidence
Edition and provenance
postflood_source_packets.json
SHA-256 514d9bb85d0b0da636197a33c50f6bf8c6da5474cf425eb9500f8f95b8f5e23c
C480–C1634/Research_Cycles/C1132_C1431_Recovered/prep/postflood_source_packets.json