{
"title": "Source and proof routes for the connected explanation",
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"Strategy": {
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"s60_states": {
"source_id": "File60",
"section": "§0.4",
"first_line": 150,
"last_line": 181,
"excerpt_sha256": "fb1233ba1787ad3e8deca06693a1710174f5189b9379b22f2a242c13c4dfbf1c",
"excerpt": "### 0.4 Working state register\n\n| State | Primary values / forms | Node-class / function | Handling in `File_60` |\n|---|---:|---|---|\n| File_59 census dependency | `22000`; `22273`; `22300`; `23000`; `22080`; `579600`; `588000`; `602640`; `458640`; `37730` | imported census facts | File_59 controls derivation and textual provenance. |\n| Human-facing scribal state | `579600 = 161 × 3600` | simple factorization / intentionality candidate | Main opening. Plausibly scribal; not proven. |\n| Palindromic `6–161–6` display | `579600 = 100 × (6 × 161 × 6)` | author-defined symbolic enclosure | Secondary display of the same factorization; not a new operator. |\n| MT `+215` comparison | Levi `1919–1782 BC`; Ishmael `2080–1943 BC` | regular full-430-Egypt comparison | Used for the parallel `336` and birth/death displacement. |\n| MT Minimum / `−215` | Covenant `1866`; Ishmael `1865–1728`; Isaac `1851`; Jacob `1791–1644`; Levi `1704–1567`; Joseph `1700–1590` | principal regular state | Main same-side chronology of §§2–6. |\n| Localized LXX `−33` | Jacob `1973–1826`; call `1896`; Levi `1886–1749` | localized methodological variant | Compact corroborative section only. It is not a replacement chronology. |\n| Cumulative Moses/Nisan | Abraham `2435`; Isaac `2260`; Jacob `2080`; Levi `1933`; Kohath `1796`; Amram `1663`; Moses `1526` | lifespan-stacking trunk | Primary cumulative line. |\n| Cumulative Aaron/Tishri | corresponding `+3.5` coordinates | phase-resolved priestly trunk | Exact `.5` line; whole-year shorthand is display-only. |\n| Covenant two-son state | Covenant; Ishmael; Isaac; Levi | narrative / chronological convergence | Hagar and Sarah routes both terminate at Levi. |\n| Equal-`137` state | Ishmael and Levi | lifespan parallel | Produces identical birth and death displacement. |\n| Direct three-rail `147` lattice | `1851 → 1704`; `1791 → 1644`; `1714 → 1567` | intergenerational, lifespan, and call-to-priestly-close rails | Direct same-side arithmetic; Jacob’s full lifespan is the module. |\n| Jacobean `70` authorized unit | Jacob call age `77` to death age `147` | File_15 generational unit | Remains distinct from the full-lifespan `147` module. |\n| Joseph double-`147` state | `1700 → 1406 = 294 = 2 × 147` | double portion / fourth-generation continuation | Arithmetic fact; tribal interpretation is structural / typological. |\n| Birth-reconciliation ladder | `147 → 161 → 175`; successive `+14` | Isaac / Ishmael / Abraham values relative to Levi | Ishmael’s `147` is reconciled, not a textual lifespan. |\n| Death spine | `161 + 161 = 322` | Ishmael → Levi → Aaron | Main chronological spine. |\n| Bilateral `175` bookend state | `(161 + 161) × 25/23 = 175 + 175 = 350` | value-level Priestly expansion | Historical arms remain `161`; `175` values are transformed. |\n| Abrahamic seventh-generation state | Abraham → Isaac → Jacob → Levi → Kohath → Amram → Aaron/Moses | seven-position genealogical closure | Aaron/Moses birth opens and their terminal closes the seventh generation. |\n| Levi terminal calibration | `161`; `336`; `343` | Key / Priestly / Jubilee terminal forms | Comparison table; states remain distinct. |\n| Terah–Abraham–Sarah approach | `630/637`; `700/707`; `770/777` | outer heptadic envelope | Shows heptadic relations among decimal patriarchal / Mosaic nodes. |\n| Author-approved bounded Terah-inclusive `−33` state | `2203→1998`; `2296−33=2263`; composite `2263→2058`; `2263→1486=777` | bounded comparison / scope-hinge state | Extends the operative localized corridor to Terah only; does not globalize `−33` into Noah/Shem. |\n| Noah–Terah epoch-head state | two toledot heads; three sons; `±2` versus `+60` | literary / structural comparison | Variant mechanisms remain distinct. |\n| Covenant partition | `299 + 161 = 460` | `13 × 23` / `7 × 23` | Levitical atonement hinge. |\n| Joseph–Levi state | `276 = 12 × 23`; `299 = 13 × 23` | national twelve / priestly thirteenth | Structural and typological interpretation. |\n| Transformed `1566 BC` | `276 → 300`; `299 → 300` | common harmonic completion | Not a textual historical death date. |\n| Phase-resolved Mirror | `1447t/1446n BC` to AD terminal pairs | cross-axis coordinate-completion | Uses suffix inversion and civil span. |\n| Palindromic Curse | `131`; `3013 = 23 × 131`; `3275 = 5 × 131 × 5` | author-defined symbolic label | Local terminology; not standard mathematical nomenclature. |\n| Palindromic Blessing | `3773 = 7 × 77 × 7`; `37730 = 10 × 3773` | author-defined counterpart | Retained because File_59 carries `37730`; not a primary operator. |\n| Jacob return-scale state | `2006 → 536 = 1470 = 10 × 147 = 3 × 490` | personal-to-national restoration scale | Direct same-side chronology. |"
},
"s60_births": {
"source_id": "File60",
"section": "§§2.2–2.4",
"first_line": 382,
"last_line": 478,
"excerpt_sha256": "1ed775721c45d60455a127f2645127291099ed8f315605138f7403735fd6ced3",
"excerpt": "### 2.2 MT Minimum / `−215` birth ledger\n\n| Event / person | Coordinate | Span to Levi birth `1704 BC` |\n|---|---:|---:|\n| Expanded Ishmael coordinate | `1879 BC` | `175` |\n| Covenant of Pieces | `1866 BC` | `162` |\n| Ishmael birth | `1865 BC` | `161` |\n| Isaac birth | `1851 BC` | `147` |\n| Levi birth | `1704 BC` | — |\n\nThe two natural routes from the Covenant converge at Levi:\n\n```text\nCovenant → Ishmael birth = 1\nIshmael birth → Levi birth = 161\n1 + 161 = 162\n```\n\n```text\nCovenant → Isaac birth = 15\nIsaac birth → Levi birth = 147\n15 + 147 = 162\n```\n\nTherefore:\n\n```text\n1 + 161 = 15 + 147 = 162\n```\n\nThe fourteen-year difference between Ishmael and Isaac is exactly balanced:\n\n```text\n15 − 1 = 14\n161 − 147 = 14\n```\n\n### 2.3 The three direct `147` rails\n\nUnder the principal MT Minimum / `−215` state, three independent same-side spans equal Jacob’s full lifespan:\n\n```text\nIsaac birth 1851 → Levi birth 1704 = 147\nJacob birth 1791 → Jacob death 1644 = 147\nJacob call 1714 → Levi death 1567 = 147\n```\n\nThe first is intergenerational, the second is biographical, and the third begins with Jacob’s call at age `77` and ends at the close of Levi’s `137`-year life. Their equality supplies a single `147 = 3 × 49` lifespan-generation module rather than three disconnected observations.\n\n### 2.4 The translated lattice and the `77 | 70 | 77` overlap\n\nThe three rails form a translated lattice:\n\n```text\nIsaac birth 1851 ───────── 147 ───────── Levi birth 1704\n │ 60 │ 60\nJacob birth 1791 ───────── 147 ───────── Jacob death 1644\n │ 77 │ 77\nJacob call 1714 ────────── 147 ───────── Levi death 1567\n```\n\nThe vertical measurements agree:\n\n```text\n1851 − 1791 = 60\n1704 − 1644 = 60\n\n1791 − 1714 = 77\n1644 − 1567 = 77\n```\n\nThe outer diagonal is Levi’s lifespan:\n\n```text\n1851 − 1714 = 137\n1704 − 1567 = 137\n```\n\nJacob and Levi also form the sliding chiasm:\n\n```text\nJacob birth → call = 77\nJacob call → Jacob death = 70\nJacob death → Levi death = 77\n```\n\nTherefore two overlapping windows equal `147`:\n\n```text\n77 + 70 = 147\n70 + 77 = 147\n```\n\nThe middle `70` remains File_15’s authorized Jacobean call-to-death generational unit. The complete `147` is a different, full-lifespan Jubilee module.\n\n### 2.5 Joseph’s double `147`\n"
},
"s60_household": {
"source_id": "File60",
"section": "§2.7",
"first_line": 545,
"last_line": 580,
"excerpt_sha256": "4c2c44a080dd94bd686bfa664da7b2baf7862da00ed05278a62b60d2cee9e7ba",
"excerpt": "### 2.7 Jacob’s fourteen-year household frame inside the third `147`\n\nThe same `14` is embodied in Jacob’s service for Leah and Rachel. Under the `−215` transfer, the principal service frame is:\n\n```text\n1714–1700 BC = 14 years\n```\n\nThe complete call-to-Levi-death rail is:\n\n```text\n1714 − 1567 = 147\n```\n\nJoseph’s birth divides it:\n\n```text\n1714 − 1700 = 14\n1700 − 1567 = 133\n14 + 133 = 147\n```\n\nLevi’s `1704 BC` birth lies within the opening fourteen-year bracket:\n\n```text\n1714 → 1704 = 10\n1704 → 1700 = 4\n10 + 4 = 14\n```\n\nThe fourteen years are therefore the opening component inside the third direct `147`, not an amount added outside it. The remaining `133` then joins the Levi-to-Conquest `161` arm:\n\n```text\n133 + 161 = 294 = 2 × 147\n```\n"
},
"s60_equal_lives": {
"source_id": "File60",
"section": "§§3.1–3.2",
"first_line": 583,
"last_line": 629,
"excerpt_sha256": "2b72e7c3e0462dd053089f0e2b1fb41b662ffb6df1266df849095e0b083c2a87",
"excerpt": "### 3.1 Equal `137`-year lives\n\nUnder the MT Minimum / `−215` state:\n\n```text\nIshmael 1865–1728 BC = 137\nLevi 1704–1567 BC = 137\n```\n\nBecause the lifespans are equal, the birth and death displacements are identical:\n\n```text\n1865 − 1704 = 161\n1728 − 1567 = 161\n```\n\n### 3.2 Ishmael → Levi → Aaron\n\nThe death sequence is:\n\n```text\nIshmael death 1728 BC\nLevi death 1567 BC\nAaron death 1407t/1406n BC\n```\n\nOn the whole-year Nisan display:\n\n```text\n1728 − 1567 = 161\n1567 − 1406 = 161\n```\n\nThe `1406 BC` member is the whole-year / Nisan terminal display. It does not collapse Aaron’s more precise summer `1407t BC` death state into Moses’ death and the western Conquest frame at `1406n BC`.\n\nTherefore:\n\n```text\n161 + 161 = 322\n```\n\nThis is the chronological spine contained in the census factorization:\n\n```text\n579600 = 161 × 3600\n```\n"
},
"s60_partition": {
"source_id": "File60",
"section": "§5.1",
"first_line": 1027,
"last_line": 1058,
"excerpt_sha256": "f88f598e5851b23a755a861d3f3322c631612e37cd978d2bd2b16ce2af3e7c25",
"excerpt": "## 5. The Covenant partition: `299 + 161 = 460`\n\n### 5.1 The missing chronological expression\n\nUnder the MT Minimum / `−215` state:\n\n```text\nCovenant of Pieces 1866 BC\nLevi death 1567 BC\nAaron death 1407t/1406n BC\n```\n\nThe Covenant-to-Levi span is:\n\n```text\n1866 − 1567 = 299 = 13 × 23\n```\n\nThe Levi-to-Aaron span is:\n\n```text\n1567 − 1406 = 161 = 7 × 23\n```\n\nTogether:\n\n```text\n299 + 161 = 460\n13 × 23 + 7 × 23 = (13 + 7) × 23 = 20 × 23\n```\n\nLevi’s death is therefore the priestly hinge where the Covenant-to-Conquest `460` passes from a `13 × 23` arm into a `7 × 23` arm."
},
"s60_keys": {
"source_id": "File60",
"section": "§§6.1–6.2",
"first_line": 1181,
"last_line": 1233,
"excerpt_sha256": "3af3ea4cecc59af5585fde864402139a588bca7c4ee6a2af0d91b167aca8a25d",
"excerpt": "### 6.1 Consecutive Covenant multiples\n\nUnder the MT Minimum / `−215` state:\n\n```text\nJoseph 1700–1590 BC = 110\nLevi 1704–1567 BC = 137\n```\n\nFrom the Covenant:\n\n```text\n1866 − 1590 = 276 = 12 × 23\n1866 − 1567 = 299 = 13 × 23\n```\n\nAnd:\n\n```text\n1590 − 1567 = 23\n```\n\nJoseph and Levi occupy consecutive Key-of-23 terminals.\n\n### 6.2 Two routes to `300`\n\nJoseph’s route uses the Priestly Key:\n\n```text\n276 × 25/23 = 300\n```\n\nLevi’s route uses Enochian completion:\n\n```text\n299 × 300/299 = 300\n```\n\nBoth land at:\n\n```text\n1866 − 300 = 1566 BC\n```\n\nThe shifts are:\n\n```text\nJoseph 1590 → 1566 = 24\nLevi 1567 → 1566 = 1\n24 − 1 = 23\n```\n\nThe original separation is absorbed when both Covenant measures complete at `300`."
},
"s61_envelope": {
"source_id": "File61",
"section": "§6.3",
"first_line": 942,
"last_line": 967,
"excerpt_sha256": "c4c1d9fa92ef5dd97c70e4b7deb56c7b9da8969acdb11822a4477e38d6e58dbb",
"excerpt": "### 6.3 Maximum envelope from Levi’s birth\n\nAssume, only for the extremal calculation, that each successor begins when the preceding father dies:\n\n```text\nLevi 137\nKohath 133\nAmram 137\nMoses 80 to the Exodus\n────────────────\nMaximum 487\n```\n\nThe actual Levi-birth-to-Exodus span is:\n\n```text\n1919 − 1446 = 473\n```\n\nTherefore:\n\n```text\n487 − 473 = 14\n```\n\nThe full Levi-to-Moses lifespan volume exceeds the regular elapsed history by one double heptad."
},
"s61_translate": {
"source_id": "File61",
"section": "§§7.1–7.3",
"first_line": 1052,
"last_line": 1107,
"excerpt_sha256": "de9931f7b5b6be1f5f2986c54dc67efccb168c0f2e819fe9746d5133b754ee06",
"excerpt": "## 7. The Fourteen-Year Clutch — Compression, Translation, and Restoration\n\n### 7.1 The `14` is derived before it is used\n\nSection 6 established the same surplus from three independent measurement heads:\n\n```text\n487 − 473 = 14\n444 − 430 = 14\n350 − 336 = 14\n```\n\nThe value is therefore not selected because later translated coordinates are attractive. It is first generated by the maximum lifespan envelopes and only then tested as a uniform cumulative translation.\n\n### 7.2 The two explicit narrative witnesses\n\nThe same quantum governs the two most conspicuous narrative double heptads in the corridor:\n\n```text\nJacob’s service: 1929 → 1915 = 14 = 7 + 7\nJoseph’s economy: 1885 → 1871 = 14 = 7 + 7\n```\n\nJacob’s double heptad forms the household. Joseph’s double heptad preserves the household and brings it into Egypt. The extremal envelopes show that the same `14` compresses cumulative lifespan capacity into regular elapsed chronology.\n\n### 7.3 Formal definition\n\nFile_61 opens the following bounded local operator:\n\n```text\nT14(C) = C − 14\n```\n\nBecause the coordinates are BC labels, the subtraction moves the coordinate fourteen years forward.\n\nFor an original cumulative lifespan block:\n\n```text\nP − S = L\n```\n\nthe clutch operates in two stages.\n\nOne-boundary engagement:\n\n```text\n(P − 14) − S = L − 14\n```\n\nTwo-boundary propagation:\n\n```text\n(P − 14) − (S − 14) = L\n```\n\nThe first movement contracts the active block. The second restores the complete lifespan on a translated parallel rail."
},
"s61_midpoint": {
"source_id": "File61",
"section": "§7.3A",
"first_line": 1109,
"last_line": 1136,
"excerpt_sha256": "49971e2642754674d297d835f9c3d73441223d41c513ce2ce5059b334875b2b9",
"excerpt": "### 7.3A The exact half-clutch midpoint rail\n\nBecause:\n\n```text\n14 = 7 + 7\n```\n\nthe full clutch contains the exact midpoint:\n\n```text\nH7(C) = C − 7\nH7(C) = [C + T14(C)] ÷ 2\n```\n\nThe Moses/Nisan rails are:\n\n| Boundary | Original cumulative | Half-clutch `H7` | Full clutch `T14` |\n|---|---:|---:|---:|\n| Abraham | `2435` | `2428` | `2421` |\n| Isaac | `2260` | `2253` | `2246` |\n| Jacob | `2080` | `2073` | `2066` |\n| Levi | `1933` | `1926` | `1919` |\n| Kohath | `1796` | `1789` | `1782` |\n| Amram | `1663` | `1656` | `1649` |\n| Moses-side terminal / fixed-birth interface | `1526` | `1519` | `1512` |\n\nEvery vertical lifespan is preserved. The final row measures derived interfaces from Moses’ fixed birth; it does not relocate Moses. The exact Aaron/Tishri rail has the same structure at `.5` phase."
},
"s61_joins": {
"source_id": "File61",
"section": "§§8.1–8.3",
"first_line": 1234,
"last_line": 1282,
"excerpt_sha256": "bb00dbd8ea281a4441afbd195bd8eb56f3f865030a70a3e98a59b1632bde1bfe",
"excerpt": "### 8.1 Master landing table\n\n| Original cumulative boundary | `T14` coordinate | Principal regular or extremal landing |\n|---:|---:|---|\n| Jacob `2080` | `2066` | regular Isaac birth; original `2080` also carries regular Ishmael birth |\n| Levi `1933` | `1919` | regular Levi birth |\n| Kohath `1796` | `1782` | regular Levi death |\n| Amram `1663` | `1649` | extremal Kohath-death / Amram-beginning coordinate |\n| Moses `1526` | `1512` | extremal Amram-death coordinate |\n\nThe table records shared coordinates, not node-class identity. The original cumulative boundary and the translated regular or extremal landing remain distinct states.\n\n### 8.2 Cumulative Jacob–Levi becomes the regular Isaac–Levi rail\n\nOriginal cumulative block:\n\n```text\n2080 − 1933 = 147\n```\n\nTranslated block:\n\n```text\n2066 − 1919 = 147\n```\n\nThe translated endpoints are regular Isaac’s and Levi’s births:\n\n```text\nregular Isaac birth → regular Levi birth = 147\n```\n\nThe clutch therefore maps a complete cumulative Jacob lifespan block onto File_60’s regular Isaac–Levi `147` rail in the full-`430` chronology.\n\n### 8.3 Cumulative Levi–Kohath becomes Levi’s regular biography\n\nOriginal cumulative block:\n\n```text\n1933 − 1796 = 137\n```\n\nTranslated block:\n\n```text\n1919 − 1782 = 137\n```\n\nThe translated endpoints are regular Levi’s birth and death. This is the strongest local clutch landing because the complete cumulative Levi block becomes Levi’s complete regular biography."
},
"s62_array": {
"source_id": "File62",
"section": "§§1.2–1.4",
"first_line": 444,
"last_line": 486,
"excerpt_sha256": "ea1ce1ef00bac9a48de75ada0c5b9df2f4eb31e8f229b9567cc2ad70d73c8698",
"excerpt": "### 1.2 Moses/Nisan three-rail table\n\n| Boundary | Original cumulative | Half-clutch `H7` | Full clutch `T14` |\n|---|---:|---:|---:|\n| Abraham | `2435` | `2428` | `2421` |\n| Isaac | `2260` | `2253` | `2246` |\n| Jacob | `2080` | `2073` | `2066` |\n| Levi | `1933` | `1926` | `1919` |\n| Kohath | `1796` | `1789` | `1782` |\n| Amram | `1663` | `1656` | `1649` |\n| Moses-side terminal / fixed-birth interface | `1526` | `1519` | `1512` |\n\nEvery horizontal row is `7+7`. Every vertical lifespan remains unchanged. The final row is a derived terminal interface measured from Moses’ fixed birth; it does not relocate Moses.\n\n### 1.3 Aaron/Tishri exact three-rail table\n\n| Boundary | Original exact phase | Half-clutch `H7` | Full clutch `T14` |\n|---|---:|---:|---:|\n| Abraham | `2438.5` | `2431.5` | `2424.5` |\n| Isaac | `2263.5` | `2256.5` | `2249.5` |\n| Jacob | `2083.5` | `2076.5` | `2069.5` |\n| Levi | `1936.5` | `1929.5` | `1922.5` |\n| Kohath | `1799.5` | `1792.5` | `1785.5` |\n| Amram | `1666.5` | `1659.5` | `1652.5` |\n| Aaron-side terminal / phase interface | `1529.5` | `1522.5` | `1515.5` |\n\nThe exact phase rail confirms that the midpoint is not limited to integer shorthand. The final row is an Aaron-side phase interface, not a translated historical Aaron birth.\n\n### 1.4 Lifespan invariance\n\nOn all three Moses/Nisan rails:\n\n```text\n175 | 180 | 147 | 137 | 133 | 137\n```\n\nOn all three Aaron/Tishri rails:\n\n```text\n175 | 180 | 147 | 137 | 133 | 137\n```\n\nThe half-clutch changes placement, not lifespan volume."
},
"s62_methods": {
"source_id": "File62",
"section": "§2.1",
"first_line": 508,
"last_line": 524,
"excerpt_sha256": "d2245c74a17d7e53c3a3a9bd7e2b90310a290147a2cc28c8aa520f1e27d7f587",
"excerpt": "### 2.1 Two machines built from the same textual material\n\nRegular chronology places births, deaths, calls, migrations, and entries within overlapping historical lives. Cumulative chronology stacks complete lifespans end-to-end. The methods are different, but they are built from the same textual lifespans.\n\nThe lower root uses:\n\n```text\nJacob 147\nLevi 137\nKohath 133\nAmram 137\nAaron 123\nMoses 120\nJoseph 110\n```\n\nThe hidden begetting ages of Kohath and Amram leave the historical overlap unspecified while their full lifespans remain available to the cumulative machine."
},
"s63_authority": {
"source_id": "File63",
"section": "§7.9",
"first_line": 2196,
"last_line": 2210,
"excerpt_sha256": "3b74fc6bbb66beb67e127ab2927451a65cac01a2ee98da5bbd0667100e67cb94",
"excerpt": "### 7.9 Covenant stars, the `299→300` completion, and the `400×364` Christological rail\n\nGenesis 15 joins two textual images inside one covenant field. In verse 5, Abram is told to look toward heaven and count the stars: “So shall your offspring be.” In verse 13, the future affliction of that offspring is stated as `400` years.\n\nFile_63 opens two author-designated regular chronology states for this comparison:\n\n- `2081 BC`: regular Covenant-of-Pieces coordinate, the `+215` counterpart of File_60’s MT Minimum `1866 BC` covenant state;\n- `2051 BC`: Isaac at proposed age `15` in the offering narrative, thirty years after the covenant coordinate. Genesis 22 does not state Isaac’s age.\n\nIsaac’s regular `2066 BC` birth stands exactly at the midpoint of those two author-designated states:\n\n```text\n2081−2066=15\n2066−2051=15\n2081−2051=30."
},
"strategy_goal": {
"source_id": "Strategy",
"section": "§1",
"first_line": 12,
"last_line": 24,
"excerpt_sha256": "6aef99be948ddc4535732971ac832d2663f13fbb671a97a423dc582ebcf6837f",
"excerpt": "## 1. The research objective\n\nRecover the smallest *state-aware generative grammar* that explains the greatest amount of the received chronological structure.\n\nThe object is not a single chronology into which every tradition must be forced. It is a system of related chronologies whose differences can themselves obey a common grammar. A satisfactory explanation should account for the input values, their placement in genealogies, the effects of admitted variants, the preservation of important spans, and the emergence of shared calendrical completions.\n\nThe principal working hypothesis is:\n\n> Local repartitioning of inherited chronological quantities, together with calendar-measure preservation and controlled boundary changes, can produce global compatibility without requiring any one scribe to have intended the entire system.\n\nThis is a hypothesis to develop, not a final historical reconstruction. Its mathematical, transmission-historical, and theological levels must remain distinguishable. Mathematical equivalence can be demonstrated; a historical sequence requires additional evidence; divine providence is the adopted interpretive premise rather than an adjustable arithmetic parameter.\n\nThe desired product is a compact presentation with four components: a small primitive-data register, a short list of admissible operations, relations among those operations, and a reconstruction ledger showing what follows from them."
}
},
"proof_records": {
"C1032": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1032,
"record_sha256": "5278634c95db06b4fd0bf8fe75a4c384246d9c88902f932254cd9918f58f4273",
"title": "Source-local Covenant regeneration",
"finding": "Source-local birth offsets, household timing and lifespans regenerate all twelve regular nodes. The two161 spans and299/276 radii are outputs, not generating inputs."
},
"C1033": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1033,
"record_sha256": "2450e27376c3324ad5a901daaac9a2091e5670ddf9509af9f3745fd11b2c9fe3",
"title": "Covenant incidence identifiability",
"finding": "The twelve-coordinate incidence map is invertible over integers. Full labelled coordinates recover the selected local edges by subtraction; this is not a claim of twelve historically independent observations."
},
"C1035": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1035,
"record_sha256": "651f5c92d2bfc9c841627b23bf4e53afa763c2f2a23b513ee11ff308cc272fdb",
"title": "The two147 source conditions",
"finding": "The biographical147 is supplied; two source conditions make the intergenerational and call-to-death rails equal it. Their difference explains the shared137 diagonal."
},
"C1036": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1036,
"record_sha256": "44991fa3da085c84a05b50032f53c1a6d6f37ffc257b498edaedd61f7ce22ce3",
"title": "Equal lives preserve translated displacements",
"finding": "The equal137 lifespans transfer the161 separation from births to deaths. They are separately labelled biographies, not one person or one reused observation."
},
"C1037": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1037,
"record_sha256": "367da05e2f6c83cb0ac1bad440cb59947081ad4f8519777549768e5fe3cff193",
"title": "Twin-arm terminal condition",
"finding": "With biographies fixed, twin arms impose one condition on the retained terminal. The terminal1406 is source-appointed; the calculation identifies its role rather than selecting it by search."
},
"C1040": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1040,
"record_sha256": "f96d1504ac6faa43ebfdcedbc85c4f8b127d075b0c0c85da056e5067b9bcb96c",
"title": "Primitive common-Key landing condition",
"finding": "The two routes agree exactly when13 times the Joseph radius equals12 times the Levi radius. The radii299/276 and common1566 point are generated from the local source paths."
},
"C1041": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1041,
"record_sha256": "3ebf97c23dbdc80a7c34d71c1dda9f948c1b6d9846f133b95c461954239e4c42",
"title": "Common landing adds one cycle condition",
"finding": "The common-Key cycle adds one constraint in the declared variable source model. Introducing its landing coordinate does not create a second independent equality."
},
"C1047": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1047,
"record_sha256": "9e8bf7f6ecf7f0c899d3dbbc84f261853fa1247fbbd00b59961edc0dddd23168",
"title": "Eliminate the generated common point",
"finding": "Adding a common-point coordinate introduces one generated quantity and one agreement condition. The two displayed landings should not be counted as two independent source constraints."
},
"C1048": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1048,
"record_sha256": "d7a116854cddb2ec5c31e61969e49b580e80a60a857a646e9de34fccf17d5fdc",
"title": "Complete42-coordinate array rank",
"finding": "The unrestricted array has nine parameters and33 linear output dependencies. Its42 coordinates therefore are not42 independent numerical observations."
},
"C1049": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1049,
"record_sha256": "c8a828e2e93ef2bb227323d1d70b4352e1272e6a17404399769678784e033813",
"title": "Minimal clutch observation basis",
"finding": "Seven unshifted Nisan coordinates, one unshifted Aaron coordinate and one half-clutch coordinate form an integer observation basis. Losing a whole phase, all shifts, or an entire source row leaves one parameter undetermined."
},
"C1050": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1050,
"record_sha256": "6a0b3a36270f54441c0f2c9b1b21816a76866ac87a766052863c10dd837d3e4d",
"title": "Exact-phase and lifespan constraints",
"finding": "The exact7=2×3.5 link and repeated137 life each remove one degree of freedom; together they leave seven. The whole-year phase3 does not satisfy the same equality and stays a separate model."
},
"C1051": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1051,
"record_sha256": "bbfcf89d252ba18c9542b2846240acb27c5e06f9a52d476639d1e1220f3b5983",
"title": "Cumulative bases from source lifespans",
"finding": "The source lifespan stack generates all seven boundaries; the regular Levi death then determines the clutch14 and half7. Those shifts are outputs of the coupled source model."
},
"C1052": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1052,
"record_sha256": "0962528bb8187e3dedadb26a099cecacc5a127a1c0569996cbe85ed004184a62",
"title": "The clutch’s first landing is definitional",
"finding": "The Exodus anchor cancels from the envelope subtraction. It defines d as cumulative Kohath minus regular Levi death, so that first landing is forced by construction."
},
"C1053": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1053,
"record_sha256": "f6d9e187682ddc456d213ec9b34c93a7150cb1a9b7fbdec98e9e5b5f3b93333f",
"title": "Shared Levi life forces the adjacent join",
"finding": "The second landing is an identity after the first join and shared Levi lifespan are retained. It contributes no additional source equation."
},
"C1054": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1054,
"record_sha256": "89a21615b28d21bf632bf23cdf3198b7b35bd8d6d98c5bcdb2b6d5149ba6f143",
"title": "Jacob-to-Isaac join recovers the147 condition",
"finding": "The Jacob-to-Isaac join adds exactly the earlier Isaac-to-Levi147 condition. It connects the two families through a shared source relation, not a new unrelated endpoint law."
},
"C1055": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1055,
"record_sha256": "0666d9a790a18d73280d009c56fd0fc912f170090b4fe80dd34a9dd02309fc3a",
"title": "Whole translated root cancels its original anchor",
"finding": "The original Moses anchor cancels from all seven translated coordinates once the source-derived clutch is recomputed. Placement is now controlled by the regular Levi death and shared lifespans; Moses’ historical birth is not moved."
},
"C1056": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1056,
"record_sha256": "b7336ca3e692e807873033765e5fe3343f5748a9c50cf63a1843c66587f782e3",
"title": "One clutch preserves the exact phase",
"finding": "Keeping the Nisan-derived clutch preserves the3.5 phase. Recomputing a separate clutch to the same regular landing would cancel it. The source’s phase policy therefore carries information."
},
"C1057": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c932_c1131/journal.json",
"record_step": 1057,
"record_sha256": "a06d76df74b6f16536ba4c8905f1b7fea64d19e1d010ab334d8c195822cec950",
"title": "Complete Covenant/clutch source-only model",
"finding": "The55-output coupled model has rank19 in its declared local inputs. The clutch and prominent gap values are derived, while source authority, phase policy and distinct biography roles remain explicit."
},
"C1070": {
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"record_step": 1070,
"record_sha256": "b201b46d77f708cc8656358972012c54b42cd6fd8de489dbac64d3339f9b0883",
"title": "Integration checkpoint and review qualifications",
"finding": "The computation phase is complete at139 actions. Three review qualifications are recorded; none changes the numerical results. Remaining work will make the family explanation concrete and independently reviewable rather than extend the endpoint catalog."
},
"C1282": {
"journal_path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/journal.json",
"record_step": 1282,
"record_sha256": "396b4b8ce70a9718ff109cd6ae7743d222bc1699004de3d0f7cdf6ac3c87fc58",
"title": "Specify the four-part common presentation",
"finding": "Thecommonpresentation will use fourlinkedregisters: sourceinputs, operations, relations andreconstructions. Theirpurpose is toshow eachfamily’s entrypoint andderivation inone coherentexplanation."
},
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"record_step": 1283,
"record_sha256": "ab3aedea888b0e85e85315de2e4a670e9b6f227d9831882208554750033a5fe2",
"title": "Define a role-bearing chronological record",
"finding": "Achronologicalrecord retains itsfamily,state,role,measure,count,order,chart,anchor andsupplied/generatedstatus. Equal2456 or4106 coordinates then remainlegible comparisons between distinctobjects."
},
"C1290": {
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"record_step": 1290,
"record_sha256": "2f90b108c68d372b4b39f2fbce3c90edfff40970d7079feb58f6789e62f75417",
"title": "Construct the Covenant primitive-register module",
"finding": "TheCovenantregister expandscryptic parameters intolocalbiographicalroles andretains thesourceauthor’sanchor andphase qualifications. Itsclutch remainsaderived interface withspecificjoin dependencies."
}
},
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"claims": [
{
"id": "COV-01",
"draft_anchor": "The Covenant family shows",
"claim": "Regular and cumulative chronology build ordered paths from different roles of shared source material; the clutch relates their placement.",
"role": "construction",
"source_locators": [
"s62_methods",
"strategy_goal"
],
"proof_records": [
"C1282",
"C1283",
"C1290"
]
},
{
"id": "COV-02",
"draft_anchor": "Begin with the MT Minimum",
"claim": "Q=1866 and source offsets 1,15,60,77,10 generate Levi birth 1704 through a 162-year path.",
"role": "source-conditioned generation",
"source_locators": [
"s60_states",
"s60_births",
"s60_household"
],
"proof_records": [
"C1032",
"C1033"
]
},
{
"id": "COV-03",
"draft_anchor": "Thus Levi’s birth",
"claim": "Ishmael 1865 and Levi 1704 differ by 161; equal 137-year lives give 1728/1567 deaths with the same separation.",
"role": "consequence",
"source_locators": [
"s60_births",
"s60_equal_lives"
],
"proof_records": [
"C1032",
"C1036"
]
},
{
"id": "COV-04",
"draft_anchor": "The further 161 years",
"claim": "Levi 1567 to terminal 1406 is 161 and retains a terminal-placement condition.",
"role": "source relation",
"source_locators": [
"s60_partition"
],
"proof_records": [
"C1037"
]
},
{
"id": "COV-05",
"draft_anchor": "The larger partition",
"claim": "Covenant to Levi death 299 and Covenant to Conquest 460 are generated path measurements in the minimum state.",
"role": "consequence",
"source_locators": [
"s60_partition"
],
"proof_records": [
"C1032",
"C1057"
]
},
{
"id": "COV-06",
"draft_anchor": "The state matters.",
"claim": "Full Covenant 2081 is author-designated; minimum 1866 differs by 215 while Conquest 1406 remains fixed. The 460-year span is minimum-state.",
"role": "state and authority",
"source_locators": [
"s60_states",
"s63_authority"
],
"proof_records": [
"C1070",
"C1290"
]
},
{
"id": "COV-07",
"draft_anchor": "The separate offering comparison",
"claim": "2051 offering and Isaac age 15 are proposed; Genesis 22 does not provide date or age.",
"role": "authority",
"source_locators": [
"s63_authority"
],
"proof_records": [
"C1057",
"C1290"
]
},
{
"id": "COV-08",
"draft_anchor": "Three 147-year spans",
"claim": "Three 147 rails use Jacob 147 and the conditions 60+77+10=147 and 10+137=147.",
"role": "source relations",
"source_locators": [
"s60_births",
"s60_household"
],
"proof_records": [
"C1035"
]
},
{
"id": "COV-09",
"draft_anchor": "Subtracting them gives",
"claim": "The shared 137 diagonal and corresponding separations follow from the two 147 conditions.",
"role": "consequence",
"source_locators": [
"s60_births"
],
"proof_records": [
"C1035"
]
},
{
"id": "COV-10",
"draft_anchor": "The Keys add a measurement",
"claim": "Source paths generate Joseph w=276 and Levi u=299; E and J send both to 300 at 1566 from minimum Q=1866.",
"role": "measurement",
"source_locators": [
"s60_keys",
"s60_states"
],
"proof_records": [
"C1032",
"C1040"
]
},
{
"id": "COV-11",
"draft_anchor": "More generally, writing",
"claim": "The Key landing equivalence 13w=12u supplies one agreement condition; 1566 is transformed, not a historical death date.",
"role": "constraint and role",
"source_locators": [
"s60_keys",
"s60_states"
],
"proof_records": [
"C1040",
"C1041",
"C1047"
]
},
{
"id": "COV-12",
"draft_anchor": "The cumulative construction supplies",
"claim": "The lifespan stack 175/180/147/137/133/137 at Moses 1526 generates all seven Nisan boundaries.",
"role": "construction",
"source_locators": [
"s61_midpoint",
"s62_array"
],
"proof_records": [
"C1051"
]
},
{
"id": "COV-13",
"draft_anchor": "| Cumulative boundary |",
"claim": "The complete seven-row original/half/full table reproduces File 61 and File 62.",
"role": "literal table",
"source_locators": [
"s61_midpoint",
"s62_array"
],
"proof_records": [
"C1051"
]
},
{
"id": "COV-14",
"draft_anchor": "The fourteen-year clutch is derived",
"claim": "Maximum envelope 487 minus regular 473 gives d=14 under full-state B=1919, D=1782, M=1526, e=1446.",
"role": "derivation",
"source_locators": [
"s61_envelope",
"s61_translate"
],
"proof_records": [
"C1051",
"C1052"
]
},
{
"id": "COV-15",
"draft_anchor": "The reason the first join",
"claim": "d=[L+K+A+(M-e)]-(B-e)=M+K+A-D cancels Exodus; the first Kohath-to-Levi-death join is definitional.",
"role": "identity",
"source_locators": [
"s61_envelope",
"s61_joins"
],
"proof_records": [
"C1052"
]
},
{
"id": "COV-16",
"draft_anchor": "The adjacent join follows",
"claim": "Shared Levi lifespan 137 forces cumulative Levi to regular Levi birth after the first join.",
"role": "identity after shared source life",
"source_locators": [
"s61_joins"
],
"proof_records": [
"C1053"
]
},
{
"id": "COV-17",
"draft_anchor": "The next join requires",
"claim": "Cumulative Jacob to regular Isaac requires the retained Isaac-to-Levi 147 condition; the clutch alone does not imply it.",
"role": "conditional join",
"source_locators": [
"s61_joins",
"s60_births"
],
"proof_records": [
"C1054"
]
},
{
"id": "COV-18",
"draft_anchor": "The half-clutch is the exact midpoint",
"claim": "H7 is the midpoint of original/T14; uniform translation preserves all six blocks, and Moses interfaces do not move the fixed birth.",
"role": "construction and role",
"source_locators": [
"s61_translate",
"s61_midpoint",
"s62_array"
],
"proof_records": [
"C1051",
"C1055"
]
},
{
"id": "COV-19",
"draft_anchor": "Phase completes the field.",
"claim": "Aaron exact phase adds 3.5 using the shared Nisan clutch; 1936.5 exact differs from the 1936 whole-year display.",
"role": "phase policy",
"source_locators": [
"s60_states",
"s62_array"
],
"proof_records": [
"C1056",
"C1290"
]
},
{
"id": "COV-20",
"draft_anchor": "Recalculating a different full clutch",
"claim": "Separately recomputing the full clutch to the same regular landing would erase phase and is a different comparison.",
"role": "diagnostic identity, not source execution",
"source_locators": [
"s62_array"
],
"proof_records": [
"C1056"
]
},
{
"id": "COV-21",
"draft_anchor": "The complete field contains",
"claim": "Seven rows, two phases and three positions yield 42 entries through b_i+jp-kh.",
"role": "array description",
"source_locators": [
"s62_array"
],
"proof_records": [
"C1048",
"C1049"
]
},
{
"id": "COV-22",
"draft_anchor": "In the unrestricted variable description",
"claim": "The unrestricted nine-parameter array has 33 output relations; h=2p and the repeated Levi/Amram 137 each impose one further relation.",
"role": "rank in stated variable model",
"source_locators": [
"s62_array"
],
"proof_records": [
"C1048",
"C1050"
]
},
{
"id": "COV-23",
"draft_anchor": "In the coupled construction",
"claim": "Cumulative boundaries and clutch are generated from retained source inputs; the common register separates source choice, operation, join and consequence.",
"role": "dependency explanation",
"source_locators": [
"s61_envelope",
"s61_midpoint",
"s62_methods"
],
"proof_records": [
"C1051",
"C1057",
"C1282",
"C1283",
"C1290"
]
}
],
"verification": {
"checks": {
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"minimum_Levi_birth": true,
"birth_gap_161": true,
"equal_life_death_gap": true,
"terminal_arm_161": true,
"299_460": true,
"full_minimum_scope": true,
"rails": true,
"Joseph_path": true,
"Key_routes": true,
"Key_cycle": true,
"stack": true,
"envelope": true,
"clutch_identity": true,
"first_join": true,
"second_join": true,
"third_join": true,
"complete_draft_table": true,
"midpoints": true,
"preserved_blocks": true,
"phase_and_whole": true,
"array_size": true,
"source_phase_relation": true,
"no_File54_import": true,
"inline_math_delimiters": true
},
"passed": 25,
"total": 25,
"independent_reader_review": {
"agent": "/root/operator_family",
"result": "No factual or scope error; optional unrestricted-model wording clarification incorporated before freeze."
}
},
"authority_guards": [
"2081 full-state Covenant author-designated; 1866 minimum counterpart.",
"2051 offering and Isaac age 15 proposed, not explicit Genesis 22 date or age.",
"1936 whole-year display distinct from 1936.5 exact.",
"Conquest 1406 held in admitted state change; C1034 all-point +215 is formal covariance only.",
"Moses 1526 fixed; 1519/1512 are derived interfaces.",
"Ranks concern stated variable models, not historical independence or probability."
]
}
},
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"bytes": 2313
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"bytes": 752
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"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/model/NT_native_Cainan_interface.json",
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"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/model/NT_Rounded_head_interface.json",
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},
"claims": [
{
"id": "CF01",
"draft_line": 3,
"paragraph_start": "The counted families extend",
"claim": "Labels, order, measures and placement pass through source-qualified interfaces.",
"source_locators": [],
"C_steps": [
"C1009–C1029",
"C1265–C1272"
],
"exact_artifact_bindings": [
"inherited_main",
"inherited_technical",
"NT_transfer_scope"
],
"limits": "Explanatory synthesis; no new generating law or historical causal claim."
},
{
"id": "CF02",
"draft_line": 5,
"paragraph_start": "Esau’s gift provides",
"claim": "Six clean and five female cumulative observations recover eight counts; total550 supplies male-donkey10.",
"source_locators": [
{
"source": "File58",
"section": "13.1",
"line_start": 1334,
"line_end": 1358,
"heading": "### 13.1 Printed-number total"
},
{
"source": "File58",
"section": "13.2",
"line_start": 1359,
"line_end": 1383,
"heading": "### 13.2 Five-drove source order and female cumulative register"
},
{
"source": "File58",
"section": "13.3",
"line_start": 1384,
"line_end": 1409,
"heading": "### 13.3 Male-first clean chronology sequence"
},
{
"source": "File58",
"section": "13.4",
"line_start": 1410,
"line_end": 1432,
"heading": "### 13.4 Unclean framing sequence"
}
],
"C_steps": [
"C1009",
"C1010"
],
"exact_artifact_bindings": [
"inherited_structural_review"
],
"limits": "Nine printed counts; unnumbered camel young supply no guessed numerical input."
},
{
"id": "CF03",
"draft_line": 7,
"paragraph_start": "Nine selected measurements",
"claim": "Six clean prefixes, femaleF3/F5 and total form a complete integer-recovery basis.",
"source_locators": [
{
"source": "File58",
"section": "13.2",
"line_start": 1359,
"line_end": 1383,
"heading": "### 13.2 Five-drove source order and female cumulative register"
},
{
"source": "File58",
"section": "13.3",
"line_start": 1384,
"line_end": 1409,
"heading": "### 13.3 Male-first clean chronology sequence"
},
{
"source": "File58",
"section": "13.4",
"line_start": 1410,
"line_end": 1432,
"heading": "### 13.4 Unclean framing sequence"
}
],
"C_steps": [
"C1011–C1013"
],
"exact_artifact_bindings": [
"inherited_structural_review",
"inherited_technical"
],
"limits": "Nine free numerical coordinates remain. Chronological dates are additional premises."
},
{
"id": "CF04",
"draft_line": 9,
"paragraph_start": "The Tishri ledger shows",
"claim": "Seven source templates, margins75/18/176/11, two festival equalities and daily44 recover seven amplitudes.",
"source_locators": [
{
"source": "File58",
"section": "2.2",
"line_start": 752,
"line_end": 762,
"heading": "### 2.2 Calendar-state declaration"
},
{
"source": "File58",
"section": "2.3",
"line_start": 763,
"line_end": 766,
"heading": "### 2.3 Counting rule"
},
{
"source": "File58",
"section": "3.1",
"line_start": 769,
"line_end": 788,
"heading": "### 3.1 Category table"
},
{
"source": "File58",
"section": "3.2",
"line_start": 789,
"line_end": 798,
"heading": "### 3.2 Sukkot subtotal"
}
],
"C_steps": [
"C1014",
"C1015"
],
"exact_artifact_bindings": [
"inherited_structural_review",
"inherited_technical"
],
"limits": "Templates retain numerical information including Sukkot70:14:98:7; totals alone are insufficient."
},
{
"id": "CF05",
"draft_line": 11,
"paragraph_start": "The daily Sukkot sequence",
"claim": "Total189 over seven days with decrement1 gives30…24; nonbull17 gives bulls13…7.",
"source_locators": [
{
"source": "File58",
"section": "7.1",
"line_start": 1018,
"line_end": 1040,
"heading": "### 7.1 Forward Sukkot-day sequence"
}
],
"C_steps": [
"C1016"
],
"exact_artifact_bindings": [
"inherited_structural_review"
],
"limits": "Decrement and uniform nonbull allocation remain premises."
},
{
"id": "CF06",
"draft_line": 13,
"paragraph_start": "The NT family replaces",
"claim": "Dependent one-slot P/six-slot E conditions imply69 slots;2450/35 supplies70 and radius4830.",
"source_locators": [
{
"source": "File43",
"section": "2.1",
"line_start": 520,
"line_end": 533,
"heading": "### 2.1 LukeSpan: names-span state"
},
{
"source": "File43",
"section": "2.2",
"line_start": 534,
"line_end": 547,
"heading": "### 2.2 LukeIntervals: interval-count state"
},
{
"source": "File43",
"section": "2.3",
"line_start": 548,
"line_end": 581,
"heading": "### 2.3 Luke-side BC projection brackets"
},
{
"source": "File43",
"section": "3.4",
"line_start": 657,
"line_end": 754,
"heading": "### 3.4 Genealogy chart"
},
{
"source": "File54",
"section": "6",
"line_start": 449,
"line_end": 496,
"heading": "## 6. Jared’s death / Enoch’s birth as a Key-of-23 return point"
},
{
"source": "File54",
"section": "8.6",
"line_start": 678,
"line_end": 710,
"heading": "### 8.6 The Luke–BJ–Conquest–Christ chiasm: 30 + 50 + 30 jubilees"
},
{
"source": "File54",
"section": "13.2",
"line_start": 990,
"line_end": 1001,
"heading": "### 13.2 Central interpretive result"
}
],
"C_steps": [
"C1019–C1022"
],
"exact_artifact_bindings": [
"inherited_structural_review",
"inherited_technical"
],
"limits": "Relative position, metric and6BC placement remain distinct; existing co-registrations are not independent historical derivations."
},
{
"id": "CF07",
"draft_line": 15,
"paragraph_start": "The latest comparison carries",
"claim": "The complete shared domain has22 Adam–Jacob names; SP/LXX share all ten Shelah–Jacob birth positions.",
"source_locators": [
{
"source": "File18",
"section": "2.1.3",
"line_start": 1223,
"line_end": 1239,
"heading": "#### 2.1.3 MT Minimum-Regular table"
},
{
"source": "File18",
"section": "2.2",
"line_start": 1240,
"line_end": 1286,
"heading": "### 2.2 Post-Flood to Patriarchs: MT Minimum-Regular"
},
{
"source": "File18",
"section": "2.3",
"line_start": 1287,
"line_end": 1300,
"heading": "### 2.3 Patriarchal period: MT Minimum-Regular; `±215` fork begins"
},
{
"source": "File18",
"section": "3.1",
"line_start": 1440,
"line_end": 1566,
"heading": "### 3.1 Creation to Flood: SP Normal / G2"
},
{
"source": "File18",
"section": "3.2.1",
"line_start": 1571,
"line_end": 1627,
"heading": "#### 3.2.1 SP Noah/Shem field and named bindings"
},
{
"source": "File18",
"section": "3.3",
"line_start": 1654,
"line_end": 1666,
"heading": "### 3.3 Patriarchal period: SP Minimum"
},
{
"source": "File18",
"section": "4.1",
"line_start": 1692,
"line_end": 1711,
"heading": "### 4.1 Creation to Flood: LXX Regular-Minimum"
},
{
"source": "File18",
"section": "4.2",
"line_start": 1712,
"line_end": 1735,
"heading": "### 4.2 Post-Flood to Patriarchs: LXX Regular-Minimum"
},
{
"source": "File18",
"section": "4.3",
"line_start": 1736,
"line_end": 1739,
"heading": "### 4.3 Patriarchal period: LXX Regular-Minimum"
},
{
"source": "File43",
"section": "3.4",
"line_start": 657,
"line_end": 754,
"heading": "### 3.4 Genealogy chart"
}
],
"C_steps": [
"C1265–C1268"
],
"exact_artifact_bindings": [
"NT_transfer_scope",
"NT_complete_shared_birth_comparison",
"NT_SP_LXX_identical_birth_suffix"
],
"limits": "Native/Minimum frames and SP qualified G2/Arphaxad-bound Shem selections are retained; no full RoundedSP biography."
},
{
"id": "CF08",
"draft_line": 30,
"paragraph_start": "At each of these ten names",
"claim": "Seven differing lifespans are27,100,100,100,100,60,60, totaling547, despite identical birth comparisons.",
"source_locators": [
{
"source": "File18",
"section": "3.2.1",
"line_start": 1571,
"line_end": 1627,
"heading": "#### 3.2.1 SP Noah/Shem field and named bindings"
},
{
"source": "File18",
"section": "3.3",
"line_start": 1654,
"line_end": 1666,
"heading": "### 3.3 Patriarchal period: SP Minimum"
},
{
"source": "File18",
"section": "4.2",
"line_start": 1712,
"line_end": 1735,
"heading": "### 4.2 Post-Flood to Patriarchs: LXX Regular-Minimum"
},
{
"source": "File18",
"section": "4.3",
"line_start": 1736,
"line_end": 1739,
"heading": "### 4.3 Patriarchal period: LXX Regular-Minimum"
}
],
"C_steps": [
"C1268",
"C1269"
],
"exact_artifact_bindings": [
"NT_SP_LXX_identical_birth_suffix",
"NT_birth_projection_hidden_lives"
],
"limits": "Cumulative source-row measurement detects these differences; no new NT–LXX/SP Cumulative coordinate field is appointed."
},
{
"id": "CF09",
"draft_line": 32,
"paragraph_start": "Native LXX Cainan clarifies",
"claim": "Source135/130 versus NT70/70 gives successive comparison changes65/60; the compressed edge spans140.",
"source_locators": [
{
"source": "File18",
"section": "4.2",
"line_start": 1712,
"line_end": 1735,
"heading": "### 4.2 Post-Flood to Patriarchs: LXX Regular-Minimum"
},
{
"source": "File43",
"section": "3.4",
"line_start": 657,
"line_end": 754,
"heading": "### 3.4 Genealogy chart"
}
],
"C_steps": [
"C1267",
"C1270"
],
"exact_artifact_bindings": [
"NT_complete_comparison_recurrence",
"NT_native_Cainan_interface"
],
"limits": "Cainan name, insertion and source130-year measure remain distinct from NT70-year carrier width."
},
{
"id": "CF10",
"draft_line": 34,
"paragraph_start": "The Rounded head interface",
"claim": "RoundedLXX5486, NTAdam5256 and RoundedMT4106 give230|1150; NTAdam equals RoundedLXXSeth in coordinate only.",
"source_locators": [
{
"source": "File54",
"section": "2.1",
"line_start": 235,
"line_end": 256,
"heading": "### 2.1 The 230 + 1150 division"
},
{
"source": "File54",
"section": "2.2",
"line_start": 257,
"line_end": 268,
"heading": "### 2.2 LXX Seth refinement"
},
{
"source": "File54",
"section": "8.1A",
"line_start": 589,
"line_end": 618,
"heading": "### 8.1A BJ’s explicit birth-law hermeneutic and File_62 routing"
}
],
"C_steps": [
"C1271",
"C1272"
],
"exact_artifact_bindings": [
"NT_Rounded_head_interface",
"NT_transfer_scope"
],
"limits": "No universal person/date map; no Moses/clutch import into File54."
},
{
"id": "CF11",
"draft_line": 36,
"paragraph_start": "Toledot adds",
"claim": "Eleven occurrences form ten sections; weighted Esau9/10 recovers occurrence balance but fails reflection because images3/2 remain distinct.",
"source_locators": [
{
"source": "File70",
"section": "B.1",
"line_start": 2977,
"line_end": 2994,
"heading": "## B.1 Ten major sections and eleven formula occurrences"
}
],
"C_steps": [
"C1023–C1028"
],
"exact_artifact_bindings": [
"inherited_structural_review",
"inherited_technical"
],
"limits": "Multiplicity preserves the measure, not section reflection, chronological midpoint or semantic equivalence."
},
{
"id": "CF12",
"draft_line": 38,
"paragraph_start": "The primary NT path supplies",
"claim": "Seventy-seven70-year intervals form eleven490 blocks with twelve reflection-compatible boundaries.",
"source_locators": [
{
"source": "File43",
"section": "3.4",
"line_start": 657,
"line_end": 754,
"heading": "### 3.4 Genealogy chart"
},
{
"source": "File54",
"section": "8.6",
"line_start": 678,
"line_end": 710,
"heading": "### 8.6 The Luke–BJ–Conquest–Christ chiasm: 30 + 50 + 30 jubilees"
}
],
"C_steps": [
"C1029"
],
"exact_artifact_bindings": [
"inherited_structural_review",
"inherited_technical"
],
"limits": "The separate AD65–135 extension is excluded."
}
],
"validation": {
"word_range": true,
"claim_count": 12,
"all_source_sections_uniquely_located": true,
"new547_subtotal_matches_adopted_model": true,
"all_bound_files_unchanged": true,
"no_new_numeric_family": true,
"no_Moses_clutch_import": true
},
"scope": "Uses inherited C1131 main/technical results and reviewed C1265–C1272 integration; no further research actions or new statistical evidence."
}
},
{
"path": "prep/claim_source_status_C1315.json",
"sha256": "2da670a15fd4c592a193c95a6d7e780da14d3a922bbe43b226b3032a98235263",
"content": {
"status": "Proposed reader claim/source/status table; prep only",
"coverage": "Main new explanations throughC1315; publication/register entries do not count as new arithmetic discoveries.",
"created_utc": "2026-09-28T06:22:47.367932+00:00",
"reader_legend": {
"source_premise": "A retained reading, selected reconstruction, anchor, count convention or source-appointed subdivision.",
"calculation": "A verified consequence of those inputs and the stated operation.",
"conditional_mechanism": "A rule that explains a whole source field when its declared inputs are fixed.",
"interpretive_comparison": "Literary,theological or historical meaning attached to the arithmetic; not produced by the calculation alone."
},
"rows": [
{
"id": "SP_inputs",
"family": "SP source ages",
"claim": "The supplied half/equality relations and first-five460 span organize the early age packet; together with the stated cap observations they recover a conditional age family.",
"status": "Source premises and conditional reconstruction",
"retained": "The source age relations, exact selected interior ages where not determined, completed-count convention and status of cap observations.",
"sources": [
"File18 §§2.1.3,3.1",
"File51a §8.3"
],
"evidence_steps": "C1132–1150",
"scope": "The cap inverse consumes its own output measurements; it supplies no independent testimony for those inputs.",
"reader_priority": "supporting"
},
{
"id": "SP_cap",
"family": "SP cap and Cumulative changes",
"claim": "Located age losses and baseline slack generate the complete nine-row cap field. Only Jared,Methuselah andLamech shorten, by115,249 and124; their488 reduction feeds the Cumulative field.",
"status": "Conditional local mechanism",
"retained": "Ordered source ages, nativeG2 Noah–Flood binding, inclusive capacity and selected baseline lives; Noah is outside the nine-row cap.",
"sources": [
"File18 §§2.1.3,3.1,3.1.3"
],
"evidence_steps": "C953–983 inherited; C1132–1150 new source/slack explanation; C1286,C1305",
"scope": "The rule explains the complete received field under these inputs; it does not identify historical priority between baselines.",
"reader_priority": "main"
},
{
"id": "row_grammar",
"family": "Regular and Cumulative row grammar",
"claim": "Repartitioning and lifespan adjustment reconstruct all19 shared MT/LXX row changes and the complete28-row post-Flood comparison. Native Cainan contributes130 to Regular and460 to Cumulative measurement.",
"status": "Exact full-family reconstruction from supplied rows",
"retained": "Baseline rows, named supports, source selections and native incidence. Five amplitudes describe the MT/LXX changes; four require the additional40+60=100 relation.",
"sources": [
"File18 §§1.6,2–4,4A"
],
"evidence_steps": "C1151–1189; C1295–1296,C1304,C1315",
"scope": "Ordinary row formulas and SP inclusive cap counts retain separate types. Extracted amplitudes are not extra independent observations.",
"reader_priority": "main"
},
{
"id": "round_residual",
"family": "Rounded residuals",
"claim": "Resolved row rounding and accumulated residuals recover complete exact fields. A residual-bearing source shift composes correctly; rounded values alone can lose the original decomposition.",
"status": "Proved operation relation with complete source applications",
"retained": "The measure being rounded, row boundaries, source count conventions, anchor and exact residual information where recovery is requested.",
"sources": [
"File51a §§3.1,3.4,16.1–16.2",
"File18 §3.1"
],
"evidence_steps": "C1190–1222; C1278–1279; C1297–1298,C1305–1306",
"scope": "Cap-round compatibility holds for consistently resolved counts. Retaining residuals preserves information rather than discovering missing source data.",
"reader_priority": "main"
},
{
"id": "rectangle",
"family": "SP equal-gain rectangle",
"claim": "The source-row and cap mechanisms supply the genealogical contributions to2760 and11960. With the declared frame and7/10-year openings, P andJ each add40 and preserve9200.",
"status": "New provenance for an established exact comparison",
"retained": "MT baseline placements, SP native-frame choice, seven-year regular wrapper, ten-year cumulative opening and Exodus1446.",
"sources": [
"Strategy §4.3",
"File18 §§3.1–3.2,6C"
],
"evidence_steps": "C508,C523,C763–764 inherited; C1223–1229 new provenance; C1312",
"scope": "Before the openings,3C−13R=61; their3×10−13×7 contribution removes61. The cap alone does not force equal gains.",
"reader_priority": "main"
},
{
"id": "Moses",
"family": "Moses-centred path",
"claim": "All25 nodes are generated by the source path. Its five Rounded blocks130|490|1030|130|800 explain the connected430/490 spans; the strict Actual129|801 partition becomes130|800 while preserving930.",
"status": "Complete calculation and conditional component comparison",
"retained": "Selected source intervals, narrative/event edges, Moses1526, row-rounding order and named cuts.",
"sources": [
"File51a §§3.1,7A.1–7A.5"
],
"evidence_steps": "C1232–1252; C1287",
"scope": "The130|800 comparison with Adam is arithmetic. “Second Adam” is the source’s typological reading; Arphaxad is not assigned a130 begetting age or930 lifespan.",
"reader_priority": "main"
},
{
"id": "kernel",
"family": "Regular kernel",
"claim": "Named row changes generate1250/650; the finite Terah/Cainan/Sojourn field generates405. The fivefold description holds exactly when C=1.3u andT=.6u.",
"status": "Exact source-field reconstruction plus observed calibration",
"retained": "Row supports,u100,T60,C130,S215 and their source meanings. The two calibration conditions do not determineS.",
"sources": [
"Strategy §§4.1–4.2",
"File18 §§1.3.1,1.6,2–4",
"File04 §2.4",
"File00 §3.3.1",
"File07 §2.11.1a"
],
"evidence_steps": "C1253–1264; C1292,C1312",
"scope": "The common-row1250/650 comparison is Cainan-matched/OFF; nativeLXX gives1380/780. The formula does not establish a historical generator of ancestral ages.",
"reader_priority": "main"
},
{
"id": "NT",
"family": "NT comparison",
"claim": "The complete22-name NT-to-source comparison obeys the local interval recurrence. Ten SP/LXX births agree fromShelah throughJacob while seven lifespan differences total547.",
"status": "Integration of complete supplied fields",
"retained": "NT named slots and70-year metric, source birth frames, common-name incidence and nativeCainan.",
"sources": [
"File43 §3.4",
"File18 §§2–4",
"File54 §§1–2"
],
"evidence_steps": "C862–865 inherited rule; C1265–1272 new complete transfer; C1291",
"scope": "The birth comparison cannot see the life differences; it does not appoint a new NT Cumulative chronology. The230|1150 head partition is an inherited correspondence.",
"reader_priority": "main"
},
{
"id": "inverse_interface",
"family": "Rounded-to-inverse interface",
"claim": "The reconstructed Regular genealogy and File52c’s separately appointed event nodes reproduce all three admitted original Regular component words, feeding the inherited14720 and16000 completions.",
"status": "Verified interface to an inherited calculation",
"retained": "Source cut roles, Nativity6,Conquest1406,selectedFlood2456, one-pass decimal rule and placeholder policy.",
"sources": [
"LatestFile52c §§2.1,3.3–3.4",
"File51a §3.1"
],
"evidence_steps": "C1058–1070 inherited; C1273–1280 interface; C1288,C1300,C1310",
"scope": "Arphaxad andFlood retain distinct roles at2456; the Cumulative14006/4836 path stays separate. No second reversal or new inverse member.",
"reader_priority": "bridge"
}
],
"source_sha256": {
"Strategy": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/Strategy.md",
"sha256": "9c9aa357f5483b3af1dbb5f0025ee514fa28160576a037be03037aa49bf01476"
},
"File18": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/38-File_18.Chronological_Data_Tables-20260919-141048-.md",
"sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5"
},
"File51a": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/39-File_51a.Rounded_Scaffold_Mod5_Architecture.md",
"sha256": "d8aa38afb2a2df8f3bb57937f5d3dea897c286c034a1bee7398938d30e7bd77c"
},
"File52c": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/File52c_latest.md",
"sha256": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530"
},
"File43": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/06-File_43.Genealogical_Bridge-2-.md",
"sha256": "dde4eca7c1f64eaef93f1084cd6aef99776b38c7673c680e8ff8185c0fc5a987"
},
"File54": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/07-File_54.Luke_70_Year_Genealogical_Lattice-5-.md",
"sha256": "1ff1914fa180de2aba3e8bf1bb81a3478dc1f8b0153dc722019ff392c3c87899"
},
"File04": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/34-File_04.Jacob_Jubilee_Standard_LXX_33_397_Sojourn-8-.md",
"sha256": "77d7b50e5db4cbc97e01e41bcbeb8b1d4344e839ddd38bdd118c675ac8eea4e4"
},
"File00": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/35-File_00.Repository_Foundation_Axiom_Engine_Source_Map-9-.md",
"sha256": "ed718a9e579978a90eefb377911933312de10a3eae1221e59758158b994de64e"
},
"File07": {
"path": "/workspace/scratch/1b40da62dcbd/c1132_c1431/evidence/sources/22-File_07.Creation_Seed_Decimal_Root-1-1-.md",
"sha256": "1aa4e02dd346c8e0879c8d196bd76c95c9069237fe41d1ca816175f84d3c162c"
}
},
"editorial_advice": "Use the eight main/supporting rows in the reader source note; the inverse-interface row is a short connective note. Keep exact retained-premise and scope text in the technical index if the reader table becomes dense."
}
}
]
}
Evidence
490d Claim Source Index C1431.json
Linked sources and evidence
- File 52c
- File 62
- File 15
- File 18
- File 58
- File 00
- File 51a
- File 04
- File 54
- File 43
- File 70
- File 63
- File 61
- File 60
- File 07
Edition and provenance
490d_Claim_Source_Index_C1431.json
SHA-256 d3df27590be8292a78814f8728361d1adc1b74d4658e71e10f253084d4bbcdbb
C480–C1634/Research_Cycles/C1132_C1431_Recovered/deliverables/490d_Claim_Source_Index_C1431.json