[
  {
    "id": "P01",
    "source": "FILE_18.md",
    "start_line": 1990,
    "end_line": 1999,
    "section": "§6B MT restored cumulative table",
    "purpose": "MT source field and compressed 5290-to-Christ annotation",
    "documentary_class": "chronology-coordinate control plus compressed comparison annotation",
    "required_substring": "5296–5289",
    "use_in_C275_premise_audit": true,
    "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
    "excerpt_sha256": "d742f85641037e2ca5657acfbcc59892e4ada4081a702c3d4e54d2ff120a1c20",
    "excerpt": "| Patriarch | Lifespan | Standard, Moses | With Cainan, Moses Line | 7-year span with Cainan, start – end | Note |\n|---|---:|---:|---:|---|---|\n| Apparent Adam — derived companion | — | 14036 | 14496 | 14501–14494 | Aaron `14499` whole-year / `14499.5` exact; derived only, not a raw row |\n| Adam, Year 6 | 930 | 14006 | 14466 | 14471–14464 | `14466` versus `1446`, Exodus |\n| Seth | 912 | 13076 | 13536 | 13541–13534 | — |\n| … | … | … | … | … | … |\n| Jared | 962 | 9454 | 9914 | 9919–9912 | — |\n| Flood | — | 4831 | 5291 | 5296–5289 | `5290` → Christ, Key of 23 |\n| Arphaxad | 438 | 4831 | 5291 | 5296–5289 | — |\n| Cainan | 460 | N/A | 4853 | 4858–4851 | Inserted variable |\n"
  },
  {
    "id": "P02",
    "source": "FILE_18.md",
    "start_line": 2023,
    "end_line": 2031,
    "section": "§6C SP cumulative table",
    "purpose": "SP source field only; no local 4715 translation stated in this table",
    "documentary_class": "chronology-coordinate control",
    "required_substring": "4716–4709",
    "use_in_C275_premise_audit": true,
    "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
    "excerpt_sha256": "199188348d83f15e5b50b82ef5b9a03fcff52f6cac6a733495771db564f96e69",
    "excerpt": "| 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 |\n"
  },
  {
    "id": "P03",
    "source": "FILE_18.md",
    "start_line": 2059,
    "end_line": 2066,
    "section": "§6D LXX cumulative table",
    "purpose": "Native ON source field and 460 Cainan lifespan",
    "documentary_class": "chronology-coordinate control",
    "required_substring": "5750–5743",
    "use_in_C275_premise_audit": true,
    "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
    "excerpt_sha256": "70a03650c2104015502764db75bb5ae57ea0ef7cf3d250a89956704b919a9cac",
    "excerpt": "| 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"
  },
  {
    "id": "P04",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 82,
    "end_line": 95,
    "section": "§3.1 Cumulative Flood and Shem fields",
    "purpose": "Held ON/OFF fields and matched 600 source displacement",
    "documentary_class": "chronology-coordinate control",
    "required_substring": "Each matched Shem birth-to-death field",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "dfa75c5d59f1df814d32662f792e7057e15094e1c540c8d3c7b2347442a62151",
    "excerpt": "### 3.1 Cumulative Flood and Shem fields\n\nAll values in this table are Nisan-coordinate field boundaries; apply the phase rule above to obtain paired boundaries.\n\n| Tradition/state | Flood / Shem-death comparison field | Shem birth / Noah-death field |\n|---|---|---|\n| LXX native, Cainan ON | **5750–5743** | **6350–6343** |\n| LXX leveled, Cainan OFF | **5290–5283** | **5890–5883** |\n| MT restored, Cainan ON | **5296–5289** | **5896–5889** |\n| MT native, Cainan OFF | **4836–4829** | **5436–5429** |\n| SP restored, Cainan ON | **5176–5169** | **5776–5769** |\n| SP native, Cainan OFF | **4716–4709** | **5316–5309** |\n\nEach matched Shem birth-to-death field is **600** years. Cumulative Cainan contributes **460**. The comparison labels retain separate node classes: a cumulative Flood marker, cumulative Shem-death seam, and Arphaxad boundary are not thereby identical regular historical events. File_18 additionally distinguishes each source's chief Flood-marker convention [S2].\n"
  },
  {
    "id": "P05",
    "source": "FILE_09.md",
    "start_line": 104,
    "end_line": 110,
    "section": "§0.1 Mirror/phase control states",
    "purpose": "Fixed January AD1 global axis and suffix inversion",
    "documentary_class": "fixed coordinate/phase convention",
    "required_substring": "January-centered",
    "use_in_C275_premise_audit": true,
    "source_sha256": "45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e",
    "excerpt_sha256": "58e4e6ad027588bcc9ba87430597a9f235a60243cb280a930fc385b6b16157ba",
    "excerpt": "| Formal paired Mirror phase-consistency proof state | proof notation: `n = 0`; `t = 0.5`; phase correction `q − p` applied only after the civil-year skeleton | proof that suffix inversion preserves `.5` phase distance and equal component spans | Author decision applied. The valid paired display gives equal exact components: `1407t BC → AD 1406t = 2812` and `1406n BC → AD 1407n = 2812`. The invalid same-order display would produce `2811.5` and `2812.5`, and its AD-side internal width is `1.5` years rather than `.5`. This proof is a phase-consistency check, not a new civil-span operator. |\n| Julian Jan-1 Mirror-axis phase model | Oct 1 = `t`; Apr 1 = `n`; Jan 1 = Mirror-axis / center point | simplified Julian phase-coordinate model for exact paired-date work | Author decision applied. The model maps Tishri to the start of Oct 1 and Nisan to the start of Apr 1. The `t/n` pair is January-centered. This supplies the exact calendar reason that paired Mirror dates use suffix inversion. |\n| Second-Adam / circumcision hinge state | Dec 25, 1 BC → Jan 1, AD 1 | repository Mirror hinge / Day-8 naming and circumcision tradition | Preserved as theological / calendrical hinge. The Mirror axis is the start of Jan 1, AD 1; it is not a July-centered axis. |\n| January-centered `t/n` pair state | `Yt/(Y−1)n BC`; AD Mirror `AD (Y−1)t/Y n` | half-year pair centered on Jan 1 | Active for phase-resolved Mirror work. The pair’s BC center is Jan 1 of `(Y−1) BC`; its AD center is Jan 1 of `AD Y`. The self-mirrored pair brackets the Jan 1, AD 1 hinge. |\n| July-centered `n/t` contrast state | same-year `Yn/Yt` | half-year pair centered on July 1 | Contrast state only. It is not active for Creation / Conquest paired Mirror work because it would center the pair on July 1 rather than Jan 1. |\n| Standalone phase-date polarity caveat | single exact `t` or `n` Mirror dates; odd single-date spans | polarity-flip warning for non-paired phase dates | Author decision applied as a compact caveat. Standalone Nisan or Tishri dates may flip phase polarity across their own midpoint because exact single-date Mirror spans such as `2813` and `2811` are odd. This does not contradict the paired `t/n` state, whose Jan-1 average is even. Full mechanics are recommended for a later Mirror-control file. |\n| Plague-period phase-pair example | `1447t/1446n BC → AD 1446t/1447n` | example of the generic suffix-inversion rule by dependency | Source-control example only in `File_09`. The plague-period pair is not a new File_09 anchor. It illustrates that `AD 1446n/1447t` would not preserve the `.5` relation and must not replace the phase-resolved Mirror display. |\n"
  },
  {
    "id": "P06",
    "source": "FILE_09.md",
    "start_line": 116,
    "end_line": 117,
    "section": "§0.1 restored Flood-week node control",
    "purpose": "5289 is a cumulative terminal member; preserve node class",
    "documentary_class": "chronology-coordinate control",
    "required_substring": "terminal member",
    "use_in_C275_premise_audit": true,
    "source_sha256": "45851004c5864229ebf6a896f9099819a08d8926715d3e97e4bc3985c4a3876e",
    "excerpt_sha256": "f35b6a9e23277601c85d58b1403bc1df8272e619aaf5fccf4ed5aadb500e2174",
    "excerpt": "| Restored cumulative 2nd Cainan Flood Week state | `5296–5289 BC`; `+460` | restored cumulative Flood Week envelope | Active author decision. `5289 BC` belongs to the terminal member of this restored cumulative Flood Week. |\n| Arphaxad-Jacob arc state | 5289 BC → 1859 BC; `3430`; `70 × 49`; `7 × 490` | restored cumulative Flood Week terminal / Arphaxad-side boundary to Jacob death | Arithmetic fact under same-side BC span and Jubilee / Danielic factorization. The `5289 BC` label is now resolved as the terminal member of the restored cumulative 2nd Cainan Flood Week and retained as the source’s Flood / Arphaxad boundary label. |\n"
  },
  {
    "id": "P07",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 234,
    "end_line": 253,
    "section": "§7 LXX outer boundary",
    "purpose": "5290 source radius, Cainan restoration and 25/23 expansion motivate the value without specifying a local translation",
    "documentary_class": "source-coordinate relation",
    "required_substring": "5290=23",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "a426adea0bd3a630e3fd6a050ead926e20df489ad4da8a1d08620a574b88ac2c",
    "excerpt": "## 7. LXX outer boundary, Cainan restoration, and week reversal\n\nThe corrected native LXX boundary is **5751t/5750n BC**, not 5750t/5750n.\n\n| Cumulative LXX state | BC opening boundary | Paired reflection | Self-Mirror width |\n|---|---|---|---:|\n| Cainan ON | **5751t/5750n BC** | **AD 5750t/5751n** | **11500 = 23×500** |\n| Cainan OFF | **5291t/5290n BC** | **AD 5290t/5291n** | **10580 = 23×460** |\n\nThe difference between these full widths is **920 = 460+460**. From the pair centers to the fixed axis:\n\n\\[\n5290=23\\times230\\xrightarrow{25/23}5750=25\\times230.\n\\]\n\nThus each OFF center moves outward **460** years and reaches the ON boundary. Equivalently:\n\n\\[\n10580\\times25/23=11500.\n\\]\n"
  },
  {
    "id": "P08",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 268,
    "end_line": 290,
    "section": "§8 common 5290 translation",
    "purpose": "Direct declaration of the shared MT/LXX operation and resulting landings",
    "documentary_class": "declared placement followed by derived relations",
    "required_substring": "Advance the middle",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "7cc744fe25ea1c4e09d5b8a436a3fec36517f18ad51a7d80ee7862b6376feda2",
    "excerpt": "## 8. The four cumulative Flood weeks and the 6+1+6 arrangement\n\nThe four descending openings are:\n\n| Field | Opening | Closing |\n|---|---|---|\n| LXX ON | **5751t/5750n BC** | **5744t/5743n BC** |\n| MT ON | **5297t/5296n BC** | **5290t/5289n BC** |\n| LXX OFF | **5291t/5290n BC** | **5284t/5283n BC** |\n| MT OFF | **4837t/4836n BC** | **4830t/4829n BC** |\n\nTheir opening-coordinate gaps are **454+6+454**. Advance the middle MT-ON and LXX-OFF weeks **5290 = 23×230** years:\n\n| Boundary | Original BC phase pair | Translated pair |\n|---|---|---|\n| MT opens | 5297t/5296n | **7t/6n BC** |\n| LXX opens | 5291t/5290n | **1t BC / AD 1n** |\n| MT closes | 5290t/5289n | **AD 1t/2n** |\n| LXX closes | 5284t/5283n | **AD 7t/8n** |\n\nOn the Nisan rail the combined sequence is **6 BC → AD 1 → AD 2 → AD 8**, giving **6+1+6 = 13**. Each source still has its own seven-year interval; the two overlap by one year. Dean reads this as the fallen-creation/curse pattern, with the final year of **6+1+6+1 = 14** initially implied.\n\nThe six-year MT/LXX displacement is a relationship between these selected cumulative fields. It is distinct from the SP regular one-year personal mechanism discussed later.\n"
  },
  {
    "id": "P09",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 292,
    "end_line": 309,
    "section": "§9 Shem completion",
    "purpose": "Join displayed after 5290 and the additional 598 are supplied",
    "documentary_class": "derived relation conditional on placement",
    "required_substring": "Increasing the forward translation",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "d245cb9143553c74302d494beb704ad386fd24cb3898cb7ba6718b88de9b2172",
    "excerpt": "## 9. Shem's 600/598 and completion of the fourteen-year window\n\nAdding **600** to the cumulative Flood date produces the corresponding Shem-birth date. Increasing the forward translation by **598** leaves the landing **two years earlier**:\n\n\\[\n5290+600=5890,\\qquad5290+598=5888=23\\times256=23\\times2^8.\n\\]\n\nFor MT ON, the Shem week is **5897t/5896n → 5890t/5889n BC**. Advancing it **5888** years gives **9t/8n → 2t/1n BC**. Reflecting that complete interval gives **AD 1t/2n → AD 8t/9n**.\n\n| Component of the completed construction | Opening | Closing | Years |\n|---|---|---|---:|\n| Translated MT Flood week | **7t/6n BC** | **AD 1t/2n** | **7** |\n| Reflected translated MT Shem week | **AD 1t/2n** | **AD 8t/9n** | **7** |\n\nThis supplies the previously implied final boundary, giving **7+7 = 14**, or the earlier partition **6+1+6+1**. The LXX Flood week retains its own dates; it is not moved to manufacture this completion.\n\nThe shared paired boundary is **AD 1t/2n**, centered on January AD 2. Dean calls this Christ-centered in the nativity-period construction. Do not identify this junction with the distinct fixed Mirror axis at January AD 1. The second week is the reflection of the translated **Shem** week; it is not the direct reflection of the first Flood week.\n"
  },
  {
    "id": "P10",
    "source": "MIRROR_BILATERAL.md",
    "start_line": 208,
    "end_line": 234,
    "section": "§6 central completion",
    "purpose": "General end-to-start theorem is conditional on the joining requirement",
    "documentary_class": "conditional theorem and inherited placement",
    "required_substring": "meet end-to-start precisely when",
    "use_in_C275_premise_audit": true,
    "source_sha256": "152ceaf2b3641ecf9dc1f5f5049640a2b644a881a7c9e674ede099a89f52b0d5",
    "excerpt_sha256": "21e47da55a2457b674b5caccd062329c6ef4628965839b8b9c201663ed5d7739",
    "excerpt": "## 6. Why the central completion joins at January AD 2\n\nThe supplied translations reproduce exactly. Signed centers make their relationships concise:\n\n| Source | Translated Flood week \\(F\\) | Translated Shem week \\(H\\) | Reflected Shem week |\n|---|---|---|---|\n| MT ON | [−6, 1] | [−8, −1] | [1, 8] |\n| SP OFF | [−1, 6] | [−3, 4] | [−4, 3] |\n| LXX OFF | [0, 7] | [−2, 5] | [−5, 2] |\n\nThe source displacement is 600; the additional translation is 598. Therefore \\(H=T_{-2}F\\) and\n\n\\[\n\\mathcal R(H)=T_2\\mathcal R(F).\n\\]\n\nMore generally, for a week \\(F=[a,a+w]\\) and residual displacement \\(r\\), its partner is \\([r-a-w,r-a]\\). The two weeks meet end-to-start precisely when\n\n\\[\na+w=r-a-w,\n\\quad a=\\frac r2-w,\n\\quad\\text{junction}=\\frac r2.\n\\]\n\nWith \\(w=7\\), \\(r=600-598=2\\), this forces \\(a=-6\\) and the junction \\(x=1\\): **January AD 2**, displayed as **AD 1t/2n**. The composite operation \\(T_2\\mathcal R\\) is a reflection about that junction; the underlying Mirror remains fixed at January AD 1.\n\nThis derives the handoff’s central 7+7 completion from the declared residual and week length. It also explains why the reflected Shem week, rather than a direct reflection of the Flood week, completes the construction. Separately, translated SP Flood is the direct reflection of translated MT Flood, as supplied.\n"
  },
  {
    "id": "P11",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 542,
    "end_line": 556,
    "section": "§14.1 SP widths",
    "purpose": "4715/5313 explicitly supplied; separate from canonical SP input coordinates",
    "documentary_class": "declared placement",
    "required_substring": "4715 = 23×205",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "7b970e19eb439887c29520a54d2e6d4749d78d1a307824b90e2b9c03c14d9a12",
    "excerpt": "## 14. Inserting SP into the Christ-period Flood/Shem Mirror field\n\n### 14.1 Correct SP translation widths\n\n| SP state | Flood translation | Shem translation |\n|---|---:|---:|\n| Cainan OFF | **4715 = 23×205** | **5313 = 4715+598 = 23×231 = 69×77** |\n| Cainan ON | **5175 = 23×225** | **5773 = 5175+598 = 23×251** |\n\nThe conversational factors **23×105** and **23×125** were transcription errors for **23×205** and **23×225**. Adding 460 to both the SP source dates and the translation width preserves the same landings in the ON state.\n\nFor example:\n\n- **5317t/5316n BC**, advanced **5313**, lands at **4t/3n BC**. Its week closes at **AD 4t/5n**.\n- **4717t/4716n BC**, advanced **4715**, lands at **2t/1n BC**. Its week closes at **AD 6t/7n**.\n"
  },
  {
    "id": "P12",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 558,
    "end_line": 573,
    "section": "§14.2 SP/MT reflection",
    "purpose": "Global transformed-interval identity follows the declared translation table",
    "documentary_class": "derived relation conditional on placement",
    "required_substring": "This concerns the transformed intervals",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "9bf84722b9cf0b6f1162ed1d91f750ec6173f3624aa325921a37d4dc6841921e",
    "excerpt": "### 14.2 Flood weeks and their paired reflections\n\n| Source | Translated Flood interval | Reflected interval |\n|---|---|---|\n| MT ON, translate 5290 | **7t/6n BC → AD 1t/2n** | **2t/1n BC → AD 6t/7n** |\n| SP OFF, translate 4715 | **2t/1n BC → AD 6t/7n** | **7t/6n BC → AD 1t/2n** |\n| LXX OFF, translate 5290 | **1t BC / AD 1n → AD 7t/8n** | **8t/7n BC → 1t BC / AD 1n** |\n\nThe central exact identity is:\n\n\\[\n\\boxed{\\operatorname{Mirror}(\\text{translated SP Flood week})\n=\\text{translated MT Flood week}}.\n\\]\n\nThe converse follows from reflection being an involution. This concerns the transformed intervals, not identity of the original source events or calendars.\n"
  },
  {
    "id": "P13",
    "source": "MIRROR_COMPREHENSIVE.md",
    "start_line": 575,
    "end_line": 583,
    "section": "§14.3 Shem widths",
    "purpose": "The same fixed translation increment is used for each source",
    "documentary_class": "declared increment and derived relation",
    "required_substring": "two years earlier",
    "use_in_C275_premise_audit": true,
    "source_sha256": "8a857e112e4a5b774768f92f9872fc75446b202414baa9e9ab788214a6f71eed",
    "excerpt_sha256": "f131bdf571e4de21d34c79701d6ba90e2ca8bf253b68091a537a6e26bbe37368",
    "excerpt": "### 14.3 Shem weeks: source +600, translation +598\n\n| Source | Translated Shem interval | Reflected interval |\n|---|---|---|\n| MT ON, translate 5888 | **9t/8n BC → 2t/1n BC** | **AD 1t/2n → AD 8t/9n** |\n| SP OFF, translate 5313 | **4t/3n BC → AD 4t/5n** | **5t/4n BC → AD 3t/4n** |\n| LXX OFF, translate 5888 | **3t/2n BC → AD 5t/6n** | **6t/5n BC → AD 2t/3n** |\n\nEach translated Shem interval is **two years earlier** than that source's translated Flood interval. Each reflected Shem interval is **two years later** than its corresponding reflected Flood interval. This sign reversal follows from reflection, and preserves the full 600 source lifespan while exposing the 598 difference between translation widths.\n"
  },
  {
    "id": "P14",
    "source": "AXIS_REPORT.md",
    "start_line": 40,
    "end_line": 49,
    "section": "§1.1 boundary levels",
    "purpose": "5290 radius is retained while domain assignment remains open",
    "documentary_class": "retained marker with explicit limit",
    "required_substring": "domain assignment left open",
    "use_in_C275_premise_audit": true,
    "source_sha256": "ed20797a44cc5b4c201012017f66afb5c6a3a3f8951c1d63f21997b0cb2bfdbc",
    "excerpt_sha256": "e7fe2b15d587780dc8ee07befc97f8a4571e1b32c96313b2eee6c705edf071d1",
    "excerpt": "| −y radius | BC boundary display | Assignment in this study | +y reflected boundary, retained in the model |\n|---|---|---|---|\n| −2116 = −4×529 | 2117t/2116n BC | Regular Terah → Abram | AD 2116t/2117n |\n| −4232 = −8×529 | 4233t/4232n BC | Regular Creation → Terah, excluding Terah; cumulative Terah → Abram | AD 4232t/4233n |\n| −5290 = −10×529 | 5291t/5290n BC | Flood-related marker; domain assignment left open | AD 5290t/5291n |\n| −6348 = −12×529 | 6349t/6348n BC | Cumulative Creation → Terah, excluding Terah | AD 6348t/6349n |\n\nThe figure omits the repeated +y date labels, as requested. The table records them for reproducibility. **6398**, used once in the initial discussion, is corrected to **6348=3×2116**.\n\nThese assignments specify which translation is being investigated for each source field. The common comparison anchors remain available across fields: Entry **1877t/1876n BC**, Exodus **1447t/1446n BC**, and Conquest **1407t/1406n BC**, with their appropriate reflected counterparts. Moses’ **1526/1446/1406** form the principal biography; **1486** is a secondary age-40 node, retained where it explains an equation but removed from the principal comparison columns. **1846** remains a secondary Entry-family comparison.\n"
  },
  {
    "id": "P15",
    "source": "AXIS_REPORT.md",
    "start_line": 904,
    "end_line": 906,
    "section": "§16 source-qualified 3+7 background",
    "purpose": "Routes to the immediate S11 branch; does not merge G3 companion with G2",
    "documentary_class": "source-qualified corroborating subdivision",
    "required_substring": "5296→3709→6 BC",
    "use_in_C275_premise_audit": true,
    "source_sha256": "ed20797a44cc5b4c201012017f66afb5c6a3a3f8951c1d63f21997b0cb2bfdbc",
    "excerpt_sha256": "51572833870989761f4a58716d34bd89075f683e6aa2d315044ebf4c10563ad8",
    "excerpt": "Dean interprets the MT/SP/LXX cumulative-Flood intersections with Creation through **5+1+1+6**, with another +1 implied. This report preserves that proposed larger template and the exact component constructions supplied here. It does not claim that every segment of that entire cross-tradition sequence has now been assigned and independently audited as one continuous chain. That mapping is the strongest bounded continuation after this synthesis.\n\nThe earlier **3+7×529** handoff likewise remains source-qualified: **5296→3709→6 BC** uses MT cumulative ON, SP regular G3 companion Noah, and the Christ anchor. It is not silently imported into the main Gear-2 tables. Its total 5290 can support the retained trunk marker without changing its source identities. [S11]\n"
  },
  {
    "id": "P16",
    "source": "AXIS_REPORT.md",
    "start_line": 1039,
    "end_line": 1041,
    "section": "Appendix D S11 and execution settings",
    "purpose": "Identity of immediate branch reference and retained settings",
    "documentary_class": "documentary reference",
    "required_substring": "3plus7x529",
    "use_in_C275_premise_audit": true,
    "source_sha256": "ed20797a44cc5b4c201012017f66afb5c6a3a3f8951c1d63f21997b0cb2bfdbc",
    "excerpt_sha256": "26fdf659871642a6c0c4cc25d811f22dbc7e6cfbe68957824f3943ec3eb8bd61",
    "excerpt": "**[S11] Related branch:** *490d_Branch_Handoff_3plus7x529_Flood_Noah_Christ_20260921 (2).md*. Its source-state qualifications remain separate from the current Gear-2 core.\n\n**Execution settings:** no astronomical year-zero relabeling; normal Gear 2 in the core; regular Cainan insertion +130 upstream; cumulative insertion +460 upstream through Arphaxad, with Shelah onward fixed; full seven-year cumulative envelopes; original and reflected phase pairs distinguished; source event, generated coordinate, converted width, and theological role recorded separately. No canonical source file or main-window checkpoint was changed.\n"
  },
  {
    "id": "P17",
    "source": "BRANCH_3PLUS7.md",
    "start_line": 7,
    "end_line": 20,
    "section": "§1 main observation",
    "purpose": "Explicitly subdivides the already established 5290 span; target 6BC is retained",
    "documentary_class": "source-qualified subdivision of an already retained span",
    "required_substring": "established 5290-year",
    "use_in_C275_premise_audit": true,
    "source_sha256": "ea021cd5963735311d196ead726b9920ba2742d51358fdbe26825c2fa31e1aed",
    "excerpt_sha256": "20960a481ba19d635bab1447ada4df7940c4db6342178206c6f1573d9179b832",
    "excerpt": "## 1. Main observation\n\nDean identifies a Noah-birth division of the established 5290-year cumulative-Flood-to-Christ comparison. All dates in the principal chain are BC:\n\n\\[\n\\boxed{5296\\xrightarrow{1587=3\\times529}3709\n\\xrightarrow{3703=7\\times529}6.}\n\\]\n\nThus **1587+3703=5290=(3+7)×23²**. The intermediate coordinate is an admitted SP Noah-birth station.\n\nThe controlling source labels are **MT cumulative, second Cainan ON**, at the 5296 Flood-week opening; **SP regular, G3 companion Noah birth**, at 3709; and the project’s **6 BC Christ-birth anchor**. Regular settings are full-430, Terah +60 OFF, and second Cainan OFF. The cumulative and regular Cainan selections are deliberately distinct.\n\nDean’s initial wording called 5296 “LXX cumulative, Cainan OFF.” The current LXX OFF field is **5290–5283**, whereas **5296–5289** is MT cumulative ON. Likewise, the regular LXX OFF G3 Noah birth is **3710**, while **3709** is SP’s G3 −1 companion. These corrections preserve the numerical observation.\n"
  },
  {
    "id": "P18",
    "source": "BRANCH_3PLUS7.md",
    "start_line": 22,
    "end_line": 38,
    "section": "§2 source membership",
    "purpose": "Source-qualified ladder and limits on historical birth identification",
    "documentary_class": "source-membership qualification",
    "required_substring": "not assert five independently established",
    "use_in_C275_premise_audit": true,
    "source_sha256": "ea021cd5963735311d196ead726b9920ba2742d51358fdbe26825c2fa31e1aed",
    "excerpt_sha256": "ddfc281f4505e1c925e9d5558ed60b8eb5fe0c38c1c93f926feb66542b256edb",
    "excerpt": "## 2. Full Nisan ladder and source membership\n\nEach row preserves the same **3×529 + 7×529** division. Every column below is **Nisan BC**.\n\n| MT cumulative ON Flood-week member | Regular Noah birth | Christ-period landing | SP identification | LXX OFF identification |\n|---:|---:|---:|---|---|\n| **5296n** | **3709n** | **6n** | G3 companion | — |\n| 5295n | 3708n | 5n | G2 primary | G2 |\n| 5294n | 3707n | 4n | G2 companion | — |\n| 5293n | 3706n | 3n | G1 primary | G1 |\n| **5292n** | **3705n** | **2n** | G1 companion | — |\n\nSP therefore supplies five consecutive annual selections, spanning four elapsed years. The first two intervals are always **1587** and **3703**. The terminal members belong to the previously retained Christ-period field; the table does not assert five independently established historical birth dates.\n\nDean’s final extension “5295/3705/2” is treated as an apparent typo for **5292/3705/2**: **3705+1587=5292**. This correction is arithmetic; explicit confirmation of the typo was not received before this report was requested.\n\nRegular LXX OFF G3 **3710n** would require **5297n→3710n→7n BC**. That cumulative member lies one year before the held MT ON Nisan field, so G3 supplies no complete Nisan chain within it.\n"
  },
  {
    "id": "P19",
    "source": "BRANCH_3PLUS7.md",
    "start_line": 53,
    "end_line": 59,
    "section": "§4 earlier partition and source basis",
    "purpose": "The same outer span already had a 5+5 partition; intermediate source differs",
    "documentary_class": "dependency disclosure",
    "required_substring": "same outer span",
    "use_in_C275_premise_audit": true,
    "source_sha256": "ea021cd5963735311d196ead726b9920ba2742d51358fdbe26825c2fa31e1aed",
    "excerpt_sha256": "aaf4cdb28360909ff6893326d9b87e66e49fd0e47277cf28982b1b9eb232f701",
    "excerpt": "## 4. What this adds to the earlier reports\n\nThe earlier cumulative–regular handoff already contains **5296→2651→6 BC**, a **5×529 + 5×529** partition. Dean’s new observation gives the same outer span an event-qualified SP intermediate point, **3709**, located **1058=2×529** years earlier than 2651. Hence the change from **5+5** to **3+7**.\n\nA bounded search found no earlier explicit occurrence of this particular **5296→3709→6** partition. The total and other uses of the component numbers were already known; exhaustive historical priority is not claimed.\n\nSource basis: the supplied **20 September MT cumulative–regular branch handoff** and **SP regular/cumulative Noah–Shem–Flood tables**, with **File_18 (20260919-141048), §§3, 4 and 6B–6D**, and the paired-phase convention of the **21 September 6877/598/299 handoff**. Arithmetic and seasonal checks were completed for the displayed chains. No canonical file was changed; the SP −1 companion remains local to SP Noah/Shem.\n"
  },
  {
    "id": "S01",
    "source": "FILE_18.md",
    "start_line": 1223,
    "end_line": 1237,
    "section": "§2.1.3 MT minimum table",
    "purpose": "Supplement: Adam3899/Jared3439",
    "documentary_class": "supplement only",
    "required_substring": "| Jared | 3439",
    "use_in_C275_premise_audit": false,
    "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
    "excerpt_sha256": "0acd59ac381a607a65f169f52d95777776bb843306deb093de5d6f394e7acec6",
    "excerpt": "#### 2.1.3 MT Minimum-Regular table\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Creation Week | 3906 | 3899 | 7 | — |\n| Adam | 3899 | 2969 | 930 | 130 |\n| Seth | 3769 | 2857 | 912 | 105 |\n| Enosh | 3664 | 2759 | 905 | 90 |\n| Kenan | 3574 | 2664 | 910 | 70 |\n| Mahalalel | 3504 | 2609 | 895 | 65 |\n| Jared | 3439 | 2477 | 962 | 162 |\n| Enoch | 3277 | 2912 | 365 | 65 |\n| Methuselah | 3212 | 2243 | 969 | 187 |\n| Lamech | 3025 | 2248 | 777 | 182 |\n| Noah | 2843 | 1893 | 950 | 500 |\n"
  },
  {
    "id": "S02",
    "source": "FILE_18.md",
    "start_line": 1689,
    "end_line": 1707,
    "section": "§4 LXX minimum introduction/table",
    "purpose": "Supplement: heading +1380 must not override row-specific offsets",
    "documentary_class": "supplement only",
    "required_substring": "| Jared | 4319",
    "use_in_C275_premise_audit": false,
    "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
    "excerpt_sha256": "2ddeeb9feb25695773cd54e9516ac278a768eb94794e2ecaa7ba5672a870fbaa",
    "excerpt": "Note:\nLXX Regular-Minimum = MT Minimum-Regular + `1380` years.\n\n### 4.1 Creation to Flood: LXX Regular-Minimum\n\n| Patriarch / event | Birth BC | Death BC | Lifespan | Begetting age |\n|---|---:|---:|---:|---:|\n| Creation Week | 5286 | 5279 | 7 | — |\n| Adam | 5279 | 4349 | 930 | 230 |\n| Seth | 5049 | 4137 | 912 | 205 |\n| Enosh | 4844 | 3939 | 905 | 190 |\n| Kenan | 4654 | 3744 | 910 | 170 |\n| Mahalalel | 4484 | 3589 | 895 | 165 |\n| Jared | 4319 | 3357 | 962 | 162 |\n| Enoch | 4157 | 3792 | 365 | 165 |\n| Methuselah | 3992 | 3023 | 969 | 187 |\n| Lamech | 3805 | 3052 | 753 | 182 |\n| Noah | 3623 | 2673 | 950 | 500 |\n| Flood | 3023 | 3022 | 1 | — |\n"
  },
  {
    "id": "S03",
    "source": "FILE_18.md",
    "start_line": 2457,
    "end_line": 2459,
    "section": "Appendix actual-page adjustment",
    "purpose": "Supplement: +215 and no +60, LXX5494",
    "documentary_class": "supplement only",
    "required_substring": "+215",
    "use_in_C275_premise_audit": false,
    "source_sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
    "excerpt_sha256": "520c9cfe36bcef0508abbf045cebc904c92c39391d013ff90847c28c14dcd698",
    "excerpt": "| Replacement page | Setting | Adjustment to minimum |\n|---|---|---|\n| Regular page, MT / LXX / SP tables | `+215`; no `+60`; LXX at the actual `5494` family; Lamech per §4A | Subtract 215. |\n"
  },
  {
    "id": "S04",
    "source": "AXIS_REPORT.md",
    "start_line": 62,
    "end_line": 90,
    "section": "§§1.2–1.3 pair translation and anchors",
    "purpose": "Supplement: P_b+W=Q_(W-b), compare reflected AD anchors",
    "documentary_class": "supplement only",
    "required_substring": "D_W(b,d)=W-b-d",
    "use_in_C275_premise_audit": false,
    "source_sha256": "ed20797a44cc5b4c201012017f66afb5c6a3a3f8951c1d63f21997b0cb2bfdbc",
    "excerpt_sha256": "661923fc52dd422e46bd329632929ba031154bd2b38ed77d2d34a6239961f629",
    "excerpt": "The paired reflection rule is:\n\n$$P_b=(b+1)t/bn\\text{ BC}\\quad\\longleftrightarrow\\quad Q_b=\\text{AD }bt/(b+1)n.$$\n\nThe centers of these pairs are −b and +b. Each pair spans half a schematic year. At the component level, reflection sends **BC yt to AD yn**, and **BC yn to AD yt**; ordering the reflected pair chronologically then produces the displayed AD t/n order.\n\nThus the Conquest comparison is **AD 1406t/1407n**, also writable in reverse display order as **AD 1407n/1406t**. **AD 1406n/1407t** is a different, 1.5-year interval. Merely reversing printed order must never reattach the suffixes to different numbers.\n\n### 1.3 One translation rule governs the tables\n\nAdvancing the BC pair by W years gives:\n\n$$P_b+W=Q_{W-b}=\\text{AD }(W-b)t/(W-b+1)n,$$\n\nwhen the result is on the AD side. Both seasonal checks agree:\n\n$$[(b+1)+(W-b)-1]=[b+(W-b+1)-1]=W.$$\n\nIf the result stays BC, subtract W from the BC year labels normally. This occurs for cumulative Creation under +12696.\n\nA comparison of a translated landing with the ordinary reflected anchor Q_d has signed width:\n\n$$D_W(b,d)=W-b-d.$$\n\nFor the same event on both sides, this reduces to:\n\n$$D_W(b,b)=W-2b=2(r-b),\\qquad W=2r.$$\n\nMost apparently separate observations below are instances of these formulas. Unsuffixed table headings such as “to 1406” mean **to Q₁₄₀₆ on the AD side**, unless another phase state is explicitly declared. A literal BC-to-AD interval instead uses the corresponding civil cross-axis count.\n"
  },
  {
    "id": "S05",
    "source": "AXIS_REPORT.md",
    "start_line": 489,
    "end_line": 503,
    "section": "§8.2 retained MT Creation/Jared",
    "purpose": "Supplement: known4114/3654 and comparison-gap versus bridge expansion",
    "documentary_class": "supplement only",
    "required_substring": "4114 BC",
    "use_in_C275_premise_audit": false,
    "source_sha256": "ed20797a44cc5b4c201012017f66afb5c6a3a3f8951c1d63f21997b0cb2bfdbc",
    "excerpt_sha256": "9101952fa974e522bca700fbb481bb78776102ae2957c69bff3f00d39727b603",
    "excerpt": "### 8.2 Creation and Jared, with normal Gear 2 held\n\nThe selected regular nodes are **4114 BC** and **3654 BC**, 460 years apart. Two separately declared bridge states give:\n\n| Boundary | Source BC | +8464 landing AD | To Conquest | +9200 landing AD | To Conquest |\n| --- | --- | --- | --- | --- | --- |\n| Creation | 4115t/4114n | 4350t/4351n | 2944 | 5086t/5087n | 3680 |\n| Jared | 3655t/3654n | 4810t/4811n | 3404 | 5546t/5547n | 4140 |\n\nThe expanded bridge is **8464×25/23=9200**; the earlier “25/25” expression was a typographical error. At W=9200, the Conquest comparisons are:\n\n$$3680=8\\times460\\xrightarrow{K}4000,$$\n$$4140=9\\times460\\xrightarrow{K}4500.$$\n\nThis expands the bridge before generating new coordinates. It is a different operation from expanding an already computed comparison gap.\n"
  }
]