{
  "step": "C466",
  "minimal_fixed_witness_cards": [
    {
      "coordinate": 3620,
      "source_index": 188,
      "source_record": {
        "tradition": "SP",
        "gear": 1,
        "role": "Noah birth",
        "rail": "companion",
        "Cainan": 1,
        "Terah60": 0,
        "full430": 0,
        "center": 3620
      },
      "derivation_terms": [
        3490,
        130
      ]
    },
    {
      "coordinate": 2756,
      "source_index": 193,
      "source_record": {
        "tradition": "SP",
        "gear": 1,
        "role": "Noah death",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 2756
      },
      "derivation_terms": [
        2541,
        215
      ]
    },
    {
      "coordinate": 3206,
      "source_index": 209,
      "source_record": {
        "tradition": "SP",
        "gear": 1,
        "role": "Shem birth",
        "rail": "primary",
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 3206
      },
      "derivation_terms": [
        2991,
        215
      ]
    },
    {
      "coordinate": 3170,
      "source_index": 99,
      "source_record": {
        "tradition": "SP",
        "gear": 3,
        "role": "Flood start",
        "Cainan": 0,
        "Terah60": 1,
        "full430": 1,
        "center": 3170,
        "base_native_Cainan": 0,
        "base_center": 3110
      },
      "derivation_terms": [
        2895,
        60,
        215
      ]
    },
    {
      "coordinate": 2148,
      "source_index": 271,
      "source_record": {
        "tradition": "MT",
        "gear": 2,
        "role": "Shem death",
        "rail": null,
        "Cainan": 1,
        "Terah60": 1,
        "full430": 1,
        "center": 2148
      },
      "derivation_terms": [
        1741,
        2,
        130,
        60,
        215
      ]
    },
    {
      "coordinate": 2020,
      "source_index": 363,
      "source_record": {
        "tradition": "MT",
        "gear": 3,
        "role": "Shem death",
        "rail": null,
        "Cainan": 0,
        "Terah60": 1,
        "full430": 1,
        "center": 2020
      },
      "derivation_terms": [
        1741,
        4,
        60,
        215
      ]
    },
    {
      "coordinate": 1956,
      "source_index": 169,
      "source_record": {
        "tradition": "MT",
        "gear": 1,
        "role": "Shem death",
        "rail": null,
        "Cainan": 0,
        "Terah60": 0,
        "full430": 1,
        "center": 1956
      },
      "derivation_terms": [
        1741,
        215
      ]
    }
  ],
  "source_excerpts": [
    {
      "file": "File_02.md",
      "line_start": 659,
      "line_end": 716,
      "text": "### 6.2 Regular chronology: localized effect\n\nActive state:\nMT Minimum-Regular Noah/Shem pivot table.\n\nNode-class note:\nThe slash-pairs in this table are localized modal pairs, not collapsed date ranges and not unresolved typographical variants.\n\nIn regular chronology, the ±2 is localized. It affects only Noah and Shem without propagating through the remaining patriarchal chain.\n\n| Patriarch | Birth pair | Death pair | Lifespan |\n|---|---:|---:|---:|\n| Noah | 2843/2841 BC | 1893/1891 BC | 950 |\n| Shem | 2343/2341 BC | 1743/1741 BC | 600 |\n\nSource-control note:\nThe supplied source row `2845/2843 BC` and `1895/1893 BC` is preserved in the archive. The active `File_02` table uses `2843/2841 BC` and `1893/1891 BC` for Noah under current `File_00` / Restart Capsule v11.15 Noah-Shem pivot controls.\n\nArithmetic note:\nThe localized lifespan pairs check internally.\n\n$$2843-1893=950.$$\n\n$$2841-1891=950.$$\n\n$$2343-1743=600.$$\n\n$$2341-1741=600.$$\n\nEndpoint-state note:\nUnder the local MT Minimum-Regular Flood at `2243 BC`, the Noah birth pair gives the controlled 600/598 state:\n\n$$2843-2243=600.$$\n\n$$2841-2243=598.$$\n\nThis prepares the 598 ↔ 600 gear shift in §6.3 without retaining the prior `602` result as an active state.\n\nThe Shem birth pair gives the 100/98 state against the same Flood boundary:\n\n$$2343-2243=100.$$\n\n$$2341-2243=98.$$\n\nTransfer rule:\nThis table gives the localized Noah/Shem ±2 pair in the minimum-position MT regular state. It does not replace the MT Standard-Normal Flood at `2458 BC`.\n\nTo transfer the table into the other MT regular positions, apply the Universal Four-Position Matrix.\n\n| Position | Add to minimum-position Noah/Shem table |\n|---|---:|\n| Minimum-Regular | +0 |\n| Minimum-Regular +60 | +60 |\n| Standard-Normal | +215 |\n| Standard-Normal +60 | +275 |\n\nMachine-processing rule:\nRegular dates apply the ±2 ambiguity only to Noah and Shem."
    },
    {
      "file": "File_18.md",
      "line_start": 620,
      "line_end": 627,
      "text": "\nTradition-scope clarification:\nThis multiplication is not MT-local. MT, SP, and LXX encounter the fork sequence at the same genealogical locations: the Sojourn / Egypt-position `+215` fork, the `+60 Terah` fork, and the 2nd Cainan `+130` boundary. The arithmetic status differs by tradition. MT / SP receive Cainan by restoration when that state is opened. LXX already contains Cainan in its regular baseline, so the LXX form is a native-Cainan boundary state unless a theoretical removal / reinsertion state is explicitly opened.\n\n| Epoch / boundary | Active variants | Possible explicit date states | Handling |\n|---|---|---:|---|\n| Adam → Arphaxad / Flood | `±215 Sojourn × +60 Terah × restored 2nd Cainan` where opened | eight states | Active only if restored 2nd Cainan is explicitly inserted. Arphaxad is synonymous with the Flood / Ark-exit conception boundary and is the first upstream row to absorb the Cainan hinge. |\n| 2nd Cainan → Terah | `±215 Sojourn × +60 Terah` | four states | 2nd Cainan, Shelah, Eber, Peleg, Reu, Serug, Nahor, and Terah remain four-position. |"
    },
    {
      "file": "File_18.md",
      "line_start": 1540,
      "line_end": 1552,
      "text": "#### 3.1.4 Ordinary Flood Gears, fixed Arphaxad, and the SP midpoint\n\nThis table uses the full-430 comparison frame, Terah `+60` OFF, MT/SP second Cainan OFF, and LXX native second Cainan ON. The LXX G2 Creation head is `5494`, consistent with `5494−3238=2256`; Cainan-OFF `5364` must not be paired with native-ON Flood `3238`.\n\n| Tradition | G3 Flood start→close | G2 Flood start→close | G1 Flood start→close | Fixed Arphaxad |\n|---|---|---|---|---:|\n| MT | 2460→2459 | 2458→2457 | 2456→2455 | 2456 |\n| LXX — native Cainan ON | 3240→3239 | 3238→3237 | 3236→3235 | 3236 |\n| SP | 3110→3109 | 3108→3107 | 3106→3105 | 3106 |\n\nEvery row has the ladder `G3 start → G2 start → G1 start → G1 close = 2+2+1 = 5`. At this layer LXX is MT `+780`, including Arphaxad. Each Flood close arises from that Gear’s one-year event span, independently of SP Noah/Shem primary→companion. At held Sojourn, Terah, and Cainan settings, regular Arphaxad onward through Moses does not move with Gear; the separately scoped variant mechanisms retain their own permissions.\n\nSubtract `215` from this table for the corresponding minimum/native frames. The native SP starts G3/G2/G1 are `2895/2893/2891`, with closes `2894/2892/2890`; fixed Arphaxad is `2891`."
    },
    {
      "file": "File_18.md",
      "line_start": 1571,
      "line_end": 1596,
      "text": "#### 3.2.1 SP Noah/Shem field and named bindings\n\nEach slash-pair below is ordered primary / lower companion. The companion is one year farther forward in time. The rows display ordinary Gear combined with SP-local person-station adjacency; they are not six independently attested source states or a new unrestricted execution generator.\n\n| Gear | Noah birth | Noah death | Shem birth | Shem death |\n|---|---|---|---|---|\n| G1 | 3491/3490 | 2541/2540 | 2991/2990 | 2391/2390 |\n| G2 | 3493/3492 | 2543/2542 | 2993/2992 | 2393/2392 |\n| G3 | 3495/3494 | 2545/2544 | 2995/2994 | 2395/2394 |\n\nAdd `215` for the reports’ equalized dates. Noah’s primary death column carries the inclusive/harmonic qualification and the lower column the ordinary-companion qualification. Matched birth/death endpoints preserve Noah `950` and Shem `600`; matched Noah/Shem births preserve `500`. The mixed G2 companion-Noah / primary-Shem path is `3492−2993=499`, the ordinal 500th-year alternative.\n\nThe native G2 post-Flood spans are `2893−2543=350` and `2892−2542=350`. The second uses Flood close and Noah’s companion death; it does not type the Flood close as a companion. The cross-pair `2893−2542=351` is not an unqualified `350`.\n\nThe following bindings preserve the prior usable stations while making their Gears explicit:\n\n| Shem station / binding | Birth BC | Death BC | Qualified relation |\n|---|---:|---:|---|\n| G2 primary, Noah/Flood comparison | 2993 | 2393 | G2 primary Noah `3493−500=2993`; `2993−100=2893`, Flood start. |\n| G2 companion, Noah/Flood comparison | 2992 | 2392 | G2 companion Noah `3492−500=2992`; ordinal `2992−99=2893`, Flood start. |\n| G1 primary, Arphaxad-bound | 2991 | 2391 | `2991−100=2891`, fixed Arphaxad; also `3493−502=2991` from G2 primary Noah. |\n| G1 companion, Noah-bound comparison | 2990 | 2390 | `3492−502=2990` from G2 companion Noah; it does not replace the full-100 Arphaxad-bound row. |\n\nG2 primary Shem `2993` is `102` from fixed Arphaxad `2891`. These comparisons retain their endpoint roles and bindings. Noah/Shem alone have the full qualified cross-Gear endpoint-comparison permission in this domain; other patriarchs retain coherent-Gear biographies. Qualified Noah↔Flood comparisons are allowed, while the Flood remains an event start/close structure.\n\nThe post-Flood begetting table selects the G1 primary / Arphaxad-bound Shem row:"
    },
    {
      "file": "File_11.md",
      "line_start": 44,
      "line_end": 53,
      "text": "`File_11` defines the Three-Gear Protocol as an architectural kernel for regular chronology calibration.\n\nThe file records how the Shem-Ham-Japheth Gear field functions as a sliding mechanism. It distinguishes:\n\n| Gear | Figure | Operator | Directional function |\n|---|---|---:|---|\n| Gear 1 | Japheth | `+0` | Base state / Left Turn |\n| Gear 2 | Shem | `+2` | Covenant state / Straight Path |\n| Gear 3 | Ham | `+4` from Gear 1; `+2` from Gear 2 | Extension state / Right Turn |\n"
    },
    {
      "file": "File_46.md",
      "line_start": 117,
      "line_end": 133,
      "text": "### L3. Priestly Ratio (25/23)\n\nActive state: Key-of-23 Priestly Expansion state.\n\n```markdown\n4830 × 25/23 = 5250\n```\n\nbecause `4830/23 = 210` and `210 × 25 = 5250`.\n\nTherefore:\n\n```markdown\n5256 BC → 6 BC = 5256 − 6 = 5250\n```\n\nThe source associates this operator with Luke (the Luke / Priestly expansion); the association is developed in §4.2."
    }
  ],
  "pivot_solutions": [
    {
      "input": 2148,
      "output": 2020,
      "unique_pivot_from_endpoints": "3620"
    },
    {
      "input": 3206,
      "output": 3170,
      "unique_pivot_from_endpoints": "3620"
    },
    {
      "input": 2020,
      "output": 1956,
      "unique_pivot_from_endpoints": "2756"
    },
    {
      "input": 3170,
      "output": 3206,
      "unique_pivot_from_endpoints": "2756"
    }
  ],
  "interval_ladder": [
    [
      2148,
      3206
    ],
    [
      2020,
      3170
    ],
    [
      1956,
      3206
    ]
  ],
  "spans": [
    1058,
    1150,
    1250
  ],
  "counts": {
    "distinct_required_coordinates": 7,
    "explicit_MT_SP_assignments": 1,
    "source_excerpt_cards": 6
  },
  "qualifications": [
    "MT2148 is the explicitly opened restored-Cainan state.",
    "SP2756 carries the primary inclusive/harmonic Noah-death qualification.",
    "SP3620 is a Noah-person companion, not a Flood-close or LXX companion.",
    "The changing states are comparison bindings, not successive literal deaths or births.",
    "The sourced interval has no new civil BC/AD crossing."
  ]
}