{
  "step": "C402",
  "source_excerpt_cards": [
    {
      "id": "MT_NOAH",
      "source": "File_02.md",
      "section": "6.2 localized Noah/Shem and position matrix",
      "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.",
      "excerpt_sha256": "45b114f63ea4380febdaef22d664e23579dcecc53759f20c6a2a742cef885038"
    },
    {
      "id": "J_GAP",
      "source": "File_02.md",
      "section": "6.3 gap conversion and Residue distinction",
      "line_start": 718,
      "line_end": 731,
      "text": "### 6.3 The 598 ↔ 600 gear shift\n\nActive operator:\nKey of 23, Enochian Expansion.\n\nNode-class note:\nThis subsection converts a gap, not a date. The 598-year gap remains a local configuration value; the 600-year result is the restored round value under the Enochian Expansion.\n\nThe ±2 ambiguity can produce a 598-year gap instead of a 600-year gap in some configurations. The Enochian Expansion restores the round value:\n\n$$598\\times300/299=600.$$\n\nClaim-status note:\nThis is an ordinary Key-of-23 whole-year conversion. It is not a Residue Protocol calculation.",
      "excerpt_sha256": "4e1d89f62fb9f0da131ebe826abeb68a3a60860b07ecd4abada000ca80badc9c"
    },
    {
      "id": "VARIANTS",
      "source": "File_18.md",
      "section": "1.3 tradition-specific variant forks",
      "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. |",
      "excerpt_sha256": "520ba2473d3664220f028a4d96d0f28e04397e164911a0c54a8fcdcd40237bfa"
    },
    {
      "id": "LXX_REMOVAL",
      "source": "File_18.md",
      "section": "1.6.2 theoretical LXX Cainan removal",
      "line_start": 1140,
      "line_end": 1147,
      "text": "\n| Tradition / method | Handling |\n|---|---|\n| LXX Regular | Cainan is already in the baseline. `5279 BC` Adam minimum includes his `130` begetting years. No adjustment is needed. |\n| MT / SP Regular | To restore Cainan, insert 2nd Cainan by adding the `+130` begetting-age hinge between Arphaxad and Shelah. Shelah and the downstream Terah field remain four-position; Arphaxad / Flood through Adam shift by `+130` and become eight-position where the restored-Cainan state is explicitly opened. MT with Cainan: `3899 + 130 = 4029 BC`. SP with Cainan: `4199 + 130 = 4329 BC`. |\n| LXX Cumulative | Cainan is already in the baseline. His `460`-year lifespan is included in the chain. No adjustment is needed. |\n| MT / SP Cumulative | To restore Cainan, insert the `+460` lifespan hinge between Arphaxad and Shelah. In the cumulative table this shifts Adam through Arphaxad / Flood by `+460`; Shelah and downstream rows remain unchanged. MT cumulative with Cainan: `14006 + 460 = 14466 BC`, Moses line center. |\n| LXX theoretical removal | LXX could have Cainan removed: `5279 − 130 = 5149 BC`, Regular. This is not tracked in standard tables but remains architecturally valid. |",
      "excerpt_sha256": "0eb1f430961a0680cff5801032d8bbdbd123030841e36d2a7543496eae896ca1"
    },
    {
      "id": "NOAH_BASES",
      "source": "File_18.md",
      "section": "2.2.1 independent MT/LXX Noah states",
      "line_start": 1253,
      "line_end": 1280,
      "text": "\n#### 2.2.1 Noah and Shem `±2` anomaly\n\nActive state:\nRegular-localized Shem `±2`.\n\nGenesis 11:10 supplies the two-year distinction used in the regular Noah/Shem binding comparisons. This localized comparison permission does not restrict ordinary coherent Gear transport of the Flood; see §3.1.4. In Cumulative chronology, the `±2` propagates through the chain; see §6 and `File_02`.\n\n| Patriarch | Literal, in table | Idealistic `±2` | Source direction label |\n|---|---|---|---|\n| Noah | 2843–1893 BC | 2841–1891 BC | Earlier |\n| Shem | 2341–1741 BC | 2343–1743 BC | Later |\n\nThe literal dates represent the minimum baseline. The idealistic dates represent the alternative reading of Genesis 11:10. Both are valid.\n\nFor LXX, retain the independently sourced `±2` comparisons at its own native-Cainan positions:\n\n| Tradition | Patriarch | Literal | Idealistic `±2` |\n|---|---|---|---|\n| LXX | Noah | 3623–2673 BC | 3621–2671 BC |\n| LXX | Shem | 3121–2521 BC | 3123–2523 BC |\n\nThe corrected SP field additionally has a local one-year companion. Its native-frame G2 pairs are:\n\n| SP person | G2 primary biography | G2 lower-companion biography |\n|---|---|---|\n| Noah | 3493–2543 BC | 3492–2542 BC |\n| Shem | 2993–2393 BC | 2992–2392 BC |",
      "excerpt_sha256": "cb4aeda0e0f862cc7b39c1ca87d2515b80917bfdbbf27ee140bf8bf15874630f"
    },
    {
      "id": "FLOOD",
      "source": "File_18.md",
      "section": "3.1.4 Flood start/close and branch frames",
      "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`.",
      "excerpt_sha256": "99eb07c7c52ecdde9818217457ff47358e05ab8a8ef3f06330ced9e4dcec8b15"
    },
    {
      "id": "SP_FIELD",
      "source": "File_18.md",
      "section": "3.2.1 SP person rails and bindings",
      "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:",
      "excerpt_sha256": "f756f840110723b596d44f3bbbe7f3f3b2541dd0cd6716d42683490363ed3250"
    },
    {
      "id": "E_P",
      "source": "File_46.md",
      "section": "L2/L3 exact ratio definitions",
      "line_start": 97,
      "line_end": 133,
      "text": "### L2. Prophetic Ratio (70/69)\n\nActive state: Key-of-23 Prophetic Expansion state.\n\n```markdown\n4830 × 70/69 = 4900\n```\n\nbecause `4830/69 = 70` and `70 × 70 = 4900`.\n\nTherefore:\n\n```markdown\n4836 BC → AD 65 = 4900\n```\n\nsince `4836 + 65 − 1 = 4900`.\n\nThe source associates this operator with Jared (the Jared / Prophetic expansion); the association is developed in §4.2.\n\n### 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.",
      "excerpt_sha256": "8d6d2a95f850c73cdd39793d33dcbf48c16a9aa41512449a1aaa28c83a1ea113"
    },
    {
      "id": "E_SQUARED",
      "source": "File_46.md",
      "section": "6A.3 double-expansion licensing",
      "line_start": 363,
      "line_end": 365,
      "text": "### 6A.3 Double-expansion licensing and the appendix example\n\nA span divisible by `23²` admits two successive integral `25/23` expansions. This operator fact remains in the main body. The particular LXX `777`-overlay example formerly here, including its onward conversions, is retained in Appendix A.3 and is not independent main-chain evidence.",
      "excerpt_sha256": "de8d5c481a6c814c79783cf4c93dc7bbc03532cf586b955d0eca228c0857df0c"
    },
    {
      "id": "GEARS",
      "source": "File_11.md",
      "section": "Gear offsets+0/+2/+4, applied here only atNoah/Shem/Flood",
      "line_start": 46,
      "line_end": 53,
      "text": "The 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",
      "excerpt_sha256": "35502bb2332ff4408e0908f0e65310b085e278eb43bb5c331e859fcacfbd0ccf"
    }
  ],
  "source_baselines": {
    "Noah_G1_minimum_or_native": {
      "MT": 2841,
      "SP": 3491,
      "LXX": 3621
    },
    "SP_companion_Noah_G1": 3490,
    "Flood_G1_full430_native_Cainan": {
      "MT": 2456,
      "SP": 3106,
      "LXX": 3236
    }
  },
  "reconstruction_rows": [
    {
      "case": 0,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 1,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3681
          },
          "reconstructed_coordinate": 3681
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 1,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3706
          },
          "reconstructed_coordinate": 3706
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3083,
            "base_native_Cainan": 1,
            "base_center": 3238
          },
          "reconstructed_coordinate": 3083
        }
      ],
      "LXX_status": "Moving LXX source is native CainanON. Held LXX source is explicitly theoretical CainanOFF."
    },
    {
      "case": 1,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 1,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3681
          },
          "reconstructed_coordinate": 3681
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 1,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3706
          },
          "reconstructed_coordinate": 3706
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3083,
            "base_native_Cainan": 1,
            "base_center": 3238
          },
          "reconstructed_coordinate": 3083
        }
      ],
      "LXX_status": "Moving LXX source is native CainanON."
    },
    {
      "case": 2,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "MT",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3033
          },
          "reconstructed_coordinate": 3033
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "MT",
            "gear": 1,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3031
          },
          "reconstructed_coordinate": 3031
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "MT",
            "gear": 1,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3056
          },
          "reconstructed_coordinate": 3056
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "MT",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 2433,
            "base_native_Cainan": 0,
            "base_center": 2458
          },
          "reconstructed_coordinate": 2433
        },
        {
          "role_in_loop": "P_pivot_0",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 0,
            "center": 2893,
            "base_native_Cainan": 1,
            "base_center": 3238
          },
          "reconstructed_coordinate": 2893
        },
        {
          "role_in_loop": "P_pivot_1",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 0,
            "center": 2893,
            "base_native_Cainan": 0,
            "base_center": 3108
          },
          "reconstructed_coordinate": 2893
        }
      ],
      "LXX_status": null
    },
    {
      "case": 3,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "companion",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3682
          },
          "reconstructed_coordinate": 3682
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 1,
            "role": "Noah birth",
            "rail": "companion",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3680
          },
          "reconstructed_coordinate": 3680
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 1,
            "role": "Noah birth",
            "rail": "companion",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3705
          },
          "reconstructed_coordinate": 3705
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Flood close",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3082,
            "base_native_Cainan": 0,
            "base_center": 3107
          },
          "reconstructed_coordinate": 3082
        }
      ],
      "LXX_status": null
    },
    {
      "case": 4,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 1,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3681
          },
          "reconstructed_coordinate": 3681
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 1,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3706
          },
          "reconstructed_coordinate": 3706
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3083,
            "base_native_Cainan": 0,
            "base_center": 3108
          },
          "reconstructed_coordinate": 3083
        }
      ],
      "LXX_status": "Held LXX source is explicitly theoretical CainanOFF."
    },
    {
      "case": 5,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 1,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3681
          },
          "reconstructed_coordinate": 3681
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 1,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3706
          },
          "reconstructed_coordinate": 3706
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3083,
            "base_native_Cainan": 0,
            "base_center": 3108
          },
          "reconstructed_coordinate": 3083
        }
      ],
      "LXX_status": null
    },
    {
      "case": 6,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 3,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3685
          },
          "reconstructed_coordinate": 3685
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3708
          },
          "reconstructed_coordinate": 3708
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "LXX",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3085,
            "base_native_Cainan": 1,
            "base_center": 3240
          },
          "reconstructed_coordinate": 3085
        }
      ],
      "LXX_status": "Moving LXX source is native CainanON. Held LXX source is explicitly theoretical CainanOFF."
    },
    {
      "case": 7,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 3,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3685
          },
          "reconstructed_coordinate": 3685
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3708
          },
          "reconstructed_coordinate": 3708
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "LXX",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3085,
            "base_native_Cainan": 1,
            "base_center": 3240
          },
          "reconstructed_coordinate": 3085
        }
      ],
      "LXX_status": "Moving LXX source is native CainanON."
    },
    {
      "case": 8,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "MT",
            "gear": 3,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3035
          },
          "reconstructed_coordinate": 3035
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "MT",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3033
          },
          "reconstructed_coordinate": 3033
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "MT",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3058
          },
          "reconstructed_coordinate": 3058
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "MT",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 2435,
            "base_native_Cainan": 0,
            "base_center": 2460
          },
          "reconstructed_coordinate": 2435
        },
        {
          "role_in_loop": "P_pivot_0",
          "source_record": {
            "tradition": "LXX",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 0,
            "center": 2895,
            "base_native_Cainan": 1,
            "base_center": 3240
          },
          "reconstructed_coordinate": 2895
        },
        {
          "role_in_loop": "P_pivot_1",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 0,
            "center": 2895,
            "base_native_Cainan": 0,
            "base_center": 3110
          },
          "reconstructed_coordinate": 2895
        }
      ],
      "LXX_status": null
    },
    {
      "case": 9,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Noah birth",
            "rail": "companion",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3684
          },
          "reconstructed_coordinate": 3684
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "companion",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3682
          },
          "reconstructed_coordinate": 3682
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "companion",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3707
          },
          "reconstructed_coordinate": 3707
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Flood close",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3084,
            "base_native_Cainan": 0,
            "base_center": 3109
          },
          "reconstructed_coordinate": 3084
        }
      ],
      "LXX_status": null
    },
    {
      "case": 10,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3685
          },
          "reconstructed_coordinate": 3685
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "LXX",
            "gear": 2,
            "role": "Noah birth",
            "rail": null,
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3708
          },
          "reconstructed_coordinate": 3708
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3085,
            "base_native_Cainan": 0,
            "base_center": 3110
          },
          "reconstructed_coordinate": 3085
        }
      ],
      "LXX_status": "Held LXX source is explicitly theoretical CainanOFF."
    },
    {
      "case": 11,
      "reconstructed_records": [
        {
          "role_in_loop": "higher_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3685
          },
          "reconstructed_coordinate": 3685
        },
        {
          "role_in_loop": "lower_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3683
          },
          "reconstructed_coordinate": 3683
        },
        {
          "role_in_loop": "held_Noah",
          "source_record": {
            "tradition": "SP",
            "gear": 2,
            "role": "Noah birth",
            "rail": "primary",
            "Cainan": 0,
            "Terah60": 0,
            "full430": 1,
            "center": 3708
          },
          "reconstructed_coordinate": 3708
        },
        {
          "role_in_loop": "J_Flood",
          "source_record": {
            "tradition": "SP",
            "gear": 3,
            "role": "Flood start",
            "Cainan": 1,
            "Terah60": 1,
            "full430": 0,
            "center": 3085,
            "base_native_Cainan": 0,
            "base_center": 3110
          },
          "reconstructed_coordinate": 3085
        }
      ],
      "LXX_status": null
    }
  ],
  "claim_status_matrix": [
    {
      "claim": "Noah/Flood endpoints, Gear offsets and variant shifts",
      "status": "Explicit source data/rules; all52 labelled record slots reconstructed."
    },
    {
      "claim": "E/P ratios and J598→600 conversion",
      "status": "Explicit source scalar operators. File02 specifically describes a gap conversion, not a date transformation or Residue Protocol."
    },
    {
      "claim": "Holding these particular E/J/P pivots together across source contexts",
      "status": "Derived source-supported comparison; a prescription for the new circuit is not established in the reviewed passages."
    },
    {
      "claim": "Three-vertex path normal form and commuting positive circuits",
      "status": "Exact algebra of the constructed comparison graph; distinct source/pivot histories remain distinct."
    },
    {
      "claim": "Global action, whole-biography transport, original17K or529-lattice preservation",
      "status": "Not established; finite source and arithmetic tests show the stated obstructions."
    }
  ],
  "counts": {
    "source_excerpt_cards": 10,
    "labelled_source_loop_cases": 12,
    "source_record_slots_reconstructed": 52,
    "new_source_endpoints": 0,
    "new_source_protocol_prescriptions_established": 0
  },
  "interpretation": "The loop sources reconstruct exactly from current table values and scoped variants. The affine maps encode held-pivot gap comparisons; their graph and algebra are derived research objects, not new canonical instructions to transform dates. The source-family census is not statistical corroboration because its inputs share the same variant rules."
}