claim source status C1315.json

{
  "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."
}