{
  "status": "Preparation draft; no root source, numbered script or journal edited",
  "draft": {
    "path": "c1132_c1431/prep/final_common_architecture_draft.md",
    "sha256": "b723f55eec6eddaa01ecb5ca0c20351726a859ae124bf4ba3e7eddceb707cde1",
    "bytes": 9486
  },
  "word_count_whitespace": 1373,
  "display_formula_count": 6,
  "claim_count": 27,
  "claims": [
    {
      "id": "ARCH01",
      "paragraph_anchor": "The chronological families fit together through the information they share",
      "claim": "A common representation retains labelled source structures, measures and source-appointed operations; it does not identify distinct families.",
      "sources": [
        "Research Strategy §§1,5A–G,6"
      ],
      "proof_steps": [
        "C831",
        "C931",
        "C1131",
        "C1280"
      ],
      "status": "Synthesis of inherited and completed models"
    },
    {
      "id": "ARCH02",
      "paragraph_anchor": "Every change preserving that compatibility",
      "claim": "The compatible ordinary-row normal form has unique parameters d=Δb and e=ΔL; nonnegative intermediate states and source permission remain separate.",
      "sources": [
        "File18 §§2–4; Research Strategy §3.2"
      ],
      "proof_steps": [
        "C1152",
        "C1153",
        "C1160"
      ],
      "status": "Inherited proved normal form"
    },
    {
      "id": "ARCH03",
      "paragraph_anchor": "all nineteen shared rows through five amplitudes",
      "claim": "The 19-row MT/LXX comparison has five amplitude parameters; the fitted source relation e+n=u restricts it to four. Named supports and literal values are retained.",
      "sources": [
        "File18 §§2.1.3–2.2,4.1–4.2; current main LXX 182/753 selection"
      ],
      "proof_steps": [
        "C1182",
        "C1183",
        "C1184",
        "C1185",
        "C1186",
        "C1187",
        "C1188",
        "C1189"
      ],
      "status": "Completed source-family compression, not source-value derivation"
    },
    {
      "id": "ARCH04",
      "paragraph_anchor": "Adjacent boundary differences recover the weights",
      "claim": "Ordered suffix accumulation with a retained terminal is invertible by adjacent differences. Regular and Cumulative select different row measures.",
      "sources": [
        "File09 §0.4; File18 §§2–4,6; Research Strategy §5B"
      ],
      "proof_steps": [
        "C733",
        "C734",
        "C954",
        "C972",
        "C973"
      ],
      "status": "Inherited representation identity"
    },
    {
      "id": "ARCH05",
      "paragraph_anchor": "six located century changes account for the 600 difference",
      "claim": "Full shared-row Regular staircase has six preflood century changes and the retained post-Flood 650 contribution.",
      "sources": [
        "File18 §§2.1.3–2.2,4.1–4.2; Research Strategy §4.1"
      ],
      "proof_steps": [
        "C1253",
        "C1254"
      ],
      "status": "Completed full-field source decomposition"
    },
    {
      "id": "ARCH06",
      "paragraph_anchor": "Native Cainan adds a named row",
      "claim": "Native Cainan contributes 130 Regular and 460 Cumulative and retains a new labelled vertex. No zero-life placeholder or repeated insertion is inferred.",
      "sources": [
        "File18 §1.6; Research Strategy §3.2"
      ],
      "proof_steps": [
        "C1187",
        "C1188",
        "C1255"
      ],
      "status": "Inherited source insertion applied to complete fields"
    },
    {
      "id": "ARCH07",
      "paragraph_anchor": "One rule gives all nine selected outputs",
      "claim": "The inclusive SP Flood capacities and baseline lives generate all nine capped outputs, with life reductions 115,249,124 summing 488. Eber/Terah contribute a separate 120.",
      "sources": [
        "File18 §§3.1,3.1.3,3.2,6C"
      ],
      "proof_steps": [
        "C953",
        "C954",
        "C955",
        "C956",
        "C957",
        "C958",
        "C959",
        "C983",
        "C1133",
        "C1150"
      ],
      "status": "Conditional source mechanism"
    },
    {
      "id": "ARCH08",
      "paragraph_anchor": "These mechanisms now feed the established SP calendar rectangle",
      "claim": "The source decomposition now feeds existing SP 2760/11960 radii and 9200 rectangle; frame and week/decade roles remain supplied.",
      "sources": [
        "Research Strategy §4.3; File18 §§3,6C; source packet bound at C1223"
      ],
      "proof_steps": [
        "C1223",
        "C1224",
        "C1225",
        "C1226",
        "C1227",
        "C1228",
        "C1229"
      ],
      "status": "New provenance account of inherited arithmetic"
    },
    {
      "id": "ARCH09",
      "paragraph_anchor": "Each row retains both its nearest-five value",
      "claim": "Nearest-five rounding on selected nonnegative integer measures with exact residual rho=x−Q(x). Signed auxiliary carries use Q_Z; accumulated residuals need not lie in the row range.",
      "sources": [
        "File51a §§1–2,3.4,16–17"
      ],
      "proof_steps": [
        "C1190",
        "C1199",
        "C1213",
        "C1218",
        "C1277",
        "C1278"
      ],
      "status": "Inherited rule and exact encoding"
    },
    {
      "id": "ARCH10",
      "paragraph_anchor": "Lamech’s lifespan change of −24 appears as −20",
      "claim": "Lamech MT-to-LXX life difference rounds to −20 while remainder difference rounds to −25; respective source residues account for both.",
      "sources": [
        "File18 §§2.1.3,4.1,4A; File51a §§3.4,16–17"
      ],
      "proof_steps": [
        "C1214",
        "C1217",
        "C1218",
        "C1219"
      ],
      "status": "Complete-row transfer result; LXX remainder is calculated"
    },
    {
      "id": "ARCH11",
      "paragraph_anchor": "Consecutive source changes also compose correctly",
      "claim": "Rounded-plus-residual translations compose by addition of changes because the exact value is retained. This does not authorize intermediate source states.",
      "sources": [
        "File51a row-rounding policy; Research Strategy §§5C,5F–G"
      ],
      "proof_steps": [
        "C1218",
        "C1219",
        "C1220",
        "C1221",
        "C1222"
      ],
      "status": "Proved restricted representation coherence"
    },
    {
      "id": "ARCH12",
      "paragraph_anchor": "The cap and rounding agree when both",
      "claim": "Nearest-five rounding commutes with minimum when both resolved inputs are rounded. This is not rounding BC labels or retaining an exact cap on one route only.",
      "sources": [
        "File18 §3.1.3; File51a rounding policy"
      ],
      "proof_steps": [
        "C978",
        "C1209",
        "C1210",
        "C1211"
      ],
      "status": "Inherited operator relation"
    },
    {
      "id": "ARCH13",
      "paragraph_anchor": "They still discard different information",
      "claim": "Cap loss and rounding residual have branch-dependent recovery roles; retained extra information, not the rounded capped output alone, reconstructs baseline lives.",
      "sources": [
        "File18 §3.1.3"
      ],
      "proof_steps": [
        "C1202",
        "C1203",
        "C1204",
        "C1205",
        "C1206",
        "C1207",
        "C1208",
        "C1212"
      ],
      "status": "Completed information account"
    },
    {
      "id": "ARCH14",
      "paragraph_anchor": "Its rounded intervals produce the five blocks",
      "claim": "The complete strict-base MT Moses path gives five blocks 130|490|1030|130|800, hence 2580,2450,1960 at the selected cuts.",
      "sources": [
        "File51a §§3.1,7A.1–7A.4; File18 supplied rows"
      ],
      "proof_steps": [
        "C1232",
        "C1233",
        "C1234",
        "C1235",
        "C1236",
        "C1237",
        "C1238",
        "C1251",
        "C1252"
      ],
      "status": "Source reconstruction of existing family, conditional on selected state and cuts"
    },
    {
      "id": "ARCH15",
      "paragraph_anchor": "The exact partition is 129 and 801",
      "claim": "Actual129|801 becomes Rounded130|800 with Arphaxad and Moses fixed and Reu shifted by one. The composite-path comparison with Adam uses two component equalities.",
      "sources": [
        "File51a §7A.4"
      ],
      "proof_steps": [
        "C1239",
        "C1240",
        "C1241",
        "C1249"
      ],
      "status": "Located residual explanation and dependent total"
    },
    {
      "id": "ARCH16",
      "paragraph_anchor": "Across the whole Moses path, located residuals recover",
      "claim": "The 25-node exact field is recovered from the row-rounded field plus suffix residual sums. Total2586−2580=6 differs from one-pass total rounding to2585.",
      "sources": [
        "File51a §§3.1,7A; declared row-rounding order"
      ],
      "proof_steps": [
        "C1277",
        "C1278"
      ],
      "status": "Completed finite presentation and recovery check"
    },
    {
      "id": "ARCH17",
      "paragraph_anchor": "recover all three original regular component words",
      "claim": "Moses reconstruction supplies Creation4106 and Noah3056 to three pre-admitted File52c component words, retaining independent Flood/Conquest/Nativity roles.",
      "sources": [
        "File52c §§2.1,3.3–3.4; File51a §3.1"
      ],
      "proof_steps": [
        "C1273",
        "C1274",
        "C1276",
        "C1279"
      ],
      "status": "Completed interface verification, no new source cuts"
    },
    {
      "id": "ARCH18",
      "paragraph_anchor": "The inherited single reversals then give",
      "claim": "The three matched original regular paths retain inherited one-pass total14720 and E-completion16000; no second inversion or additional endpoint claim.",
      "sources": [
        "Latest File52c §3.4"
      ],
      "proof_steps": [
        "C1058",
        "C1059",
        "C1060",
        "C1061",
        "C1068",
        "C1275"
      ],
      "status": "Inherited outputs reused at newly verified interface"
    },
    {
      "id": "ARCH19",
      "paragraph_anchor": "Matching units therefore preserve one schematic day-volume",
      "claim": "Calendar calibration is 336E=360P=364J=8400/23; it is schematic and not a universal chronological map.",
      "sources": [
        "Research Strategy §3.3; File12 active Enochian Key clarification; File63 §9.7"
      ],
      "proof_steps": [
        "C988",
        "C1004",
        "C1005",
        "C1006",
        "C1007"
      ],
      "status": "Inherited common measure"
    },
    {
      "id": "ARCH20",
      "paragraph_anchor": "Uniform conversion respects addition along a path",
      "claim": "Exact uniform Keys commute with sums. Different factors commute universally with block grouping precisely when constant inside each block; the two483-to490 paths have different interiors.",
      "sources": [
        "File63 §1.3; Research Strategy §5C"
      ],
      "proof_steps": [
        "C993",
        "C994",
        "C997"
      ],
      "status": "Inherited compatibility theorem and counterexample"
    },
    {
      "id": "ARCH21",
      "paragraph_anchor": "an integral outer completion can retain fractional internal positions",
      "claim": "All four admitted inverse paths have integral final E-images and fractional proper prefixes; exact rational images retain original source boundaries.",
      "sources": [
        "File52c §3.4; File46 §§2–3,6A.5"
      ],
      "proof_steps": [
        "C998",
        "C999",
        "C1000",
        "C1002",
        "C1003",
        "C1058",
        "C1059",
        "C1060"
      ],
      "status": "Inherited domain and whole-field qualification"
    },
    {
      "id": "ARCH22",
      "paragraph_anchor": "Its source ages generate the prominent 161, 299 and 276 spans",
      "claim": "Local Covenant model generates spans. First clutch join is definitional, next follows from shared Levi life, next uses retained147 relation.",
      "sources": [
        "File60 §§0.4,2–6; File61 §§6–8; File62 §§1–2"
      ],
      "proof_steps": [
        "C1032",
        "C1033",
        "C1034",
        "C1040",
        "C1041",
        "C1047",
        "C1051",
        "C1052",
        "C1053",
        "C1054",
        "C1055",
        "C1056",
        "C1057",
        "C1070"
      ],
      "status": "Inherited coupled model and dependency classification"
    },
    {
      "id": "ARCH23",
      "paragraph_anchor": "Shelah through Jacob form a ten-node suffix",
      "claim": "Ten native SP/LXX birth coordinates agree while seven life differences total547; NT birth measurement is insensitive to those life differences.",
      "sources": [
        "File43 §3.4; File54 §§1.1–1.2,2.1–2.3; File18 native rows"
      ],
      "proof_steps": [
        "C1265",
        "C1266",
        "C1267",
        "C1268",
        "C1269",
        "C1272"
      ],
      "status": "Completed bounded full-family integration"
    },
    {
      "id": "ARCH24",
      "paragraph_anchor": "Native Cainan also retains his own slot",
      "claim": "Arphaxad–Cainan–Shelah preserves two NT70 cells; shared-name omission must retain140 across the two-cell edge.",
      "sources": [
        "File43 §3.4; File54 native genealogy display; File18 §1.6"
      ],
      "proof_steps": [
        "C1267",
        "C1270"
      ],
      "status": "Completed incidence check"
    },
    {
      "id": "ARCH25",
      "paragraph_anchor": "Esau’s ordered registers similarly encode",
      "claim": "Selected complete Esau measurements recover all nine counts without reducing their nine free numerical inputs.",
      "sources": [
        "File58 §§13.1–13.4"
      ],
      "proof_steps": [
        "C1009",
        "C1010",
        "C1011",
        "C1012",
        "C1013"
      ],
      "status": "Inherited exact coordinate change"
    },
    {
      "id": "ARCH26",
      "paragraph_anchor": "Toledot multiplicities preserve eleven occurrences",
      "claim": "Occurrence multiplicities preserve eleven counts in ten sections; reflection fails for the Esau quotient. The primary NT77-edge path has eleven seven-edge blocks preserving measure/reflection; extension excluded.",
      "sources": [
        "File70 AppendixB.1; File43 §3.4; File54 §8.6,§§10.1–10.3"
      ],
      "proof_steps": [
        "C1023",
        "C1024",
        "C1025",
        "C1026",
        "C1027",
        "C1028",
        "C1029"
      ],
      "status": "Inherited compatible/incompatible grouping comparison"
    },
    {
      "id": "ARCH27",
      "paragraph_anchor": "The resulting common presentation is compact",
      "claim": "Reuse of verified constructions compresses dependency reporting; no globally minimal grammar, historical origin, statistical rarity or universal equivalence is asserted.",
      "sources": [
        "Research Strategy §§1,5G,6–9"
      ],
      "proof_steps": [
        "C1131",
        "C1280",
        "C1281"
      ],
      "status": "Interpretive scope of synthesis"
    }
  ],
  "source_and_model_bindings": [
    {
      "path": "upload/490d_Unification_Research_Strategy_v0_2_20260906.md",
      "sha256": "9c9aa357f5483b3af1dbb5f0025ee514fa28160576a037be03037aa49bf01476",
      "bytes": 29743
    },
    {
      "path": "upload/File_52c.Rounded_Whole_Span_Inverse_Detailed_Study_Draft (2)(1).md",
      "sha256": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530",
      "bytes": 253860
    },
    {
      "path": "project_sources/38-File_18.Chronological_Data_Tables-20260919-141048-.md",
      "sha256": "68301ab760bfbe2e874aedc5c8d943ced7a6219d34bc2859332a70713f9630d5",
      "bytes": 221777
    },
    {
      "path": "project_sources/39-File_51a.Rounded_Scaffold_Mod5_Architecture.md",
      "sha256": "d8aa38afb2a2df8f3bb57937f5d3dea897c286c034a1bee7398938d30e7bd77c",
      "bytes": 196972
    },
    {
      "path": "c1132_c1431/inherited/490d_How_Chronological_Families_Fit_Together_C1131.md",
      "sha256": "c10be95a7f5a5a4559e6d92beaf0a85b4451d433b6ca8497a8deca0eac368139",
      "bytes": 63960
    },
    {
      "path": "c1132_c1431/inherited/490d_Chronological_Families_Technical_Companion_C1131_Final.md",
      "sha256": "0c7bb554197b3e12751dea428d076ac7ba21f747e6c5ade643b2d4fe3e1e18e2",
      "bytes": 15189
    },
    {
      "path": "c832_c931/model/unified_family_schema.json",
      "sha256": "39e20f67fe16cbacc00a3775111c47182d0a37065864794b2ffdd42d4a953691",
      "bytes": 1586
    },
    {
      "path": "c832_c931/model/operator_module_summary.json",
      "sha256": "64dbdc45c798c9244bbb69c9b15405cb4711f7ef6a942e5564b189621450624b",
      "bytes": 582
    },
    {
      "path": "c1132_c1431/prep/common_representation_architecture.md",
      "sha256": "22832f5fd8764345f17e216fcbb08e4c2935c32692254790dc24e60dc9d8a71f",
      "bytes": 13274
    },
    {
      "path": "c1132_c1431/prep/common_representation_architecture.diagnostics.json",
      "sha256": "fa6d054b862717fed859d30b0471993c739b8cdef8ac2d64e38fcb9f4bceeb2a",
      "bytes": 21662
    },
    {
      "path": "c1132_c1431/model/Moses_block_rounding_order.json",
      "sha256": "819d2815e50c8f363ccc8662e4f0285dbfce8e4c58951205349674943f80e184",
      "bytes": 1037
    },
    {
      "path": "c1132_c1431/model/Moses_complete_residual_recovery.json",
      "sha256": "6e6ac50f823898352efd4b6313348899dfbc8f55e8fda1a51a04c975336db550",
      "bytes": 4249
    },
    {
      "path": "c1132_c1431/model/Moses_inverse_source_word_match.json",
      "sha256": "1cc47a6d59d77481961593d0ead7f97f018537417e7b3a3b43277a564e5b60bc",
      "bytes": 1341
    },
    {
      "path": "c1132_c1431/model/Moses_inverse_coordinate_roles.json",
      "sha256": "7e49a3507f3bdaf8304737b2e8e8a08634920fd5948f7d2489b21b329b333bce",
      "bytes": 716
    },
    {
      "path": "c1132_c1431/model/NT_birth_projection_hidden_lives.json",
      "sha256": "7b560e40d46a5b3dd387c3b04994ccb79f2bac1ef97db39078a8332bf335a6a4",
      "bytes": 752
    },
    {
      "path": "c1132_c1431/model/NT_native_Cainan_interface.json",
      "sha256": "29ec284f1630b8b563ff6e09c4117ee3d61ff92a4b69f04dc14f196a9d4bce50",
      "bytes": 866
    },
    {
      "path": "c1132_c1431/model/regular_kernel_five_calibration.json",
      "sha256": "df161a85a5d0da068398d3c6e22e3232084ff1ded55eb7929261cbd762d6b63a",
      "bytes": 474
    }
  ],
  "editorial_note": "The inherited architecture preparation is frozen. The root completed its proposed finite interface checks at C1273–1278; this article reuses those results. No further numerical campaign was run. Bibliographic/source/proof locators remain here rather than interrupting article prose."
}