{
  "source": {
    "path": "/workspace/scratch/1b40da62dcbd/c832_c931/evidence/sources/File52c_latest.md",
    "sha256": "a5ea84562101158b60d0cf296765d6eff38e7a2abda4e74ad1b353dfd13b9530"
  },
  "question_register_sha256": "e9910fc146c267544b98960abdfe9ca908fae3ce38550d8b8bdc9080e9f94f39",
  "literal_source_coordinates": {
    "Conquest_BC": 1406,
    "Nativity_BC": 6,
    "Exodus_BC": 1446,
    "Rounded_regular_Creation_BC": 4106,
    "Rounded_cumulative_Creation_BC": 14006,
    "Rounded_regular_Flood_BC": 2456,
    "Rounded_cumulative_Flood_BC": 4836,
    "Rounded_regular_Noah_BC": 3056,
    "Rounded_cumulative_Shem_BC": 5436,
    "Actual_regular_Creation_completion_BC": 4114,
    "Actual_cumulative_Creation_completion_BC": 14004,
    "Moses_birth_BC": 1526,
    "Temple_BC": 966
  },
  "paths": [
    {
      "id": "regular_primary",
      "chronological_components": [
        1650,
        1050
      ],
      "source_lines": [
        359,
        364
      ],
      "status": "primary admitted"
    },
    {
      "id": "regular_Noah",
      "chronological_components": [
        1050,
        1650
      ],
      "source_lines": [
        360,
        403
      ],
      "status": "admitted order permutation"
    },
    {
      "id": "regular_Flood_Noah",
      "chronological_components": [
        1050,
        600,
        1050
      ],
      "source_lines": [
        361,
        403
      ],
      "status": "admitted local refinement"
    },
    {
      "id": "cumulative_primary",
      "chronological_components": [
        9170,
        3430
      ],
      "source_lines": [
        362,
        364
      ],
      "status": "primary admitted"
    }
  ],
  "tail": {
    "duration": 1400,
    "source_single_pass_value": 4100,
    "source_lines": [
      370,
      378,
      388
    ]
  },
  "expected_outputs_for_validation_only": {
    "conquest_stage_BC": 12026,
    "nativity_stage_BC": 14726,
    "common_primary_reverse_sum": 10620,
    "nativity_reverse_sum": 14720,
    "weighted_ratio_C_to_R": "4:1",
    "same_side_to_Exodus": 10580,
    "observed_529_coefficient": 20,
    "first_E_duration": 11500,
    "second_E_duration": 12500,
    "Temple_inverse_BC": 696,
    "Moses_inverse_BC": 1616
  },
  "independent_operation_choices": {
    "single_pass": "retained-zero reversal on each source-admitted component",
    "calendar_E": "25/23",
    "rounded_coordinate": "q(BC B)=1\u2212B; q(AD Y)=Y\u22121",
    "secondary_cumulative_scope": "Only File52c literal Shem5436 can be used for a derived secondary diagnostic; Noah cumulative details are not newly sourced here."
  },
  "locators": {
    "primary_paths": {
      "first_line": 351,
      "last_line": 407,
      "text": "### 3.3 The segmented 12026 BC convergence\n\nWhole-span inversion is not additive in general. The following independently stated segmentations therefore remain distinct from the whole-span regular trunk $2700\\rightarrow7200$.\n\nEach row holds the Conquest anchor at 1406 BC and inverts the listed components separately.\n\n| Source construction | Original components | Inverted components | Inverted sum | Rebuilt Creation node |\n|---|---|---|---:|---|\n| Regular Creation\u2013Flood\u2013Conquest | 1650 + 1050 | 5610 + 5010 | 10620 | 12026 BC |\n| Regular Creation\u2013Noah\u2013Conquest | 1050 + 1650 | 5010 + 5610 | 10620 | 12026 BC |\n| Regular corroborating backbone | 1050 + 600 + 1050 | 5010 + 600 + 5010 | 10620 | 12026 BC |\n| Cumulative Creation\u2013Flood\u2013Conquest | 9170 + 3430 | 7190 + 3430 | 10620 | 12026 BC |\n\nThe cumulative components use $14006-4836=9170$ and $4836-1406=3430$. The regular components use $4106-2456=1650$ and $2456-1406=1050$. File_52a \u00a7\u00a75\u20136 and \u00a710, and File_52b \u00a72, control these source constructions.\n\nTheir common 12026 BC endpoint provides a same-side 529 relation to the Exodus in \u00a76.2. It is not an extra whole-span route in the 64-route survey. The author's subsequent admission of the major backbone includes this Conquest-stage endpoint once as the companion to the completed Nativity-stage endpoint below.\n\n### 3.4 The completed backbone: 14726 BC and the tenth incident\n\nThe additional third partition is the 1406 BC \u2192 6 BC interval. Read chronologically from Creation, the regular three-part outline is Creation \u2192 Flood \u2192 Conquest \u2192 6 BC, with spans 1650 + 1050 + 1400. The cumulative primary outline has spans 9170 + 3430 + 1400. Their reversed sums are respectively 5610 + 5010 + 4100 and 7190 + 3430 + 4100, both equal to 14720. When rebuilding from the held 6 BC anchor, this last chronological partition is processed first.\n\nSource trace: File_52a \u00a77, \u201cChrist anchor and the optional 2700 shift,\u201d explicitly records 1406 BC \u2192 6 BC = 1400, its inverse 4100, the resulting 2700 displacement, and 14726 BC. The author also gave the complete three-part equation in the preceding backbone amendment to this report. Thus the 1406-to-6 BC partition was already stated; the present clarification identifies its position in the chronological outline.\n\nThe regular backbone extends naturally from 6 BC through the Conquest and Flood to Creation:\n\n$$6\\text{ BC}\\rightarrow1406\\text{ BC}\\rightarrow2456\\text{ BC}\\rightarrow4106\\text{ BC}.$$\n\nIts successive spans, read toward earlier dates, are 1400 + 1050 + 1650. Invert all three separately and rebuild from 6 BC:\n\n$$I(1400)+I(1050)+I(1650)=4100+5010+5610=14720.$$\n\n$$6+14720=14726\\text{ BC},\\qquad14726-6=14720=640\\times23=128\\times115.$$\n\nThe three rebuilt steps are explicit in the following table. The first endpoint shares the label of regular Creation, but its role here is the rebuilt inverse of the Conquest leg.\n\n| Original leg, read from 6 BC | Original span | Inverse span | Rebuilt endpoint BC |\n|---|---:|---:|---:|\n| 6 BC to Conquest 1406 BC | 1400 | 4100 | 4106 |\n| Conquest 1406 BC to Flood 2456 BC | 1050 | 5010 | 9116 |\n| Flood 2456 BC to Creation 4106 BC | 1650 | 5610 | 14726 |\n\nThus 14726 BC is the natural third step of this admitted regular backbone. File_52a \u00a77 already records the endpoint, its 14720 span to 6 BC, and the exact conversion $14720\\times25/23=16000$. The construction predates its present admission to the statistical tally.\n\nThe same endpoint survives the following stated alternatives. All displayed dates in the path column are BC.\n\n| Source path | Original successive spans | Inverted successive spans | Sum; endpoint from 6 BC |\n|---|---|---|---|\n| Regular: 6 \u2192 1406 \u2192 2456 \u2192 4106 | 1400 + 1050 + 1650 | 4100 + 5010 + 5610 | 14720; 14726 BC |\n| Regular via Noah: 6 \u2192 1406 \u2192 3056 \u2192 4106 | 1400 + 1650 + 1050 | 4100 + 5610 + 5010 | 14720; 14726 BC |\n| Regular via Flood and Noah: 6 \u2192 1406 \u2192 2456 \u2192 3056 \u2192 4106 | 1400 + 1050 + 600 + 1050 | 4100 + 5010 + 600 + 5010 | 14720; 14726 BC |\n| Cumulative primary Flood path: 6 \u2192 1406 \u2192 4836 \u2192 14006 | 1400 + 3430 + 9170 | 4100 + 3430 + 7190 | 14720; 14726 BC |\n\nThe regular chronology remains the main focus. Noah's two-leg alternative reverses the order of 1050 and 1650, leaving their inverted sum unchanged. The finer 1050 + 600 + 1050 backbone also agrees because $I(1650)=5610=600+5010$. These are specific structural agreements, not a general additivity rule for digit reversal or extra independent target hits.\n\nThe completed endpoint stands 2700 earlier than the Conquest-stage endpoint because $I(1400)-1400=4100-1400=2700$. Consequently $12026+2700=14726$. At the earlier stage of this calculation, $12026-1446=10580=5290+5290=20\\times529$. The author reads this Exodus relation, the regular Noah alternatives, and the cumulative primary repetition as reinforcement of one major backbone. Only one 14726 BC incident is added to the 6 BC hit count.\n\nScope of the repetition: File_52a \u00a711 also gives secondary cumulative paths through Shem or Noah that reach 13016 BC from 1406 BC. Completing their 6 BC leg would give 15716 BC. Those are distinct branches; the claim above concerns the primary cumulative Flood path and the specified regular Noah alternatives. They are referenced to delimit the repeat, not admitted as additional constructions in this regular-backbone extension."
    },
    "Shem_birth_and_Flood": {
      "first_line": 415,
      "last_line": 420,
      "text": "| Earlier backbone reference | Declared arithmetic | Result / role |\n|---|---|---|\n| Cumulative Shem death / Flood boundary | 5436 \u2212 600 = 4836 | Shared cumulative boundary; birth and death remain distinguished. |\n| Flood held at the Conquest | 4836 \u2212 1406 = 3430; I(3430) = 3430 | 1406 + 3430 = 4836 BC; its span to 6 BC is 4830 = 210 \u00d7 23. |\n| Cumulative Shem birth held at 6 BC | 5436 \u2212 6 = 5430; I(5430) = 3450 | 6 + 3450 = 3456 BC; the span is 3450 = 150 \u00d7 23. |\n| Cumulative Creation inverse and Prophetic expansion | 14006 \u2212 1406 = 12600; I(12600) = 62100; 62100 \u00d7 70/69 = 63000 | 1406 + 63000 = 64406 BC. |"
    },
    "weighted_bridge": {
      "first_line": 1242,
      "last_line": 1264,
      "text": "#### 3.14.2 One key divides the bridge in the ratio 1:4\n\nThe 12026 BC anchor divides the Actual cumulative-to-regular Creation bridge as follows:\n\n| Original interval, BC | Original span | \u00d725/23 | Expanded 430-unit form |\n|---|---:|---:|---:|\n| 14004 \u2192 12026 | 1978 = 86 \u00d7 23 | 2150 | 5 \u00d7 430 |\n| 12026 \u2192 4114 | 7912 = 344 \u00d7 23 | 8600 | 20 \u00d7 430 |\n| 14004 \u2192 4114, total | 9890 = 430 \u00d7 23 | 10750 | 25 \u00d7 430 |\n\nThe original total is $1978+7912=9890$. Its expanded counterpart is $2150+8600=10750$; the expanded parts are not subdivisions of an unexpanded 9890-year total.\n\nBoth before and after conversion, the division is exactly 1:4:\n\n$$7912=4\\times1978,\\qquad8600=4\\times2150,$$\n\n$$12026=\\frac{4\\times14004+4114}{5}.$$\n\nThe Rounded pair retains the same dividing date:\n\n$$14006-12026=1980,\\qquad12026-4106=7920=4\\times1980.$$\n\nMoving from the Rounded endpoints to these Actual completion endpoints shortens the earlier part by 2 and the later part by 8. Their common 1:4 division survives, while the Actual parts 1978 and 7912 are divisible by 23. The Rounded total remains 9900; the Actual total remains 9890."
    },
    "529_ladder": {
      "first_line": 1632,
      "last_line": 1663,
      "text": "## 6. The 529 family and repeated expansion\n\n### 6.1 The common arithmetic\n\nThe significance of `529 = 23 \u00d7 23` in this discussion is that it permits two exact successive applications of the Priestly ratio:\n\n$$k\\times23^2\\xrightarrow{25/23}k\\times23\\times25\\xrightarrow{25/23}k\\times25^2.$$\n\nThe four selected durations below are discussed with their own endpoints and operators in the following subsections. Their shared expansion form is an arithmetic consequence of the factor 529.\n\n| Multiplier $k$ | Initial duration $k\\times529$ | After one 25/23 expansion | After two 25/23 expansions |\n|---:|---:|---:|---:|\n| 15 | 7935 | 8625 | 9375 |\n| 19 | 10051 | 10925 | 11875 |\n| 20 | 10580 | 11500 | 12500 |\n| 104 | 55016 | 59800 | 65000 |\n\nThe two exact expansion steps are not independent confirmations of the factorization. They explain what the factorization makes possible within the stated operator system.\n\n### 6.2 The 20 \u00d7 529 same-side relation\n\nThe segmented regular / cumulative convergence at 12026 BC (\u00a73.3) yields:\n\n$$12026-1446=10580=20\\times529=23\\times460.$$\n\nThe exact expansion chain is $10580\\rightarrow11500\\rightarrow12500$ under two applications of 25/23. The same-side span uses ordinary subtraction and needs no cross-axis correction.\n\nThis relation is inherited from the source architecture, where the 10580 value is already recorded as 23 \u00d7 460. Expressing it as 20 \u00d7 529 makes its second exact Priestly expansion explicit. It is not an additional hit in the 64-route whole-span scan.\n\nThe first expansion also participates in the Temple convergence of \u00a73.8.3. After reflecting both backbone and Exodus endpoints, hold AD 12026: expanding 10580 to 11500 moves AD 1446 back by 920 to Rounded AD 526, the same coordinate obtained from the Creation-held Temple inverse.\n\nThe second expansion to 12500 reaches 476 BC in the same Rounded display (\u00a73.9). That is also the Creation-held expansion endpoint of inverse Moses, 1616 BC. The successive gains are 920 and 1000, connecting the two exact expansions of 20 \u00d7 529 with the Moses\u2013Temple pair."
    },
    "Temple_source_inverse": {
      "first_line": 295,
      "last_line": 316,
      "text": "### 2.5 The Temple at 966 BC: explicit Exodus anchor, reference only\n\nThe author adds the beginning of Solomon's Temple construction at 966 BC to the report's references. The reason is the explicit chronological statement in 1 Kings 6:1: construction begins in Solomon's fourth regnal year, identified in the MT as the 480th year after the Exodus. Under the repository's adopted 480-year relation and primary Exodus anchor, the placement is:\n\n$$1446-480=966\\text{ BC}.$$\n\nThe textual datum is the Exodus-to-Temple synchronism; the absolute BC placement follows the adopted chronology (File_05 \u00a71.1). This supplies a defined basis for referencing this post-Conquest event in the inverse study. The criterion is specifically its explicit span from the Exodus, rather than a general extension of the survey into later regnal events.\n\nThe author had been uncertain whether to include this event in the sample. Accordingly, it is discussed here but remains excluded from the statistics. Neither Temple route enters the original 64-route scan or the expanded 66-construction tally; the backbone amendment does not change this decision.\n\nBoth reference routes use the normal anchors for a 6-ending date. The Conquest route requires retaining the Temple's position later than its anchor. Use the magnitude for digit reversal and preserve the sign of the original BC-label offset:\n\n$$s=D-A,\\qquad D'=A+\\operatorname{sgn}(s)I(|s|).$$\n\nThis signed placement is stated locally for the uncounted Temple reference. All source offsets in the frozen statistical scan remain positive, so its existing calculation and reproduction code require no change.\n\n| Held anchor BC | Original signed offset | Inverted magnitude | Rebuilt inverse date BC |\n|---|---|---|---|\n| 1406 | 966 \u2212 1406 = \u2212440 | I(440) = 440 | 1406 \u2212 440 = 966 |\n| 6 | 966 \u2212 6 = 960 | I(960) = 690 | 6 + 690 = 696 |\n\nThus the Temple date remains 966 BC under its Conquest-family inverse and becomes 696 BC under its Nativity-family inverse. The self-inverse 440 also places the Temple and the already discussed affliction node on opposite sides of the Conquest anchor:"
    },
    "Temple_first_junction": {
      "first_line": 594,
      "last_line": 643,
      "text": "#### 3.8.3 The Temple inverse and two routes to Rounded AD 526\n\nThe separately referenced Temple construction date is 966 BC, anchored to the Exodus by the adopted 480-year relation. Its Nativity-family inverse is 696 BC (\u00a72.5): $966-6=960$, $I(960)=690$, and $6+690=696$.\n\nHold the Creation pillar at 14726 BC and expand toward the Temple inverse:\n\n$$14726-696=14030=23\\times610,$$\n\n$$14030\\times\\frac{25}{23}=15250.$$\n\nThe rebuilt endpoint crosses the era boundary, so the report's Rounded coordinate rule must be applied explicitly:\n\n$$q(14726\\text{ BC})=-14725,$$\n\n$$-14725+15250=525=q(\\text{AD }526).$$\n\nThus the result is AD 526 in the symmetric Rounded display. The ordinary civil count from 14726 BC to the same printed AD 526 label would be 15251; a literal civil 15250-year interval would end at AD 525. The present result uses Rounded width throughout this route.\n\nNow reflect both endpoints of the existing Conquest-backbone / Exodus comparison:\n\n$$12026\\text{ BC}\\leftrightarrow\\text{AD }12026,\\qquad1446\\text{ BC}\\leftrightarrow\\text{AD }1446.$$\n\nThe two positive Rounded coordinates are 12025 and 1445. Their same-side difference remains:\n\n$$12026-1446=10580=5290+5290=20\\times529.$$\n\nHold the reflected backbone at AD 12026 and expand backward from it toward the reflected Exodus:\n\n$$10580\\times\\frac{25}{23}=11500,$$\n\n$$12026-11500=526.$$\n\nThe expanded endpoint is again AD 526. Its displacement from the reflected Exodus is the expansion gain:\n\n$$1446-526=920=11500-10580.$$\n\n| Route | Held anchor | Original companion | Original interval | Expanded interval | Rebuilt Rounded endpoint |\n|---|---|---|---:|---:|---|\n| Temple inverse from Creation | 14726 BC | 696 BC | 14030 | 15250 | AD 526 |\n| Reflected Exodus from the Conquest-stage backbone | AD 12026 | AD 1446 | 10580 | 11500 | AD 526 |\n\nThe two stated routes therefore meet at one coordinate, q = +525. A full-width check confirms their placement:\n\n$$14726+12026-2=26750=15250+11500.$$\n\nThe two expansion gains also fill the original interval between the Temple inverse and reflected Exodus:\n\n$$15250-14030=1220,\\qquad11500-10580=920,$$\n\n$$1220+920=2140=696+1446-2.$$"
    },
    "Moses_second_junction": {
      "first_line": 688,
      "last_line": 738,
      "text": "#### 3.9.2 The same 476 BC from inverse Moses\n\nMoses' Rounded birth at 1526 BC inverts from the 1406 BC Conquest anchor to 1616 BC:\n\n$$1526-1406=120,\\qquad I(120)=210,\\qquad1406+210=1616.$$\n\nThe Creation-held result from \u00a73.7 is:\n\n$$14726-1616=13110=570\\times23,$$\n\n$$13110\\times\\frac{25}{23}=14250,\\qquad14726-14250=476\\text{ BC}.$$\n\nThus the second expansion held at AD 12026 and the first expansion of inverse Moses held at 14726 BC meet at the same Rounded coordinate, q = \u2212475.\n\nThe source connection identified by the author is exact. Inverse Moses and inverse Temple stand 920 years apart:\n\n$$1616-696=920=40\\times23.$$\n\nA common 25/23 expansion with Creation held sends that pair to 476 BC and AD 526. Their separation becomes:\n\n$$920\\times\\frac{25}{23}=1000,$$\n\n$$q(\\text{AD }526)-q(476\\text{ BC})=525-(-475)=1000.$$\n\nMoses' inverse was constructed from the Conquest anchor, while the Temple inverse was constructed from 6 BC. Those original routes remain distinct. The common Creation-held expansion operates on their already established endpoints.\n\n#### 3.9.3 The forward counterpart reaches Moses' reflected birth\n\nThe interval from the shared AD 526 endpoint to the reflected Exodus at AD 1446 is also 920:\n\n$$1446-526=920.$$\n\nNow hold AD 526 and expand this interval forward by 25/23:\n\n$$920\\times\\frac{25}{23}=1000,\\qquad526+1000=1526.$$\n\nThe result is AD 1526, the Rounded Mirror of Moses' adopted birth at 1526 BC. The conversion adds 80:\n\n$$1000-920=80=1526-1446.$$\n\nThat gain is exactly the birth-to-Exodus interval in the adopted Moses chronology. In the reflected display, the birth label lies later than the Exodus label; the operation preserves this stated Mirror orientation.\n\nThe resulting arrangement is:\n\n$$476\\text{ BC}\\xrightarrow{1000}\\text{AD }526\\xrightarrow{1000}\\text{AD }1526.$$\n\nIn Rounded coordinates it is the equally spaced triple \u2212475, +525, +1525. AD 526 is its exact midpoint, and the total Rounded width is:\n\n$$476+1526-2=2000.$$\n\nThe ordinary civil cross-axis counts between these printed labels would be one year larger. The 1000 + 1000 statement belongs to the report's declared Rounded coordinate system."
    }
  },
  "guards": [
    "No second decimal reversal",
    "No new target tally",
    "No source mutation",
    "Diagnostic alternative partitions are mathematical controls, not new chronological nodes",
    "Do not treat derived coefficient20 or weighted ratio4 as independent evidence after computing them from frozen dates"
  ]
}