# Mathematical and source-interpretation review of the integrated draft

**Disposition: mathematically sound, with one phase-label precision needed before final delivery.** No numerical correction, new research calculation, source change, or journal rewrite is requested.

Reviewed `deliverables/Integrated_Draft_Review_Copy.md`, headed “C631 and completed C632–C716 research.” The review compared its main claims with the C631 synthesis, current journal findings, the preceding independent reviews, and the relevant File70/Supplement A source passages. It checked mathematical dependencies and source interpretation without replaying the numbered work or editing the candidate.

## Required precision

In “Centers and phases explain the fine structure,” explicitly label the4326/1416,4336/1406,4341/1401 corridor table as the **Nisan-coordinate display**. Likewise, the following statement that the120 envelope and Enoch70 body have center2911 should say **Nisan center2911**, with corresponding exact Tishri center2911.5. The corresponding corridor centers are2871n and exact2871.5, displayed2872t.

The draft already states the coordinate rule and the two2871/2871.5 centers correctly. The small addition prevents its later unsuffixed center statements from flattening the phase distinction. This is a wording precision, not a change to the equations or the underlying constructions.

## Claims checked and retained

| Claim family | Assessment |
|---|---|
|Regular/cumulative source differences|The b/r/L explanation, Cainan130/460 distinction, LXX/SP movements, and lack of one scalar mode conversion agree with the inherited controlled comparison.|
|Covenant completion|299+161, uniform500, diagnostic475, local27−4=23, and the additional terminal161 placement are correctly distinguished.|
|Rounded path evaluation|Both primary12026 constructions, nonadditivity under total-span reversal, and the distinction between retained path order and summed endpoints are correct.|
|Actual–Rounded square|Whole J and terminal-only E both reach1404 from14004, while their intermediate junctions differ525/13. The subsequent+2 pair translation and weighted4C+R conservation are correct and do not identify historical Exodus with1404.|
|Calendar normalization|The common8400/23 calibration, common897 input lattice, cross-Key coincidences with fixed anchor/direction, and partial-fraction formulas are exact.|
|Genealogical/indexed families|The42-coordinate cumulative family, Joseph collateral geometry, five-node Creation/Terah refinement, and Enoch role/index distinctions preserve the named inputs and local scopes.|
|Calendar-half minimum|The2366 least-positive claim is explicitly conditional on fixed14/26 offsets and half-calendar divisibility. The130 correction from2236 is correctly framed as returning to that class, without a historical insertion claim.|
|Jacob and cumulative objects|Two Jacob centers remain distinct; Judah1789 remains secondary; the indexed4900 body and fixed-outer1936.5 diagnostic are qualified. The2083/1936/1446 path is now explicitly identified as whole-year.|
|Core/flank mechanism|The two750 roles, whole-versus-partial excess,1470 scalar regroupings, and20-fold micro/core relation are correctly separated.|
|Phase normalization|The phase-specific map requirement, source-defined2.5 residual,6 versus5.5 gains, nested120 field, and1470 versus1475 comparison preserve the measured object distinctions.|
|Micro/macro units|12558 days and12558 years remain different units; the extra840-day interpretation is explicitly derived. Native14006 and generated14146/14846 have their distinct status. The §10.3 locator is correct.|
|4346 and retained macro paths|Both anchored routes,190 gain compensation, civil1470 ladder, refined/coarse4900 paths, effective91/90 and16/15 ratios, and junction differences98/3 and196 are exact. The ratios describe totals, not identical paths.|
|Bounded comparison fields|Paired-Key assignments remain directional; only2916/2876 are direct outputs. Fixed twelve-node reflection,8/12/8/4 overlaps, conditional center placement, Long5742 distinction, and §13 working-amendment status are retained.|
|529 and final scope|The k529→k575→k625 width law and anchor dependence are stated correctly. No global minimality, universal rotation, statistical independence, or historical proof is asserted.|

## Citation and presentation refinements

- Add **C523** to the SP218-year state-bridge citation. C528 and C613 provide dependency summaries, while C523 is the direct bounded reconstruction.
- The draft cites `REVIEW_C692_C709`; that report was not present when this review inspected the evidence directory. Ensure the report is present before delivery, or change the citation to the actual completed review. This is a delivery-reference check, not a mathematical objection.
- To prevent an ambiguous antecedent, describe14726 as the continuation of the **primary12026** backbone; the immediately preceding13016 refinement is a different branch.
- Describe the3257 Enoch interior cut as the **Appendix D corroborating partition**. The current calculation and citation are correct; this phrase would preserve the source's evidence weight more visibly.
- In the Isaac paragraph, “the full-to-upper ratio15/14” is slightly clearer than the bare “ratio15/14”: the two legs themselves are14:1.

The latter three changes are recommended clarity refinements. They do not correct a false numerical statement.

## Overall conclusion

The draft now explains causal dependencies rather than merely juxtaposing equal numbers: source geometry generates complete rails; calibrated ratios act on declared measures; retained components explain equal totals with different paths; and source anchors account for placement. The remaining source choices are visible, and evidence grades are not converted into statistical independence or historical causation. With the Nisan/Tishri center wording made explicit and review references checked at delivery, the draft is suitable to carry forward as a working synthesis.