Independent review of C1232–C1252
Numerical and source review PASS: 45/45 checks. Three reader clarifications are listed below; no numerical correction is required.
The review read all21 execution scripts and sealed findings, checked their21 bound artifacts, compared all12 source excerpts, and regenerated the complete MT/LXX paths from the frozen source row packet without running the numbered scripts. The final reader draft reviewed has SHA256 a6cb32355311f08c1084a7069e47dd4e79670b50e4c48107f08837a260f37ff6.
| Family | Independent result |
|---|---|
| Source and late path | The object is a strict Regular interval path, with Terah70, CainanOFF for MT, Shem+2 excluded and Moses1526 fixed. Jacob’s age at Joseph’s birth is91; Joseph’s age at Entry is39. Rounding90+40 preserves130; Entry→Moses350 completes the480-year Jacob→Moses tail. |
| Complete MT reconstruction | All25 nodes,24 intervals,23 literal source births, both Actual/Rounded columns and every displacement match. The heads are4112/4106; whole spans2586/2580. |
| Whole family | The five blocks are130 |
| Rounding partition | All local changes reproduce129 |
| Biography comparison | Adam’s130/800 are separate biographical values. Two component equalities imply930. Shem’s100/600 then gives100+930−600=430; no independent placement is added. |
| Cross-tradition transfer | The common begetting masks contribute4u and5u/2, yielding SP530 |
| SP scope | The530 |
| Finite variants | All four states were rebuilt by changing the source Terah edge and inserting Cainan once. The initial130/490 differences are invariant. The exact selected cycle lengths and930 total select only the base within this finite nonnegative field. Each130/800 component separately tests its own switch. |
| General versus finite constraint | Arbitrary130/800 partitions are not exhausted by that finite field. The Actual129 |
The integer bridge is complete. Dividing by10 gives 43m−49n=13. Since 43×8−49×7=1, reduction modulo49 gives m≡6. Therefore every integer solution is m=6+49k, n=5+43k; direct substitution proves the converse. Both are positive exactly when k≥0, so6/5 is the smallest positive pair for these fixed coefficients. This arithmetic result does not identify Moses or authorize additional chronological targets.
The reader draft correctly distinguishes typology from arithmetic, a composite path from a biography, source-supplied SP blocks from derived fields, and dependent displays from additional constraints. It makes no historical-redaction, statistical-independence or global-uniqueness claim.
Reader clarifications
- State the base near the opening: Terah70, native CainanOFF, Shem+2 excluded. The bound model states these correctly; the standalone prose should carry them too.
- Replace “ordered genealogy” with “ordered Regular chronological path”, since the tail contains Entry/event intervals.
- Expand the correct shorthand to “Jacob’s age at Joseph’s birth91→90 and Joseph’s age at Entry39→40.” This avoids the earlier preparation’s occasional ambiguous “Joseph91” wording; root’s numerical model already assigns both ages correctly.
No source, numbered journal, root model or reader file was changed by this review. These two new review files are frozen on delivery.