# C333 — Final synthesis source review

**The C324–C332 findings support a source-qualified dissection of the existing 529 construction, while the source-prescribed selection rule remains unestablished.** This review consolidates sealed results; it performs no new source search or numerical research.

The following boundaries must remain together in the final synthesis:

| Established result | Retained limit |
|---|---|
| File09 explicitly prescribes local cumulative 460→500 endpoint constructions. | C324 did not locate the specific regular SP→MT/E/Noah 500 dependency in its bounded four-source audit. This is not absence of all endpoint rules or a repository-wide absence claim. |
| The regular SP/MT fields contain actual 460+40=500 paths. | Their complete 460|40|460 field differs from File09's 40|460|40 field. Shared widths do not identify whole configurations or source node classes. |
| The admitted Noah 950 biography yields a 490 residual at restored MT ON/Terah60. | Other tested MT contexts give 300, 360, 430. The 490 is context-dependent, although it survives the two explicitly permitted 500/502 Shem bindings. |
| Both named modes preserve the 600 transport between the birth and Flood/death fields. | Noah's age 600 at the Flood and Shem's lifespan 600 remain distinct source facts. Rank 9 and dependent residual edges are not independent-witness counts. |
| All four C287 SP 2K paths admit 950+108=1058. | This is a new dissection of an already reported endpoint relation. Primary actual paths are 460+490+108; companion actual paths are 459+491+108. Missing MT companions are not created. |
| New death criteria retain 02 and 22 at primary i3/5; adding two 17K selects 22 at i3/5. | The positive selection is conditional on the complete criterion set. It neither supplies a source prescription nor isolates one annual index. C287 i2 remains valid outside C319's test slice. |

SP primary Noah death retains its inclusive/harmonic qualification, while the matched companion death retains its ordinary-companion qualification. Flood close remains an event boundary. The existing LXX Noah aliases are unchanged; no LXX death study is inferred from the SP dissection.

File46's 23² double-expansion license remains valid, with its Noah 500 resonance explicitly a display motif. Its static 460+30 guard remains local to the Matthew–Luke lattice and cannot be turned into a global prohibition. Exact arithmetic does not supply historical intention, source priority, a preferred chronology, or additional independent witnesses.

The actual component phases, inherited cumulative ancestry, source contexts, and event roles remain separate. A uniform biography translation is not replaced by a common E dilation. No new endpoint, phase, Gear, global operator, anchor, or canonical edit follows from the synthesis.

**Proposed next bounded source question, unexecuted:** is there an explicit supplied-source dependency coupling the cumulative ON-Shem annual +2 choice to the already admitted MT next-Gear Flood start/close used by C287? Audit only the relevant documented state/endpoint rules, distinguishing a prescription from the algebraic two 17K condition a=b. Do not expand into arbitrary numerical searches. C334 requires new authorization; no C334 calculation or search was performed.