# C183 — Source coincidence is exceptional within the tested complement inventory

23 September 2026 · Step 28 of 50, continuing C155.

**The new Flood and Noah complement coordinates do not acquire source identity in the retained graph.** Their generated values are kept distinct from the earlier named Isaac/Abram co-registration.

The bounded inventory compares complements of the held Conquest, Flood and Noah fields, plus the existing Moses/Isaac/Peleg anchors, against positive source-verified C127 nodes. It recovers S(2066)=2166, the already recorded Isaac-birth/Abram-birth numerical correspondence. Their generated and historical node identities nevertheless remain separate.

It also recovers S(2357)=1875, but the proposed Joseph transaction year is not a source-verified historical node. The1874 alternative remains unresolved. Neither the complement identity nor this inventory independently dates the narrative transaction.

No positive source-verified graph node matches the tested Flood or Noah complement images. This is a finite graph-membership result, not a claim that those numerals never occur elsewhere in the repository or history.

## Evidence and scope

K=529. Positive BC base B denotes (B+1)t/Bn BC; reflected AD base A denotes AD At/(A+1)n. Their same-season civil span is B+A, after the no-year-zero correction. AD source projections are not historical AD occurrences. Generated coordinates and interval midpoints do not acquire event identity from numerical coincidence.

Regular Gears remain confined to Noah/Shem/Flood. Creation and Conquest use fixed source-field members; no fourth Gear is admitted. File_18/File_09 and the C127 graph are unchanged. C133–C155 source corrections remain controlling, with the C10 ancestry of the next-Flood-Gear rule now explicit. No historical campaign is rerun, no quarantined primer is reopened, and no N01/N03 expansion or missing Shem join is repaired. Original Reports 01–10 remain previously verified; interrupted original Reports 11–25 remain unestablished.

Sources: controlling File_18 §§2–3, 6A–6D; File_09 paired Mirror rules; selectively retained C05, C08, C10, C123, C128 and C133–C155 evidence. Specific dependencies are named in the body/certificate. **22 assertions passed**; see `RESULTS.json` and `CERTIFICATE.json`. Assertions, selected field combinations and inherited identities are not independent historical witness counts.