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.