# C159 — The sixth row has a sourced G3-primary Noah endpoint

23 September 2026 · Step 4 of 50, continuing C155.

**The sixth row is source-supported at the 11K/17K level:** cumulative OFF 5283, native Creation 4415, reflected Conquest 1404 and SP G3 primary Noah 3710.

| D | b | q | X | D+X |
|---|---|---|---|---|
| 5283 | 4415 | 1404 | 3710 | 8993 |
| 5284 | 4416 | 1403 | 3709 | 8993 |
| 5285 | 4417 | 1402 | 3708 | 8993 |
| 5286 | 4418 | 1401 | 3707 | 8993 |
| 5287 | 4419 | 1400 | 3706 | 8993 |
| 5288 | 4420 | 1399 | 3705 | 8993 |

The upper Noah coordinate 3710 is expressly present in File_18's SP G3 primary field and C10's candidate register. C10 rejected its required cumulative MT starting point, not Noah itself. Consequently, removing the 10K/3K-start requirement leaves six sourced 17K comparison diagonals, rather than five.

This is a reclassification under fewer conditions, not a recovered completed campaign or new historical node. The sixth diagonal is sourced by the retained field even though it has no SP-Noah-3710 node in the frozen C127 graph. It must not silently inherit P6's different G3 companion role or the five-row cumulative 3+7 admission.

## 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. **21 assertions passed**; see `RESULTS.json` and `CERTIFICATE.json`. Assertions, selected field combinations and inherited identities are not independent historical witness counts.