# 490d C368 — Noah19K and joined-map selector intersection

24 September 2026. Step 5 of 10 in the C364–C373 authorization.

**The fixed19K whole-Noah criterion selects cumulative a=2; the joined regular criterion selects primary b=2.** Their conjunction retains22:i3/i5 in the held C319 slice.

| Criterion | Source-admitted controls |
|---|---|
| Native Noah950 transported by fixed19K |20:i3,i4,i5;22:i3,i4,i5 |
| Regular joined460/598→500/600 mapping |02:i3,i5;22:i3,i5 |
| Both |22:i3,i5 |

For every control, the required whole-Noah translation is `N−S=19K+2−a`. The950 lifespan moves both endpoints together, so it does not add another condition to that long cross-span. Since `N−S=17K+(q−S)`, requiring19K is equivalent to requiring the cumulative2K side. The biography result gives this condition a source-role interpretation; it does not establish a new independent selection rule.

The native Noah member is available exactly where the inherited cumulative annual domain permits it. Source-invalid edge controls remain excluded. C287’s complete i2 companion row remains retained outside this C319i3…7 slice; no broader exclusion is inferred.

The new source interpretation is therefore useful but bounded: two separate numerical/source comparisons meet at the existing primary22 choices, while no reviewed instruction prescribes their conjunction. The two950 biographies in each Cainan/context field also allow a direct test of whether one19K translation can carry both states together.

## Verification and limits

44 main checks and 17 frozen-input/predecessor authentication checks passed. A second main replay produced byte-identical DATA/RESULTS. These checks and the source interpretation were performed by the root agent; no new independent-agent review is claimed. All frozen originals and standing controls remain unchanged. Verification counts are not independent-witness counts.

The conjunction remains conditional on the stated criteria. A source-role interpretation does not turn a numerical condition into a textual prescription.

Mirror/529 focus: K=529, E=25/23, P=70/69. Global paired Mirror January AD1; local junction January AD2; no civil year zero. Regular Gears are Noah/Shem/Flood only. SP minus-one person companions remain local to SP Noah/Shem; Flood close is a separate boundary. No upstream/cumulative Gear, new endpoint or phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Capture now; canonize later. Source identity, context, modal binding, generated coordinates and phase ancestry stay distinct.

## Decision after this result

**C369, proposed and unexecuted:** Construct the complete2×2 matrix of lifespan-preserving translations between the two cumulative Noah states and the SP/restored-MT Noah biographies at each complete C287 row. Keep the companion annual-index adjustment explicit, and reduce the bridge lengths modulo529.

A single native lifespan transports successfully, but carrying both source states may require different bridge constants. The finite matrix can expose that dependence and its529 arithmetic without introducing new endpoints.