# 490d C385 — Unique E-transport pivots and the Shem-death source lift

24 September 2026. Step 2 of 10 in the C384–C393 authorization.

**The required J pivot is already sourced: it is the next-Gear SP/LXX Shem death. The required P pivot is absent.** This resolves the first mixed-diagram obstruction asymmetrically, while retaining the original sources and Gear scope.

For each admitted regular repair x→x+2, the held Noah point satisfies N−x=460. The moving E comparison gives z=E_N(x)=x−40 and E_(N+2)(x+2)=z+2. For that image edge, a J pivot is uniquely z−598 and a P pivot uniquely z−138. Thus both would be40 below their original Flood pivots.

|Original MT Noah edge|E image: SP/LXX Shem birth edge|Required J pivot|Required P pivot|
|---|---|---:|---:|
|3031→3033|2991→2993|2393, sourced Shem death|2853, absent|
|3033→3035|2993→2995|2395, sourced Shem death|2855, absent|
|3246→3248|3206→3208|2608, sourced Shem death|3068, absent|
|3248→3250|3208→3210|2610, sourced Shem death|3070, absent|

The first two rows use the already admitted lower full430 branch; the last two use the original full430 branch. Each coordinate row has separate SP primary and LXX Cainan-OFF context lifts. The input and output Shem births, corresponding Noah births, and J pivot all match their tradition, branch and Gear labels. Four coordinate squares therefore have eight labelled context lifts; aliases are not extra witnesses.

The source check searched the entire528-record regular register, including all Noah/Shem/Flood roles, rather than only Flood pivots. All four required J coordinates have the appropriate SP/LXX Shem-death records. None of the four required P coordinates appears anywhere in that frozen menu.

The distinction from static conjugacy remains essential. The required moving J pivot is E_N(R)+52; the unavailable P pivot would be E_N(B)+12. These corrections come from the existing two-year difference between the held Noah centers. They are solved requirements, not fitted or newly adopted anchors. The J result changes the pivot's event role from MT Flood to SP/LXX Shem death. It does not contradict C378's exhaustive result restricted to Flood pivots.

Sources: C379 provides precisely the four admitted original repairs. C286 supplies all labelled birth/death records and the negative P-pivot membership result. C384 records the direct-pivot order defect that motivated this test.

## Verification and limits

33 main checks and 15 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.

This is source membership for a constructed finite comparison, not a reviewed instruction prescribing the pairing. SP/LXX coordinate aliases remain distinct records. The P absence claim is confined to the frozen regular register.

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

**C386, proposed and unexecuted:** Verify the surviving E/J square as a whole affine identity, determine its exact relation to the sourced500/600 Shem geometry, and distinguish a matched-component comparison from one physical-time map.

C385 found a genuine source-qualified J continuation where the direct Flood-pivot square failed. Its algebra and phase meaning should be settled before extending the diagram.