Research action

Finite P/J source-edge census at the retained Flood pivots

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Study sequence: Finite E/P/J transport graphs and Noah→Shem return loops (C374–C413) · Mirror & 529

490d C376 — Fixed-pivot P/J source-edge census

24 September 2026. Step 3 of 10 in the C374–C383 authorization.

At each fixed pivot pair, the shared P/J repair has no further source-supported continuation. The census tests every coordinate in the existing48-member cumulative menu and528-record regular menu; the latter has373 distinct coordinates, retaining all source identities at coincidences. Fixed points are counted separately.

Field and rowsNontrivial comparisons at each fixed pair
Cumulative i=2,3,4,5Only the known OFF-Shem two-year edge, carried by both P and J
Regular primary i=3,5The known MT-Noah two-year edge under P and J, plus one J-only299→300 edge
Regular companion i=2,4One J-only299→300 edge; no shared P/J edge

Across the eight pivot fields there are16 labelled operator edges, representing10 directed coordinate edges, plus16 operator fixed points. Six directed edges are shared by P and J: four cumulative and two regular. These are menu counts, not independent witnesses.

None of the candidate repaired outputs has a further nontrivial forward P or J edge at its unchanged pivots. None of the known inputs has a nontrivial incoming forward edge there. Allowing inverses simply reverses the listed comparisons; it does not supply additional source endpoints.

The additional regular edges are:

iRestored-MT Flood pivotJ-only source coordinates
226472946 → 2947
326482947 → 2948
426492948 → 2949
526502949 → 2950

Each input is299 from its own pivot and its output300 away. The coordinate sequence looks continuous only after changing the Flood pivot between edges. Several coordinates carry more than one source identity. The next step must resolve their ancestry before treating this as a chronological chain or a lifespan transport.

Verification and limits

18 main checks and 16 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.

Source-edge enumeration is a finite comparison at inherited pivots, not blanket source permission to apply operators in every context. Coincident records, inverse edges and fixed points are not new witnesses.

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

C377, proposed and unexecuted: Resolve the source ancestry of the four additional299→300 edges. Test whether they form one admitted Noah-death family, whether matching Noah births travel with them, and whether their cumulative exchanged coordinates exist in the frozen menu.

The census exposes a finite new pattern within Noah/Flood scope. Source roles and the difference between endpoint conversion and950-year biography transport must be established before extending the pattern.

Edition and provenance

490d_C376_Fixed_Pivot_P_J_Source_Edge_Census_20260924.md

SHA-256 8ed3669c45a04d53e414494f89242a1e43be8bb1659a15641e8d5c8870531899

C01–C479/packets/C376/490d_C376_Fixed_Pivot_P_J_Source_Edge_Census_20260924.md