{"id": "c356", "title": "Source-event pivot census for E translations", "filename": "490d_C356_Five_Source_Pivots_and_Three_460_to_500_Realizations_20260924.md", "role": "Research action", "step": 356, "sha256": "172cc972ab35945758234aa48b1b63c4688af1b4e264285bdbd3fa6f73bda092", "bytes": 3328, "origins": ["C01–C479/packets/C356/490d_C356_Five_Source_Pivots_and_Three_460_to_500_Realizations_20260924.md"], "download": "/sources/172cc972ab35945758234aa48b1b63c4688af1b4e264285bdbd3fa6f73bda092.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Counts & NT", "Mirror / 529"], "excerpt": "490d C356 — Five source pivots and three460→500 realizations\n\n24 September 2026. Step 3 of 10 in the C354–C363 authorization.\n\nA second translated realization survives at SP Shem death. The five source-determined pivot offsets are0,−500,−600,−950,−1100 from SP Noah birth. Forty checks cover the four original forward E ", "content": "# 490d C356 — Five source pivots and three460→500 realizations\n\n24 September 2026. Step 3 of 10 in the C354–C363 authorization.\n\n**A second translated realization survives at SP Shem death.** The five source-determined pivot offsets are0,−500,−600,−950,−1100 from SP Noah birth. Forty checks cover the four original forward E relations at those five pivots in both primary fields.\n\n| SP fixed endpoint | MT input | Output | Gap conversion |\n|---|---|---|---|\n| Noah birth3706 | Restored Noah birth3246 | SP Shem birth3206 |460→500 |\n| Flood start3106 | Restored Flood start2646 | SP Shem death2606 |460→500 |\n| Shem death2606 | Restored Shem death2146 | Base MT Noah death2106 |460→500 |\n\nThe second field adds2 to every displayed coordinate. All endpoints belong to the frozen register under the same named contexts as the preceding reports. The new final row is `2606+(25/23)(2146−2606)=2106`.\n\nThe first two columns follow the same roles: Noah birth→Flood start→Shem death, spaced600 then500. The output column follows SP Shem birth→SP Shem death→MT Noah death, also600 then500, but the final move crosses traditions. Keeping that change explicit is essential.\n\nTen nontrivial triples survive across both placements: the six original triples and four translated ones. Offsets−500 and−950 yield no complete nontrivial relation. At−600 and−1100 only the translated460→500 arrow survives. The longer1058→1150→1250 chain remains confined to its original Noah-held placement in this census.\n\nThese repeated460→500 triples are connected by source-determined translations. They therefore share arithmetic ancestry and must not be counted as independent confirmations. Their value is a smaller description of the admitted endpoint structure.\n\n## Verification and limits\n\n56 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.\n\nTranslation covariance explains related triples; repetition is not an independent witness count. No whole-field translation action or broader Gear domain is inferred.\n\nMirror/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.\n\n## Decision after this result\n\n**C357, proposed and unexecuted:** Derive the three-row construction from the source offset and lifespan constants, then exhaust the held context/Gear/SP-rail menu to determine which settings support all three rows together.\n\nThe finite pivot census found a repeated structure. Its evidential value now depends on isolating the independent source constants and testing whether the same pattern survives the declared alternatives.\n"}