{
  "number": 456,
  "date_UTC": "2026-09-25",
  "title": "E-Square Integrality and Source Admission Gates",
  "question": "Prove the exact E² integrality criterion and stage the13 sourced-effective-pivot words through integer output, sourced output and sourced intermediate gates, separating forced529 factors from source admission.",
  "authorization": "Next 25 bounded steps C445–C469, sequentially reassessed and saved. C470 outside authorization.",
  "scope": "Mirror/529 focus: K=529, E=25/23, P=70/69; J=300/299 remains File02 gap conversion, not a calendar date operator or Residue Protocol. Regular Gears are Noah/Shem/Flood only. SP person companions are local to Noah/Shem; Flood close is an independent event boundary. Both500/100 and502/98 bindings remain valid; SP primary Noah death retains its inclusive/harmonic qualification. LXX native Cainan is ON; OFF is theoretical removal. Global paired Mirror January AD1; local junction January AD2; no civil year zero. No new source point, phase, fitted axis, upstream/cumulative Gear, primer reopening or canonical/graph edit. Capture now; canonize later. Coordinates, source labels, context aliases and derived comparisons remain distinct. Counts are not independent historical witnesses."
}