{
  "number": 382,
  "date": "2026-09-24",
  "title": "Moving-pivot mixed-square law for P and J",
  "question": "Do the two operator orders agree on the admitted moving-pivot source paths, and what exact algebra explains it?",
  "authorization": "User authorized next10 bounded steps C374–C383; next question reassessed after each completed result.",
  "scope": "Mirror/529; regular Gears Noah/Shem/Flood only; SP companion local. Fixed source inputs, no canonical/graph changes."
}