Collision Certificate
For an absorbed location the certificate records the absorber prime p, its activation p² and the collision position. The cofactor is read off the known collision schedule only as a report — it is never used to make the composite decision.
PCF operational decision = location survival under all active prior waves. Mathematical interpretation: incremental wheel-sieve construction. This is sieve-type mathematics — no novel primality proof is claimed from mod-30 location alone.