PRF-PR-60A–60L — Endpoint-Sparse q-Wronskian, Root-Chamber, and Radial-Angular Mechanism Chain — Restricted Research Preservation Record

This restricted research preservation record documents the PRF-PR-60A–60L mechanism chain for endpoint-sparse positive palindromic polynomial branches. The preserved material develops an endpoint-sparse q-Wronskian normal form and branch non-uniqueness correction, sparse root-chamber rigidity, rotated spectral-product and dual Toeplitz/moment normal forms, a rank-one necessity result after collapse of a natural convex relaxation, harmonic-measure charge and radial-proximity laws, exceptional radial boundary-layer packet structure, a finite resultant balance with a conditional radial-angular continuum law, an exact cell-DFT alias operator with dual microscopic radial scales, and a cell-variation packet/plateau dichotomy. The individual freezes contain exact identities, internal proof-complete results, theorem-level internal consequences, and explicitly conditional statements. Their original status labels are preserved and are not promoted by this record. This deposit does not claim a complete Catalan lower bound, global Catalan optimality in the full positive-palindromic cone, worldwide novelty or priority, or any cryptographic pseudorandom-function or security result. PRF-PR is an internal branch identifier, not a cryptographic primitive. The files are retained under restricted access for provenance, integrity preservation, controlled scholarly review, and later publication assessment. Public disclosure or promotion requires a separate explicit release decision.