# CSM_RH Paper 05 v0.1

Main results:

- CSSA is exactly the zero-frequency value of the centered pair polynomial.
- Generic L2-to-point recovery has a sharp sqrt(N) loss.
- Summing all centered shifts at each endpoint reconstructs half the squared PNT error plus lower-order deterministic terms.
- The zero-frequency prime paraproduct is exactly a PNT mean-square energy increment.
- Generic additive phase cancellation and generic bilinear decorrelation are therefore not the missing theorem.
- A fixed-gap arithmetic contraction is isolated as a concrete sufficient mechanism.
- Campaign 05 is prepared to search for zero-frequency multiplicative contraction.

No proof or disproof of RH is claimed.
No live GLM provider run is claimed.