# CSM_RH Paper 28 v0.1

Campaign 27 returns directly to signed bilinear PESC and subtracts the modern Lambda-sharp sieve model.

Main results:
- Lambda-sharp has exact mean 1 over its period Q=P(R);
- the centered model primitive is uniformly X^{o(1)};
- subtracting this model changes the dyadic PNT mean square by only O(N^2 X^{o(1)});
- the PESC self-correlation changes by only O(N^2 X^{o(1)});
- therefore, for every first-strip exponent kappa<1/2, canonical PESC is fixed-exponent equivalent to the residual self-correlation for f=Lambda-Lambda-sharp;
- the model/residual cross terms are harmless;
- current H log^{-A}X short-interval residual control is compatible with every fixed smooth drift x^beta, beta<1;
- the sieve model captures local congruence structure but not the polynomial low-frequency drift that carries PESC hardness;
- Campaign 28 attacks endogenous drift coercivity directly.

No proof or disproof of RH is claimed.