# CSM_RH Paper 43 package

This package advances CSM_RH from state v1.33 to v1.34.

Main certified results:

- exact factorisation `c_X(n) = lambda(n) r_X(n)` with `r_X(n) >= 0`;
- exact determinant-fibre parametrisation of shifted Type-II product correlations;
- algebraic incidence counting alone remains at the orthogonality floor;
- the trivially harmless shift shell extends from `X/Q` to `(X/Q) X^(epsilon/2-61w/100)`;
- every residual long determinant fibre has polynomial phase variation;
- current logarithmic Chowla results do not directly close the required weighted single-scale fixed-X-power estimate.

Campaign 42 closes as `CLOSED_AS_WEIGHTED_LIOUVILLE_POLYNOMIAL_PHASE_LOCALIZATION`.

Campaign 43 opens as `WEIGHTED_LIOUVILLE_POLYNOMIAL_PHASE_ATTACK`.

No RH proof or disproof is claimed.