# CSM_RH Paper 46 package

This package advances CSM_RH from state v1.36 to v1.37 inside Campaign 43.

Main certified results:

- the exact structured weight `r_X` has natural second-moment scale `X^(1+o(1))`;
- the Paper 45 smooth carrier and an explicit rough non-repeated carrier both have full exponent coefficient energy;
- an explicit sign-coherent smooth subweight also has full exponent energy, blocking positivity/absolute-value weight-only decoupling;
- polynomial-prime Ramaré marking has bounded per-coefficient multiplicity at the fixed polynomial threshold and preserves rough-branch L2 energy up to constants;
- any fixed polynomial sub-band of raw marked weights carries natural total energy;
- every legal factor bipartition returns the determinant equation `a'b' - ab = h`;
- absolute determinant-fibre counting conserves total volume at `X^(1+o(1))`, reproducing the orthogonality floor;
- preserving the signs returns the problem to genuine Mobius/Liouville arithmetic rather than producing weight smallness.

WL3 closes as `CLOSED_AS_NATURAL_L2_SATURATION_BOUNDED_MARK_MULTIPLICITY_AND_DETERMINANT_CYCLE_BARRIER`.

Campaign 43 remains open.

Next continuation: Campaign 43 / WL4 — `CROSS_J_PRE_SQUARE_RECOMBINATION`.

No RH proof or disproof is claimed.