Rendered report · complete derivation · review record
Wall check: Same open gap — ZERO-GEOMETRY, NS100/101, PR74. No original-theta sign method is admitted.
The common-modulus addition formulas do not accept the original pair’s different moduli by merely substituting s+t and s-t as elliptic arguments. Commensurable-modulus identities exist, and are scoped separately; no exclusion of all addition methods is claimed.
An exact all-shift lattice reindexing retains parity and coupling. Applying the original differential operators and a smooth homogeneous subtraction gives a complete moment identity for C. Its separate moments grow: the explicit bound M_0(t)>=2(t-1)exp(t) prevents their use as separate ordinary Fourier integrals. The full differential combination equals 256*C and decays; its signed cancellation remains unestimated. A positive lattice quadratic form is not positive definiteness of C in its translation variable.
The arithmetic data are unchanged in the valid identities, but no independent signed estimating method emerged. Stop before numerical/symbolic scans. Local paper self-review only; no new agent proof review or external certificate replay. No row, node, thaw, certificate or manuscript version. The six-agent archive and all previously delivered reports are preserved. Both missing-original groups remain OPEN; RH, G2 and all original cofinal arithmetic inputs remain open.