riemann

Original theta evolution: publication record

Rendered audit · original review record

Published at Alex’s explicit request on October 5, 2026. The report and original review record are preserved byte-for-byte. Their “no push” statements describe the completed local audit, before this publication request. Local absolute paths in the original record identify historical provenance, not public dependencies. This publication supersedes only the local disposition.

Wall check: Same open gap — ZERO-GEOMETRY, NS100/101. The original normalized Jacobi equation excludes the precise NS101 reciprocal mixture: its leading exponential gives a nonzero residual. The regularized disk operator is shared by that mixture, so its positive energy alone supplies no transform-sign implication. A finite constant-matrix moment system containing the complete zero-frequency slice is excluded by its decay. Variable-coefficient, nonlinear and infinite systems are not excluded.

The first radial derivative is the first Laguerre expression. No uniform height bound, new research node, thaw, manuscript version or numerical certificate is claimed. Both historical original-evidence recovery groups remain OPEN.

Supporting notes

These two notes come from the preceding ten-agent review. Their references to that review’s shared brief are provenance, not needed mathematical premises: the definitions, source and calculations used here are included. The subsequent orbit follow-up itself was self-checked, not reviewed by those ten agents. External source certificates were not independently replayed.

Reproducibility and scope

This is a paper algebra and applicability audit. No numeric or symbolic scan was run. NS101 is screened analytically using its leading exponential; NS100 already excludes pointwise slice positivity for the original kernel. Davenport–Heilbronn has different theta coefficients and completion, so is not an instance of the specified original-lattice IVP. NS74/83 concern NB. See the preserved report for hypotheses, tails and boundary terms.

The publication PR records the unchanged manuscript build and checks. The next task is to assess an estimating mechanism for the original two-shift orbit; repeating the desired sign or these identities is not that mechanism.