All-depth root-Laguerre positivity with nonreal Fourier zeros
Scott Schubr, October 25, 2026

main.pdf is the manuscript. The four TeX files main.tex, certificate.tex,
gaussian.tex and references.tex are its complete editable source. Build in
this directory using Tectonic (tectonic main.tex) or a standard LaTeX engine
with the packages declared in main.tex. No external images, bibliography
database or private file is required.

verify_cumulant.py uses the Python standard library. Run:
  python verify_cumulant.py
  python -O verify_cumulant.py
It reconstructs exact rational moment enclosures and the negative sixth
cumulant. It uses no quadrature, floating-point acceptance or saved moment
inputs. Read the manuscript for the global integral bounds and all-depth
induction; finite arithmetic checks alone do not establish those proofs.

CITATION.cff supplies citation metadata. MANIFEST.sha256 lists the SHA-256
of every public member other than itself. This author preprint has not
undergone external human refereeing. Newman supplies the classical
bad-Gaussian-tilt existence background. The explicit all-depth example is
not an actual Riemann theta counterexample or a resolution of RH.
