# Revised LaTeX preprint package

Files:
- `main.tex` — revised manuscript source
- `references.bib` — bibliography
- `main.pdf` — compiled PDF (created by the validation build)

The validated PDF is 18 pages on A4 paper with an 11 pt article layout. It is not 30 pages; it has not been padded with repetitive material. Reaching 30 pages responsibly would require additional original results or substantial proof work, not merely formatting changes.

## Compile

With a standard LaTeX toolchain:

```bash
latexmk -pdf main.tex
```

For a direct build in the tested toolchain, run:

```bash
pdflatex -interaction=nonstopmode main.tex
bibtex8 main
pdflatex -interaction=nonstopmode main.tex
pdflatex -interaction=nonstopmode main.tex
```

The validation build used `bibtex8`; standard TeX Live installations may also support the `latexmk` route above.

## Important scientific status

This is a careful coefficient-level research note, not a proof of the Riemann hypothesis and not a new numerical upper bound for the de Bruijn--Newman constant. It includes exact identities and a threshold reformulation using classical results. The manuscript author is set to **Pulin Shi**. No affiliation or email has been added because none was provided.

The central correction relative to earlier drafts is that the nonnegative family of consecutive minors is **not** asserted, without further proof, to characterize total nonnegativity. The manuscript uses the strict one-sided consecutive-minor criterion: all `D_t(n,r) > 0` for every shift and every order. Correspondingly, below the threshold it concludes that some consecutive minor is `<= 0`, not necessarily `< 0`.

The bibliographic status of public 2026 computational claims changes as repositories are updated. In particular, a public index viewed on 24 October 2026 listed certificate packages down to a reported 0.1595; it marked post-2021 packages as self-archived, non-refereed, and not independently replayed. A separate preprint reports a value below 0.158 conditional on stated analytic inputs. Neither claim is established by this manuscript. Review all source references and theorem hypotheses before submission.

The author name is set to `Pulin Shi` in both `main.tex` and the PDF metadata. Add affiliation, email, acknowledgements, and declarations only where accurate; no affiliation or email has been invented. This is a technical research note / structural reformulation, not an original proof of RH or an independently verified new upper bound for Λ.