GitHub LaTeX Template

Abstract

• LaTeX template for GitHub including general CI/CD actions and Mathematica templates.
• Best compatible with JetBrains Rider 2024.3.8 Build #RD-243.26574.73, built on May 18, 2025.
• Plugin: https://plugins.jetbrains.com/plugin/9473-texify-idea

DOI: https://doi.org/10.5281/zenodo.18040979

MSC2010: 05A19, 05A10, 11B83, 03C40.

Keywords: Sums of powers, Newton's interpolation formula, Finite differences, Binomial coefficients, Faulhaber's formula, Bernoulli numbers, Bernoulli polynomials, Interpolation, Combinatorics, Central factorial numbers, OEIS, Stirling numbers, Eulerian numbers, Worpitzky identity.

References

• Knuth, D. E. (1993). Johann Faulhaber and sums of powers. Mathematics of Computation, 61(203), 277–294. https://arxiv.org/abs/math/9207222
• Newton, I., & Chittenden, N. W. (1850). Newton's Principia: The mathematical principles of natural philosophy. New-York: D. Adee. https://archive.org/details/bub_gb_KaAIAAAAIAAJ/page/466/mode/2up
• Graham, R. L., Knuth, D. E., & Patashnik, O. (1994). Concrete mathematics: A foundation for computer science (2nd ed.). Addison-Wesley Publishing Company, Inc. https://archive.org/details/concrete-mathematics
• Pfaff, T. J. (2007). Deriving a formula for sums of powers of integers. Pi Mu Epsilon Journal, 12(7), 425–430. https://www.jstor.org/stable/24340705
• Sloane, N. J. A., et al. (2003). The on-line encyclopedia of integer sequences. https://oeis.org/
• Cereceda, J. L. (2022). Sums of powers of integers and generalized Stirling numbers of the second kind. arXiv preprint arXiv:2211.11648. https://arxiv.org/abs/2211.11648
• Worpitzky, J. (1883). Studien über die bernoullischen und eulerschen zahlen. Journal für die reine und angewandte Mathematik, 94, 203–232. http://eudml.org/doc/148532
• Steffensen, J. F. (1927). Interpolation. Williams & Wilkins. https://www.amazon.com/-/de/Interpolation-Second-Dover-Books-Mathematics-ebook/dp/B00GHQVON8
• Carlitz, L., & Riordan, J. (1963). The divided central differences of zero. Canadian Journal of Mathematics, 15, 94–100. https://doi.org/10.4153/CJM-1963-010-8
• Riordan, J. (1968). Combinatorial identities (Vol. 217). Wiley New York. https://www.amazon.com/-/de/Combinatorial-Identities-Probability-Mathematical-Statistics/dp/0471722758
• Scheuer, M. (2020). Reference request: identity in central factorial numbers. https://math.stackexchange.com/a/3665722/463487
• Kolosov, P. (2025). Mathematica programs for finite differences, Stirling numbers, and sums of powers. GitHub repository. https://github.com/kolosovpetro/NewtonsInterpolationFormulaAndSumsOfPowers/tree/main/mathematica

GitHub Actions used

• https://github.com/actions/checkout
• https://github.com/pandoc/actions
• https://github.com/jgm/pandoc/releases
• https://github.com/GitTools/actions/blob/main/docs/examples/github/gitversion/index.md
• https://github.com/xu-cheng/latex-action
• https://github.com/actions/upload-artifact

How to use Mathematica package

• Open the package file GithubLatexTemplateMathematicaPackage.m in Wolfram Mathematica, I use version 13.0
• Execute the package using Shift+Enter
• Open the notebook file GithubLatexTemplateMathematicaNotebook.nb
• Execute the line: Needs["GithubLatexTemplateMathematicaPackage"]
• Continue your work as desired

Configure CI / CD

• Update root file name in build-pdf.yml and build-and-deploy-pdf.yml
• Set repository secrets
  • GH_ACCESS_TOKEN: Generate GitHub Personal access token at Settings -> Developer Settings -> Personal access tokens -> Generate mew token

Actions and their trigger policy

• build-pdf.yml builds project using TeXLive. Triggered on pull_request, push to develop branch
• build-and-deploy-pdf.yml builds project using TeXLive and deploys to GitHub Pages. Triggered on push to main branch

Template example

Compiled document looks like as follows