Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 48 min ago
PreprintCC0arXiv

Explanations, Prompts, and Formalizations: Arguments for New Norms in LLM-Enabled Mathematical Research

Abstract

As several mathematical conjectures have recently been settled using large language models (LLMs), the mathematical community has formulated norms and recommendations regarding the publishing of such results. These norms do not cover the disclosure of the prompts and precise software setup used to obtain those results, nor do they require that results be formalized in a manner that allows for machine verification. I argue that both of these are essential. In addition, since LLM-obtained results may be hard to understand, human authors have the responsibility to invent intuitive explanations.

Related

  1. Types of statistical arguments in empirical research in psychology
    Gustavo Andres Marquez Flores, Rink Hoekstra, Henk A. L. Kiers +1
    Royal Society Open SciencePeer-reviewedCC BY 4.0Full textStatisticsCrossrefEurope PMCPMC
  2. Research profiles and the mathematical landscape: A grassroots proposal for mathematics with AI
    Helmut H. W. Hofer
    arXivPreprintCC BY 4.0Full textGeneral mathematicsarXiv
  3. The Equational Theories Project: Advancing Collaborative Mathematical Research at Scale
    Matthew Bolan, Joachim Breitner, Jose Brox +31
    HALPreprintCC BY 4.0Full textAlgebra & number theoryHAL
  4. A Central Limit Theorem for High-Temperature SYK Model: A case study on mathematical research using AI and Lean
    Yoshinori Kamijima, Shuta Nakajima, Ryoichiro Noda +1
    arXivPreprintarXiv licenceFull textMathematical physicsProbabilityarXiv
  5. Recursive Reasoning Exploration: Mathematical Research through Evolving Reasoning Graphs : case study: An Exact Certificate-Degree Theorem for Two-Term Tensor Decompositions : Phase III of the Math Instruments Program
    Ying Xie
    arXivPreprintCC BY 4.0Full textGeneral mathematicsarXiv
BibTeX
@misc{boldt2026explanations,
  title = {{Explanations, Prompts, and Formalizations: Arguments for New Norms in LLM-Enabled Mathematical Research}},
  author = {Axel Boldt},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.29401},
  eprint = {2608.29401},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29401},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Explanations, Prompts, and Formalizations: Arguments for New Norms in LLM-Enabled Mathematical Research
AU  - Axel Boldt
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.29401
UR  - https://arxiv.org/abs/2608.29401
AB  - As several mathematical conjectures have recently been settled using large language models (LLMs), the mathematical community has formulated norms and recommendations regarding the publishing of such results. These norms do not cover the disclosure of the prompts and precise software setup used to obtain those results, nor do they require that results be formalized in a manner that allows for machine verification. I argue that both of these are essential. In addition, since LLM-obtained results may be hard to understand, human authors have the responsibility to invent intuitive explanations.
ER  -