cff-version: 1.2.0
message: |
  If you use the GAP framework or the PutnamGAP dataset, you MUST cite both
  this work and the four MAA Putnam source books listed in the README under
  "Citation".
title: "GAP — Generalization-and-Perturbation Framework for LLM Mathematical Reasoning Robustness"
authors:
  - family-names: Hao
    given-names: Yuren
  - family-names: Wan
    given-names: Xiang
  - family-names: Zhai
    given-names: ChengXiang
year: 2025
url: "https://github.com/YurenHao0426/GAP"
repository-code: "https://github.com/YurenHao0426/GAP"
license: CC-BY-4.0
preferred-citation:
  type: article
  title: |
    An Investigation of Robustness of LLMs in Mathematical Reasoning:
    Benchmarking with Mathematically-Equivalent Transformation of Advanced
    Mathematical Problems
  authors:
    - family-names: Hao
      given-names: Yuren
    - family-names: Wan
      given-names: Xiang
    - family-names: Zhai
      given-names: ChengXiang
  year: 2025
  journal: "arXiv preprint arXiv:2508.08833"
  url: "https://arxiv.org/abs/2508.08833"
references:
  - type: book
    title: "The William Lowell Putnam Mathematical Competition: Problems and Solutions 1938-1964"
    authors:
      - family-names: Gleason
        given-names: A. M.
      - family-names: Greenwood
        given-names: R. E.
      - family-names: Kelly
        given-names: L. M.
    year: 1980
    publisher:
      name: Mathematical Association of America
    notes: "MAA Problem Books, vol. 1; reprinted by AMS/MAA Press"
  - type: book
    title: "The William Lowell Putnam Mathematical Competition: Problems and Solutions 1965-1984"
    authors:
      - family-names: Alexanderson
        given-names: Gerald L.
      - family-names: Klosinski
        given-names: Leonard F.
      - family-names: Larson
        given-names: Loren C.
    year: 1985
    publisher:
      name: Mathematical Association of America
    notes: "MAA Problem Books, vol. 30"
  - type: book
    title: "The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary"
    authors:
      - family-names: Kedlaya
        given-names: Kiran S.
      - family-names: Poonen
        given-names: Bjorn
      - family-names: Vakil
        given-names: Ravi
    year: 2002
    publisher:
      name: Mathematical Association of America
    notes: "MAA Problem Books, vol. 33"
  - type: book
    title: "The William Lowell Putnam Mathematical Competition 2001-2016: Problems, Solutions and Commentary"
    authors:
      - family-names: Kedlaya
        given-names: Kiran S.
      - family-names: Kane
        given-names: Daniel M.
      - family-names: Kane
        given-names: Jonathan M.
      - family-names: O'Dorney
        given-names: Evan M.
    year: 2020
    publisher:
      name: American Mathematical Society (MAA Press)
    notes: "MAA Problem Books, vol. 37"