ArXiv-Math

Overview

ArXiv-Math is a benchmark of 103 research-level mathematics problems extracted from arXiv preprints. These problems represent cutting-edge mathematical research and test the ability of language models to reason about advanced mathematical concepts at the frontier of knowledge.

Task Description

Task Type: Research-Level Mathematics Problem Solving
Input: Advanced mathematical problem from arXiv papers
Output: Step-by-step solution with final answer
Difficulty: Research / graduate level

Key Features

103 problems sourced from arXiv preprints (December 2024 - March 2025)
Four monthly subsets: december, february, january, march
Covers diverse areas: algebra, combinatorics, analysis, geometry, number theory
Problems require deep mathematical reasoning and domain expertise
Represents the frontier of mathematical research difficulty

Evaluation Notes

Default configuration uses 0-shot evaluation
Answers should be formatted within \boxed{} for proper extraction
Numeric accuracy metric with symbolic equivalence checking
Results can be broken down by monthly competition subset

Properties

Property	Value
Benchmark Name	`arxivmath`
Dataset ID	evalscope/arxivmath
Paper	N/A
Tags	`Math`, `Reasoning`
Metrics	`acc`
Default Shots	0-shot
Evaluation Split	`train`

Data Statistics

Metric	Value
Total Samples	103
Prompt Length (Mean)	622.88 chars
Prompt Length (Min/Max)	224 / 1392 chars

Per-Subset Statistics:

Subset	Samples	Prompt Mean	Prompt Min	Prompt Max
`arxiv/december`	17	720.88	256	1392
`arxiv/february`	32	573.78	269	1147
`arxiv/january`	23	711.17	325	1270
`arxiv/march`	31	554.32	224	1213

Sample Example

Subset: arxiv/december

{
  "input": [
    {
      "id": "c7cbf85d",
      "content": "Problem:\nLet $k$ be a field, let $V$ be a $k$-vector space of dimension $d$, and let $G\\subseteq GL(V)$ be a finite group. Set $r:=\\dim_k (V^*)^G$ and assume $r\\ge 1$. Let $R:=k[V]^G$ be the invariant ring, and write its Hilbert quasi-polynom ... [TRUNCATED 71 chars] ... {d-2}+\\cdots+a_1(n)n+a_0(n),\n\\]\nwhere each $a_i(n)$ is a periodic function of $n$. Compute the sum of the indices $i\\in\\{0,1,\\dots,d-1\\}$ for which $a_i(n)$ is constant.\n\nPlease reason step by step, and put your final answer within \\boxed{}.\n"
    }
  ],
  "target": "\\frac{r(2d-r-1)}{2}",
  "id": 0,
  "group_id": 0,
  "subset_key": "arxiv/december",
  "metadata": {
    "problem_idx": 1,
    "problem_type": [
      ""
    ],
    "source": 2512.00811
  }
}

Prompt Template

Prompt Template:

Problem:
{question}

Please reason step by step, and put your final answer within \boxed{{}}.

Usage

Using CLI

evalscope eval \
    --model YOUR_MODEL \
    --api-url OPENAI_API_COMPAT_URL \
    --api-key EMPTY_TOKEN \
    --datasets arxivmath \
    --limit 10  # Remove this line for formal evaluation

Using Python

from evalscope import run_task
from evalscope.config import TaskConfig

task_cfg = TaskConfig(
    model='YOUR_MODEL',
    api_url='OPENAI_API_COMPAT_URL',
    api_key='EMPTY_TOKEN',
    datasets=['arxivmath'],
    dataset_args={
        'arxivmath': {
            # subset_list: ['arxiv/december', 'arxiv/february', 'arxiv/january']  # optional, evaluate specific subsets
        }
    },
    limit=10,  # Remove this line for formal evaluation
)

run_task(task_cfg=task_cfg)

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