Arquimedes

io.github.richer-richard由 GitHub 账号 richer-richard 发布v1.1.0更新于 Nov 4, 2026

Search and sample 1,038,963 competition and benchmark math problems.

已验证STDIO仅桌面知识与记忆AI 与机器学习

概览

AI 生成的概览

只读 MCP 服务器,基于本地约 104 万道竞赛与基准数学题数据库,支持全文检索、按条件随机抽样和读取完整题目记录。

可以做什么
  • 汇总题库:按数据集、类别、竞赛和解答类型统计数量
  • 按关键词检索题目,可按类别、数据集、竞赛和 Mohs 难度过滤
  • 按过滤条件随机抽题,可用种子复现
  • 按 id 获取单题:LaTeX 题干、选项、答案、提示、解答与推理轨迹
适用场景
适合让助手调取真实的竞赛或奥数题目,用于出练习题、辅导讲解、探索数据集或构建评测材料,并按难度和主题筛选。
运行要求
以 stdio 本地进程运行,通过 uvx 从 PyPI 包 arquimedes-mcp 启动,需要 Python 与 uv。该包不含题目:需一次性下载约 1.3 GB 分片及约 0.8 GB 精简索引到用户数据目录。未声明账号、API 密钥或环境变量。
安装前请注意
首次下载超过 2 GB 数据,需要磁盘空间和网络。未构建 SQLite 索引时服务器只能扫描部分题库,统计与检索覆盖不完整。Mohs 难度是校准值而非实测难度,记录修正后计数可能变化。

安装

在 SourceWeft 中

  1. 打开 控制台中的 Arquimedes,将其添加到工作区。
  2. 为需要使用其工具的对话启用该服务。

Desktop only,通过 STDIO。 STDIO 服务会启动本地进程,因此需要 SourceWeft 桌面宿主。

其他 MCP 客户端

参照 仓库 中的启动说明。

README

[Arquimedes — Open Database of Competition & Olympiad Mathematics]

Arquimedes: Math Problem Database

[Listed on mcpservers.org] [Glama score] [CI] [Release] [Code license: MIT]

A structured, deduplicated database of competition and benchmark mathematics: 1,038,963 problems across 9 datasets, each with a normalized LaTeX statement, calibrated Mohs difficulty (1.0 to 10.0), answer metadata, and solutions in a uniform JSON schema (v2).

  • 1,038,963 problems with full statements and 99.98% domain categorization
  • 797,671 written solutions: proof-sketch (797,631), strategy (22), answer-only (18)
  • 277,002 model-reasoning traces (deepmath dataset, JSONL shards)
  • 1,219 diagram images (SVG and JPG), content-addressed by hash
  • Unified Mohs difficulty (1.0–10.0) populated across all 1,038,963 records
  • Fast CLI & MCP Server: installable via uv (arquimedes CLI and arquimedes-mcp server)
  • Decontaminated Train/Eval Splits: one-command export (972,458 decontaminated train / 10,533 canonical eval)
  • Interactive Web Explorer: minimalistic browser catalog in site/ ready for GitHub Pages

Datasets

datasetcontentsproblemsnotable fields
numinaNuminaMath problems, the largest dataset840,924origin tags per problem, Mohs difficulty 1.0–9.5
deepmathDeepMath problems with R1 reasoning traces92,334three model-reasoning traces per problem, difficulty rating 1–10
bigmathBig-Math-RL-Verified problems with verified answers77,527Llama-8B solve-rate difficulty note, hierarchical domain tags
mathMATH benchmark problems12,401difficulty levels 1 to 5, train/test split tags
corecurated competition problems (AMC program, IMO, HMMT, and more)10,645concept tags, course/source difficulty ratings, progressive hints, solve time
omnimathOmni-MATH olympiad problems2,640difficulty rating from 1 to 9.5, contest origin tags
olympiadbenchOlympiadBench olympiad problems1,389diagram images (JPG), answer-type tags
cemcCEMC multiple-choice contests (Gauss, Pascal, Cayley, Fermat)792five answer choices per problem, reference URLs
aopscompetition problems with community-written solutions311collection, year, and problem code per record

Category Distribution

categoryproblemsshare
algebra386,69937.22%
geometry243,23123.41%
arithmetic183,93017.70%
number-theory129,48212.46%
probability38,8093.74%
combinatorics35,4933.42%
logic-foundations19,9351.92%
problem-solving-techniques1,2250.12%
uncategorized1590.02%

Per-dataset category breakdowns and field notes: docs/datasets.md.

Competition Coverage

The source.collection field labels records that come from a named competition or benchmark:

  • AMC program (core): AHSME 1,810 · AMC 8 1,025 · AMC 10A 625 · AMC 10B 625 · AMC 10 50 · AMC 12A 625 · AMC 12B 625 · AMC 12 50 · AIME I 405 · AIME II 405 · AIME 255 · USAMO 153 · USA TST 45 · USA TSTST 48
  • IMO (core): 156
  • HMMT (core): February 2,606 · November 1,072 · Invitational 65
  • CEMC (cemc): Gauss (Grade 7) 174 · Gauss (Grade 8) 166 · Pascal (Grade 9) 134 · Cayley (Grade 10) 150 · Fermat (Grade 11) 168
  • AoPS (aops): IMO Shortlist 102 · USAJMO 91 · Canadian MO 83 · APMO 28 · Putnam 7
  • OlympiadBench (olympiadbench): 1,389
  • MATH (math): 12,401

Records in omnimath, deepmath, numina, and bigmath carry origin and domain labels in source.tags.

CLI & MCP Server (uv)

arquimedes ships a zero-dependency Python package with both a fast CLI (arquimedes) and a Model Context Protocol server (arquimedes-mcp) backed by SQLite + FTS5 (with automatic JSONL shard fallback when SQLite is absent).

Install from PyPI

The package name is arquimedes-mcp. It does not contain the problems. Download them once from the Hugging Face dataset (about 1.3 GB of shards, then a lean index of about 0.8 GB):

bash
uvx arquimedes-mcp fetch

That copy lives in the user data directory (~/Library/Application Support/arquimedes on macOS), so the next uvx run finds it.

json
{  "mcpServers": {    "arquimedes": {      "command": "uvx",      "args": ["arquimedes-mcp"]    }  }}
bash
uvx --from arquimedes-mcp arquimedes statsuvx --from arquimedes-mcp arquimedes search "Cauchy-Schwarz" --min-mohs 7.0 -n 5

From a checkout

bash
# Build the local 1.7 GB SQLite + FTS5 database (~50 seconds)uv run arquimedes build# or a 0.8 GB index that reads solutions from the shardsuv run arquimedes build --lean
# Show corpus summaryuv run arquimedes stats
# Sub-20ms full-text search across 1,038,963 problemsuv run arquimedes search "Cauchy-Schwarz" --min-mohs 7.0 -n 5
# Sample calibrated problems by competition, category, or Mohs difficultyuv run arquimedes sample --competition IMO --category geometry -n 3
# Inspect a full problem record with choices, answer, hints, and proofuv run arquimedes show prob.ahsme-1950-p10

MCP server from a checkout

Add to your mcp.json or claude_desktop_config.json when the shards are already in a checkout:

json
{  "mcpServers": {    "arquimedes": {      "command": "uv",      "args": ["--directory", "/path/to/arquimedes", "run", "arquimedes-mcp"]    }  }}

Exposed MCP tools (all read-only; arguments in docs/usage.md):

  • arquimedes_get_stats: dataset, category, competition, and solution counts
  • arquimedes_search_problems: full-text search with category, dataset, competition, and min_mohs/max_mohs filters
  • arquimedes_sample_problems: uniform random draw among problems matching the filters, repeatable with a seed
  • arquimedes_get_problem: full LaTeX statement, choices, answer, hints, solutions, and optional deepmath reasoning traces by id

Stability (1.x)

From 1.0.0 on, these interfaces only change in backward-compatible ways until a 2.0.0 release:

  • the v2 problem record schema in docs/schema.md: fields are not removed or renamed, and their types do not change
  • the MCP tool names, their arguments, and the shape of their results
  • the arquimedes CLI commands and flags, and their --json output
  • the SQLite tables and columns built by arquimedes build
  • the ArquimedesEngine methods get_stats, search, sample, and get_problem

New fields, tools, flags, and data fixes can arrive in minor and patch releases. Corrections to individual records (a wrong answer, a mislabeled category) are data fixes, not breaking changes. Counts and difficulty.mohs values can change as records are corrected; mohs is a calibration, not a measured difficulty. Changes are listed in CHANGELOG.md.

Decontaminated Train / Eval Splits

For LLM post-training and RLVR (Reinforcement Learning with Verifiable Rewards), tools/export_splits.py (or uv run arquimedes splits) produces a decontaminated training set and a canonical evaluation benchmark:

bash
uv run arquimedes splits --out-dir splits/
  • Evaluation split (splits/eval.jsonl.gz — 10,533 problems): math test split (4,974), omnimath (2,640), olympiadbench (1,389), core 2023+ contests (931), aops (311), and cemc 2023+ contests (288).
  • Decontaminated training split (splits/train.jsonl.gz — 972,458 problems): filters out 46,057 unverifiable records and strips 9,915 near-duplicate benchmark leaks detected via 5-gram token shingle overlap across numina, bigmath, core, math, deepmath, and cemc.

Quickstart (Python & SQLite)

Read a problem directly from a shard with the Python standard library:

python
import gzip, json
with gzip.open("problems/core/shard-00000.jsonl.gz", "rt", encoding="utf-8") as fh:    prob = json.loads(fh.readline())
print(prob["title"], "Mohs:", prob["difficulty"]["mohs"])print(prob["statement"])               # raw LaTeX with \( \) delimitersprint(prob["answer"])                  # {'letter': 'd', 'value': '3+\\sqrt6'}print(prob["solutions"][0]["text"][:200])

Query SQLite + FTS5 directly:

sql
SELECT p.id, p.title, p.difficulty_mohs, p.answer_valueFROM problems_fts fJOIN problems p ON p.rowid = f.rowidWHERE problems_fts MATCH '"pigeonhole"'  AND p.difficulty_mohs BETWEEN 5.0 AND 8.5LIMIT 10;

Layout

problems/<dataset>/shard-*.jsonl.gz   gzipped JSON Lines, one v2 problem record per lineimages/<hash>.svg, images/<hash>.jpg  1,219 content-addressed diagram filesdata/index.json                       summary index (counts by dataset, category, competition)data/problems.sqlite                  queryable SQLite + FTS5 database (build locally)arquimedes/                           uv-installable CLI and MCP server packagesite/                                 minimalistic interactive web explorer (GitHub Pages)tools/                                converters, shard normalizer, split exporter, DB builderdocs/                                 schema, usage, and dataset documentation

Documentation

  • docs/schema.md: full v2 record reference, shard format, SQLite + FTS5 schema, LaTeX convention, image store
  • docs/usage.md: CLI, MCP server, SQL & FTS5 queries, reasoning traces, decontaminated splits
  • docs/datasets.md: per-dataset contents, field notes, category distributions, deduplication rules, and upstream licenses

License

Code in arquimedes/, tools/, and site/ is MIT. The Mohs calibration, the category labels assigned by this project, and data/index.json are CC BY 4.0. Problem statements, solutions, answers, and diagrams are not relicensed; the upstream terms are in docs/datasets.md. A Hugging Face copy keeps every record and stamps the holder's notice on it: richard01172000/arquimedes. See LICENSE.

来源:README.md,提交 d142f84

工具

4

arquimedes_get_stats

Database Statistics

Summarize what the Arquimedes math problem database holds: the problems this server can search (it is running without its SQLite index, so that is only part of the full corpus), with problem counts by dataset, category, and competition, and written-solution counts by kind. Call it first to learn which category, dataset, and competition values exist before filtering arquimedes_search_problems or arquimedes_sample_problems. Takes no arguments.

无需输入参数。

arquimedes_search_problems

Search Math Problems

Find problems by keyword in the competition and olympiad math problems this server can scan (it is running without its SQLite index; call arquimedes_get_stats for exact coverage). Full-text search returns problems whose statement or title contains all the query words: a topic, a theorem name such as 'Cauchy-Schwarz', or a LaTeX fragment. Optional filters narrow by category, dataset, competition, and Mohs difficulty (1.0 to 10.0). Results are summaries (id, title, competition, year, difficulty, answer, statement) without solutions; pass an id to arquimedes_get_problem for solutions and hints. To get random problems instead of keyword matches, use arquimedes_sample_problems.

输入参数limitquery必填datasetcategorymax_mohsmin_mohscompetition

arquimedes_sample_problems

Sample Math Problems

Draw random problems from the competition and olympiad math problems this server can scan (it is running without its SQLite index; call arquimedes_get_stats for exact coverage), uniformly among those matching optional filters: category, dataset, competition, contest year, Mohs difficulty range (1.0 to 10.0), multiple-choice only, or with a diagram. Use it to build practice sets, mock contests, or evaluation samples; pass the same seed to repeat a draw. Results are summaries without solutions; pass an id to arquimedes_get_problem for solutions. To find problems about a specific topic or keyword, use arquimedes_search_problems.

输入参数seedyearlimitdatasetcategorymax_mohsmin_mohscompetitionhas_choiceshas_diagram

arquimedes_get_problem

Get Math Problem by ID

Fetch one problem by its id, as returned by arquimedes_search_problems or arquimedes_sample_problems (e.g. 'prob.ahsme-1950-p10', 'prob.numina-000369'). Returns the full record: LaTeX statement, answer choices, answer, written solutions with progressive hints, difficulty, source, and diagram references. Ids cannot be guessed; an unknown id returns an error, so discover ids with search or sample first.

输入参数problem_id必填include_tracesinclude_solutions

版本历史

1
  1. v1.1.0最新Oct 21, 2026

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