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+ ---
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+ license: cc-by-sa-4.0
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+ task_categories:
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+ - text-generation
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+ - question-answering
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+ language:
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+ - en
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+ tags:
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+ - mathematics
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+ - open-problems
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+ - theorem-proving
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+ - benchmark
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+ - ai-for-math
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+ size_categories:
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+ - n<1K
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+ ---
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+
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+ # OpenProblemAtlas: Open Problems Dataset
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+
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+ A structured, machine-readable dataset of **unsolved problems** in mathematics,
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+ theoretical computer science, and mathematical physics.
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+
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+ ## Why This Dataset?
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+
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+ Existing math benchmarks (MATH, GSM8K, MiniF2F) contain **solved** problems.
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+ This dataset contains **unsolved** problems -- the frontier of human knowledge.
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+
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+ Use it to:
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+ - Benchmark AI theorem proving systems on problems with **unknown** answers
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+ - Train models to understand the structure of open problems
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+ - Build tools for mathematical research navigation
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+
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+ ## Dataset Structure
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+
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+ Each problem includes:
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+ - `id`: Unique identifier (e.g., `opa.mathematics.number-theory.collatz-conjecture`)
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+ - `title`: Canonical title
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+ - `domain`: mathematics / theoretical-cs / mathematical-physics
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+ - `statement_canonical`: Formal problem statement
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+ - `statement_informal`: Accessible description
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+ - `status`: open / partially_solved / solved / disproved
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+ - `tier`: tier_1 (machine-ready) / tier_2 / tier_3
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+ - `verification_profile`: statement precision, solution checkability, machine actionability
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+ - `scores`: impact, underexplored, toolability, formality, ai_fit (0-1)
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+ - `full_yaml`: Complete problem metadata in YAML format
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+
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+ ## Quick Start
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+
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+ ```python
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+ from datasets import load_dataset
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+
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+ ds = load_dataset("OpenProblemAtlas/open-problems")
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+
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+ # Filter for machine-actionable problems
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+ tier1 = ds.filter(lambda x: x["tier"] == "tier_1")
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+
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+ # Find high-impact underexplored problems
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+ gems = ds.filter(lambda x: x["impact"] > 0.7 and x["underexplored"] > 0.5)
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+ ```
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+
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+ ## Also Available
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+
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+ - **PyPI**: `pip install openproblem-atlas`
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+ - **GitHub**: https://github.com/OpenProblemAtlas/open-problem-atlas
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+ - **Website**: https://openproblem-atlas.org
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+
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+ ## Citation
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+
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+ ```bibtex
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+ @misc{openproblem-atlas,
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+ title = {OpenProblemAtlas: A Living Atlas of Open Problems},
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+ year = {2026},
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+ url = {https://github.com/OpenProblemAtlas/open-problem-atlas}
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+ }
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+ ```