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Paper · arXiv

Semantic Search over 9 Million Mathematical Theorems

Searching for mathematical results remains difficult: most existing tools retrieve entire papers, while mathematicians and theorem-proving agents often seek a specific theorem, lemma, or proposition that answers a query. While semantic search has seen rapid progress, its behavior on large, highly technical corpora such as research-level mathematical theorems remains poorly understood. In this work, we introduce and study semantic theorem retrieval at scale over a unified corpus of $9.2$ million theorem statements extracted from arXiv and seven other sources, representing the largest publicly available corpus of human-authored, research-level theorems. We represent each theorem with a shor...

AuthorsLuke Alexander, Eric Leonen, Sophie Szeto et al.
Primary categorycs.IR
Published5 February 2026
Last updated at source7 March 2026
cs.IRcs.AImath.HO
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