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An Open Recipe for IMO Gold: Training Nemotron for Olympiad Mathematics

arxiv.org/abs/2609.10712

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Updated 2 h ago · first seen 11 Sept 2026

paper_01M294WYE1A9ZBCTMZPP6AFRR5

Published
9 Sept 2026
T2 · 2 h ago
arXiv
2609.10712
T2 · 2 h ago

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We study how model post-training and test-time inference design affect natural-language proof generation for hard olympiad mathematics. Starting from Nemotron 3 Ultra, we train two specialist checkpoints using supervised fine-tuning and reinforcement learning, and evaluate checkpoint choice, verification, and refinement. Based on these findings, we present an open-model test-time-compute pipeline. The system operates entirely in natural language, with no formal prover, external tools, or internet access. Three Nemotron 3 Ultra checkpoints - the general-availability model and two post-trained specialists - power an iterative search that generates, verifies, and refines candidate proofs; a separate high-compute stage then selects each final submission. The system scored 30 out of 42 points at IMO 2026, reaching the gold-medal threshold. We release the two post-trained checkpoints as well as the training data, the training and inference code, the submitted solutions, and Nemotron-IMO-Bench, a new benchmark of 200 novel olympiad-level problems.currentcurrentHugging Face Hub (public pages, model cards, papers)T2mediumdeterministic

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