Mathematical reasoning
Key facts. Mathematical reasoning: 759 papers on arXiv since 2020 (data through 7 Oct 2026). 142 of its 759 mapped papers (19%) cite “DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models” (2024, arXiv 2402.03300). 116 of its 759 mapped papers (15%) cite “Solving Quantitative Reasoning Problems with Language Models” (2022, arXiv 2206.14858). 17 new papers 17 Sep–7 Oct.
What’s new
17 Sep – 7 Oct 2026
17 new papers, 17 Sep – 7 Oct; 2 this week.
- This week · 2
- Which Language Should a Skeleton Speak? Language Choices in Multilingual Reasoning also fits: Reasoning benchmarks and evaluation
- Algorithmic Scratchpads and Curriculum Staging for Arithmetic Reasoning in Tiny Transformers
- Earlier · 15
- When Does Longer Reasoning Help? Predicting Mathematical Reasoning Through Discovery and Execution also fits: Test-time compute and efficient thinking
- Dense Neuro-Symbolic Reasoning in a Unified Geometry State also fits: Spatial and embodied reasoning
- The Missing Primitive: Diagnosing and Repairing Mathematical Reasoning in Large Language Models
- Reason in Style: Discovering and Controlling Style in Language Models also fits: Reasoning benchmarks and evaluation
- ANI: Adaptive Numerical Injection for Unifying Semantic and Arithmetic Representations in Numerical Reasoning
- Mathematical Transfer in LLMs Follows Reasoning Approach More Than Topic
- Correct Answers, Invalid Traces: What Verifiable Grade-School Math Reveals About Chain-of-Thought Traces also fits: Prompting and chain-of-thought reasoning
- Beyond Compression: Diagnosing How Post-Training Changes Mathematical Reasoning also fits: Test-time compute and efficient thinking
All 17
- Towards Eliminating Catastrophic Forgetting in the Curriculum Learning of Math Reasoning Tasks
- The Geometry of Logic: Stratification Induces Semantic Structure and Robust Reasoning also fits: Reasoning benchmarks and evaluation
- Diagnosing Sampled LLM Reasoning in Formal Geometry: Coverage, Realization, and Validity Evidence
- Solving Every Step Is Not Enough: Milestone Oracles Reveal a Composition Gap in LLM Math Reasoning
- Order-Invariant Answers, Order-Sensitive Representations in Mathematical Reasoning
- Math Reasoning in LLMs is Organized by Approach, Not Topic
- Euston: Training Away Mathematical Sycophancy Without Losing the Mathematics
Foundations
Most cited by papers here
- DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models2024cited by 142 here
- Solving Quantitative Reasoning Problems with Language Models2022cited by 116 here
- WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct2023cited by 99 here
- ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving2023cited by 68 here
- Llemma: An Open Language Model For Mathematics2023cited by 68 here
Lineage
The papers this direction builds on, oldest first.
Each paper on the line cites the one before.
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 281 here
- 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 172 here
- 2022STaR: Bootstrapping Reasoning With Reasoningcited by 52 here
- 2022Large Language Models are Zero-Shot Reasonerscited by 110 here
- 2022PAL: Program-aided Language Modelscited by 80 here
- 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 49 here
- 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Modelscited by 87 here
- 2023Scaling Relationship on Learning Mathematical Reasoning with Large Language Modelscited by 51 here
- 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 99 here
- 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solvingcited by 68 here
- 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 60 here
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 142 here
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 125 here
11 more it builds on, not in this chain
- 2017Proximal Policy Optimization Algorithmscited by 49 here
- 2022Least-to-Most Prompting Enables Complex Reasoning in Large Language Modelscited by 55 here
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 116 here
- 2022Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Taskscited by 106 here
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 61 here
- 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 69 here
- 2023Let's Verify Step by Stepcited by 137 here
- 2023Llemma: An Open Language Model For Mathematicscited by 68 here
- 2024Large Language Models for Mathematical Reasoning: Progresses and Challengescited by 47 here
- 2024GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Modelscited by 58 here
- 2025Qwen3 Technical Reportcited by 62 here
The 24 most cited of 1,441.
Browse
30 of 759, ranked 6–35
- 6GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models202458
- 7Scaling Relationship on Learning Mathematical Reasoning with Large Language Models202351
- 8Large Language Models for Mathematical Reasoning: Progresses and Challenges202447
- 9MathScale: Scaling Instruction Tuning for Mathematical Reasoning202442
- 10Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models202442
- 11Generative Language Modeling for Automated Theorem Proving202040
- 12MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning202337
- 13OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset202435
- 14DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition202533
- 15MathGenie: Generating Synthetic Data with Question Back-translation for Enhancing Mathematical Reasoning of LLMs202431
All 30
- 16GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solvers202431
- 17FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI202430
- 18InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning202429
- 19MathPrompter: Mathematical Reasoning using Large Language Models202329
- 20A Survey of Deep Learning for Mathematical Reasoning202229
- 21Common 7B Language Models Already Possess Strong Math Capabilities202427
- 22A Careful Examination of Large Language Model Performance on Grade School Arithmetic202427
- 23rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking202524
- 24Orca-Math: Unlocking the potential of SLMs in Grade School Math202424
- 25Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning202523
- 26Dynamic Prompt Learning via Policy Gradient for Semi-structured Mathematical Reasoning202223
- 27Solving Math Word Problems via Cooperative Reasoning induced Language Models202223
- 28Lila: A Unified Benchmark for Mathematical Reasoning202223
- 29LIMO: Less is More for Reasoning202522
- 30Don't Trust: Verify -- Grounding LLM Quantitative Reasoning with Autoformalization202421
- 31Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification202321
- 32NumGLUE: A Suite of Fundamental yet Challenging Mathematical Reasoning Tasks202221
- 33Language Models are Multilingual Chain-of-Thought Reasoners202221
- 34MARIO: MAth Reasoning with code Interpreter Output -- A Reproducible Pipeline202419
- 35Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMs202419