Danus Orchestrates AI Agents for Complex Math Proofs

Jihao Liu, Guoxiong Gao, Zeming Sun, Bin Wu, Shurui Liu, Jiedong Jiang, Haocheng Ju, Leheng Chen, Ronnie Cheng, Xiping Zhang, Bin Dong· July 8, 2026 View original

▶ The 2-minute explainer

Summary

Danus is an orchestration system that uses a shared fact graph memory to coordinate multiple LLM-based agents for solving research-level mathematical problems. It enables parallel proof search and maintains organized, reliable intermediate claims.

Researchers have introduced Danus, an orchestration system designed to scale and coordinate large language model (LLM)-based agents for tackling complex mathematical reasoning problems. The core of Danus is a shared fact graph that acts as a global memory, organizing intermediate claims and proofs. The system comprises a main agent for planning, multiple worker agents for parallel proof search, and a stateless verifier that validates claims before they are added to the fact graph. This architecture allows Danus to construct long, detailed mathematical proofs incrementally, maintaining an organized and reliable shared proof state. Evaluated across six research-level case studies in various mathematical fields, Danus demonstrates its effectiveness in scaling mathematical reasoning for long-horizon problems.

Why it matters

This system offers a blueprint for orchestrating multiple AI agents to solve highly complex, multi-step problems, which has implications beyond mathematics for any domain requiring structured, verifiable reasoning.

How to implement this in your domain

  1. 1Explore the concept of fact-graph memory for managing complex AI agent interactions.
  2. 2Consider applying similar orchestration patterns to multi-agent systems in other domains.
  3. 3Investigate the use of stateless verifiers to ensure reliability of AI-generated outputs.
  4. 4Pilot a small-scale multi-agent system using a shared memory structure for a specific problem.

Who benefits

Research & DevelopmentEducationSoftware DevelopmentAerospaceFinance

Key takeaways

  • Danus orchestrates LLM agents for complex mathematical reasoning.
  • It uses a shared fact graph for global memory and proof organization.
  • The system involves a main agent, worker agents, and a stateless verifier.
  • Danus enables incremental construction of long, detailed mathematical proofs.

Original post by Jihao Liu, Guoxiong Gao, Zeming Sun, Bin Wu, Shurui Liu, Jiedong Jiang, Haocheng Ju, Leheng Chen, Ronnie Cheng, Xiping Zhang, Bin Dong

"arXiv:2607.06447v1 Announce Type: new Abstract: Recent LLM-based mathematical reasoning agents have begun to tackle research-level problems and, in several cases, have contributed to the resolution of open problems. However, scaling and orchestrating such agents effectively remai…"

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Originally posted by Jihao Liu, Guoxiong Gao, Zeming Sun, Bin Wu, Shurui Liu, Jiedong Jiang, Haocheng Ju, Leheng Chen, Ronnie Cheng, Xiping Zhang, Bin Dong on X · view source

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