Author

Jihao Liu

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Jul 2026

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory

Danus, an orchestration system for research-level mathematical reasoning centered on a shared fact graph as a global memory-management mechanism, is proposed, suggesting that fact-graph-based orchestration provides an effective route toward scaling mathematical reasoning agents for long-horizon research problems.

Jihao Liu, Guoxiong Gao, Zeming Sun et al. · arXiv.org · 15 citations · ⚡1

Preprint Aug 2026

The equality case of Ehrhart's volume conjecture

We prove that every full-dimensional compact convex body in $\mathbb R^n$ whose barycenter is its unique interior lattice point and whose volume is $(n+1)^n/n!$ is a unimodular image of the simplex $(n+1)\Delta_n-(1,\dots,1)$. This resolves the equality case of Ehrhart's volume conjecture, as a counterpart of the inequ...

Jihao Liu · 1 citation