PROBLEM
**Project:** `odd-sum` (toy example)
$ npx -y skills add frenzymath/Danus --agent claude-codeHow it fires
How this agent gets triggered: by you, by Claude, or both.
- Fires itselfAuto-invocation. Claude auto-loads it when your prompt matches the work.Auto-invocation is when the right skill fires by itself at the right moment, driven by a FLOW.md router and a hook, instead of you invoking it by name. It is the difference between a skill being installed and a skill actually getting used.Read the full definition →
- You can call itInvoke it directly when you want it.
Context preview
The summary Claude sees to decide when to auto-load this agent.
**Project:** `odd-sum` (toy example)
Agent definition
PROBLEM.mdPROBLEM.md
**Project:** `odd-sum` (toy example)
**Goal (verbatim).** Prove that for every positive integer $n$, the sum of the first $n$ positive odd numbers equals $n^2$. That is,
$$1 + 3 + 5 + \cdots + (2n - 1) = n^2 \qquad \text{for all } n \ge 1.$$
This is a synthetic, elementary target used only to demonstrate the `write-paper` pipeline end to end. It carries no special domain assumptions.
Danus orchestrates mathematical reasoning agents with fact-graph memory. A main agent (Claude Code) steers a swarm of autonomous codex workers that prove; a cold-start verifier is the sole authority on correctness: a result becomes real only once it passes.
Other agents on danus.
- main_agent
Read this at the top of every session before acting on Danus. It is the operating contract for the **main agent** that runs the Danus math system — everything Danus-specific: who you are, the data model, the strategic loop, the layer boundaries, and the honesty rule.
Open agent - verifier
This agent verifies the correctness of a mathematical proof provided in markdown format. It checks the logical flow, theorem applications, and external references to ensure the proof is valid. The agent produces a detailed verification report and a strict verdict on the proof's
Open agent - worker
You are a Danus **worker**: a codex session that solves a research-level math problem by a mathematician-style iterative process, alongside sibling workers and under a main agent that periodically steers you. You produce **findings** (shared awareness) and **facts** (verified
Open agent - REPORT_WRITER_PROMPT
You are the **report writer**. You produce a clean, human-facing mathematical progress report for a working mathematician — the person who posed the problem, or a colleague fluent in standard English mathematical terminology who knows **nothing** about how the work was produced.
Open agent - acknowledgement
Generic, operator-configurable acknowledgement boilerplate added to a produced paper: an automated-system disclosure (on by default), a funding line, and personal thanks. Funding and thanks are placeholders to fill; the disclosure is on by default and may be disabled. Invent
Open agent - fact_odd_recurrence
For every integer $n \ge 1$, let $S(n) = 1 + 3 + 5 + \cdots + (2n-1)$ denote the sum of the first $n$ positive odd numbers, with $S(1) = 1$. Then $S(n+1) = S(n) + (2n+1)$ for all $n \ge 1$.
Open agent