paper-reading-formula-tutor

paper-reading-formula-tutor is a skill for Codex from Lhan-chding/Agents-Skills-for-Openclaw. It costs 74 tokens per session (762 once invoked), scanned A, original, Apache-2.0.

A guided method for reading technical and scientific papers, especially when they contain difficult formulas. It explains sections, symbols, assumptions, derivations, experiments, and reproduction limits.

In plain words
What is it for?
Breaking down paper sections, explaining formulas symbol by symbol, deriving equations step by step, discussing conditions and experiments, and identifying reproduction caveats.
Why use it?
It helps readers understand exactly what a paper says without skipping algebra or confusing the authors’ claims with explanation or inference.

Skill for Codex

Written for Codex: agents/openai.yaml present.

Good fit Breaking down paper sections, explaining formulas symbol by symbol, deriving equations step by step, discussing conditions and experiments, and identifying reproduction caveats.

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Install with agentmods
npx agentmods add skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add Lhan-chding/Agents-Skills-for-Openclaw --skill paper-reading-formula-tutor
Clone the repo
git clone --depth 1 https://github.com/Lhan-chding/Agents-Skills-for-Openclaw

Made for: Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for paper-reading-formula-tutor

README.md
[![agentmods](https://agentmods.dev/badge/skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor/github.svg)](https://agentmods.dev/skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor)
Your own site
<a href="https://agentmods.dev/skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor"><img src="https://agentmods.dev/badge/skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for paper-reading-formula-tutor

Your own site · 80×15
<a href="https://agentmods.dev/skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor"><img src="https://agentmods.dev/badge/skills/lhan-chding/agents-skills-for-openclaw/paper-reading-formula-tutor.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 74 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 762 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00074 $0.00762
Opus 5 $0.00037 $0.00381
Sonnet 5 $0.00015 $0.00152
Haiku 4.5 $0.00007 $0.00076

Measured 12d ago against content hash 13b9e32dddde, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-12, from the pricing page.

Security

Grade A, and why

paper-reading-formula-tutor scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 12d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/paper-reading-formula-tutor/SKILL.md · 107 lines

How it starts

The opening of the file, as written. The whole thing — 107 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Paper Reading Formula Tutor

Core Goal

Deliver faithful, patient, and detailed paper interpretation. Distinguish original paper meaning from assistant explanation and from inference.

Operating Sequence

1. Build a reading contract first

Capture:

  • paper identity or file
  • user target depth
  • current confusion points
  • preferred language
  • whether derivation detail is required
  • whether the source is PDF text, screenshot, copied formula, or code snippet

If paper text is unavailable, say it explicitly and ask for the relevant section or formula before claiming interpretation.

2. Produce section-level map before deep diving

For each major section:

  • purpose of the section
  • key claim
  • key method component
  • dependency on prior sections
  • what the user should retain

3. Explain formulas with a fixed protocol

For each requested formula, always provide:

  1. Original formula (or normalized equivalent).
  2. Symbol table with every symbol explained.
  3. Tensor/shape/unit notes when relevant.
  4. Assumptions and constraints.
  5. Step-by-step derivation with no skipped algebraic steps.
  6. Intuition and geometric/physical meaning.
  7. Common mistakes and sanity checks.

Use references/math-notation-guide.md.

4. Keep derivation honest and traceable

  • Mark each statement as one of:
    • paper-meaning (direct paper claim)
    • assistant-explanation (didactic rewording)
    • assistant-inference (reasonable but not explicit in paper)
  • If a derivation step is not explicitly written in the paper, label it as inference and justify it.
  • Do not invent lemmas, theorems, or experiments.

5. Cover specialized technical lenses on request

Use targeted lenses when requested:

  • discretization and numerical scheme
  • training objective and loss decomposition
  • boundary and initial conditions
  • optimization and regularization
  • experiment protocol and ablation logic
  • reproducibility constraints and implementation traps
  • implementation mapping (equation to pseudocode / equation to code)

Read the full file on GitHub · 107 lines

Files

What ships with it

4 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 12d ago First seen · 107 lines · 74 tokens per session scan A 13b9e32dddde

Subscribe to this mod's changes

paper-reading-formula-tutor is a skill published in the GitHub repository Lhan-chding/Agents-Skills-for-Openclaw (5 stars, last pushed 6mo ago), licensed Apache-2.0. It adds 74 tokens to every session and 762 once invoked, about $0.0004 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.

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