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PDFToMD/.codex/skills/formula-quality/SKILL.md
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---
name: formula-quality
description: Plan and review formula extraction quality for PDFtoMD. Use when Codex needs Nougat handoff rules, inline/block formula classification, LaTeX delimiter checks, equation numbering, reference anchors, or Marker fallback behavior.
---
# Formula Quality
## Workflow
1. Read `AGENTS.md`, `docs/CONVERSION_POLICY.md`, `docs/TOOLCHAIN.md`, and `docs/ADR.md`.
2. Identify formula candidates from Marker equation blocks or mathematical text patterns.
3. Classify formulas as inline or block based on layout context.
4. Validate:
- `$ ... $` and `$$ ... $$` balance
- `\begin{...}` / `\end{...}` pairs
- formula numbering
- body references such as `Eq. (3)` or Korean equation references
5. Use Marker source text as fallback when Nougat fails.
## Guardrails
- Do not pass whole documents through Nougat as the primary parser.
- Do not discard formula text on parse failure.
- Do not rewrite references as links unless the target confidence is sufficient.