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---
license: mit
task_categories: [text-generation]
tags: [math, process-verification, ProcessBench, PRM800K, mathcompose]
---

# mathcompose — Model V (process verifier) SFT data

First-error-localization critiques for training a small generative math verifier.
Each row: a problem + a step-indexed candidate solution (`prompt`) and a
paragraph-by-paragraph critique ending in `\boxed{{k}}` (`completion`), where `k`
is the 0-based index of the first erroneous step (`-1` = all correct).

- **Labels** are ground truth from **PRM800K** (OpenAI, MIT).
- **Genuine-detection recipe:** **claude-opus-4-8** critiques each solution *blind*
  (never shown the answer); a critique is kept only if its predicted index matches
  the PRM800K gold (rejection sampling, ~77% keep-rate). So the critiques contain
  real error-finding reasoning, not rationalization.
- **Deduped** against ProcessBench + MATH-500 (no eval contamination).
- Naturally ~50/50 erroneous/all-correct (no rebalancing needed).

Built by the mathcompose harness. Eval target: ProcessBench first-error F1.