---
license: cc-by-4.0
language:
- en
tags:
- math
- reasoning
- sft
- distillation
size_categories:
- 100K<n<1M
---

# OpenMathReasoning_Subset_8k

The cap-8192 sibling of [bevangelista/OpenMathReasoning_Subset](https://huggingface.co/datasets/bevangelista/OpenMathReasoning_Subset)
(which caps at 4096). Same source, same filters, same one-shortest-trace-per-problem selection —
**only the token cap differs** — so the two datasets form a controlled length-prior axis for
compute-matched SFT ablations on gemma-3-4b. This dataset is a strict superset of the 4k subset:
its first 158,638-row file contains every 4k row byte-identically, plus 87,034 problems whose
shortest trace lands in 4096–8192 tokens (522.9M tokens of long traces).

## Attribution

Derived from **nvidia/OpenMathReasoning**, licensed **CC-BY-4.0** © NVIDIA Corporation.
Redistributed under CC-BY-4.0 with attribution, as its terms require.

## What was done

From all 144 `cot` parquet files, keep rows where: teacher `generation_model == DeepSeek-R1`;
`inference_mode ∈ (null, cot)`; a parseable, non-prose answer (no newline, ≤120 chars); a real
chain-of-thought; `n_tokens ≥ 256`; and difficulty gate `pass_rate_72b_tir ≤ 0.95` (null pass_rate
KEPT). Deduped to **one shortest trace per unique problem** (`blake2b(problem)`), then capped at
`n_tokens ≤ 8192`. `text` is the fully formatted gemma-3 training string; `n_tokens` is its length
under the gemma-3-4b tokenizer. "Shortest" is shortest-by-characters (selection runs before
tokenization), matching the 4k subset exactly.

## Columns

| column | type | meaning |
|---|---|---|
| `text` | string | formatted training example (gemma-3 chat template, `<think>…</think>` + answer) |
| `n_tokens` | int32 | token length of `text` under gemma-3-4b tokenizer |
| `pass_rate` | float32 | 72B pass rate (higher = easier); **null** when the source had none |
| `band` | string | always `core` here (≤8192 tokens) |

## Stats

158,638 problems · 714.5M tokens · mean 4,504 / median 4,406 tokens ·
mean pass_rate 0.527 (present on 52% of rows).