README.md

---
license: apache-2.0
task_categories:
  - text-generation
language:
  - en
tags:
  - on-policy-distillation
  - cross-tokenizer
  - knowledge-distillation
  - mathematics
  - code
size_categories:
  - 10K<n<100K
configs:
  - config_name: default
    data_files: mix-20k.jsonl
---

# BPM Training Prompts (mix-20k)

[arXiv:2607.22334](https://arxiv.org/abs/2607.22334) · [Project page](https://bpm-opd.github.io/)

Prompt corpus behind every reported result in **BPM** (Byte-Prefix Marginalization), a
cross-tokenizer on-policy distillation method. Prompt-only.

| Domain | Rows | Source | Upstream license |
|---|---|---|---|
| Mathematics | 10,000 | `dapo-17k` | Apache-2.0 |
| Code | 10,000 | `taco:*` | Apache-2.0 |

## Fields

| Field | Type | Notes |
|---|---|---|
| `prompt` | list of `{role, content}` | Chat-format user turn |
| `label` | string | Reference answer for mathematics; empty for code |
| `domain` | string | `math` or `code` |
| `source` | string | e.g. `dapo-17k`, `taco:codeforces` |
| `metadata` | dict | `rm_type` (`dapo` / `code_sandbox`); code rows carry `tests` |
| `difficulty` | string | Code rows: `EASY` / `MEDIUM` / `HARD` |
| `idx`, `has_starter` | int, bool | Function-signature code rows |

```python
from datasets import load_dataset
ds = load_dataset("K1zE/BPM", split="train")
```

Redistributed for research reproduction; items remain subject to their original sources' terms.

## Citation

```bibtex
@misc{wang2026bpm,
  title={Cross-Tokenizer On-Policy Distillation via Byte-Prefix Marginalization},
  author={Hao Wang and Kun Yuan and Wenlin Zhong and Minglei Zhang and Han Xiao and Ming Sun and Honggang Qi},
  year={2026},
  archivePrefix={arXiv},
  primaryClass={cs.LG},
  eprint={2607.22334},
}
```