Pith Number

pith:YV6MKVRV

pith:2026:YV6MKVRVBWFMD4JLZCTBAHTKGG

not attested not anchored not stored refs pending

Teach-to-Reason: Competition-Guided Reasoning with a Self-Improving Teacher

Hao Liu, Hui Guo, Jile Jiao, Xiaofeng Mou, Xiao Han, Yi Xu, Yue Wang, Zhimin Bao

arxiv:2606.25407 v1 · 2026-06-24 · cs.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YV6MKVRVBWFMD4JLZCTBAHTKGG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-25T01:18:04.551416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57cc556350d8ac1f12bc8a6101e6a31a08b820dc94cb8f5a0d1b457a24c181d

Aliases

arxiv: 2606.25407 · arxiv_version: 2606.25407v1 · doi: 10.48550/arxiv.2606.25407 · pith_short_12: YV6MKVRVBWFM · pith_short_16: YV6MKVRVBWFMD4JL · pith_short_8: YV6MKVRV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YV6MKVRVBWFMD4JLZCTBAHTKGG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c57cc556350d8ac1f12bc8a6101e6a31a08b820dc94cb8f5a0d1b457a24c181d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4300c1e888769b9f8fc90ff210150035bc32813ccf7018a496377782980d4bc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-06-24T05:07:41Z",
    "title_canon_sha256": "44354e955d2d78410514c77cbe890ab8f0083bb1e84f92d1472655b62a9eaf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25407",
    "kind": "arxiv",
    "version": 1
  }
}