Pith Number

pith:C3PESRJW

pith:2026:C3PESRJWRYEXAJRFGFCMI7J347

not attested not anchored not stored refs pending

GraphPO: Graph-based Policy Optimization for Reasoning Models

Dandan Zheng, Ge Wu, Hao Sun, Jian Li, Jingdong Chen, Jun Zhou, Weilong Chai, Wenyue Tang, Xinyu Tang, Yuliang Zhan

arxiv:2606.18954 v1 · 2026-06-17 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3PESRJWRYEXAJRFGFCMI7J347}

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	2026-06-19T16:11:52.820136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16de4945368e097026253144c47d3be7c73e1cae40dc2056dade0df39c3dcde1

Aliases

arxiv: 2606.18954 · arxiv_version: 2606.18954v1 · doi: 10.48550/arxiv.2606.18954 · pith_short_12: C3PESRJWRYEX · pith_short_16: C3PESRJWRYEXAJRF · pith_short_8: C3PESRJW

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/C3PESRJWRYEXAJRFGFCMI7J347 \
  | 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: 16de4945368e097026253144c47d3be7c73e1cae40dc2056dade0df39c3dcde1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10c49be758fc2422c2ad45fda36b97dbbebc76bcf73ce619ec0847b1504903b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-17T11:37:54Z",
    "title_canon_sha256": "e18f13c7ae7d5438203c8f27661b83f64f23302f0a0ff7b6393fe03e45430c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18954",
    "kind": "arxiv",
    "version": 1
  }
}