Pith Number

pith:ASQSBGW2

pith:2026:ASQSBGW2TJNHKVXQJQRRMQ6LVY

not attested not anchored not stored refs pending

Group Entropy-Controlled Policy Optimization

Chengqi Lyu, Guangran Cheng, Kai Chen, Songyang Gao, Wenwei Zhang

arxiv:2607.16850 v1 · 2026-07-18 · 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{ASQSBGW2TJNHKVXQJQRRMQ6LVY}

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	2026-07-21T01:21:02.179004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a1209ada9a5a7556f04c231643cbae3b6ddef59679fae79dd39ce25a6f675a

Aliases

arxiv: 2607.16850 · arxiv_version: 2607.16850v1 · doi: 10.48550/arxiv.2607.16850 · pith_short_12: ASQSBGW2TJNH · pith_short_16: ASQSBGW2TJNHKVXQ · pith_short_8: ASQSBGW2

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/ASQSBGW2TJNHKVXQJQRRMQ6LVY \
  | 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: 04a1209ada9a5a7556f04c231643cbae3b6ddef59679fae79dd39ce25a6f675a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e0b23eba8b75456999f0f8ffc3864710bb85299b7de49e6f054e8f728eff23",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-18T15:13:33Z",
    "title_canon_sha256": "013343d05a7bdc4e2786de0552375c289ef68b9259179e85b827cdf95b61797e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16850",
    "kind": "arxiv",
    "version": 1
  }
}