Pith Number

pith:NO5XSNU7

pith:2026:NO5XSNU75T4BB3AG3BBK7CPBZY

not attested not anchored not stored refs pending

GenPO++: Generative Policy Optimization with Jacobian-free Likelihood Ratios

Jingya Wang, Ke Hu, Panxin Tao, Shutong Ding, Ye Shi

arxiv:2606.06967 v1 · 2026-06-05 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NO5XSNU75T4BB3AG3BBK7CPBZY}

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	2026-06-08T01:04:38.634399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bbb79369fecf810ec06d842af89e1ce3285dee525912e813654945be020d6ad

Aliases

arxiv: 2606.06967 · arxiv_version: 2606.06967v1 · doi: 10.48550/arxiv.2606.06967 · pith_short_12: NO5XSNU75T4B · pith_short_16: NO5XSNU75T4BB3AG · pith_short_8: NO5XSNU7

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/NO5XSNU75T4BB3AG3BBK7CPBZY \
  | 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: 6bbb79369fecf810ec06d842af89e1ce3285dee525912e813654945be020d6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8e37b33dd6d5891126c82f0c786994e06a0becdac70f443fdb2c046a49795f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-05T06:54:09Z",
    "title_canon_sha256": "6a9d18b79c0da769f1183fec384d9f584f4fd25d91d7f40d57f21ba7830fc897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06967",
    "kind": "arxiv",
    "version": 1
  }
}