Pith Number

pith:BNKJZS3C

pith:2026:BNKJZS3CFJ72WCF2IKS4XVYFIL

not attested not anchored not stored refs pending

GCPO: Diagnosing and Constraining Subspace Geometry in Rollout RL for LLMs

Jingwei Xu, Kai Yang, Kai-Yuan Guo, Wanyu Wang, Yi Wang, Yu Qiao, Zhenbo Yu

arxiv:2608.11674 v1 · 2026-08-12 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNKJZS3CFJ72WCF2IKS4XVYFIL}

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	2026-08-13T01:27:47.470984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b549ccb622a7fab08ba42a5cbd70542e6e0cb47b6ce3b048b7ab2255f1db2b3

Aliases

arxiv: 2608.11674 · arxiv_version: 2608.11674v1 · doi: 10.48550/arxiv.2608.11674 · pith_short_12: BNKJZS3CFJ72 · pith_short_16: BNKJZS3CFJ72WCF2 · pith_short_8: BNKJZS3C

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/BNKJZS3CFJ72WCF2IKS4XVYFIL \
  | 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: 0b549ccb622a7fab08ba42a5cbd70542e6e0cb47b6ce3b048b7ab2255f1db2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2205a1dd847b4eea07c792183e8a91f8fbdd078e67962dab115878de7b51b2c9",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-12T05:32:22Z",
    "title_canon_sha256": "07b85b54127eb93ab0554b194d67940ea18a91e4acd409cd8ed2c480f7f7867b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11674",
    "kind": "arxiv",
    "version": 1
  }
}