Pith Number

pith:U5GXUTDM

pith:2025:U5GXUTDM33C2YL3KFARH32XJFR

not attested not anchored not stored refs pending

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models

Baiqiao Wang, Fei Ding, youwei wang, Zijian Zeng

arxiv:2506.04746 v1 · 2025-06-05 · 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{U5GXUTDM33C2YL3KFARH32XJFR}

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	2026-07-05T11:16:19.668358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74d7a4c6cdec5ac2f6a28227deae92c545de5fdc76e38e01cb04edcba532430

Aliases

arxiv: 2506.04746 · arxiv_version: 2506.04746v1 · doi: 10.48550/arxiv.2506.04746 · pith_short_12: U5GXUTDM33C2 · pith_short_16: U5GXUTDM33C2YL3K · pith_short_8: U5GXUTDM

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/U5GXUTDM33C2YL3KFARH32XJFR \
  | 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: a74d7a4c6cdec5ac2f6a28227deae92c545de5fdc76e38e01cb04edcba532430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6e6620c1ff6e52cf1bb3893f133d4b8d2d3e0d70d67085602c21d7686b8f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-05T08:27:34Z",
    "title_canon_sha256": "5fd3876233f5714091a8125f44f4f690f1f84e9e0742f1857a75b9712f8d1148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04746",
    "kind": "arxiv",
    "version": 1
  }
}