Pith Number

pith:BZ4MMIKS

pith:2025:BZ4MMIKSNS3Y2QU4GFWSFGHP7B

not attested not anchored not stored refs pending

Critique-GRPO: Advancing LLM Reasoning with Natural Language and Numerical Feedback

Chaochao Lu, Chao Yang, Hao Sun, Helen Meng, Kaituo Feng, Xiaoying Zhang, Yipeng Zhang

arxiv:2506.03106 v7 · 2025-06-03 · cs.CL · 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{BZ4MMIKSNS3Y2QU4GFWSFGHP7B}

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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.

Cited by

17 papers in Pith

Gen-Searcher: Reinforcing Agentic Search for Image Generation

Reinforcing Human Behavior Simulation via Verbal Feedback

ReCrit: Transition-Aware Reinforcement Learning for Scientific Critic Reasoning

STRIDE: Learnable Stepwise Language Feedback for LLM Reasoning

PAIR: Prefix-Aware Internal Reward Model for Multi-Turn Agent Optimization

Receipt and verification

First computed	2026-06-09T01:05:06.911024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e78c621526cb78d429c316d2298eff85c02c39ba301d1aa7a41fa2e45ffc6d1

Aliases

arxiv: 2506.03106 · arxiv_version: 2506.03106v7 · doi: 10.48550/arxiv.2506.03106 · pith_short_12: BZ4MMIKSNS3Y · pith_short_16: BZ4MMIKSNS3Y2QU4 · pith_short_8: BZ4MMIKS

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/BZ4MMIKSNS3Y2QU4GFWSFGHP7B \
  | 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: 0e78c621526cb78d429c316d2298eff85c02c39ba301d1aa7a41fa2e45ffc6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad3cc14d6d5e64bf6199daf66dbcd63fc08045ff6f358bade462faea0fe7be6",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-06-03T17:39:02Z",
    "title_canon_sha256": "a12936790398c6ef3d7016d900302e7c33ec652e8d9db26f46a16269c988ee43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03106",
    "kind": "arxiv",
    "version": 7
  }
}