Pith Number

pith:CTG6T5OA

pith:2025:CTG6T5OASHEXACNMX2OOZ4OSCP

not attested not anchored not stored refs pending

Group Causal Policy Optimization for Post-Training Large Language Models

Changwen Zheng, Chuxiong Sun, Jingyao Wang, Ran Zuo, Wenwen Qiang, Zeen Song, Ziyin Gu

arxiv:2508.05428 v1 · 2025-08-07 · cs.LG

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\usepackage{pith}
\pithnumber{CTG6T5OASHEXACNMX2OOZ4OSCP}

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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

1 paper in Pith

Towards Generalizable Reasoning: Group Causal Counterfactual Policy Optimization for LLM Reasoning

Receipt and verification

First computed	2026-07-05T11:50:13.072621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14cde9f5c091c97009acbe9cecf1d213e88864f030b38ddfb3266f56f6d65e22

Aliases

arxiv: 2508.05428 · arxiv_version: 2508.05428v1 · doi: 10.48550/arxiv.2508.05428 · pith_short_12: CTG6T5OASHEX · pith_short_16: CTG6T5OASHEXACNM · pith_short_8: CTG6T5OA

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/CTG6T5OASHEXACNMX2OOZ4OSCP \
  | 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: 14cde9f5c091c97009acbe9cecf1d213e88864f030b38ddfb3266f56f6d65e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236f4be7bb83e0d1cabe547ec3f0538772459878232bc36a0d0a039621aac234",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-07T14:17:28Z",
    "title_canon_sha256": "8898f84c615346bc46708d74dad63ee492f25150d92e544c4502d63d613ce1e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05428",
    "kind": "arxiv",
    "version": 1
  }
}