Pith Number

pith:BYP3EDXS

pith:2026:BYP3EDXS64SMWB6ENJ7UJJ2HWR

not attested not anchored not stored refs pending

Grounding Multi-Hop Reasoning in Structural Causal Models via Group Relative Policy Optimization

Askar Hamdulla, Baohua Zhang, Chunxiao Gao, Guotong Geng, Huaping Zhang, Juan Wang, Qiuchi Li, Quan Zhang, Shuai Lei, Yunbo Cao, Yunhan Bu, Zhunchen Luo

Grounding multi-hop fact verification in a structural causal model and optimizing it with group relative policy optimization yields more accurate and less hallucinated reasoning than standard chain-of-thought methods.

arxiv:2605.01482 v3 · 2026-05-02 · cs.AI

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\usepackage{pith}
\pithnumber{BYP3EDXS64SMWB6ENJ7UJJ2HWR}

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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.

Claims

C1strongest claim

Extensive experiments on HoVer and EX-FEVER demonstrate that our SCM-GRPO framework significantly outperforms state-of-the-art baselines, offering a reliable and interpretable solution for complex fact verification.

C2weakest assumption

That explicitly modeling verification as a constructive causal inference process inside a structural causal model will produce more accurate and less hallucinated reasoning chains than standard chain-of-thought methods without introducing new modeling errors.

C3one line summary

SCM-GRPO grounds multi-hop fact verification in structural causal models and applies GRPO reinforcement learning to optimize reasoning chain length, outperforming baselines on HoVer and EX-FEVER.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-24T01:14:28.376907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e1fb20ef2f724cb07c46a7f44a747b467c87bb76afa580c953c19e8ef98f707

Aliases

arxiv: 2605.01482 · arxiv_version: 2605.01482v3 · doi: 10.48550/arxiv.2605.01482 · pith_short_12: BYP3EDXS64SM · pith_short_16: BYP3EDXS64SMWB6E · pith_short_8: BYP3EDXS

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/BYP3EDXS64SMWB6ENJ7UJJ2HWR \
  | 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: 0e1fb20ef2f724cb07c46a7f44a747b467c87bb76afa580c953c19e8ef98f707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a6525bd4ceedf8bbd193e91497d6ede74be7fd164567922e83a8be1297b8d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-02T15:05:38Z",
    "title_canon_sha256": "71e14239f79f5c4f86636cb7a3888b965dfeb42fa3ba80670f22295bdb5a1e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.01482",
    "kind": "arxiv",
    "version": 3
  }
}