Pith Number

pith:PAHCUCRS

pith:2026:PAHCUCRSJZQ2WTS7XI7XRMQGTE

not attested not anchored not stored refs pending

Decompose, Structure, and Repair: A Neuro-Symbolic Framework for Autoformalization via Operator Trees

Tao Luo, Xiaoyang Liu, Yantao Li, Yifan Bai, Yuntian Liu, Zineng Dong

A neuro-symbolic framework improves autoformalization by mapping statements to operator trees for targeted error repair.

arxiv:2604.19000 v2 · 2026-04-21 · cs.LG · cs.AI

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\usepackage{pith}
\pithnumber{PAHCUCRSJZQ2WTS7XI7XRMQGTE}

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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

DSR establishes a new state-of-the-art, consistently outperforming baselines under equivalent computational budgets.

C2weakest assumption

That mapping natural-language statements to structured operator trees enables precise localization and repair of errors via sub-tree refinement, as stated in the abstract description of the framework.

C3one line summary

DSR restructures autoformalization as a decompose-structure-repair process using operator trees and achieves new state-of-the-art results on the introduced PRIME benchmark of 156 theorems.

Receipt and verification

First computed	2026-05-25T02:01:20.767917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780e2a0a324e61ab4e5fba3f78b206992146480e0a42a990e3c50d1710ee44db

Aliases

arxiv: 2604.19000 · arxiv_version: 2604.19000v2 · doi: 10.48550/arxiv.2604.19000 · pith_short_12: PAHCUCRSJZQ2 · pith_short_16: PAHCUCRSJZQ2WTS7 · pith_short_8: PAHCUCRS

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/PAHCUCRSJZQ2WTS7XI7XRMQGTE \
  | 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: 780e2a0a324e61ab4e5fba3f78b206992146480e0a42a990e3c50d1710ee44db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0771252b613443b591a4b0ea76ac9ee6d1dcc071b509ac1662029896a9322d93",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-21T02:36:55Z",
    "title_canon_sha256": "1bdc7a8ecc11b40c48a710c351f1747b7ca44d78cf188b8e815737495f427a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19000",
    "kind": "arxiv",
    "version": 2
  }
}