Pith Number

pith:IG2AACFU

pith:2025:IG2AACFUBPEXTHMKCPOALSF56Z

not attested not anchored not stored refs pending

One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs

Chao Qu, Hai-Tao Zheng, Haojing Huang, Jiayi Kuang, Philip S. Yu, Wenlian Lu, Xiaoyu Tan, Xinnian Liang, Yangning Li, Yinghui Li, Ying Shen, Yi Yu, Zhikun Xu

arxiv:2502.10454 v2 · 2025-02-12 · cs.LG · cs.AI · cs.CL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IG2AACFUBPEXTHMKCPOALSF56Z}

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.

Cited by

1 paper in Pith

DeFAb: A Verifiable Benchmark for Defeasible Abduction in Foundation Models

Receipt and verification

First computed	2026-07-05T11:57:34.559806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b40008b40bc9799d8a13dc05c8bdf65410709c12512ec0d5839a1546fefa49

Aliases

arxiv: 2502.10454 · arxiv_version: 2502.10454v2 · doi: 10.48550/arxiv.2502.10454 · pith_short_12: IG2AACFUBPEX · pith_short_16: IG2AACFUBPEXTHMK · pith_short_8: IG2AACFU

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/IG2AACFUBPEXTHMKCPOALSF56Z \
  | 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: 41b40008b40bc9799d8a13dc05c8bdf65410709c12512ec0d5839a1546fefa49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65af1c99d9b5e9f8ea481b13232e4d312d69edfe00346b9287a5415aca82e95c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-12T02:01:10Z",
    "title_canon_sha256": "52bc4c035679a0d845842b89488ee2ad82dd50b80bbf8cf3b201e2b2b08bf99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10454",
    "kind": "arxiv",
    "version": 2
  }
}