Pith Number

pith:4BN74IVU

pith:2025:4BN74IVUJEJEVGJBNSVAFC5WAD

not attested not anchored not stored refs pending

To Code or not to Code? Adaptive Tool Integration for Math Language Models via Expectation-Maximization

Chao Qu, Fangzhen Lin, Fengming Zhu, Haozhe Wang, Long Li, Wei Chu, Weidi Xu

arxiv:2502.00691 v4 · 2025-02-02 · cs.AI · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BN74IVUJEJEVGJBNSVAFC5WAD}

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

Bad Seeing or Bad Thinking? Rewarding Perception for Multimodal Reasoning

Receipt and verification

First computed	2026-07-05T11:39:07.224526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e05bfe22b449124a99216caa028bb600d69cf5fa6066c5dddc460183560e8fa9

Aliases

arxiv: 2502.00691 · arxiv_version: 2502.00691v4 · doi: 10.48550/arxiv.2502.00691 · pith_short_12: 4BN74IVUJEJE · pith_short_16: 4BN74IVUJEJEVGJB · pith_short_8: 4BN74IVU

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/4BN74IVUJEJEVGJBNSVAFC5WAD \
  | 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: e05bfe22b449124a99216caa028bb600d69cf5fa6066c5dddc460183560e8fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95dc71a6173a52849eb0d9b3ff67f919b5e5c3c2974930872d0964bac3fabbcc",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-02-02T06:32:23Z",
    "title_canon_sha256": "a746923a08fbb0d4040678fbe32cc7d76c2d391b6d54ea94acf9033fb2e53d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00691",
    "kind": "arxiv",
    "version": 4
  }
}