Pith Number

pith:B4NXQR4H

pith:2026:B4NXQR4HBBZATAUGSKFXBVUFVF

not attested not anchored not stored refs pending

ShapleyLaw: A Game-Theoretic Approach to Multilingual Scaling Laws

Chuan Xiao, Daisuke Kawahara, Jiayi Wang, Makoto Onizuka, Pontus Stenetorp, Qianying Liu, Sadao Kurohashi, Shuyuan Zheng, Xuyang Cao, Yusuke Oda

arxiv:2603.17945 v2 · 2026-03-18 · 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{B4NXQR4HBBZATAUGSKFXBVUFVF}

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.

Receipt and verification

First computed	2026-05-29T02:05:43.231221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f1b7847870872098286928b70d685a97007dfe567c6801c83cad4d612259e66

Aliases

arxiv: 2603.17945 · arxiv_version: 2603.17945v2 · doi: 10.48550/arxiv.2603.17945 · pith_short_12: B4NXQR4HBBZA · pith_short_16: B4NXQR4HBBZATAUG · pith_short_8: B4NXQR4H

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/B4NXQR4HBBZATAUGSKFXBVUFVF \
  | 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: 0f1b7847870872098286928b70d685a97007dfe567c6801c83cad4d612259e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e2b6dd1429ea5cc9994138ff91cc679baa6406e87e5d59627b59a088015cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-03-18T17:17:18Z",
    "title_canon_sha256": "d30dae904dc52908e1ca4bb19fb97bf096c733ae4d03abf74a52d4e62c4c04ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.17945",
    "kind": "arxiv",
    "version": 2
  }
}