Pith Number

pith:F537CTPT

pith:2025:F537CTPTMZWEKD5YPLKZE6AQDI

not attested not anchored not stored refs pending

Pre-trained Models Perform the Best When Token Distributions Follow Zipf's Law

Meng Jiang, Qingkai Zeng, Yanjin He

arxiv:2507.22543 v1 · 2025-07-30 · cs.LG · 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{F537CTPTMZWEKD5YPLKZE6AQDI}

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	2026-07-05T11:45:44.337653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f77f14df3666c450fb87ad59278101a1316296bfd57a2bce53327aa842d30e4

Aliases

arxiv: 2507.22543 · arxiv_version: 2507.22543v1 · doi: 10.48550/arxiv.2507.22543 · pith_short_12: F537CTPTMZWE · pith_short_16: F537CTPTMZWEKD5Y · pith_short_8: F537CTPT

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/F537CTPTMZWEKD5YPLKZE6AQDI \
  | 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: 2f77f14df3666c450fb87ad59278101a1316296bfd57a2bce53327aa842d30e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5727c554eeb324d94d79abc993c42ecf41bc448186baf6c2d37980ecdc9a1355",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-30T10:16:23Z",
    "title_canon_sha256": "51e44ff066de2f3b1ca1db1d5415e854909c29e1fef7fdc48d0cabe63f603c57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22543",
    "kind": "arxiv",
    "version": 1
  }
}