Pith Number

pith:65ZZDNAG

pith:2014:65ZZDNAG4ILY4CJIHROZQ5GZJD

not attested not anchored not stored refs pending

Singular linear statistics of the Laguerre Unitary Ensemble and Painlev\'e III (${\rm P_{III}}$): Double scaling analysis

Min Chen, Yang Chen

arxiv:1412.0102 v2 · 2014-11-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65ZZDNAG4ILY4CJIHROZQ5GZJD}

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	2026-05-18T02:19:16.450045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77391b406e2178e09283c5d9874d948ef38cfb915d85d737fa34902a5d559ea

Aliases

arxiv: 1412.0102 · arxiv_version: 1412.0102v2 · doi: 10.48550/arxiv.1412.0102 · pith_short_12: 65ZZDNAG4ILY · pith_short_16: 65ZZDNAG4ILY4CJI · pith_short_8: 65ZZDNAG

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/65ZZDNAG4ILY4CJIHROZQ5GZJD \
  | 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: f77391b406e2178e09283c5d9874d948ef38cfb915d85d737fa34902a5d559ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5a13975533f7f4ec1605cb5d93e7a6ff0a92376ae4ba036914eb6319e604ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-11-29T12:49:04Z",
    "title_canon_sha256": "600d789ea63023a69cda822d1316279b8884279a58f4731ed5b9f86ad5807734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0102",
    "kind": "arxiv",
    "version": 2
  }
}