Pith Number

pith:P4SWCQEL

pith:2013:P4SWCQELK75NAEYQJLT3UTKVEI

not attested not anchored not stored refs pending

Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

Dan Dai, Shuai-Xia Xu, Yu-Qiu Zhao

arxiv:1309.4354 v2 · 2013-09-17 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4SWCQELK75NAEYQJLT3UTKVEI}

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	2026-05-18T01:47:36.479570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2561408b57fad013104ae7ba4d55220e5fe309bf9c00a18ed4a49785bb5cc9

Aliases

arxiv: 1309.4354 · arxiv_version: 1309.4354v2 · doi: 10.48550/arxiv.1309.4354 · pith_short_12: P4SWCQELK75N · pith_short_16: P4SWCQELK75NAEYQ · pith_short_8: P4SWCQEL

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/P4SWCQELK75NAEYQJLT3UTKVEI \
  | 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: 7f2561408b57fad013104ae7ba4d55220e5fe309bf9c00a18ed4a49785bb5cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d611627d136bc371b388f18342137a7a3b24271b45ac3072e9b0331893f189",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-17T15:40:57Z",
    "title_canon_sha256": "e543f00c70d4fde022268d1c87895feaaa4a492d19b30f7766fa66bf79b5cf2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4354",
    "kind": "arxiv",
    "version": 2
  }
}