Pith Number

pith:JLIXQVBC

pith:2011:JLIXQVBCLOKLW4M6KZKMSC4HLC

not attested not anchored not stored refs pending

PDEs satisfied by extreme eigenvalues distributions of GUE and LUE

Estelle Basor, Lun Zhang, Yang Chen

arxiv:1102.0402 v1 · 2011-02-02 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLIXQVBCLOKLW4M6KZKMSC4HLC}

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	2026-05-18T04:30:04.975397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad17854225b94bb719e5654c90b8758b57072879cd175e1026b67e398677832

Aliases

arxiv: 1102.0402 · arxiv_version: 1102.0402v1 · doi: 10.48550/arxiv.1102.0402 · pith_short_12: JLIXQVBCLOKL · pith_short_16: JLIXQVBCLOKLW4M6 · pith_short_8: JLIXQVBC

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/JLIXQVBCLOKLW4M6KZKMSC4HLC \
  | 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: 4ad17854225b94bb719e5654c90b8758b57072879cd175e1026b67e398677832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a543200dbb4749934c0025ca5177725f8d654a482027c0c789b4f49909100ba5",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-02T11:06:19Z",
    "title_canon_sha256": "e984454fc4a472bd411cd4cfeea2240bbcc8764aaa1091136f45677fad134b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0402",
    "kind": "arxiv",
    "version": 1
  }
}