Pith Number

pith:LTAQLXYM

pith:2010:LTAQLXYMG5S2UUHJ4KSZNEX3SP

not attested not anchored not stored refs pending

Smallest eigenvalue distribution of the fixed trace Laguerre beta-ensemble

Dang-Zheng Liu, Da-Sheng Zhou, Yang Chen

arxiv:1002.3975 v2 · 2010-02-21 · math-ph · 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{LTAQLXYMG5S2UUHJ4KSZNEX3SP}

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	2026-05-18T02:08:58.440453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc105df0c3765aa50e9e2a59692fb93e0021db2cc699b02a5451bc9a3f3782e

Aliases

arxiv: 1002.3975 · arxiv_version: 1002.3975v2 · doi: 10.48550/arxiv.1002.3975 · pith_short_12: LTAQLXYMG5S2 · pith_short_16: LTAQLXYMG5S2UUHJ · pith_short_8: LTAQLXYM

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/LTAQLXYMG5S2UUHJ4KSZNEX3SP \
  | 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: 5cc105df0c3765aa50e9e2a59692fb93e0021db2cc699b02a5451bc9a3f3782e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4820633702ce55aafd3ba4ebe510a3d137b7f78dbf0fda04900682a67603e5de",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-21T15:30:36Z",
    "title_canon_sha256": "bc66463a4e3a68a9b7a61679e43c5eae9027f631713e8523415bea8bb22e7e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3975",
    "kind": "arxiv",
    "version": 2
  }
}