Pith Number

pith:XF2ZK7NB

pith:2012:XF2ZK7NBUSXNYQGL5GYRTZIU3F

not attested not anchored not stored refs pending

Cauchy-Laguerre two-matrix model and the Meijer-G random point field

J. Szmigielski, M. Bertola, M. Gekhtman

arxiv:1211.5369 v2 · 2012-11-22 · math.PR · 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{XF2ZK7NBUSXNYQGL5GYRTZIU3F}

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	2026-05-18T01:53:01.404426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b975957da1a4aedc40cbe9b119e514d970a1bd30a46d070d0e1c5446e39080d5

Aliases

arxiv: 1211.5369 · arxiv_version: 1211.5369v2 · doi: 10.48550/arxiv.1211.5369 · pith_short_12: XF2ZK7NBUSXN · pith_short_16: XF2ZK7NBUSXNYQGL · pith_short_8: XF2ZK7NB

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/XF2ZK7NBUSXNYQGL5GYRTZIU3F \
  | 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: b975957da1a4aedc40cbe9b119e514d970a1bd30a46d070d0e1c5446e39080d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0a0c23f7e92f66fd30211c34b08cf76288fe42cc219e3dc7ca56d8022b0d82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-22T20:35:35Z",
    "title_canon_sha256": "293f9ae9a374d016d4ca6fe1ec75ca60555c6881006ce64ce08d4891ddc90b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5369",
    "kind": "arxiv",
    "version": 2
  }
}