Pith Number

pith:2SZ7J4R5

pith:2013:2SZ7J4R5JSYTKS4QVI356QEAXO

not attested not anchored not stored refs pending

Plancherel-Rotach formulae for average characteristic polynomials of products of Ginibre random matrices and the Fuss-Catalan distribution

Thorsten Neuschel

arxiv:1311.0365 v1 · 2013-11-02 · math.CA · 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{2SZ7J4R5JSYTKS4QVI356QEAXO}

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	2026-05-18T03:08:06.200033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b3f4f23d4cb1354b90aa37df4080bbbd7ed1c8192f37db50b77cded18513bd

Aliases

arxiv: 1311.0365 · arxiv_version: 1311.0365v1 · doi: 10.48550/arxiv.1311.0365 · pith_short_12: 2SZ7J4R5JSYT · pith_short_16: 2SZ7J4R5JSYTKS4Q · pith_short_8: 2SZ7J4R5

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/2SZ7J4R5JSYTKS4QVI356QEAXO \
  | 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: d4b3f4f23d4cb1354b90aa37df4080bbbd7ed1c8192f37db50b77cded18513bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4611d174f9fcfdd328e04a2fbf88e3928568ff45522f9c4fcc201c57f1a08d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-02T10:29:19Z",
    "title_canon_sha256": "6054b50636792389236d97e5324871266564e9d969f75736b723a3c2f76b3ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0365",
    "kind": "arxiv",
    "version": 1
  }
}