Pith Number

pith:HAXXHF3C

pith:2015:HAXXHF3CCHRVI4AAE7W37U6DRO

not attested not anchored not stored refs pending

The probability distribution of spectral moments for the Gaussian beta-ensembles

Christopher H. Joyner, Tomasz Maci\k{a}\.zek, Uzy Smilansky

arxiv:1510.03898 v2 · 2015-10-13 · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAXXHF3CCHRVI4AAE7W37U6DRO}

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	2026-05-18T01:09:45.806338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382f73976211e354700027edbfd3c38bb44b62955f7ae20f714f32bf6c44aed4

Aliases

arxiv: 1510.03898 · arxiv_version: 1510.03898v2 · doi: 10.48550/arxiv.1510.03898 · pith_short_12: HAXXHF3CCHRV · pith_short_16: HAXXHF3CCHRVI4AA · pith_short_8: HAXXHF3C

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/HAXXHF3CCHRVI4AAE7W37U6DRO \
  | 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: 382f73976211e354700027edbfd3c38bb44b62955f7ae20f714f32bf6c44aed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8570062b0d32d069ed196067a965d151ef44c301947da99b9f093b56beeb5dd",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-13T21:10:24Z",
    "title_canon_sha256": "10d2a89cfe06ae7a2a620033fee93703b4c3bac09cfc5cc984d450d3059b0f2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03898",
    "kind": "arxiv",
    "version": 2
  }
}