Pith Number

pith:C3BNJUFK

pith:2013:C3BNJUFKCHZVOFBVHA2C4NUBTK

not attested not anchored not stored refs pending

On the Largest Eigenvalue of Products from the \beta-Laguerre Ensemble

Zachary Gelbaum

arxiv:1301.5918 v1 · 2013-01-24 · 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{C3BNJUFKCHZVOFBVHA2C4NUBTK}

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	2026-05-18T03:35:27.577122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c2d4d0aa11f357143538342e36819aafc3ebc3b6d2791cb94dfd0cb7791df5

Aliases

arxiv: 1301.5918 · arxiv_version: 1301.5918v1 · doi: 10.48550/arxiv.1301.5918 · pith_short_12: C3BNJUFKCHZV · pith_short_16: C3BNJUFKCHZVOFBV · pith_short_8: C3BNJUFK

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/C3BNJUFKCHZVOFBVHA2C4NUBTK \
  | 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: 16c2d4d0aa11f357143538342e36819aafc3ebc3b6d2791cb94dfd0cb7791df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f710374ce911aa601f5f27ef74d745f54840f30a21e0a7ef4fc8812024c35fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-24T21:54:32Z",
    "title_canon_sha256": "581535f8638c5137001d40551bc878a953107fe411c8fb040b994f0e3a8f8fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5918",
    "kind": "arxiv",
    "version": 1
  }
}