Pith Number

pith:QRK7VFHB

pith:2013:QRK7VFHB7KRSWG4767HVF3BLF5

not attested not anchored not stored refs pending

Edge Universality of Beta Ensembles

Horng-Tzer Yau, Laszlo Erdos, Paul Bourgade

arxiv:1306.5728 v2 · 2013-06-24 · 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{QRK7VFHB7KRSWG4767HVF3BLF5}

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	2026-05-18T01:49:08.548035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8455fa94e1faa32b1b9ff7cf52ec2b2f59ebe5566f24f34fa650babc6d51e79c

Aliases

arxiv: 1306.5728 · arxiv_version: 1306.5728v2 · doi: 10.48550/arxiv.1306.5728 · pith_short_12: QRK7VFHB7KRS · pith_short_16: QRK7VFHB7KRSWG47 · pith_short_8: QRK7VFHB

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/QRK7VFHB7KRSWG4767HVF3BLF5 \
  | 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: 8455fa94e1faa32b1b9ff7cf52ec2b2f59ebe5566f24f34fa650babc6d51e79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8f21a4cc8233cd1847a34f971f60b7c4fe04dbd5456d4435a0d9ebfef7388a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-24T19:55:29Z",
    "title_canon_sha256": "cfb8f160437f0cdcc3ecc04bd54cb0a32b21073b873a3add27ae9ff44d36eefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5728",
    "kind": "arxiv",
    "version": 2
  }
}