Pith Number

pith:GEZFQLBC

pith:2012:GEZFQLBCVSFRZOM7XYNE5D5ZJB

not attested not anchored not stored refs pending

Bulk Universality of General $\beta$-Ensembles with Non-convex Potential

Horng-Tzer Yau, Laszlo Erdos, Paul Bourgade

arxiv:1201.2283 v2 · 2012-01-11 · 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{GEZFQLBCVSFRZOM7XYNE5D5ZJB}

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	2026-05-18T01:58:52.910590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3132582c22ac8b1cb99fbe1a4e8fb9484419fe26f989cf8ebdcc5cac5e823b09

Aliases

arxiv: 1201.2283 · arxiv_version: 1201.2283v2 · doi: 10.48550/arxiv.1201.2283 · pith_short_12: GEZFQLBCVSFR · pith_short_16: GEZFQLBCVSFRZOM7 · pith_short_8: GEZFQLBC

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/GEZFQLBCVSFRZOM7XYNE5D5ZJB \
  | 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: 3132582c22ac8b1cb99fbe1a4e8fb9484419fe26f989cf8ebdcc5cac5e823b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5676a281f8940bd18e062ef12d1a5cc578cf48b136da53b29aed6756db3ceee6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-11T11:36:39Z",
    "title_canon_sha256": "d36f86a40e4a155a228c855e8caf72572fbdd9a77819e01f35e1100c51eef728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2283",
    "kind": "arxiv",
    "version": 2
  }
}