Pith Number

pith:DYMQAPCD

pith:2011:DYMQAPCDMCN5XQDVJ37YAJLQBO

not attested not anchored not stored refs pending

Universality of General $\beta$-Ensembles

Horng-Tzer Yau, Laszlo Erdos, Paul Bourgade

arxiv:1104.2272 v5 · 2011-04-12 · 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{DYMQAPCDMCN5XQDVJ37YAJLQBO}

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	2026-05-18T02:29:32.737723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e19003c43609bdbc0754eff8025700bba1ce887a23282282344c045678fb31b

Aliases

arxiv: 1104.2272 · arxiv_version: 1104.2272v5 · doi: 10.48550/arxiv.1104.2272 · pith_short_12: DYMQAPCDMCN5 · pith_short_16: DYMQAPCDMCN5XQDV · pith_short_8: DYMQAPCD

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/DYMQAPCDMCN5XQDVJ37YAJLQBO \
  | 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: 1e19003c43609bdbc0754eff8025700bba1ce887a23282282344c045678fb31b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9096fd05d40940d0b8d9bdc65677d59a8998f1c39c6be3370703eb39848495c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-12T17:00:11Z",
    "title_canon_sha256": "18695ca9a5b3c862bf36e19ddbe91015f63d4acfdb094e640fadb093115d3ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2272",
    "kind": "arxiv",
    "version": 5
  }
}