Pith Number

pith:MJAP4X7Y

pith:2010:MJAP4X7YRHHWVMYGVEON2NIOHS

not attested not anchored not stored refs pending

Extreme gaps between eigenvalues of random matrices

G\'erard Ben Arous, Paul Bourgade

arxiv:1010.1294 v3 · 2010-10-06 · 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{MJAP4X7YRHHWVMYGVEON2NIOHS}

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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.

Cited by

1 paper in Pith

Black Holes and Random Variables

Receipt and verification

First computed	2026-05-18T03:17:44.935263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6240fe5ff889cf6ab306a91cdd350e3c9653d4badf2ce60472825804d3eb6370

Aliases

arxiv: 1010.1294 · arxiv_version: 1010.1294v3 · doi: 10.48550/arxiv.1010.1294 · pith_short_12: MJAP4X7YRHHW · pith_short_16: MJAP4X7YRHHWVMYG · pith_short_8: MJAP4X7Y

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/MJAP4X7YRHHWVMYGVEON2NIOHS \
  | 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: 6240fe5ff889cf6ab306a91cdd350e3c9653d4badf2ce60472825804d3eb6370

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638937f090f8bf00c7cf2c34681ff22ce195d203007c921b1063639c30bf71f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-06T22:32:15Z",
    "title_canon_sha256": "f88243ba3ffe6fdc1f3facd5cac827451efe9fe4696a42cbabfbdf81e52010c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1294",
    "kind": "arxiv",
    "version": 3
  }
}