Pith Number

pith:VYLFUT64

pith:2012:VYLFUT64XPGXU6J3XUZQIEYS7I

not attested not anchored not stored refs pending

Smallest Gaps Between Eigenvalues of Random Matrices With Complex Ginibre, Wishart and Universal Unitary Ensembles

Dai Shi, Yunjiang Jiang

arxiv:1207.4240 v1 · 2012-07-18 · 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{VYLFUT64XPGXU6J3XUZQIEYS7I}

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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

Smallest gaps of the two-dimensional Coulomb gas

Receipt and verification

First computed	2026-05-18T03:50:47.286237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae165a4fdcbbcd7a793bbd33041312fa30a4f9bfbc47d116fe98f9da0f6bef05

Aliases

arxiv: 1207.4240 · arxiv_version: 1207.4240v1 · doi: 10.48550/arxiv.1207.4240 · pith_short_12: VYLFUT64XPGX · pith_short_16: VYLFUT64XPGXU6J3 · pith_short_8: VYLFUT64

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/VYLFUT64XPGXU6J3XUZQIEYS7I \
  | 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: ae165a4fdcbbcd7a793bbd33041312fa30a4f9bfbc47d116fe98f9da0f6bef05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ee0e39836153417d2ee7c8c13a9280b60fbd932723523f3dd6344abb7de2df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-18T00:24:54Z",
    "title_canon_sha256": "80e895792759e8a43260285ef26c4d9c88fda8f7122c9bf7cdf671a9d98ccdd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4240",
    "kind": "arxiv",
    "version": 1
  }
}