Pith Number

pith:2CNFLCS6

pith:2012:2CNFLCS67D52KSZYF6T2TDLAQR

not attested not anchored not stored refs pending

Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles

F. Bornemann, N. S. Witte, P. J. Forrester

arxiv:1209.2190 v1 · 2012-09-11 · math.CA · 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{2CNFLCS67D52KSZYF6T2TDLAQR}

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	2026-05-18T01:54:37.244044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09a558a5ef8fba54b382fa7a98d608467c25ef064d49b390742551311299e7d

Aliases

arxiv: 1209.2190 · arxiv_version: 1209.2190v1 · doi: 10.48550/arxiv.1209.2190 · pith_short_12: 2CNFLCS67D52 · pith_short_16: 2CNFLCS67D52KSZY · pith_short_8: 2CNFLCS6

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/2CNFLCS67D52KSZYF6T2TDLAQR \
  | 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: d09a558a5ef8fba54b382fa7a98d608467c25ef064d49b390742551311299e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5f7a35d2d4d13be4a66d73c66602d22df7a64f72d990263b4c4cd0fb96e567",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-11T00:53:15Z",
    "title_canon_sha256": "195e2fc2e66c576fa5bfde6651d6cda73ecce30bfb2207bc477048f6a920964c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2190",
    "kind": "arxiv",
    "version": 1
  }
}