Pith Number

pith:E2IZYEYF

pith:2012:E2IZYEYFJH5EJJG362YYBMCOFZ

not attested not anchored not stored refs pending

Transitions between critical kernels: from the tacnode kernel and critical kernel in the two-matrix model to the Pearcey kernel

Dries Geudens, Lun Zhang

arxiv:1208.0762 v1 · 2012-08-03 · math-ph · math.CA · math.MP · 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{E2IZYEYFJH5EJJG362YYBMCOFZ}

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.

Cited by

1 paper in Pith

Quantum chaotic systems: a random-matrix approach

Receipt and verification

First computed	2026-05-18T03:49:22.881648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26919c130549fa44a4dbf6b180b04e2e68da359b56adf16ab68fc5bf733a7b3f

Aliases

arxiv: 1208.0762 · arxiv_version: 1208.0762v1 · doi: 10.48550/arxiv.1208.0762 · pith_short_12: E2IZYEYFJH5E · pith_short_16: E2IZYEYFJH5EJJG3 · pith_short_8: E2IZYEYF

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/E2IZYEYFJH5EJJG362YYBMCOFZ \
  | 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: 26919c130549fa44a4dbf6b180b04e2e68da359b56adf16ab68fc5bf733a7b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9adfc9053192070fedc3f85aaf384b1225480de2c0ced6c2357c7e63eeb0e48",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-03T14:44:14Z",
    "title_canon_sha256": "a082931bff29f2fa2e04d23b05df24709ff95734b4cdaa0e02c1d1179d02fd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0762",
    "kind": "arxiv",
    "version": 1
  }
}