Pith Number

pith:I5KSWZ2M

pith:2011:I5KSWZ2MRHJZ3VDXXNN3RLFJ5B

not attested not anchored not stored refs pending

Random normal matrices and Ward identities

Haakan Hedenmalm, Nikolai Makarov, Yacin Ameur

arxiv:1109.5941 v3 · 2011-09-27 · math.CV · math-ph · 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{I5KSWZ2MRHJZ3VDXXNN3RLFJ5B}

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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

Universality for fluctuations of counting statistics of random normal matrices

Receipt and verification

First computed	2026-05-18T01:32:35.248139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47552b674c89d39dd477bb5bb8aca9e87598ce77b7b1247638623bb67aeaeb72

Aliases

arxiv: 1109.5941 · arxiv_version: 1109.5941v3 · doi: 10.48550/arxiv.1109.5941 · pith_short_12: I5KSWZ2MRHJZ · pith_short_16: I5KSWZ2MRHJZ3VDX · pith_short_8: I5KSWZ2M

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/I5KSWZ2MRHJZ3VDXXNN3RLFJ5B \
  | 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: 47552b674c89d39dd477bb5bb8aca9e87598ce77b7b1247638623bb67aeaeb72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c7a1e2f2252345cbeed4e64a8a1cf6f6c376a9703862f11d2ef87e0e4252f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-27T15:48:51Z",
    "title_canon_sha256": "d0483d16434094ae3ea44eea8dc6f014657ebf42cdac9a6bf83670fadf5c178c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5941",
    "kind": "arxiv",
    "version": 3
  }
}