Pith Number

pith:5XWRM6T6

pith:2009:5XWRM6T6KJZIXYIM4USCJOE4QK

not attested not anchored not stored refs pending

The single ring theorem

Alice Guionnet, Manjunath Krishnapur, Ofer Zeitouni

arxiv:0909.2214 v2 · 2009-09-11 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XWRM6T6KJZIXYIM4USCJOE4QK}

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

Early Anomaly Detection in Power Systems Based on Random Matrix Theory

Receipt and verification

First computed	2026-05-18T04:36:08.863885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eded167a7e52728be10ce52424b89c829012ff31ef2c8d3ab2590154fea1ad1f

Aliases

arxiv: 0909.2214 · arxiv_version: 0909.2214v2 · doi: 10.48550/arxiv.0909.2214 · pith_short_12: 5XWRM6T6KJZI · pith_short_16: 5XWRM6T6KJZIXYIM · pith_short_8: 5XWRM6T6

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/5XWRM6T6KJZIXYIM4USCJOE4QK \
  | 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: eded167a7e52728be10ce52424b89c829012ff31ef2c8d3ab2590154fea1ad1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7b43252b6cca97c0b4c6e964105d343f17fb04b3f658149aff16c077748aded",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-11T16:39:25Z",
    "title_canon_sha256": "5e7d84d09317ad99055fa777ee8b07167aefaec5801dd2721fc0cbdb95bebf93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2214",
    "kind": "arxiv",
    "version": 2
  }
}