Pith Number

pith:5RDWAAE5

pith:2013:5RDWAAE5KYNAQNDZYOVAJUXKAF

not attested not anchored not stored refs pending

Graph connection Laplacian and random matrices with random blocks

Hau-Tieng Wu, Noureddine El Karoui

arxiv:1310.0188 v2 · 2013-10-01 · math.PR · math.SP · stat.ME · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RDWAAE5KYNAQNDZYOVAJUXKAF}

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	2026-05-18T02:35:52.324050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4760009d561a083479c3aa04d2ea01461d44abadb7acf67cf4be0f8966b075

Aliases

arxiv: 1310.0188 · arxiv_version: 1310.0188v2 · doi: 10.48550/arxiv.1310.0188 · pith_short_12: 5RDWAAE5KYNA · pith_short_16: 5RDWAAE5KYNAQNDZ · pith_short_8: 5RDWAAE5

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/5RDWAAE5KYNAQNDZYOVAJUXKAF \
  | 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: ec4760009d561a083479c3aa04d2ea01461d44abadb7acf67cf4be0f8966b075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ef0d6f7b32865c045c0e313c490b6d469d3ca4cca181603435c37b17a291b2",
    "cross_cats_sorted": [
      "math.SP",
      "stat.ME",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-01T08:38:13Z",
    "title_canon_sha256": "ba5b99e90252ce2d5e173dbbd2ebd561e7f13649d8dcf5cffb08f9b868c0fa6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0188",
    "kind": "arxiv",
    "version": 2
  }
}