Pith Number

pith:W52DOLYP

pith:2013:W52DOLYPEE5ZMGSZJDEZTTNLYR

not attested not anchored not stored refs pending

On Critical Points for Gaussian Vectors with Infinitely Divisible Squares

Hana Kogan

arxiv:1303.5450 v1 · 2013-03-21 · 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{W52DOLYPEE5ZMGSZJDEZTTNLYR}

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	2026-05-18T03:30:04.104613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b774372f0f213b961a5948c999cdabc4770a0c3d6051b92cc3b0e0e549635c63

Aliases

arxiv: 1303.5450 · arxiv_version: 1303.5450v1 · doi: 10.48550/arxiv.1303.5450 · pith_short_12: W52DOLYPEE5Z · pith_short_16: W52DOLYPEE5ZMGSZ · pith_short_8: W52DOLYP

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/W52DOLYPEE5ZMGSZJDEZTTNLYR \
  | 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: b774372f0f213b961a5948c999cdabc4770a0c3d6051b92cc3b0e0e549635c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d31e3fa753e76ed41d63fef567267e15f26ba72b1e33697452c53820e38d8235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-21T20:10:18Z",
    "title_canon_sha256": "7fe18c242f6036c07690493fcd626e1beb29945e03d2baea4fa110af5d8a31fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5450",
    "kind": "arxiv",
    "version": 1
  }
}