Pith Number

pith:62YWGULD

pith:2013:62YWGULD2OPLWVGXNNXNTTKPDO

not attested not anchored not stored refs pending

An extended family of circular distributions related to wrapped Cauchy distributions via Brownian motion

M.C. Jones, Shogo Kato

arxiv:1302.0098 v1 · 2013-02-01 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62YWGULD2OPLWVGXNNXNTTKPDO}

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	2026-05-18T03:34:47.460062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b1635163d39ebb54d76b6ed9cd4f1ba059f180d85f6d4bf83957a5bf1b1cd2

Aliases

arxiv: 1302.0098 · arxiv_version: 1302.0098v1 · doi: 10.48550/arxiv.1302.0098 · pith_short_12: 62YWGULD2OPL · pith_short_16: 62YWGULD2OPLWVGX · pith_short_8: 62YWGULD

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/62YWGULD2OPLWVGXNNXNTTKPDO \
  | 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: f6b1635163d39ebb54d76b6ed9cd4f1ba059f180d85f6d4bf83957a5bf1b1cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7baed7a57a7fd2b320f7f827bcb971151b3669d03130e8eed2942dda7b00f5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-02-01T07:11:41Z",
    "title_canon_sha256": "db4bdad7d4d6dae763550cb8bcf485ee51b70d3530aa215c34b58948a94afbbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0098",
    "kind": "arxiv",
    "version": 1
  }
}