Pith Number

pith:JT4PDYPZ

pith:2013:JT4PDYPZBG5HOTHH4KIA7HAF4R

not attested not anchored not stored refs pending

Approximating dependent rare events

Adrian R\"ollin, Louis H. Y. Chen

arxiv:1306.4158 v3 · 2013-06-18 · math.PR · 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{JT4PDYPZBG5HOTHH4KIA7HAF4R}

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	2026-05-18T03:11:09.117167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf8f1e1f909ba774ce7e2900f9c05e4748daef085301b4b5ac685ad9dbb3fbc

Aliases

arxiv: 1306.4158 · arxiv_version: 1306.4158v3 · doi: 10.48550/arxiv.1306.4158 · pith_short_12: JT4PDYPZBG5H · pith_short_16: JT4PDYPZBG5HOTHH · pith_short_8: JT4PDYPZ

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/JT4PDYPZBG5HOTHH4KIA7HAF4R \
  | 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: 4cf8f1e1f909ba774ce7e2900f9c05e4748daef085301b4b5ac685ad9dbb3fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20a6778caeae3eca62b327d8c47fd5557a56532e23b0af464d1097e6fa334cc",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-18T11:51:34Z",
    "title_canon_sha256": "3a43992525033646d9dcbd94b848632b76a52ffc1e62454bdd107b20f6fe06c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4158",
    "kind": "arxiv",
    "version": 3
  }
}