Pith Number

pith:HPKQJYXF

pith:2011:HPKQJYXFBD2X6EJANO42XQURBG

not attested not anchored not stored refs pending

The AEP algorithm for the fast computation of the distribution of the sum of dependent random variables

Giovanni Puccetti, Paul Embrechts, Philipp Arbenz

arxiv:1106.2920 v1 · 2011-06-15 · 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{HPKQJYXFBD2X6EJANO42XQURBG}

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	2026-05-18T04:19:55.325347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd504e2e508f57f11206bb9abc29109865fe0ac01c8b2d7be73f052a14f221b

Aliases

arxiv: 1106.2920 · arxiv_version: 1106.2920v1 · doi: 10.48550/arxiv.1106.2920 · pith_short_12: HPKQJYXFBD2X · pith_short_16: HPKQJYXFBD2X6EJA · pith_short_8: HPKQJYXF

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/HPKQJYXFBD2X6EJANO42XQURBG \
  | 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: 3bd504e2e508f57f11206bb9abc29109865fe0ac01c8b2d7be73f052a14f221b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20da00f2675e064f4a4653f170b3168a08e6642d5cefc4a6a08f009a197d372b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-06-15T10:00:26Z",
    "title_canon_sha256": "43dd44a71263bbb04a9abc1ea21f1de6b5159258585086f7e213b2ee7142012f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2920",
    "kind": "arxiv",
    "version": 1
  }
}