Pith Number

pith:EF7BYLWT

pith:2019:EF7BYLWTKYOFC5IQOXLPGIR34C

not attested not anchored not stored refs pending

The compound product distribution; a solution to the distributional equation X=AX+1

Arrigo Coen

arxiv:1905.04758 v1 · 2019-05-12 · stat.CO · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EF7BYLWTKYOFC5IQOXLPGIR34C}

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	2026-05-17T23:46:23.630359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217e1c2ed3561c51751075d6f3223be0a26795106864427d0b569eb2186b1ec7

Aliases

arxiv: 1905.04758 · arxiv_version: 1905.04758v1 · doi: 10.48550/arxiv.1905.04758 · pith_short_12: EF7BYLWTKYOF · pith_short_16: EF7BYLWTKYOFC5IQ · pith_short_8: EF7BYLWT

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/EF7BYLWTKYOFC5IQOXLPGIR34C \
  | 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: 217e1c2ed3561c51751075d6f3223be0a26795106864427d0b569eb2186b1ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fe9cf6cd7d6c053f98173e2a9d9b3bfb82b07aac1d991775963952479db1cc",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2019-05-12T18:08:08Z",
    "title_canon_sha256": "6810021faf4c2cb93eeebe2c67a9a8602f6cf02f83fcee984f18fe39beda7ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04758",
    "kind": "arxiv",
    "version": 1
  }
}