Pith Number

pith:T4A5D3F6

pith:2018:T4A5D3F6GTTG7ELKKURM2BF5PT

not attested not anchored not stored refs pending

A probabilistic generalization of the Stirling numbers of the second kind

Alberto Lekuona, Jos\'e A. Adell

arxiv:1803.04914 v1 · 2018-03-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4A5D3F6GTTG7ELKKURM2BF5PT}

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	2026-05-18T00:21:15.460391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f01d1ecbe34e66f916a5522cd04bd7cd1cc83bdc914c4a9118ededdcd0bd9ce

Aliases

arxiv: 1803.04914 · arxiv_version: 1803.04914v1 · doi: 10.48550/arxiv.1803.04914 · pith_short_12: T4A5D3F6GTTG · pith_short_16: T4A5D3F6GTTG7ELK · pith_short_8: T4A5D3F6

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/T4A5D3F6GTTG7ELKKURM2BF5PT \
  | 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: 9f01d1ecbe34e66f916a5522cd04bd7cd1cc83bdc914c4a9118ededdcd0bd9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb0a3d164691b5c610bcf1d5fe29a654a53e4b986e8b50ac8578e5144da1974",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-13T16:19:03Z",
    "title_canon_sha256": "52b21e8ff97d31bf866e5d3f077a94b4fb074a3262dc89ed7bebae706de83e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04914",
    "kind": "arxiv",
    "version": 1
  }
}