Pith Number

pith:ZIUOFUUD

pith:2013:ZIUOFUUDKTZ3EILVLSULA4R73Y

not attested not anchored not stored refs pending

A simple combinatorial interpretation of certain generalized Bell and Stirling numbers

Ottavio M. D'Antona, Pavol Hell, Pietro Codara

arxiv:1308.1700 v1 · 2013-08-07 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIUOFUUDKTZ3EILVLSULA4R73Y}

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	2026-05-18T03:05:08.499221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca28e2d28354f3b221755ca8b0723fde130d8a27dbf138f25c98d7ce082823f6

Aliases

arxiv: 1308.1700 · arxiv_version: 1308.1700v1 · doi: 10.48550/arxiv.1308.1700 · pith_short_12: ZIUOFUUDKTZ3 · pith_short_16: ZIUOFUUDKTZ3EILV · pith_short_8: ZIUOFUUD

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/ZIUOFUUDKTZ3EILVLSULA4R73Y \
  | 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: ca28e2d28354f3b221755ca8b0723fde130d8a27dbf138f25c98d7ce082823f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d7be2ab75fec3919828254328729346a848496a1f24e44303a1afbc9cef91d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-08-07T21:19:09Z",
    "title_canon_sha256": "272d279ec78b7f7ad462e0e858c18e9be0e836178a6b4f5d4bf4a4c5eaa50bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1700",
    "kind": "arxiv",
    "version": 1
  }
}