Pith Number

pith:2B6KMWLC

pith:2010:2B6KMWLCJZIB5BX3QTIXM677JV

not attested not anchored not stored refs pending

On a curious property of Bell numbers

Don Zagier, Zhi-Wei Sun

arxiv:1008.1573 v1 · 2010-08-09 · math.NT · 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{2B6KMWLCJZIB5BX3QTIXM677JV}

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	2026-05-18T04:42:24.023809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07ca659624e501e86fb84d1767bff4d620ec1c68c1e9cdcd16cd26c1c04b2b2

Aliases

arxiv: 1008.1573 · arxiv_version: 1008.1573v1 · doi: 10.48550/arxiv.1008.1573 · pith_short_12: 2B6KMWLCJZIB · pith_short_16: 2B6KMWLCJZIB5BX3 · pith_short_8: 2B6KMWLC

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/2B6KMWLCJZIB5BX3QTIXM677JV \
  | 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: d07ca659624e501e86fb84d1767bff4d620ec1c68c1e9cdcd16cd26c1c04b2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911cbdaa26e9e25c57d7cafb08f69f042c4970f14eaaa3bd3ebf48bbad6bcaa5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-09T19:48:14Z",
    "title_canon_sha256": "e94e3013b55c96ed16611e6b1ec99c9f0ca3a2ac22e791939bdd53be75e53d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1573",
    "kind": "arxiv",
    "version": 1
  }
}