Pith Number

pith:64NFCRM7

pith:2014:64NFCRM7ESKJM4GIOEUPRV47TF

not attested not anchored not stored refs pending

Generalizations of Bell number formulas of Spivey and Mezo

Mark Shattuck

arxiv:1412.1110 v1 · 2014-12-02 · 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{64NFCRM7ESKJM4GIOEUPRV47TF}

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	2026-05-18T02:32:13.415911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71a51459f24949670c87128f8d79f99453415e84591c95e78452c63a3d0cad4

Aliases

arxiv: 1412.1110 · arxiv_version: 1412.1110v1 · doi: 10.48550/arxiv.1412.1110 · pith_short_12: 64NFCRM7ESKJ · pith_short_16: 64NFCRM7ESKJM4GI · pith_short_8: 64NFCRM7

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/64NFCRM7ESKJM4GIOEUPRV47TF \
  | 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: f71a51459f24949670c87128f8d79f99453415e84591c95e78452c63a3d0cad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2a4593688e29ea8f0eb37b402547b8199726b8c8fd7f4aa2ffd76b34b2916d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-02T21:41:54Z",
    "title_canon_sha256": "c4c3fe1af3f51aa0b7f661b5f458f9c27b4fbcf308a5fcda3f8e077a0e45454c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1110",
    "kind": "arxiv",
    "version": 1
  }
}