Pith Number

pith:TNI3WN7F

pith:2014:TNI3WN7FPYZPUCTSY5Y3ZR5BUP

not attested not anchored not stored refs pending

Combinatorial proofs of some Bell number formulas

Mark Shattuck

arxiv:1401.6588 v1 · 2014-01-25 · 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{TNI3WN7FPYZPUCTSY5Y3ZR5BUP}

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	2026-05-18T03:01:01.258055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b51bb37e57e32fa0a72c771bcc7a1a3e078369a3b05d0d2eb75aa2585163307

Aliases

arxiv: 1401.6588 · arxiv_version: 1401.6588v1 · doi: 10.48550/arxiv.1401.6588 · pith_short_12: TNI3WN7FPYZP · pith_short_16: TNI3WN7FPYZPUCTS · pith_short_8: TNI3WN7F

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/TNI3WN7FPYZPUCTSY5Y3ZR5BUP \
  | 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: 9b51bb37e57e32fa0a72c771bcc7a1a3e078369a3b05d0d2eb75aa2585163307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6247e17cb4158fc9d268b4bdaeae16882f5a4e235231e26ac7d69fbf8ab12d44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-25T22:27:33Z",
    "title_canon_sha256": "8c26da23c3d33745007544dd6cabd0895ee11f7c3ec82b9e7d9a5ab0c0222a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6588",
    "kind": "arxiv",
    "version": 1
  }
}