Pith Number

pith:Z5JCUVDA

pith:2014:Z5JCUVDARV2LJXYK6NRDWUPMTP

not attested not anchored not stored refs pending

Rook theoretic proofs of some identities related to Spivey's Bell number formula

Ken Joffaniel M. Gonzales, Richell O. Celeste, Roberto B. Corcino

arxiv:1410.0742 v4 · 2014-10-03 · 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{Z5JCUVDARV2LJXYK6NRDWUPMTP}

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	2026-05-18T01:23:08.843461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf522a54608d74b4df0af3623b51ec9bf58978582531eb57d08bc3cf96b04c73

Aliases

arxiv: 1410.0742 · arxiv_version: 1410.0742v4 · doi: 10.48550/arxiv.1410.0742 · pith_short_12: Z5JCUVDARV2L · pith_short_16: Z5JCUVDARV2LJXYK · pith_short_8: Z5JCUVDA

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/Z5JCUVDARV2LJXYK6NRDWUPMTP \
  | 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: cf522a54608d74b4df0af3623b51ec9bf58978582531eb57d08bc3cf96b04c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6860e1421ae2828ce6942e3f2d0bd8f7a71235730f4eea95aa3dc484e8c4bda1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-03T02:22:35Z",
    "title_canon_sha256": "88203a62bb947bfa4b5e469db4333c622f634924d286a75c15d8a61938cccbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0742",
    "kind": "arxiv",
    "version": 4
  }
}