Pith Number

pith:SHH4MCZ6

pith:2013:SHH4MCZ6WJYMLVHD7AL4LHJ6VZ

not attested not anchored not stored refs pending

Dually weighted Stirling-type sequences

Evelyn L. Tan, Ken Joffaniel M. Gonzales, Manuel Joseph C. Loquias, Roberto B. Corcino

arxiv:1302.4694 v3 · 2013-02-19 · 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{SHH4MCZ6WJYMLVHD7AL4LHJ6VZ}

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	2026-05-18T02:46:31.437822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91cfc60b3eb270c5d4e3f817c59d3eae67ae3c1a267c53fc0abb384c1f4c8f3a

Aliases

arxiv: 1302.4694 · arxiv_version: 1302.4694v3 · doi: 10.48550/arxiv.1302.4694 · pith_short_12: SHH4MCZ6WJYM · pith_short_16: SHH4MCZ6WJYMLVHD · pith_short_8: SHH4MCZ6

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/SHH4MCZ6WJYMLVHD7AL4LHJ6VZ \
  | 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: 91cfc60b3eb270c5d4e3f817c59d3eae67ae3c1a267c53fc0abb384c1f4c8f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17cf8145ea140ffd8367e2a16a6862f970e228a8ae1718d8cce83f85375b46b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-19T17:47:36Z",
    "title_canon_sha256": "4843fb1dff4671caf44856dee33d5ac83189c54f2ad749178a9922de3b69b4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4694",
    "kind": "arxiv",
    "version": 3
  }
}