Pith Number

pith:WBV5L3WR

pith:2010:WBV5L3WRFAIURU6UBZXTBNVQA4

not attested not anchored not stored refs pending

On Apery numbers and generalized central trinomial coefficients

Zhi-Wei Sun

arxiv:1006.2776 v12 · 2010-06-14 · 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{WBV5L3WRFAIURU6UBZXTBNVQA4}

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	2026-05-18T04:19:33.505194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b06bd5eed1281148d3d40e6f30b6b0071e68976a00b10260e09aa9bc030ed7ca

Aliases

arxiv: 1006.2776 · arxiv_version: 1006.2776v12 · doi: 10.48550/arxiv.1006.2776 · pith_short_12: WBV5L3WRFAIU · pith_short_16: WBV5L3WRFAIURU6U · pith_short_8: WBV5L3WR

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/WBV5L3WRFAIURU6UBZXTBNVQA4 \
  | 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: b06bd5eed1281148d3d40e6f30b6b0071e68976a00b10260e09aa9bc030ed7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18669a53ef34568755dc1b7e90664597e4c6ddfb7c817647fb3a538bc3b125e3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-06-14T17:24:29Z",
    "title_canon_sha256": "56932f2951114febc5e650779418805cec30946d3a9333307b2b00ba91f48ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2776",
    "kind": "arxiv",
    "version": 12
  }
}