Pith Number

pith:YWCNGQZW

pith:2015:YWCNGQZWPVRQVB7NSPDQKF37CW

not attested not anchored not stored refs pending

Log-concavity of the Fennessey-Larcombe-French Sequence

Arthur L.B. Yang, James J.Y. Zhao

arxiv:1503.02151 v1 · 2015-03-07 · 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{YWCNGQZWPVRQVB7NSPDQKF37CW}

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	2026-05-18T02:25:25.757412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c584d343367d630a87ed93c705177f159f4c02f1d72829172a2b8d5638a732e5

Aliases

arxiv: 1503.02151 · arxiv_version: 1503.02151v1 · doi: 10.48550/arxiv.1503.02151 · pith_short_12: YWCNGQZWPVRQ · pith_short_16: YWCNGQZWPVRQVB7N · pith_short_8: YWCNGQZW

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/YWCNGQZWPVRQVB7NSPDQKF37CW \
  | 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: c584d343367d630a87ed93c705177f159f4c02f1d72829172a2b8d5638a732e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e473f95e73ba3ab51b7cf3b3fb8d760be9c91dff56be3bf151b0b9d1412e0e67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-07T09:44:14Z",
    "title_canon_sha256": "d99a6f23e360b81b2429fb16ad9ba3ef80f11213e5e88ac62326ce1028b2ab3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02151",
    "kind": "arxiv",
    "version": 1
  }
}