Pith Number

pith:W4QVH7G5

pith:2014:W4QVH7G5UTKUTYU2XTT2KTPUWR

not attested not anchored not stored refs pending

Congruences and relations for r-Fishburn numbers

Frank Garvan

arxiv:1406.5611 v1 · 2014-06-21 · 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{W4QVH7G5UTKUTYU2XTT2KTPUWR}

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	2026-05-18T02:49:11.149990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72153fcdda4d549e29abce7a54df4b453461d2b9c52da9f8a9d46161499941d

Aliases

arxiv: 1406.5611 · arxiv_version: 1406.5611v1 · doi: 10.48550/arxiv.1406.5611 · pith_short_12: W4QVH7G5UTKU · pith_short_16: W4QVH7G5UTKUTYU2 · pith_short_8: W4QVH7G5

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/W4QVH7G5UTKUTYU2XTT2KTPUWR \
  | 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: b72153fcdda4d549e29abce7a54df4b453461d2b9c52da9f8a9d46161499941d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2a730de827d71eda48701a8466d9f899f8d04c7c25d23a6d71d73013e0ea3c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-21T14:06:26Z",
    "title_canon_sha256": "4a2087b9e834479857fa67cd20cd0608f6ebba8cf669943610a58785373a85d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5611",
    "kind": "arxiv",
    "version": 1
  }
}