Pith Number

pith:Z7S763WH

pith:2014:Z7S763WHPEOK4ENPSUSJW5QFOA

not attested not anchored not stored refs pending

Congruences for Fishburn numbers modulo prime powers

Armin Straub

arxiv:1407.7521 v1 · 2014-07-28 · 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{Z7S763WHPEOK4ENPSUSJW5QFOA}

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	2026-05-18T02:07:27.050701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe5ff6ec7791cae11af95249b7605700d06da72bf754c566d81010d20f0fff1

Aliases

arxiv: 1407.7521 · arxiv_version: 1407.7521v1 · doi: 10.48550/arxiv.1407.7521 · pith_short_12: Z7S763WHPEOK · pith_short_16: Z7S763WHPEOK4ENP · pith_short_8: Z7S763WH

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/Z7S763WHPEOK4ENPSUSJW5QFOA \
  | 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: cfe5ff6ec7791cae11af95249b7605700d06da72bf754c566d81010d20f0fff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187f1cb0531a4bb5d804e3730b08f0ad429b9f194f45228f7daad247e5de439e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-28T19:59:09Z",
    "title_canon_sha256": "8f7ffafe337f9fac60103b084282e9534b030a3cbab34b31a42c6ae27ee584dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7521",
    "kind": "arxiv",
    "version": 1
  }
}