Pith Number

pith:ZUVA2SAR

pith:2018:ZUVA2SAR5XWJPQRTUHBV6Z6DCH

not attested not anchored not stored refs pending

Poly-Bernoulli Numbers and Eulerian Numbers

Beata Benyi, Peter Hajnal

arxiv:1804.01868 v1 · 2018-04-05 · 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{ZUVA2SAR5XWJPQRTUHBV6Z6DCH}

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	2026-05-17T23:58:52.860143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd2a0d4811edec97c233a1c35f67c311c970fbf7a4b9620b43c87a8b2d9e67bc

Aliases

arxiv: 1804.01868 · arxiv_version: 1804.01868v1 · doi: 10.48550/arxiv.1804.01868 · pith_short_12: ZUVA2SAR5XWJ · pith_short_16: ZUVA2SAR5XWJPQRT · pith_short_8: ZUVA2SAR

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/ZUVA2SAR5XWJPQRTUHBV6Z6DCH \
  | 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: cd2a0d4811edec97c233a1c35f67c311c970fbf7a4b9620b43c87a8b2d9e67bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d4506ace93545b3cd55f762e87ecb0fb63cb19b246fca2ced1186d11e4918d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-05T14:16:30Z",
    "title_canon_sha256": "9570a6b60befb0aa9ea19eb7db3fae5075cc21636dd3d1c13ecf3b0774594630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01868",
    "kind": "arxiv",
    "version": 1
  }
}