Pith Number

pith:FXRFV3HO

pith:2015:FXRFV3HOW3NZ5J3VK3JEVP7VJ2

not attested not anchored not stored refs pending

Combinatorics of poly-Bernoulli numbers

Be\'ata B\'enyi, Peter Hajnal

arxiv:1510.05765 v1 · 2015-10-20 · 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{FXRFV3HOW3NZ5J3VK3JEVP7VJ2}

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	2026-05-18T01:29:39.741273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de25aeceeb6db9ea77556d24abff54eb5fc83aea7622a4d636cef7db1875972

Aliases

arxiv: 1510.05765 · arxiv_version: 1510.05765v1 · doi: 10.48550/arxiv.1510.05765 · pith_short_12: FXRFV3HOW3NZ · pith_short_16: FXRFV3HOW3NZ5J3V · pith_short_8: FXRFV3HO

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/FXRFV3HOW3NZ5J3VK3JEVP7VJ2 \
  | 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: 2de25aeceeb6db9ea77556d24abff54eb5fc83aea7622a4d636cef7db1875972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8085653a7bf7814d964892b96e883d19e23d8d15928e3a17ac080e37e4c3eba8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-20T06:02:14Z",
    "title_canon_sha256": "7ab63ab5061bda7b91a8df70aedf30627272a286db046f4ebc399a8b3a6d67a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05765",
    "kind": "arxiv",
    "version": 1
  }
}