Pith Number

pith:LU36NWYY

pith:2025:LU36NWYYR74A6JYW2BV2KBDL5R

not attested not anchored not stored refs pending

Partial Deranged Bell Numbers and Their Combinatorial Properties

Levent Karg{\i}n, M\"um\"un Can, Yahia Djemmada

arxiv:2507.21643 v1 · 2025-07-29 · 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{LU36NWYYR74A6JYW2BV2KBDL5R}

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.

Cited by

2 papers in Pith

On Deranged Unit-Interval Parking Functions and the Deranged Bell Numbers

Combinatorics of higher order degenerate $r$-DERANGED Bell Numbers

Receipt and verification

First computed	2026-07-05T11:45:03.706490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d37e6db188ff80f2716d06ba5046bec54e9f14bee2afcdb04f5b2f4f3824d5a

Aliases

arxiv: 2507.21643 · arxiv_version: 2507.21643v1 · doi: 10.48550/arxiv.2507.21643 · pith_short_12: LU36NWYYR74A · pith_short_16: LU36NWYYR74A6JYW · pith_short_8: LU36NWYY

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/LU36NWYYR74A6JYW2BV2KBDL5R \
  | 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: 5d37e6db188ff80f2716d06ba5046bec54e9f14bee2afcdb04f5b2f4f3824d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e2db58d57f332a855ae93dfbd427a8e381a8cc38cdf86ceeabcf52b578b809",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-29T09:58:46Z",
    "title_canon_sha256": "e2f690d871a694f6dc515071378108d1582185c6bc785540fac9be76b715a732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21643",
    "kind": "arxiv",
    "version": 1
  }
}