Pith Number

pith:DWALNSAS

pith:2019:DWALNSASNC7E35FF4BPT2VC5IY

not attested not anchored not stored refs pending

Some identities on r-central factorial numbers and r-central Bell polynomials

Dae San Kim, Dmitry V. Dolgy, Dojin Kim, Taekyun Kim

arxiv:1903.11689 v1 · 2019-03-23 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWALNSASNC7E35FF4BPT2VC5IY}

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	2026-05-17T23:50:02.047002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d80b6c81268be4df4a5e05f3d545d46125071e8016e11ad49aeb04d1f885dc7

Aliases

arxiv: 1903.11689 · arxiv_version: 1903.11689v1 · doi: 10.48550/arxiv.1903.11689 · pith_short_12: DWALNSASNC7E · pith_short_16: DWALNSASNC7E35FF · pith_short_8: DWALNSAS

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/DWALNSASNC7E35FF4BPT2VC5IY \
  | 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: 1d80b6c81268be4df4a5e05f3d545d46125071e8016e11ad49aeb04d1f885dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2f1202b218e0e29e5e68ea95792e0fc026f6d8067daa26696c00cc511d1198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-23T08:19:36Z",
    "title_canon_sha256": "a9473ab40c24f997862e1a22fa73c05f062d849f90895b47b514bf7272004797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11689",
    "kind": "arxiv",
    "version": 1
  }
}