Pith Number

pith:ZCTS33WC

pith:2018:ZCTS33WCBSVO6F2RPJTC766AYI

not attested not anchored not stored refs pending

On certain combinatorial expansions of the Legendre-Stirling numbers

Jun Ma, Shi-Mei Ma, Yeong-Nan Yeh

arxiv:1805.10998 v1 · 2018-05-28 · 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{ZCTS33WCBSVO6F2RPJTC766AYI}

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	2026-05-18T00:14:48.556987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a72deec20caaef17517a662ffbc0c203c2a482fd3f09459e6275bbd9f0f5ff

Aliases

arxiv: 1805.10998 · arxiv_version: 1805.10998v1 · doi: 10.48550/arxiv.1805.10998 · pith_short_12: ZCTS33WCBSVO · pith_short_16: ZCTS33WCBSVO6F2R · pith_short_8: ZCTS33WC

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/ZCTS33WCBSVO6F2RPJTC766AYI \
  | 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: c8a72deec20caaef17517a662ffbc0c203c2a482fd3f09459e6275bbd9f0f5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d02c4378586eb96d44a9efda359c1c2d3ad26d6af0a2ff67a7776688e0e6554",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-28T16:01:16Z",
    "title_canon_sha256": "f4d0d478b7756a960a71183f1587e8196292e6d2a33a1e5f4f5e46aa64fc1cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10998",
    "kind": "arxiv",
    "version": 1
  }
}