Pith Number

pith:MJRRK5PG

pith:2018:MJRRK5PGKX6TBVHQJQ3FOZ4LKA

not attested not anchored not stored refs pending

Explicit Formulae of Cauchy Polynomials with a $q$ Parameter in Terms of $r$-Whitney Numbers

F. A. Shiha

arxiv:1804.00654 v2 · 2018-04-01 · 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{MJRRK5PGKX6TBVHQJQ3FOZ4LKA}

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	2026-05-18T00:18:30.785603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62631575e655fd30d4f04c3657678b503456a0bfc8e40103b6db109d3cdf3649

Aliases

arxiv: 1804.00654 · arxiv_version: 1804.00654v2 · doi: 10.48550/arxiv.1804.00654 · pith_short_12: MJRRK5PGKX6T · pith_short_16: MJRRK5PGKX6TBVHQ · pith_short_8: MJRRK5PG

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/MJRRK5PGKX6TBVHQJQ3FOZ4LKA \
  | 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: 62631575e655fd30d4f04c3657678b503456a0bfc8e40103b6db109d3cdf3649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2ff4ea686d93f20dae513fffb10f83b6145b449af3e4adce0d57a8cc48527a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-01T17:24:41Z",
    "title_canon_sha256": "5f3aca693c77d0ae24c1336fd97feaee7e0590309602bf629ffad6519cf5eded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00654",
    "kind": "arxiv",
    "version": 2
  }
}