Pith Number

pith:ZDRPCYX6

pith:2018:ZDRPCYX6WOH3AFKEBYRQ3667GT

not attested not anchored not stored refs pending

Explicit expressions for higher order convolutions of Cauchy numbers

Alberto Lekuona, Jos\'e A. Adell

arxiv:1805.04486 v1 · 2018-05-11 · 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{ZDRPCYX6WOH3AFKEBYRQ3667GT}

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	2026-05-18T00:16:10.155049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e2f162feb38fb015440e230dfbdf34c3e36ae2046253855e7c5d05238e73ab

Aliases

arxiv: 1805.04486 · arxiv_version: 1805.04486v1 · doi: 10.48550/arxiv.1805.04486 · pith_short_12: ZDRPCYX6WOH3 · pith_short_16: ZDRPCYX6WOH3AFKE · pith_short_8: ZDRPCYX6

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/ZDRPCYX6WOH3AFKEBYRQ3667GT \
  | 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: c8e2f162feb38fb015440e230dfbdf34c3e36ae2046253855e7c5d05238e73ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29343d016b9131496e60ef3039279469d064da67950b35161c0b6ff411bc6b38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-11T16:46:16Z",
    "title_canon_sha256": "f3638d1dce6c0dbedd70603e5a4fbac86db3f9b02252deb8e54c062e900e9e90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04486",
    "kind": "arxiv",
    "version": 1
  }
}