Pith Number

pith:XZ45Q2A4

pith:2017:XZ45Q2A4M5IMBMSE65WDPRCJ5I

not attested not anchored not stored refs pending

Generalized Ces\`aro operators, fractional finite differences and Gamma functions

Luciano Abadia, Pedro J. Miana

arxiv:1704.06859 v1 · 2017-04-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ45Q2A4M5IMBMSE65WDPRCJ5I}

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	2026-05-18T00:45:55.561642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be79d8681c6750c0b244f76c37c449ea04c112d22c61c4ae271fc727834fbbf9

Aliases

arxiv: 1704.06859 · arxiv_version: 1704.06859v1 · doi: 10.48550/arxiv.1704.06859 · pith_short_12: XZ45Q2A4M5IM · pith_short_16: XZ45Q2A4M5IMBMSE · pith_short_8: XZ45Q2A4

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/XZ45Q2A4M5IMBMSE65WDPRCJ5I \
  | 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: be79d8681c6750c0b244f76c37c449ea04c112d22c61c4ae271fc727834fbbf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3858d55cebcc97ae740b55e3843cfa9037a749fa1ba85ceaa73c5f03a8885a23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-23T00:02:53Z",
    "title_canon_sha256": "db49ddb9ffcb659aa497386d0c36e3391936d244c5bf74c1305b34b70af8a6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06859",
    "kind": "arxiv",
    "version": 1
  }
}