Pith Number

pith:33VNBBCX

pith:2018:33VNBBCXIK3E6MKCJVLFZ5O722

not attested not anchored not stored refs pending

On new types of fractional operators and applications

Bessem Samet, Mohamed Jleli

arxiv:1803.03520 v1 · 2018-02-22 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33VNBBCXIK3E6MKCJVLFZ5O722}

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	2026-05-18T00:21:39.276945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deead0845742b64f31424d565cf5dfd69a45650e0620ba25c23ee1d3bb5bf634

Aliases

arxiv: 1803.03520 · arxiv_version: 1803.03520v1 · doi: 10.48550/arxiv.1803.03520 · pith_short_12: 33VNBBCXIK3E · pith_short_16: 33VNBBCXIK3E6MKC · pith_short_8: 33VNBBCX

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/33VNBBCXIK3E6MKCJVLFZ5O722 \
  | 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: deead0845742b64f31424d565cf5dfd69a45650e0620ba25c23ee1d3bb5bf634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2157c7ded43c1f8b842e4a68290f06656c03a05daafd99528bdb06fcd89d441",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-22T06:59:56Z",
    "title_canon_sha256": "0d37930a99d4a835cb5348305b8a219216629a077e5a0d6bc1dea9bee1dbd496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03520",
    "kind": "arxiv",
    "version": 1
  }
}