Pith Number

pith:ZN4WGFT5

pith:2018:ZN4WGFT5VTOCB3DZH4BZRGDA4X

not attested not anchored not stored refs pending

A derivative concept with respect to an arbitrary kernel and applications to fractional calculus

Bessem Samet, Mohamed Jleli, Mokhtar Kirane

arxiv:1802.02602 v2 · 2018-02-07 · 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{ZN4WGFT5VTOCB3DZH4BZRGDA4X}

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	2026-05-17T23:57:42.236247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7963167dacdc20ec793f03989860e5c527e6a9faeb56176f4947adef9010a9

Aliases

arxiv: 1802.02602 · arxiv_version: 1802.02602v2 · doi: 10.48550/arxiv.1802.02602 · pith_short_12: ZN4WGFT5VTOC · pith_short_16: ZN4WGFT5VTOCB3DZ · pith_short_8: ZN4WGFT5

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/ZN4WGFT5VTOCB3DZH4BZRGDA4X \
  | 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: cb7963167dacdc20ec793f03989860e5c527e6a9faeb56176f4947adef9010a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82076264b8d0af1d307103ac62e32e3e658066bc42e870bcf8fc4797dbffe06e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-07T19:20:02Z",
    "title_canon_sha256": "97ce0b14d274130d4f606a0b2002eb7834e7a0efb1cd74eab9f5b2cc766b3a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02602",
    "kind": "arxiv",
    "version": 2
  }
}