Pith Number

pith:OGH3JONK

pith:2016:OGH3JONKAL54G3G27ORF5XG4GB

not attested not anchored not stored refs pending

On fractional derivatives with exponential kernel and their discrete versions

Dumitru Baleanu, Thabet Abdeljawad

arxiv:1606.07958 v1 · 2016-06-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGH3JONKAL54G3G27ORF5XG4GB}

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	2026-05-18T00:35:35.697159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

718fb4b9aa02fbc36cdafba25edcdc307d525f4e1ebde5e17df40b04787ebbd2

Aliases

arxiv: 1606.07958 · arxiv_version: 1606.07958v1 · doi: 10.48550/arxiv.1606.07958 · pith_short_12: OGH3JONKAL54 · pith_short_16: OGH3JONKAL54G3G2 · pith_short_8: OGH3JONK

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/OGH3JONKAL54G3G27ORF5XG4GB \
  | 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: 718fb4b9aa02fbc36cdafba25edcdc307d525f4e1ebde5e17df40b04787ebbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d8e3527a70af7531ad483e299751618938b83787704436a93d58bb709d1024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-25T20:12:40Z",
    "title_canon_sha256": "9560ce11893fa5973e18751d5af558b11d711e5fdd2a4c74090dbdbc3009f074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07958",
    "kind": "arxiv",
    "version": 1
  }
}