pith. sign in
Pith Number

pith:DS23CPTV

pith:2018:DS23CPTVXQBKT5I3GBJRKXY5SJ
not attested not anchored not stored refs pending

Transformation Mittag-Lefler function to an exponential function and its some applications to problems with a fractional derivative

Fikret A. Aliev, K.G. Gasimova, N.A. Aliev, N.A. Safarova.

arxiv:1804.02928 v1 · 2018-04-09 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DS23CPTVXQBKT5I3GBJRKXY5SJ}

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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 2026-05-18T00:18:57.925303Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1cb5b13e75bc02a9f51b3053155f1d926610d5e43844ea03ae72c5fe89b78648

Aliases

arxiv: 1804.02928 · arxiv_version: 1804.02928v1 · doi: 10.48550/arxiv.1804.02928 · pith_short_12: DS23CPTVXQBK · pith_short_16: DS23CPTVXQBKT5I3 · pith_short_8: DS23CPTV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DS23CPTVXQBKT5I3GBJRKXY5SJ \
  | 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: 1cb5b13e75bc02a9f51b3053155f1d926610d5e43844ea03ae72c5fe89b78648
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "09986680e5f82d09853f034fab81c03bd270c4abff3ade675f2e15305dafb4a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-09T11:54:55Z",
    "title_canon_sha256": "26eed8fb7e561a7a2e53705272798a4c72d7d64ceb4c1101c1da2eb73879ec66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02928",
    "kind": "arxiv",
    "version": 1
  }
}