Pith Number

pith:C5PUDZKW

pith:2019:C5PUDZKWBE4CDMT5RASIL7CK5L

not attested not anchored not stored refs pending

Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives

Fikret A. Aliev, N.A. Aliev, N.A. Safarova

arxiv:1904.12737 v1 · 2019-04-26 · math.CA · 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{C5PUDZKWBE4CDMT5RASIL7CK5L}

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	2026-05-17T23:47:34.256642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175f41e556093821b27d882485fc4aeaeabda8cac825f93a9bb6e34d8f198d61

Aliases

arxiv: 1904.12737 · arxiv_version: 1904.12737v1 · doi: 10.48550/arxiv.1904.12737 · pith_short_12: C5PUDZKWBE4C · pith_short_16: C5PUDZKWBE4CDMT5 · pith_short_8: C5PUDZKW

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/C5PUDZKWBE4CDMT5RASIL7CK5L \
  | 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: 175f41e556093821b27d882485fc4aeaeabda8cac825f93a9bb6e34d8f198d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37318bdb604375dc02d98c6d0b2f2aa5f8d0036803e49f12d2465b8e02be50ea",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-26T06:38:53Z",
    "title_canon_sha256": "d9a5bcec8bfd5d0bd8363d1c798ebef5c833d0a055bdd9903141d5d3454a847b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12737",
    "kind": "arxiv",
    "version": 1
  }
}