Pith Number

pith:L6D3MYKJ

pith:2017:L6D3MYKJ2JLX5Q7JYTQK5EG3AI

not attested not anchored not stored refs pending

Comments on the Properties of Mittag-Leffler Function

Andrzej Horzela, Giuseppe Dattoli, Katarzyna Gorska, Rosa Maria Pidatella, Silvia Licciardi

arxiv:1707.01135 v2 · 2017-07-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6D3MYKJ2JLX5Q7JYTQK5EG3AI}

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	2026-05-18T00:08:11.261382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f87b66149d2577ec3e9c4e0ae90db0201e1d567de1cc89102d035f10c868b74

Aliases

arxiv: 1707.01135 · arxiv_version: 1707.01135v2 · doi: 10.48550/arxiv.1707.01135 · pith_short_12: L6D3MYKJ2JLX · pith_short_16: L6D3MYKJ2JLX5Q7J · pith_short_8: L6D3MYKJ

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/L6D3MYKJ2JLX5Q7JYTQK5EG3AI \
  | 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: 5f87b66149d2577ec3e9c4e0ae90db0201e1d567de1cc89102d035f10c868b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e93360fb002940141227732f436141e828c866978da2fe83fa6bd1007229dc32",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-04T19:02:56Z",
    "title_canon_sha256": "b7f3739e30aa7d646003e179f0ab9840b2fd3f8598b3cac95e4c505bb3cf43c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01135",
    "kind": "arxiv",
    "version": 2
  }
}