Pith Number

pith:ZHO7376H

pith:2017:ZHO7376HNUFXKMGS3AKMJZ7IHQ

not attested not anchored not stored refs pending

The Prabhakar or three parameter Mittag--Leffler function: theory and application

Roberto Garra, Roberto Garrappa

arxiv:1708.07298 v2 · 2017-08-24 · 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{ZHO7376HNUFXKMGS3AKMJZ7IHQ}

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	2026-05-18T00:33:06.296254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ddfdffc76d0b7530d2d814c4e7e83c1b3f8f08e17ca6702a4103d57a3dbf3a

Aliases

arxiv: 1708.07298 · arxiv_version: 1708.07298v2 · doi: 10.48550/arxiv.1708.07298 · pith_short_12: ZHO7376HNUFX · pith_short_16: ZHO7376HNUFXKMGS · pith_short_8: ZHO7376H

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/ZHO7376HNUFXKMGS3AKMJZ7IHQ \
  | 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: c9ddfdffc76d0b7530d2d814c4e7e83c1b3f8f08e17ca6702a4103d57a3dbf3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ac27ebdd2d229c16dec1863ee1a757d3f84ecf393566515a166396a2a27add",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-24T07:56:28Z",
    "title_canon_sha256": "638338180b4e10b642eb897db800a336a54c4a31e204341f8fcb32f2d27bde67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07298",
    "kind": "arxiv",
    "version": 2
  }
}