Pith Number

pith:7NEE2OUZ

pith:2015:7NEE2OUZJBCLQIZDYTAZFOH3ED

not attested not anchored not stored refs pending

Some Properties of Prabhakar-type Fractional Calculus Operators

Federico Polito, Zivorad Tomovski

arxiv:1508.03224 v3 · 2015-08-13 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NEE2OUZJBCLQIZDYTAZFOH3ED}

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	2026-05-18T00:19:36.257634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb484d3a994844b82323c4c192b8fb20d5932ff770672dcef1a4bae4bdb1c03d

Aliases

arxiv: 1508.03224 · arxiv_version: 1508.03224v3 · doi: 10.48550/arxiv.1508.03224 · pith_short_12: 7NEE2OUZJBCL · pith_short_16: 7NEE2OUZJBCLQIZD · pith_short_8: 7NEE2OUZ

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/7NEE2OUZJBCLQIZDYTAZFOH3ED \
  | 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: fb484d3a994844b82323c4c192b8fb20d5932ff770672dcef1a4bae4bdb1c03d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741f5a89a9ca605ff76dedd9417a1c1868c1c5cb8716879ef3f530c411aaed88",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-13T14:20:30Z",
    "title_canon_sha256": "dc7de032ced597ed8b76d822bca016c1d8fb969c8740170fd07d40e6f9013f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03224",
    "kind": "arxiv",
    "version": 3
  }
}