Pith Number

pith:CC5RBSTF

pith:2018:CC5RBSTF7N5F2PBHZXZROTOGCX

not attested not anchored not stored refs pending

Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions

Arran Fernandez, Dumitru Baleanu, H. M. Srivastava

arxiv:1807.10101 v1 · 2018-07-26 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CC5RBSTF7N5F2PBHZXZROTOGCX}

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	2026-05-18T00:08:05.800798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10bb10ca65fb7a5d3c27cdf3174dc615f54687ea648d9efe66f358578037100d

Aliases

arxiv: 1807.10101 · arxiv_version: 1807.10101v1 · doi: 10.48550/arxiv.1807.10101 · pith_short_12: CC5RBSTF7N5F · pith_short_16: CC5RBSTF7N5F2PBH · pith_short_8: CC5RBSTF

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/CC5RBSTF7N5F2PBHZXZROTOGCX \
  | 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: 10bb10ca65fb7a5d3c27cdf3174dc615f54687ea648d9efe66f358578037100d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3adf144a3463d36d393ade1e22119cf9a44674b007cd5d504425b04f6e36338",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-26T13:04:35Z",
    "title_canon_sha256": "56f10bc24594aa44764abeae5e852b9490983ccceeff8258f171672f8270ded3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10101",
    "kind": "arxiv",
    "version": 1
  }
}