Pith Number

pith:QWRE4DBK

pith:2018:QWRE4DBKEWWHF3H6YDA44WJLQI

not attested not anchored not stored refs pending

Extended Mittag-Leffler Function and truncated $\nu$-fractional derivatives

A. Ghaffar, Azeema, G. Rahman, K. S. Nisar

arxiv:1801.04995 v2 · 2018-01-03 · 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{QWRE4DBKEWWHF3H6YDA44WJLQI}

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	2026-05-18T00:24:46.908430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a24e0c2a25ac72ecfec0c1ce592b823947806ecca6855128cbf891ca6ebb6b

Aliases

arxiv: 1801.04995 · arxiv_version: 1801.04995v2 · doi: 10.48550/arxiv.1801.04995 · pith_short_12: QWRE4DBKEWWH · pith_short_16: QWRE4DBKEWWHF3H6 · pith_short_8: QWRE4DBK

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/QWRE4DBKEWWHF3H6YDA44WJLQI \
  | 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: 85a24e0c2a25ac72ecfec0c1ce592b823947806ecca6855128cbf891ca6ebb6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d60830adc95390655e60b4865d4abf0e5446cb0e73e70c6f403207349fbed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-03T14:00:39Z",
    "title_canon_sha256": "9b1dcd4ffb32d817d26dc481c26c5f05242623cb00cee3929caeb95e830590d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04995",
    "kind": "arxiv",
    "version": 2
  }
}