Pith Number

pith:SFW4NXAX

pith:2011:SFW4NXAXR6RBSDG3RRP3IPR4ZH

not attested not anchored not stored refs pending

A Quantum Generalized Mittag-Leffler Function Via Caputo q-Fractional Equations

Bet\"ul Benli, Thabet Abdeljawad

arxiv:1102.1585 v1 · 2011-02-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFW4NXAXR6RBSDG3RRP3IPR4ZH}

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	2026-05-18T04:29:52.912572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

916dc6dc178fa2190cdb8c5fb43e3cc9edcdbad1e5e5e44a85474551b41602ea

Aliases

arxiv: 1102.1585 · arxiv_version: 1102.1585v1 · doi: 10.48550/arxiv.1102.1585 · pith_short_12: SFW4NXAXR6RB · pith_short_16: SFW4NXAXR6RBSDG3 · pith_short_8: SFW4NXAX

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/SFW4NXAXR6RBSDG3RRP3IPR4ZH \
  | 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: 916dc6dc178fa2190cdb8c5fb43e3cc9edcdbad1e5e5e44a85474551b41602ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c25e41f1c307b23ab831098caa82d83ae0d58eaf3cc8fc526ec991a407c293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-08T12:25:01Z",
    "title_canon_sha256": "6351db568a9a38219325f58241798dfca02fc8aa759e8163e969b5af99843640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1585",
    "kind": "arxiv",
    "version": 1
  }
}