Pith Number

pith:AUZFCAKI

pith:2011:AUZFCAKI72G4ZVGPPQ3NRWKYJP

not attested not anchored not stored refs pending

Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function

Dumitru Baleanu, Thabet Abdeljawad

arxiv:1102.1444 v1 · 2011-02-07 · 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{AUZFCAKI72G4ZVGPPQ3NRWKYJP}

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	2026-05-18T02:03:15.683119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0532510148fe8dccd4cf7c36d8d9584bcec9489507d5b1f1097c0ca9d9cdaf69

Aliases

arxiv: 1102.1444 · arxiv_version: 1102.1444v1 · doi: 10.48550/arxiv.1102.1444 · pith_short_12: AUZFCAKI72G4 · pith_short_16: AUZFCAKI72G4ZVGP · pith_short_8: AUZFCAKI

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/AUZFCAKI72G4ZVGPPQ3NRWKYJP \
  | 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: 0532510148fe8dccd4cf7c36d8d9584bcec9489507d5b1f1097c0ca9d9cdaf69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b685f3e4b68beb0385c90a36f16a2be8132f05ec6698be6baaa760dd0da50b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-07T21:40:07Z",
    "title_canon_sha256": "aeea0963ca3a4ee9b0db94eb733f2038865bcbd528ca4715ecaaea362493bff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1444",
    "kind": "arxiv",
    "version": 1
  }
}