Pith Number

pith:GZUOSJE5

pith:2016:GZUOSJE5LQVCQB3I4A7BWK2ZDX

not attested not anchored not stored refs pending

Fractional differential equations with dependence on the Caputo-Katugampola derivative

Agnieszka B. Malinowska, Ricardo Almeida, Tatiana Odzijewicz

arxiv:1607.06913 v1 · 2016-07-23 · 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{GZUOSJE5LQVCQB3I4A7BWK2ZDX}

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	2026-05-18T01:10:35.467276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3668e9249d5c2a280768e03e1b2b591ddf09cf1f08fd95e63d3a71df8d51543d

Aliases

arxiv: 1607.06913 · arxiv_version: 1607.06913v1 · doi: 10.48550/arxiv.1607.06913 · pith_short_12: GZUOSJE5LQVC · pith_short_16: GZUOSJE5LQVCQB3I · pith_short_8: GZUOSJE5

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/GZUOSJE5LQVCQB3I4A7BWK2ZDX \
  | 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: 3668e9249d5c2a280768e03e1b2b591ddf09cf1f08fd95e63d3a71df8d51543d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b547d5a1b119c7ad91e6f568a56f5ecb1bbe99a2c091a8b2bb9026691d5cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-23T10:27:16Z",
    "title_canon_sha256": "db04db0e9e7ee2d556da8924479c86d1f5a30788da201c923d167792705bb770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06913",
    "kind": "arxiv",
    "version": 1
  }
}