Pith Number

pith:YZGALBXK

pith:2018:YZGALBXKVSBGXS3CGXCDGA72CU

not attested not anchored not stored refs pending

On the Ulam-Hyers stabilities of {\Psi}-Hilfer fractional differential equation by means of abstract Volterra operator

E. Capelas de Oliveira, J. Vanterler da C. Sousa, Kishor D. Kucche

arxiv:1810.04209 v1 · 2018-10-09 · 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{YZGALBXKVSBGXS3CGXCDGA72CU}

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	2026-05-17T23:45:36.230246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64c0586eaac826bcb6235c43303fa150f3bcb140df12456875338065f0146c7

Aliases

arxiv: 1810.04209 · arxiv_version: 1810.04209v1 · doi: 10.48550/arxiv.1810.04209 · pith_short_12: YZGALBXKVSBG · pith_short_16: YZGALBXKVSBGXS3C · pith_short_8: YZGALBXK

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/YZGALBXKVSBGXS3CGXCDGA72CU \
  | 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: c64c0586eaac826bcb6235c43303fa150f3bcb140df12456875338065f0146c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8527aa3f3e23bacb948dbbc78a64750ee1abaf45a9e72c4ca6bc464a51d5e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-09T18:43:11Z",
    "title_canon_sha256": "e53f616d5734453e84caa71a2997329026f4f9a599b2465f107e1467c2927e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04209",
    "kind": "arxiv",
    "version": 1
  }
}