Pith Number

pith:SQPWCWWR

pith:2019:SQPWCWWRR4IOAIVQX5EHFE7GZ6

not attested not anchored not stored refs pending

Generalized substantial fractional operators and well-posedness of Cauchy problem

Hafiz Muhammad Fahad, Mujeeb ur Rehman

arxiv:1907.04538 v1 · 2019-07-10 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQPWCWWRR4IOAIVQX5EHFE7GZ6}

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	2026-05-17T23:40:59.942106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

941f615ad18f10e022b0bf487293e6cf8f762c23e6f99ae04ae5b492253c1c4f

Aliases

arxiv: 1907.04538 · arxiv_version: 1907.04538v1 · doi: 10.48550/arxiv.1907.04538 · pith_short_12: SQPWCWWRR4IO · pith_short_16: SQPWCWWRR4IOAIVQ · pith_short_8: SQPWCWWR

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/SQPWCWWRR4IOAIVQX5EHFE7GZ6 \
  | 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: 941f615ad18f10e022b0bf487293e6cf8f762c23e6f99ae04ae5b492253c1c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a9c48073459d0ae5595aaba248d5d30aaf8a3f4fabc36cc565e844839756d0d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-10T07:03:06Z",
    "title_canon_sha256": "dcf168bce8dbb2ba3387b6c4bdf4c1c688566646b626fde8169d2968aa5a517f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04538",
    "kind": "arxiv",
    "version": 1
  }
}