Pith Number

pith:SIZPNZH2

pith:2018:SIZPNZH2CSA4UWAWQ3VU6RVBLW

not attested not anchored not stored refs pending

Sturm Liouville Equations in the frame of fractional operators with Mittag-Leffler kernels and their discrete versions

Allan Peterson, Raziye Mert, Thabet Abdeljawad

arxiv:1803.05013 v1 · 2018-03-10 · math.CA · 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{SIZPNZH2CSA4UWAWQ3VU6RVBLW}

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	2026-05-18T00:21:02.298013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9232f6e4fa1481ca581686eb4f46a15db57a5cb65e28f0edf6fe48cef1769880

Aliases

arxiv: 1803.05013 · arxiv_version: 1803.05013v1 · doi: 10.48550/arxiv.1803.05013 · pith_short_12: SIZPNZH2CSA4 · pith_short_16: SIZPNZH2CSA4UWAW · pith_short_8: SIZPNZH2

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/SIZPNZH2CSA4UWAWQ3VU6RVBLW \
  | 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: 9232f6e4fa1481ca581686eb4f46a15db57a5cb65e28f0edf6fe48cef1769880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5567b63269dc1c362cc9981bbb1bc4d5f9e755babc1ddf19feb9dfdeaba8c85",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-10T06:59:03Z",
    "title_canon_sha256": "57c71eaa2d7750c1c40d1a52e98cd2a7ee066730c5eadd892e1b7c3fb3c7b480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05013",
    "kind": "arxiv",
    "version": 1
  }
}