Pith Number

pith:KNELDZY2

pith:2023:KNELDZY2D3U5CBNM6XKNFC4X2P

not attested not anchored not stored refs pending

A new class of multiple nonlocal problems with two parameters and variable-order fractional $p(\cdot)$-Laplacian

Lamine Mbarki, Mohamed Karim Hamdani, Mostafa Allaoui

arxiv:2309.04879 v1 · 2023-09-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNELDZY2D3U5CBNM6XKNFC4X2P}

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	2026-07-05T06:49:28.183576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5348b1e71a1ee9d105acf5d4d28b97d3fae5bfec3333b3b2d5fa07c003f00c3c

Aliases

arxiv: 2309.04879 · arxiv_version: 2309.04879v1 · doi: 10.48550/arxiv.2309.04879 · pith_short_12: KNELDZY2D3U5 · pith_short_16: KNELDZY2D3U5CBNM · pith_short_8: KNELDZY2

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/KNELDZY2D3U5CBNM6XKNFC4X2P \
  | 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: 5348b1e71a1ee9d105acf5d4d28b97d3fae5bfec3333b3b2d5fa07c003f00c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93357debc3d564baae0449518bf87f238802e2b6fa678b73de4fe1b58e18b666",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-09-09T21:50:58Z",
    "title_canon_sha256": "5154841d7056bb5b3ab6cca40ce3f1bf8da4af3f2b0bb8c6b858e157abe86ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04879",
    "kind": "arxiv",
    "version": 1
  }
}