Pith Number

pith:HF4A5IMF

pith:2023:HF4A5IMFO3X4YXRRTXD4J2OVOU

not attested not anchored not stored refs pending

A degenerate Kirchhoff-type problem involving variable $s(\cdot)$-order fractional $p(\cdot)$-Laplacian with weights

Lamine Mbarki, Mohamed Karim Hamdani, Mostafa Allaoui

arxiv:2308.08007 v1 · 2023-08-15 · 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{HF4A5IMFO3X4YXRRTXD4J2OVOU}

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	2026-07-05T06:41:52.987580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39780ea18576efcc5e319dc7c4e9d5752ddfd3f454ddfc6d43334f6acf81a82e

Aliases

arxiv: 2308.08007 · arxiv_version: 2308.08007v1 · doi: 10.48550/arxiv.2308.08007 · pith_short_12: HF4A5IMFO3X4 · pith_short_16: HF4A5IMFO3X4YXRR · pith_short_8: HF4A5IMF

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/HF4A5IMFO3X4YXRRTXD4J2OVOU \
  | 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: 39780ea18576efcc5e319dc7c4e9d5752ddfd3f454ddfc6d43334f6acf81a82e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22be92a43bce7d526d892c86df0bdaa80152f7ca72d967a4ec9da2ada0272a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-15T19:45:23Z",
    "title_canon_sha256": "2ed26015ab5c0af1f248273be1f2e9612136bf2167271bceaf7eef1f74a5f02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.08007",
    "kind": "arxiv",
    "version": 1
  }
}