Pith Number

pith:5P2MNSB7

pith:2018:5P2MNSB7RS4LPJJD4MO2YR66YA

not attested not anchored not stored refs pending

Commutators of Riesz potential in the vanishing generalized weighted Morrey spaces with variable exponent

Javanshir J. Hasanov, Vagif S. Guliyev, Xayyam A. Badalov

arxiv:1812.07314 v1 · 2018-12-18 · 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{5P2MNSB7RS4LPJJD4MO2YR66YA}

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	2026-05-17T23:58:00.849590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf4c6c83f8cb8b7a523e31dac47dec03403114814424124b33517dc8900e5e3

Aliases

arxiv: 1812.07314 · arxiv_version: 1812.07314v1 · doi: 10.48550/arxiv.1812.07314 · pith_short_12: 5P2MNSB7RS4L · pith_short_16: 5P2MNSB7RS4LPJJD · pith_short_8: 5P2MNSB7

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/5P2MNSB7RS4LPJJD4MO2YR66YA \
  | 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: ebf4c6c83f8cb8b7a523e31dac47dec03403114814424124b33517dc8900e5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc37b1b7fbfc52d706a52a4929163165d74fc7d38fdc68afe697fe479b3c4e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-18T11:52:52Z",
    "title_canon_sha256": "dd8974785e3b54282e4fce7c4575a995932e8bc88b11c410128b9ffc6ea2432d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07314",
    "kind": "arxiv",
    "version": 1
  }
}