Pith Number

pith:4RZQGYGD

pith:2018:4RZQGYGDKD4G6B4TQ2POIVNGFB

not attested not anchored not stored refs pending

A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz-Morrey spaces on spaces of homogeneous type

Fatih Deringoz, Vagif S. Guliyev

arxiv:1804.08718 v1 · 2018-04-23 · 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{4RZQGYGDKD4G6B4TQ2POIVNGFB}

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	2026-05-18T00:17:46.837531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4730360c350f86f0793869ee455a6285ca4d21647732707dda7ff780731fb39

Aliases

arxiv: 1804.08718 · arxiv_version: 1804.08718v1 · doi: 10.48550/arxiv.1804.08718 · pith_short_12: 4RZQGYGDKD4G · pith_short_16: 4RZQGYGDKD4G6B4T · pith_short_8: 4RZQGYGD

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/4RZQGYGDKD4G6B4TQ2POIVNGFB \
  | 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: e4730360c350f86f0793869ee455a6285ca4d21647732707dda7ff780731fb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550d956f424e5a46458895b758b3d8be14c9abcde3ae122960372305b36d5b8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-23T20:20:49Z",
    "title_canon_sha256": "eb4010ef6c741fec021e021c11c46c0bbbf6129b3372887fd9dec8a07b38ff20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08718",
    "kind": "arxiv",
    "version": 1
  }
}