Pith Number

pith:IDDE2ZDJ

pith:2018:IDDE2ZDJWMFWP53RERIGV7D2YQ

not attested not anchored not stored refs pending

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

Eiichi Nakai, Fatih Deringoz, Minglei Shi, Vagif S. Guliyev, Yoshihiro Sawano

arxiv:1812.03649 v1 · 2018-12-10 · 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{IDDE2ZDJWMFWP53RERIGV7D2YQ}

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	2026-05-17T23:58:44.234017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c64d6469b30b67f77124506afc7ac42897a357a8811462949fe91554856481

Aliases

arxiv: 1812.03649 · arxiv_version: 1812.03649v1 · doi: 10.48550/arxiv.1812.03649 · pith_short_12: IDDE2ZDJWMFW · pith_short_16: IDDE2ZDJWMFWP53R · pith_short_8: IDDE2ZDJ

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/IDDE2ZDJWMFWP53RERIGV7D2YQ \
  | 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: 40c64d6469b30b67f77124506afc7ac42897a357a8811462949fe91554856481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e285b55de48fd1b45ebbc3a86aa773666700500719a07f0a0cac53afb58133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-10T07:03:09Z",
    "title_canon_sha256": "94db6409d76d2cd29a3648928e8ca4ada12fbea42ab53425e50dd8018104a86c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03649",
    "kind": "arxiv",
    "version": 1
  }
}