Pith Number

pith:DJHXSH5F

pith:2018:DJHXSH5FN4UQPBLQ4GHIKOQDXU

not attested not anchored not stored refs pending

Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces

Eiichi Nakai, Minglei Shi, Ryutaro Arai

arxiv:1812.09148 v1 · 2018-12-21 · 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{DJHXSH5FN4UQPBLQ4GHIKOQDXU}

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	2026-05-17T23:57:45.218621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4f791fa56f29078570e18e853a03bd33b430b7d4c0276f38642993996b4d09

Aliases

arxiv: 1812.09148 · arxiv_version: 1812.09148v1 · doi: 10.48550/arxiv.1812.09148 · pith_short_12: DJHXSH5FN4UQ · pith_short_16: DJHXSH5FN4UQPBLQ · pith_short_8: DJHXSH5F

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/DJHXSH5FN4UQPBLQ4GHIKOQDXU \
  | 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: 1a4f791fa56f29078570e18e853a03bd33b430b7d4c0276f38642993996b4d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df72c678935488f3bfe060658e7f95676237d0c007a14e25f4378fd8d4678548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-21T14:31:14Z",
    "title_canon_sha256": "e8a08a3084c46552df0f48e67ab7fc90c25f43f57730c4aaa7fe56d69806d433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09148",
    "kind": "arxiv",
    "version": 1
  }
}