Pith Number

pith:LE7QVBVW

pith:2019:LE7QVBVWOU2BBYKJLNYHN6DPCN

not attested not anchored not stored refs pending

The Calder\'on operator and the Stieltjes transform on variable Lebesgue spaces with weights

David Cruz-Uribe, Estefania Dalmasso, Francisco Martin-Reyes, Pedro Ortega Salvador

arxiv:1901.07472 v1 · 2019-01-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE7QVBVWOU2BBYKJLNYHN6DPCN}

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	2026-05-17T23:55:44.685096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

593f0a86b6753410e1495b7076f86f134440d6795c0f5ef31ec10b0dcd20a140

Aliases

arxiv: 1901.07472 · arxiv_version: 1901.07472v1 · doi: 10.48550/arxiv.1901.07472 · pith_short_12: LE7QVBVWOU2B · pith_short_16: LE7QVBVWOU2BBYKJ · pith_short_8: LE7QVBVW

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/LE7QVBVWOU2BBYKJLNYHN6DPCN \
  | 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: 593f0a86b6753410e1495b7076f86f134440d6795c0f5ef31ec10b0dcd20a140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3cf593c56903a2144ae0e65415215b21fa0ce491f6d58af3c6573fc6fea299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-22T17:15:29Z",
    "title_canon_sha256": "0f8a39f17e822d24cc3cc082fee9e6d22e8e86537e52989a4d10043ffbf760bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07472",
    "kind": "arxiv",
    "version": 1
  }
}