Pith Number

pith:HATZFT4X

pith:2021:HATZFT4XHQL2Q5NLKEXX7GQMBJ

not attested not anchored not stored refs pending

Sharp $L^p$ estimates of powers of the complex Riesz transform

Andrea Carbonaro, Oliver Dragi\v{c}evi\'c, Vjekoslav Kova\v{c}

arxiv:2109.08369 v3 · 2021-09-17 · 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{HATZFT4XHQL2Q5NLKEXX7GQMBJ}

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.

Cited by

1 paper in Pith

Cotlar martingale transforms and related singular integrals

Receipt and verification

First computed	2026-07-05T06:10:50.822621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382792cf973c17a875ab512f7f9a0c0a420705ff5f8b659cd219567e935f66e1

Aliases

arxiv: 2109.08369 · arxiv_version: 2109.08369v3 · doi: 10.48550/arxiv.2109.08369 · pith_short_12: HATZFT4XHQL2 · pith_short_16: HATZFT4XHQL2Q5NL · pith_short_8: HATZFT4X

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/HATZFT4XHQL2Q5NLKEXX7GQMBJ \
  | 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: 382792cf973c17a875ab512f7f9a0c0a420705ff5f8b659cd219567e935f66e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6de93da19a38543ac72de583c9c29ff052964c4aaf9623b8cac5d886c6bca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-09-17T06:28:04Z",
    "title_canon_sha256": "a773b0b284c5b7f2ff13bf4859f0072d57cb3e7d9ab6d8d7e46c1001fbfe6ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08369",
    "kind": "arxiv",
    "version": 3
  }
}