Pith Number

pith:OFJ4S55Q

pith:2013:OFJ4S55Q3MREYAGT2RLVMULXST

not attested not anchored not stored refs pending

Two Weight Inequalities for the Cauchy Transform from $ \mathbb{R}$ to $ \mathbb{C}_+$

Brett D. Wick, Chun-Yen Shen, Eric T. Sawyer, Ignacio Uriarte-Tuero, Michael T. Lacey

arxiv:1310.4820 v7 · 2013-10-17 · math.CV · math.CA · 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{OFJ4S55Q3MREYAGT2RLVMULXST}

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	2026-05-18T00:23:57.634136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7153c977b0db224c00d3d45756517794f78b257b41a78ac3b88a2dbce7077d33

Aliases

arxiv: 1310.4820 · arxiv_version: 1310.4820v7 · doi: 10.48550/arxiv.1310.4820 · pith_short_12: OFJ4S55Q3MRE · pith_short_16: OFJ4S55Q3MREYAGT · pith_short_8: OFJ4S55Q

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/OFJ4S55Q3MREYAGT2RLVMULXST \
  | 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: 7153c977b0db224c00d3d45756517794f78b257b41a78ac3b88a2dbce7077d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb15c5a13c508067714d57ea40c8e93d724d64daf29fceb4532553df30f3caa9",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-10-17T19:50:48Z",
    "title_canon_sha256": "dc6e5115dc1d78601331b0882b842089d8bba8ede76a3ecba8938b2d30544705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4820",
    "kind": "arxiv",
    "version": 7
  }
}