Pith Number

pith:5EPUXQ3L

pith:2013:5EPUXQ3LCQX33U4LBPPTPECGR2

not attested not anchored not stored refs pending

A geometric condition, necessity of energy, and two weight boundedness of fractional Riesz transforms

Chun-Yen Shen, Eric T. Sawyer, Ignacio Uriarte-Tuero

arxiv:1310.4484 v3 · 2013-10-16 · 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{5EPUXQ3LCQX33U4LBPPTPECGR2}

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	2026-05-18T02:56:19.030288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91f4bc36b142fbdd38b0bdf3790468e89a85671ef26014a66a23b862515cf62

Aliases

arxiv: 1310.4484 · arxiv_version: 1310.4484v3 · doi: 10.48550/arxiv.1310.4484 · pith_short_12: 5EPUXQ3LCQX3 · pith_short_16: 5EPUXQ3LCQX33U4L · pith_short_8: 5EPUXQ3L

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/5EPUXQ3LCQX33U4LBPPTPECGR2 \
  | 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: e91f4bc36b142fbdd38b0bdf3790468e89a85671ef26014a66a23b862515cf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6da1cec66739328901a333512aa20e91f0db67f47c2184c5938e0aff9af414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-16T19:32:10Z",
    "title_canon_sha256": "ccdc4ce76ee051ef399c8fe25470aeccc3d2bcc051ed5801ed20adf581443646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4484",
    "kind": "arxiv",
    "version": 3
  }
}