Pith Number

pith:JPL4VQJL

pith:2011:JPL4VQJLMYSXYF7WQHSMNAAPBT

not attested not anchored not stored refs pending

The Two Weight Inequality for Hilbert Transform, Coronas, and Energy Conditions

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

arxiv:1108.2319 v1 · 2011-08-11 · 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{JPL4VQJLMYSXYF7WQHSMNAAPBT}

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	2026-05-18T04:15:38.109536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd7cac12b66257c17f681e4c6800f0cf17b6f09045770766bf6d8652909fc9a

Aliases

arxiv: 1108.2319 · arxiv_version: 1108.2319v1 · doi: 10.48550/arxiv.1108.2319 · pith_short_12: JPL4VQJLMYSX · pith_short_16: JPL4VQJLMYSXYF7W · pith_short_8: JPL4VQJL

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/JPL4VQJLMYSXYF7WQHSMNAAPBT \
  | 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: 4bd7cac12b66257c17f681e4c6800f0cf17b6f09045770766bf6d8652909fc9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641400292b77a45215c7cb92f674cf0790e8d66dd93873a30109debd289248c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-11T01:46:53Z",
    "title_canon_sha256": "29494231a5b0f698dc1374c1ac98f395f47973387b27f01e632124a34c8be8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2319",
    "kind": "arxiv",
    "version": 1
  }
}