Pith Number

pith:P4P5MWMA

pith:2010:P4P5MWMAWIC4MF2OGZJ3WDTPQH

not attested not anchored not stored refs pending

A Two Weight Inequality for the Hilbert transform Assuming an Energy Hypothesis

Eric T. Sawyer, Ignacio Uriarte-Tuero, Michael T. Lacey

arxiv:1001.4043 v7 · 2010-01-22 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4P5MWMAWIC4MF2OGZJ3WDTPQH}

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	2026-05-18T04:26:43.736112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1fd65980b205c6174e3653bb0e6f81e3dd33f0fe7f935c89953585e4e95742

Aliases

arxiv: 1001.4043 · arxiv_version: 1001.4043v7 · doi: 10.48550/arxiv.1001.4043 · pith_short_12: P4P5MWMAWIC4 · pith_short_16: P4P5MWMAWIC4MF2O · pith_short_8: P4P5MWMA

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/P4P5MWMAWIC4MF2OGZJ3WDTPQH \
  | 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: 7f1fd65980b205c6174e3653bb0e6f81e3dd33f0fe7f935c89953585e4e95742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a25504fe6b2b98a7884c61c5d5c0b82fce64ff14be779c8e9c99078702ee02",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-01-22T17:12:55Z",
    "title_canon_sha256": "300a6d1c655dffb04db32ce83cc7b79ff788734684a9aad81d35585eb90f1928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4043",
    "kind": "arxiv",
    "version": 7
  }
}