Pith Number

pith:I2QUGEB5

pith:2012:I2QUGEB57ECOUPYBOBECE64QEA

not attested not anchored not stored refs pending

Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, I

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

arxiv:1201.4319 v11 · 2012-01-20 · 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{I2QUGEB57ECOUPYBOBECE64QEA}

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	2026-05-18T01:28:21.847155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a143103df904ea3f017048227b9020263be5901042b24c76716622a6654c38

Aliases

arxiv: 1201.4319 · arxiv_version: 1201.4319v11 · doi: 10.48550/arxiv.1201.4319 · pith_short_12: I2QUGEB57ECO · pith_short_16: I2QUGEB57ECOUPYB · pith_short_8: I2QUGEB5

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/I2QUGEB57ECOUPYBOBECE64QEA \
  | 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: 46a143103df904ea3f017048227b9020263be5901042b24c76716622a6654c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbedc5e4b78553cb0b3c97268dfb458dbc0aaf5bf16a0e4e0f5cd5b8f161f90f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-20T15:29:47Z",
    "title_canon_sha256": "bcafaed1acf4670cf8e8a1aa55467442963f70cf0ce8ce589e3d24981f50fa4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4319",
    "kind": "arxiv",
    "version": 11
  }
}