Pith Number

pith:OQ7PHOC5

pith:2013:OQ7PHOC5OJ2YY6GZ4A4GNK4QBQ

not attested not anchored not stored refs pending

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

Michael T Lacey

arxiv:1301.4663 v5 · 2013-01-20 · 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{OQ7PHOC5OJ2YY6GZ4A4GNK4QBQ}

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	2026-05-18T01:28:15.415584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743ef3b85d72758c78d9e03866ab900c059b2bb8feed0754e7258234ac9dce89

Aliases

arxiv: 1301.4663 · arxiv_version: 1301.4663v5 · doi: 10.48550/arxiv.1301.4663 · pith_short_12: OQ7PHOC5OJ2Y · pith_short_16: OQ7PHOC5OJ2YY6GZ · pith_short_8: OQ7PHOC5

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/OQ7PHOC5OJ2YY6GZ4A4GNK4QBQ \
  | 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: 743ef3b85d72758c78d9e03866ab900c059b2bb8feed0754e7258234ac9dce89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2fb32b86d0c74c62a8f4e1e0fff7f566eadd53dc485a1bb9631875a0a83d7f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-20T14:44:44Z",
    "title_canon_sha256": "27216a4949f9c8971220de8805c8d8d7c413a5c93b4dd18e21114ace56cff665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4663",
    "kind": "arxiv",
    "version": 5
  }
}