Pith Number

pith:W3MX3JEG

pith:2010:W3MX3JEG4E44354OL2TSQ3UFR3

not attested not anchored not stored refs pending

The Linear Bound in A_2 for Calder\'on-Zygmund Operators: A Survey

Michael T Lacey

arxiv:1011.5784 v1 · 2010-11-26 · 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{W3MX3JEG4E44354OL2TSQ3UFR3}

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	2026-05-18T04:34:38.476628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d97da486e139cdf78e5ea7286e858ed15292b8b2e7311b9929bff3f824b15d

Aliases

arxiv: 1011.5784 · arxiv_version: 1011.5784v1 · doi: 10.48550/arxiv.1011.5784 · pith_short_12: W3MX3JEG4E44 · pith_short_16: W3MX3JEG4E44354O · pith_short_8: W3MX3JEG

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/W3MX3JEG4E44354OL2TSQ3UFR3 \
  | 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: b6d97da486e139cdf78e5ea7286e858ed15292b8b2e7311b9929bff3f824b15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3dc49f857faa9afcd13aadc6b24980b68628b71e743649700e7f49ce93094e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-26T13:48:48Z",
    "title_canon_sha256": "17026df2ee21f8efb530093cbe83d4293b54c0ee310cfd1b7df95b97d6381922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5784",
    "kind": "arxiv",
    "version": 1
  }
}