Pith Number

pith:IZXQ2KBJ

pith:2010:IZXQ2KBJUF63LNRU64DXLRVA5L

not attested not anchored not stored refs pending

Weak and Strong type $ A_p$ Estimates for Calder\'on-Zygmund Operators

Armen Vagharshakyan, Eric T. Sawyer, Ignacio Uriarte-Tuero, Maria Carmen Reguera, Michael T. Lacey, Tuomas P. Hyt\"onen

arxiv:1006.2530 v3 · 2010-06-13 · 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{IZXQ2KBJUF63LNRU64DXLRVA5L}

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	2026-05-18T04:25:37.849377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466f0d2829a17db5b634f70775c6a0eadda0f74b307818cec6ce9dd5c75dbc9d

Aliases

arxiv: 1006.2530 · arxiv_version: 1006.2530v3 · doi: 10.48550/arxiv.1006.2530 · pith_short_12: IZXQ2KBJUF63 · pith_short_16: IZXQ2KBJUF63LNRU · pith_short_8: IZXQ2KBJ

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/IZXQ2KBJUF63LNRU64DXLRVA5L \
  | 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: 466f0d2829a17db5b634f70775c6a0eadda0f74b307818cec6ce9dd5c75dbc9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15a1f37b7070e3f42d777124a01cd518be4f1adf1704c8f807b52812eb42311",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-06-13T12:18:37Z",
    "title_canon_sha256": "61e2e85757a9f65364ee5f076ace52f5d413a55b9dc72e0846ed160bf1e916e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2530",
    "kind": "arxiv",
    "version": 3
  }
}