Pith Number

pith:TDBQZWDY

pith:2012:TDBQZWDYACZIPKOJYKG7MQJ7SJ

not attested not anchored not stored refs pending

A simple proof of the sharp weighted estimate for Calderon-Zygmund operators on homogeneous spaces

Armen Vagharshakyan, Theresa C. Anderson

arxiv:1206.2489 v1 · 2012-06-12 · 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{TDBQZWDYACZIPKOJYKG7MQJ7SJ}

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	2026-05-18T03:53:44.302727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c30cd87800b287a9c9c28df6413f925fd61454424bf60cebad07badf870aef

Aliases

arxiv: 1206.2489 · arxiv_version: 1206.2489v1 · doi: 10.48550/arxiv.1206.2489 · pith_short_12: TDBQZWDYACZI · pith_short_16: TDBQZWDYACZIPKOJ · pith_short_8: TDBQZWDY

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/TDBQZWDYACZIPKOJYKG7MQJ7SJ \
  | 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: 98c30cd87800b287a9c9c28df6413f925fd61454424bf60cebad07badf870aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "019bce27f10bbda93e0ea629cef68748bfd0900b21c231758a069ea8559ebf71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-12T11:14:52Z",
    "title_canon_sha256": "d207fccffab4d52767966b08fc4a7dc0fa2bb8873ddc9ec5517389ab640b7db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2489",
    "kind": "arxiv",
    "version": 1
  }
}