Pith Number

pith:P3ZAAYDT

pith:2010:P3ZAAYDTKBB5WRZPOXKQC2JCT5

not attested not anchored not stored refs pending

Boundedness of Calder\'on-Zygmund Operators on Non-homogeneous Metric Measure Spaces

Dachun Yang, Dongyong Yang, Suile Liu, Tuomas Hyt\"onen

arxiv:1011.2937 v2 · 2010-11-12 · 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{P3ZAAYDTKBB5WRZPOXKQC2JCT5}

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	2026-05-18T04:33:04.027505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef20060735043db472f75d50169229f77f74552af08d0d7181b40699019cff9

Aliases

arxiv: 1011.2937 · arxiv_version: 1011.2937v2 · doi: 10.48550/arxiv.1011.2937 · pith_short_12: P3ZAAYDTKBB5 · pith_short_16: P3ZAAYDTKBB5WRZP · pith_short_8: P3ZAAYDT

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/P3ZAAYDTKBB5WRZPOXKQC2JCT5 \
  | 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: 7ef20060735043db472f75d50169229f77f74552af08d0d7181b40699019cff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6ee5088f24e3299fef8182e02283a651bd34bbba3fa35c7dd728db93b60d5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-12T15:05:50Z",
    "title_canon_sha256": "b0569c2a8b328ce9e600616f9e72aca8d90ab6304f0ff57b2dd7629fefdc8336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2937",
    "kind": "arxiv",
    "version": 2
  }
}