Pith Number

pith:V7FOYQQT

pith:2010:V7FOYQQTILZPXFO3PLIYJTFBSM

not attested not anchored not stored refs pending

Hardy spaces, Regularized BMO spaces and the boundedness of Calder\'on-Zygmund operators on non-homogeneous spaces

The Anh Bui, Xuan Thinh Duong

arxiv:1009.1274 v3 · 2010-09-07 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7FOYQQTILZPXFO3PLIYJTFBSM}

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	2026-05-18T04:14:38.124473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afcaec421342f2fb95db7ad184cca1930bd7af7df742ca44023081bd89bc3d7a

Aliases

arxiv: 1009.1274 · arxiv_version: 1009.1274v3 · doi: 10.48550/arxiv.1009.1274 · pith_short_12: V7FOYQQTILZP · pith_short_16: V7FOYQQTILZPXFO3 · pith_short_8: V7FOYQQT

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/V7FOYQQTILZPXFO3PLIYJTFBSM \
  | 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: afcaec421342f2fb95db7ad184cca1930bd7af7df742ca44023081bd89bc3d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea61ac1ef0c8d0ab6aae0049a4b3a3e37b07a306d1d403df5ce1223150984711",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-07T12:48:41Z",
    "title_canon_sha256": "5cd8006e1a6c3144c1f8e554e8a1f37e7b3f59288b56ab84893977af3f8336ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1274",
    "kind": "arxiv",
    "version": 3
  }
}