Pith Number

pith:45UNN7Z6

pith:2012:45UNN7Z6VWZG6554IXHPLTPW7D

not attested not anchored not stored refs pending

Weighted Hardy spaces associated to operators and boundedness of singular integrals

The Anh Bui, Xuan Thinh Duong

arxiv:1202.2063 v2 · 2012-02-09 · 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{45UNN7Z6VWZG6554IXHPLTPW7D}

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	2026-05-18T03:44:36.078643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e768d6ff3eadb26f77bc45cef5cdf6f8f2c8a3524ce9227ce98e5cc1fff79271

Aliases

arxiv: 1202.2063 · arxiv_version: 1202.2063v2 · doi: 10.48550/arxiv.1202.2063 · pith_short_12: 45UNN7Z6VWZG · pith_short_16: 45UNN7Z6VWZG6554 · pith_short_8: 45UNN7Z6

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/45UNN7Z6VWZG6554IXHPLTPW7D \
  | 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: e768d6ff3eadb26f77bc45cef5cdf6f8f2c8a3524ce9227ce98e5cc1fff79271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3e74b5e297f32569a6fe976f655ff3408607ac89937331764df68725f5c4b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-02-09T17:48:46Z",
    "title_canon_sha256": "e2e5209233e7467aa1a4a772d3c69e1f8f8b2fc9c4d6b4d533c188df98d6e3eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2063",
    "kind": "arxiv",
    "version": 2
  }
}