Pith Number

pith:IOUK5BIO

pith:2009:IOUK5BIOCBYGCDRAPOKJ7APUVL

not attested not anchored not stored refs pending

Bergman-type Singular Operators and the Characterization of Carleson Measures for Besov--Sobolev Spaces on the Complex Ball

Alexander Volberg, Brett D. Wick

arxiv:0910.1142 v3 · 2009-10-07 · math.CV · 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{IOUK5BIOCBYGCDRAPOKJ7APUVL}

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	2026-05-18T03:49:33.084452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a8ae850e1070610e207b949f81f4aadc7112b8fdfaaeb444f2b4c8e57b3e6e

Aliases

arxiv: 0910.1142 · arxiv_version: 0910.1142v3 · doi: 10.48550/arxiv.0910.1142 · pith_short_12: IOUK5BIOCBYG · pith_short_16: IOUK5BIOCBYGCDRA · pith_short_8: IOUK5BIO

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/IOUK5BIOCBYGCDRAPOKJ7APUVL \
  | 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: 43a8ae850e1070610e207b949f81f4aadc7112b8fdfaaeb444f2b4c8e57b3e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a486597deda73ebe163e372c5094599a8a6638c23c89031c2a5b50bf59deb1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-10-07T01:01:11Z",
    "title_canon_sha256": "83f1aa0cb98f9e50a3aa744caba50b8620ec3892b0337358c15748fb3d26ff41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1142",
    "kind": "arxiv",
    "version": 3
  }
}