Pith Number

pith:VBWHJ5EO

pith:2009:VBWHJ5EOQ25EYEF3QQMOPA76GI

not attested not anchored not stored refs pending

Riesz transform characterization of Hardy spaces associated with Schr\"odinger operators with compactly supported potentials

Jacek Dziuba\'nski, Marcin Preisner

arxiv:0910.1017 v1 · 2009-10-06 · 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{VBWHJ5EOQ25EYEF3QQMOPA76GI}

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	2026-05-18T04:31:41.500414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86c74f48e86ba4c10bb8418e783fe32305d68a116c6e866fdc2ff04f19c7a23

Aliases

arxiv: 0910.1017 · arxiv_version: 0910.1017v1 · doi: 10.48550/arxiv.0910.1017 · pith_short_12: VBWHJ5EOQ25E · pith_short_16: VBWHJ5EOQ25EYEF3 · pith_short_8: VBWHJ5EO

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/VBWHJ5EOQ25EYEF3QQMOPA76GI \
  | 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: a86c74f48e86ba4c10bb8418e783fe32305d68a116c6e866fdc2ff04f19c7a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b197425247601959f4bee1d8f63a0f30a895b87cdfbc697f64c914f55d8da06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-10-06T14:25:29Z",
    "title_canon_sha256": "8a823e46f77e79c5dc8510e0a5e989a9937d0e4082f5407fa2c0dbf577f6594d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1017",
    "kind": "arxiv",
    "version": 1
  }
}