Pith Number

pith:46YX3UCY

pith:2015:46YX3UCYXQVZVZKF4LXPCY4X34

not attested not anchored not stored refs pending

Riesz transforms characterizations of Hardy spaces $H^1$ for the rational Dunkl setting and multidimensional Bessel operators

Jacek Dziuba\'nski

arxiv:1503.00950 v1 · 2015-03-03 · 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{46YX3UCYXQVZVZKF4LXPCY4X34}

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	2026-05-18T02:25:48.029853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b17dd058bc2b9ae545e2eef16397df3496a3aab29af2ffd2c4f50b16dfe5a9

Aliases

arxiv: 1503.00950 · arxiv_version: 1503.00950v1 · doi: 10.48550/arxiv.1503.00950 · pith_short_12: 46YX3UCYXQVZ · pith_short_16: 46YX3UCYXQVZVZKF · pith_short_8: 46YX3UCY

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/46YX3UCYXQVZVZKF4LXPCY4X34 \
  | 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: e7b17dd058bc2b9ae545e2eef16397df3496a3aab29af2ffd2c4f50b16dfe5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22b2322deacd1f286279207629194ba046a89db3360b7ce34d80b1d5e8baf47d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-03T14:12:11Z",
    "title_canon_sha256": "ced0c0d18308621490d6ef52e17545ea8f9f4586412e70e07743886298c35948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00950",
    "kind": "arxiv",
    "version": 1
  }
}