Pith Number

pith:ZIEQXWKQ

pith:2011:ZIEQXWKQ5FOIPJO6L624LQZGYK

not attested not anchored not stored refs pending

Multivariate H\"ormander-type multiplier theorem for the Hankel transform

B{\l}a\.zej Wr\'obel, Jacek Dziuba\'nski, Marcin Preisner

arxiv:1110.2348 v2 · 2011-10-11 · 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{ZIEQXWKQ5FOIPJO6L624LQZGYK}

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	2026-05-18T04:06:07.541001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca090bd950e95c87a5de5fb5c5c326c2a21768e13d2e56bd74db3533ceb80399

Aliases

arxiv: 1110.2348 · arxiv_version: 1110.2348v2 · doi: 10.48550/arxiv.1110.2348 · pith_short_12: ZIEQXWKQ5FOI · pith_short_16: ZIEQXWKQ5FOIPJO6 · pith_short_8: ZIEQXWKQ

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/ZIEQXWKQ5FOIPJO6L624LQZGYK \
  | 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: ca090bd950e95c87a5de5fb5c5c326c2a21768e13d2e56bd74db3533ceb80399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6afd8a81be9a49fe2950e0747d34ae31be9c45efc9ced9a8ae9a20ec2955b3e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-11T12:30:02Z",
    "title_canon_sha256": "bf1b67906b25bfb38fa77c8e8beb3eefed814c96a2d4fe846b94cd39457056cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2348",
    "kind": "arxiv",
    "version": 2
  }
}