Pith Number

pith:WILEYHMF

pith:2025:WILEYHMFYHCXCQILRR55GEVZIR

not attested not anchored not stored refs pending

On the dimension-free control of higher order truncated Riesz transforms by higher order Riesz transforms

B{\l}a\.zej Wr\'obel, Maciej Kucharski, Mateusz Kwa\'snicki

arxiv:2507.17510 v2 · 2025-07-23 · math.CA · 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{WILEYHMFYHCXCQILRR55GEVZIR}

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	2026-05-22T01:03:44.441658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2164c1d85c1c571410b8c7bd312b94465bc2241eb2e6ce9eb5fd36730a76546

Aliases

arxiv: 2507.17510 · arxiv_version: 2507.17510v2 · doi: 10.48550/arxiv.2507.17510 · pith_short_12: WILEYHMFYHCX · pith_short_16: WILEYHMFYHCXCQIL · pith_short_8: WILEYHMF

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/WILEYHMFYHCXCQILRR55GEVZIR \
  | 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: b2164c1d85c1c571410b8c7bd312b94465bc2241eb2e6ce9eb5fd36730a76546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "955c4db566c8844bf0cfecce224c963729791c6f1151144ff45330228ed1eb6d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-23T13:48:42Z",
    "title_canon_sha256": "8625fe66c7798dd6e0234aa82e67687a9de7e442e37f137be6cbbab5253edb94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17510",
    "kind": "arxiv",
    "version": 2
  }
}