Pith Number

pith:VSWQM2YM

pith:2026:VSWQM2YM7XFXAO7ELWNBYUP7GO

not attested not anchored not stored refs pending

On weighted estimates for fractional operators and applications to Hardy-type inequalities

Diego Maldonado, Javier Soria

arxiv:2606.19126 v1 · 2026-06-17 · 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{VSWQM2YM7XFXAO7ELWNBYUP7GO}

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.

Cited by

1 paper in Pith

Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives

Receipt and verification

First computed	2026-06-19T16:11:57.300696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acad066b0cfdcb703be45d9a1c51ff33bd420200b3a251822b4077281ef54623

Aliases

arxiv: 2606.19126 · arxiv_version: 2606.19126v1 · doi: 10.48550/arxiv.2606.19126 · pith_short_12: VSWQM2YM7XFX · pith_short_16: VSWQM2YM7XFXAO7E · pith_short_8: VSWQM2YM

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/VSWQM2YM7XFXAO7ELWNBYUP7GO \
  | 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: acad066b0cfdcb703be45d9a1c51ff33bd420200b3a251822b4077281ef54623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5098d741ae47425df1ab5d919bab52fbdee2d118df28721c19ad57da37de785",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-17T14:37:42Z",
    "title_canon_sha256": "52a00d3f58198ecf08c5e0206d7f92b4c5955bcdbc66f6c43046d78d57936c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19126",
    "kind": "arxiv",
    "version": 1
  }
}