Pith Number

pith:JPOBB6PF

pith:2024:JPOBB6PFASI6PQWNSRG33YPK5E

not attested not anchored not stored refs pending

Necessary conditions for the boundedness of fractional operators on variable Lebesgue spaces

David Cruz-Uribe, Troy Roberts

arxiv:2408.12745 v1 · 2024-08-22 · 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{JPOBB6PFASI6PQWNSRG33YPK5E}

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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

2 papers in Pith

Bounds for the maximal and Riesz potential operators with variable fractionality

Variable Muckenhoupt $A_\infty$ Weights

Receipt and verification

First computed	2026-07-05T08:58:29.586933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bdc10f9e50491e7c2cd944dbde1eae93d9f110035cf085d2fbfd5aafb29191f

Aliases

arxiv: 2408.12745 · arxiv_version: 2408.12745v1 · doi: 10.48550/arxiv.2408.12745 · pith_short_12: JPOBB6PFASI6 · pith_short_16: JPOBB6PFASI6PQWN · pith_short_8: JPOBB6PF

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/JPOBB6PFASI6PQWNSRG33YPK5E \
  | 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: 4bdc10f9e50491e7c2cd944dbde1eae93d9f110035cf085d2fbfd5aafb29191f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d821556cb36777c79baa323e6d462bcba1dc96ac537ac55b7c2c3408e657e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-08-22T22:02:44Z",
    "title_canon_sha256": "abc30c50713d893fa73a025652c336ab60b4a8ef7abfa4dd7c67b1e4faf13007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12745",
    "kind": "arxiv",
    "version": 1
  }
}