Pith Number

pith:ORU3G7BX

pith:2024:ORU3G7BXSA2H4AYGAJUJ2EHTK6

not attested not anchored not stored refs pending

$L^p$-improving bounds for spherical maximal operators over restricted dilation sets: radial improvement

Shuijiang Zhao

arxiv:2412.09882 v1 · 2024-12-13 · math.CA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORU3G7BXSA2H4AYGAJUJ2EHTK6}

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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

1 paper in Pith

Problems on spherical maximal functions

Receipt and verification

First computed	2026-07-05T09:48:43.348486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7469b37c3790347e030602689d10f357970d152cb8bbd8ec3d5640d9344a269c

Aliases

arxiv: 2412.09882 · arxiv_version: 2412.09882v1 · doi: 10.48550/arxiv.2412.09882 · pith_short_12: ORU3G7BXSA2H · pith_short_16: ORU3G7BXSA2H4AYG · pith_short_8: ORU3G7BX

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/ORU3G7BXSA2H4AYGAJUJ2EHTK6 \
  | 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: 7469b37c3790347e030602689d10f357970d152cb8bbd8ec3d5640d9344a269c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97fc84151461a64451391371003d0e3cefc6aa74b37cec11f71902c3e34bf79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-13T05:51:47Z",
    "title_canon_sha256": "60b5a02c817cac74af43a6d476a0c461c2a73c7065797154884bc3bf4edb8268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09882",
    "kind": "arxiv",
    "version": 1
  }
}