Pith Number

pith:P75KNR52

pith:2026:P75KNR52EJVTAYEGZ2SSGVIIHC

not attested not anchored not stored refs pending

A dimension-free weak-type $(1,1)$ bound for the vector Riesz transform on $\mathbb{R}^n$

Cody B. Stockdale, Daniel Spector, Yuyuan Ouyang

arxiv:2608.18068 v1 · 2026-08-18 · math.CA · math.AP

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\usepackage{pith}
\pithnumber{P75KNR52EJVTAYEGZ2SSGVIIHC}

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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

4 papers in Pith

Sharp constants for weak estimates of the Riesz Potentials

An $O(1/T^3)$ algorithm for minimizing convex quadratic functions over the $L_1$ ball

Dimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transform

A $p = 2$ dichotomy for uniform Riesz transform bounds on stratified Lie groups

Receipt and verification

First computed	2026-08-19T01:33:15.741548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffaa6c7ba226b306086cea523550838ab50ca47881fe4f4ceb877e7456c439e

Aliases

arxiv: 2608.18068 · arxiv_version: 2608.18068v1 · doi: 10.48550/arxiv.2608.18068 · pith_short_12: P75KNR52EJVT · pith_short_16: P75KNR52EJVTAYEG · pith_short_8: P75KNR52

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/P75KNR52EJVTAYEGZ2SSGVIIHC \
  | 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: 7ffaa6c7ba226b306086cea523550838ab50ca47881fe4f4ceb877e7456c439e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ef5ccb15ca95cdf33fa1fac484bcdca17ac4d6a4e5032d5e85cb4f1e619388",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-18T17:56:00Z",
    "title_canon_sha256": "4e006b9e8fc6cb5bcd9bcb83d9a66e681a3785a7dab83aaace1f87d5323c963e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.18068",
    "kind": "arxiv",
    "version": 1
  }
}