Pith Number

pith:ZGOCZKQZ

pith:2025:ZGOCZKQZ7FA5ZPYM6IXERILE4Y

not attested not anchored not stored refs pending

Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions

Donggeun Ryou, Kyle Hambrook, Robert Fraser

arxiv:2505.19526 v1 · 2025-05-26 · math.CA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGOCZKQZ7FA5ZPYM6IXERILE4Y}

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

2 papers in Pith

Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas

Sharpness of convolution bounds for measures

Receipt and verification

First computed	2026-07-05T11:09:31.778307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99c2caa19f941dcbf0cf22e48a164e60c978d978a956e10adcd2a62893c6123

Aliases

arxiv: 2505.19526 · arxiv_version: 2505.19526v1 · doi: 10.48550/arxiv.2505.19526 · pith_short_12: ZGOCZKQZ7FA5 · pith_short_16: ZGOCZKQZ7FA5ZPYM · pith_short_8: ZGOCZKQZ

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/ZGOCZKQZ7FA5ZPYM6IXERILE4Y \
  | 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: c99c2caa19f941dcbf0cf22e48a164e60c978d978a956e10adcd2a62893c6123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad03b7126d58053aac856d0b29aa642be67b606b25202b1b450a48b741850663",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-26T05:25:47Z",
    "title_canon_sha256": "70432ac0c3a01225baf8b99868d7b8d05a1eaa6b1ce9be3578c5bb0a04337190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19526",
    "kind": "arxiv",
    "version": 1
  }
}