Pith Number

pith:XOLYGJVF

pith:2024:XOLYGJVFYIYAFR7GLVQDFWSCB2

not attested not anchored not stored refs pending

Fourier decay of product measures

Jonathan M. Fraser

arxiv:2405.05878 v2 · 2024-05-09 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOLYGJVFYIYAFR7GLVQDFWSCB2}

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

4 papers in Pith

Quantitative flatness and obstructions in Fourier analysis

Hausdorff measure and Fourier dimensions of limsup sets arising in weighted and multiplicative Diophantine approximation

Fourier analytic variants of the Furstenberg and Kakeya problems

On Fourier decay and the distance set problem

Receipt and verification

First computed	2026-07-05T08:24:42.446395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb978326a5c23002c7e65d6032da420e9af8e7c5ef5fbd15aca9a1b4ff4686fb

Aliases

arxiv: 2405.05878 · arxiv_version: 2405.05878v2 · doi: 10.48550/arxiv.2405.05878 · pith_short_12: XOLYGJVFYIYA · pith_short_16: XOLYGJVFYIYAFR7G · pith_short_8: XOLYGJVF

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/XOLYGJVFYIYAFR7GLVQDFWSCB2 \
  | 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: bb978326a5c23002c7e65d6032da420e9af8e7c5ef5fbd15aca9a1b4ff4686fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0fbf3c753496f740024712b862895005dc73b4fcd31062d5cb52eb0b56e136",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-05-09T16:05:34Z",
    "title_canon_sha256": "829278bb84e30226f73cb65de11ecf1d3fe6cd8120eff994d747c0429a907b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05878",
    "kind": "arxiv",
    "version": 2
  }
}