Pith Number

pith:SRX2KULW

pith:2024:SRX2KULW3XLCXM72AKFV2XK35Y

not attested not anchored not stored refs pending

$L^p$ averages of the Fourier transform in finite fields

Jonathan M. Fraser

arxiv:2407.08589 v4 · 2024-07-11 · math.CO · 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{SRX2KULW3XLCXM72AKFV2XK35Y}

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

1 paper in Pith

A sharp point-sphere incidence bound for $(u, s)$-Salem sets

Receipt and verification

First computed	2026-05-28T01:04:06.354203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

946fa55176ddd62bb3fa028b5d5d5bee18003b4955b6390514836a82e79dfc8e

Aliases

arxiv: 2407.08589 · arxiv_version: 2407.08589v4 · doi: 10.48550/arxiv.2407.08589 · pith_short_12: SRX2KULW3XLC · pith_short_16: SRX2KULW3XLCXM72 · pith_short_8: SRX2KULW

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/SRX2KULW3XLCXM72AKFV2XK35Y \
  | 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: 946fa55176ddd62bb3fa028b5d5d5bee18003b4955b6390514836a82e79dfc8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd85e9c415ef3582b9c6c83cc39951a0539b35f9defb0dbab957524221acb155",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-11T15:13:15Z",
    "title_canon_sha256": "ea3fc66bc2e2eaa274c8131bb533d6ca33feb98c541d8bec1ff3304245f264e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08589",
    "kind": "arxiv",
    "version": 4
  }
}