Pith Number

pith:C5QMLEOM

pith:2026:C5QMLEOM6IPVFXTXKGA4UIKYHV

not attested not anchored not stored refs pending

Existence of maximizers for $L^p$ Fourier extension from the hyperbolic paraboloid

Benjamin Bruce, Betsy Stovall, Diogo Oliveira e Silva

arxiv:2607.13181 v1 · 2026-07-14 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5QMLEOM6IPVFXTXKGA4UIKYHV}

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.

Receipt and verification

First computed	2026-07-16T00:22:01.580674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1760c591ccf21f52de775181ca21583d6cf4b2e9bfc667fe8d7b164f6520f4c0

Aliases

arxiv: 2607.13181 · arxiv_version: 2607.13181v1 · doi: 10.48550/arxiv.2607.13181 · pith_short_12: C5QMLEOM6IPV · pith_short_16: C5QMLEOM6IPVFXTX · pith_short_8: C5QMLEOM

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/C5QMLEOM6IPVFXTXKGA4UIKYHV \
  | 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: 1760c591ccf21f52de775181ca21583d6cf4b2e9bfc667fe8d7b164f6520f4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a27f5b182945a6674dfa2b991dbc0d98fc1e320e2ac8e148d05ab63b91b9097",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-14T18:31:36Z",
    "title_canon_sha256": "ac68aaf1cb087de417271b4f7b72fcd2e6f00859a8c89d95f7ee8afd48e2bd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13181",
    "kind": "arxiv",
    "version": 1
  }
}