Pith Number

pith:7J3YZ5UN

pith:2026:7J3YZ5UNOKXAABUU7I76DERIET

not attested not anchored not stored refs pending

Knapp-type obstructions in multilinear fractal Fourier extension

Ana E. de Orellana, Itamar Oliveira

arxiv:2602.08568 v3 · 2026-02-09 · math.CA · math.FA · 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{7J3YZ5UNOKXAABUU7I76DERIET}

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

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

Receipt and verification

First computed	2026-07-30T01:19:31.601502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

fa778cf68d72ae000694fa3fe1922824d563d12f314109859c37377b26b4639d

Aliases

arxiv: 2602.08568 · arxiv_version: 2602.08568v3 · doi: 10.48550/arxiv.2602.08568 · pith_short_12: 7J3YZ5UNOKXA · pith_short_16: 7J3YZ5UNOKXAABUU · pith_short_8: 7J3YZ5UN

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/7J3YZ5UNOKXAABUU7I76DERIET \
  | 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: fa778cf68d72ae000694fa3fe1922824d563d12f314109859c37377b26b4639d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1495b04b7a63a0a58f72bff99d07c4a810458ab5816c55cd9a8b1d451e2ea24",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-02-09T12:06:42Z",
    "title_canon_sha256": "055ece2fb27e43e6c4208b5840ed0fdd68056b6067553c39080fa620729a4a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08568",
    "kind": "arxiv",
    "version": 3
  }
}