Pith Number

pith:2FBLNTC7

pith:2022:2FBLNTC7NUNS674Z4ZPG2ZJEIY

not attested not anchored not stored refs pending

Asymptotic behavior of $L^p$ estimates for a class of multipliers with homogeneous unimodular symbols

Aleksandar Bulj, Vjekoslav Kova\v{c}

arxiv:2203.04035 v3 · 2022-03-08 · math.CA · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FBLNTC7NUNS674Z4ZPG2ZJEIY}

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	2026-07-05T06:06:39.155516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d142b6cc5f6d1b2f7f99e65e6d65244627ee87cd80e8279576b8c2e4934a862b

Aliases

arxiv: 2203.04035 · arxiv_version: 2203.04035v3 · doi: 10.48550/arxiv.2203.04035 · pith_short_12: 2FBLNTC7NUNS · pith_short_16: 2FBLNTC7NUNS674Z · pith_short_8: 2FBLNTC7

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/2FBLNTC7NUNS674Z4ZPG2ZJEIY \
  | 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: d142b6cc5f6d1b2f7f99e65e6d65244627ee87cd80e8279576b8c2e4934a862b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6999e11a07c106142d7b8f15558a8196d71b479c42c53b6ff069ac7389cb1b0c",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-03-08T12:06:08Z",
    "title_canon_sha256": "ae0f84e2513a3beb88954c19680d9ae2ea5c014172398498f8e2482d9abd152c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.04035",
    "kind": "arxiv",
    "version": 3
  }
}