Pith Number

pith:O4F33SJU

pith:2018:O4F33SJUTCVDX2DNTORWBBAIAD

not attested not anchored not stored refs pending

Nuclearity for Fourier integral operators in $L^p$-spaces

Duv\'an Cardona

arxiv:1809.03876 v1 · 2018-09-08 · math.SP · 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{O4F33SJUTCVDX2DNTORWBBAIAD}

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	2026-05-18T00:05:57.055008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770bbdc93498aa3be86d9ba360840800f4c5f9735c582350609fc000d07879db

Aliases

arxiv: 1809.03876 · arxiv_version: 1809.03876v1 · doi: 10.48550/arxiv.1809.03876 · pith_short_12: O4F33SJUTCVD · pith_short_16: O4F33SJUTCVDX2DN · pith_short_8: O4F33SJU

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/O4F33SJUTCVDX2DNTORWBBAIAD \
  | 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: 770bbdc93498aa3be86d9ba360840800f4c5f9735c582350609fc000d07879db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06a67e52685b9d78dc85eeae6b9904afefa1cee0ae3b372b77f65d872853a0c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-09-08T20:53:51Z",
    "title_canon_sha256": "f775cefbc81b63b694d0ce857dbd6d83f82bd8a22e4db84f890cb4fa2fce8cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03876",
    "kind": "arxiv",
    "version": 1
  }
}