pith. sign in
Pith Number

pith:ZXPPVPMO

pith:2008:ZXPPVPMOYOBNUJFF5DPMBPLGMF
not attested not anchored not stored refs pending

Boundedness of Fourier integral operators on Fourier Lebesgue spaces and affine fibrations

Fabio Nicola

arxiv:0805.4122 v1 · 2008-05-27 · math.FA · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZXPPVPMOYOBNUJFF5DPMBPLGMF}

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 2026-05-18T02:26:53.273636Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cddefabd8ec382da24a5e8dec0bd66615efb8c97328be17d601233481d3541bd

Aliases

arxiv: 0805.4122 · arxiv_version: 0805.4122v1 · doi: 10.48550/arxiv.0805.4122 · pith_short_12: ZXPPVPMOYOBN · pith_short_16: ZXPPVPMOYOBNUJFF · pith_short_8: ZXPPVPMO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZXPPVPMOYOBNUJFF5DPMBPLGMF \
  | 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: cddefabd8ec382da24a5e8dec0bd66615efb8c97328be17d601233481d3541bd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "42345d16c8b7aaa070b7ad6ab1081c6250ad13b0dfaef469df337e9fe48006ce",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-05-27T13:53:17Z",
    "title_canon_sha256": "c683a9047beafa7ae12a51f3e6aa8a6129d98d0c04eb621d7bb628072e108373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4122",
    "kind": "arxiv",
    "version": 1
  }
}