Pith Number

pith:4FUWQI4H

pith:2012:4FUWQI4HNUCA7JMLVXW3DEYSSO

not attested not anchored not stored refs pending

The Wiener Property for a Class of Fourier Integral Operators

Elena Cordero, Fabio Nicola, Karlheinz Gr\"ochenig, Luigi Rodino

arxiv:1201.4079 v1 · 2012-01-19 · math.FA · 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{4FUWQI4HNUCA7JMLVXW3DEYSSO}

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	2026-05-18T02:47:31.785608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1696823876d040fa58badedb193129381aebc9162c2394986d099c38ce7b207

Aliases

arxiv: 1201.4079 · arxiv_version: 1201.4079v1 · doi: 10.48550/arxiv.1201.4079 · pith_short_12: 4FUWQI4HNUCA · pith_short_16: 4FUWQI4HNUCA7JML · pith_short_8: 4FUWQI4H

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/4FUWQI4HNUCA7JMLVXW3DEYSSO \
  | 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: e1696823876d040fa58badedb193129381aebc9162c2394986d099c38ce7b207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc2a2839d319236dc6100963e0bed38838144db4c8489a20ea3817c3e5b1535b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-19T15:28:31Z",
    "title_canon_sha256": "43c5d80e30c4bc6c9ec197e654e59751ee97da9e3d28957ffe61efdd5015b5c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4079",
    "kind": "arxiv",
    "version": 1
  }
}