Pith Number

pith:Z4IB6BSJ

pith:2018:Z4IB6BSJIP26TEGYFPTWRRZIXN

not attested not anchored not stored refs pending

Off-singularity bounds and Hardy spaces for Fourier integral operators

Andrew Hassell, Jan Rozendaal, Pierre Portal

arxiv:1811.11376 v4 · 2018-11-28 · math.AP · math.CA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4IB6BSJIP26TEGYFPTWRRZIXN}

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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

Characterizations of the Hardy space $\mathcal{H}_{FIO}^{1}(\mathbb{R}^{n})$ for Fourier integral operators

Receipt and verification

First computed	2026-07-05T01:07:48.476136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf101f064943f5e990d82be768c728bb76749f1127c57b6d722876b7f470725d

Aliases

arxiv: 1811.11376 · arxiv_version: 1811.11376v4 · doi: 10.48550/arxiv.1811.11376 · pith_short_12: Z4IB6BSJIP26 · pith_short_16: Z4IB6BSJIP26TEGY · pith_short_8: Z4IB6BSJ

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/Z4IB6BSJIP26TEGYFPTWRRZIXN \
  | 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: cf101f064943f5e990d82be768c728bb76749f1127c57b6d722876b7f470725d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c043924b77d3eafddf688851ac8ee8961c246631a2cb69e003a5ffbd9079c280",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-28T04:21:29Z",
    "title_canon_sha256": "f371b4c1a70954fd8f938f015c7ff99b13424c704ff785856b0ab5f4d89fc6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11376",
    "kind": "arxiv",
    "version": 4
  }
}