Pith Number

pith:YNXW33TN

pith:2019:YNXW33TNDQFON3S6QN4DV64OOJ

not attested not anchored not stored refs pending

Characterizations of Hardy spaces for Fourier integral operators

Jan Rozendaal

arxiv:1907.02680 v3 · 2019-07-05 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNXW33TNDQFON3S6QN4DV64OOJ}

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.

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	2026-07-05T03:11:51.558271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36f6dee6d1c0ae6ee5e83783afb8e726e4042301c8fb2be60bc1f7311b49ef9

Aliases

arxiv: 1907.02680 · arxiv_version: 1907.02680v3 · doi: 10.48550/arxiv.1907.02680 · pith_short_12: YNXW33TNDQFO · pith_short_16: YNXW33TNDQFON3S6 · pith_short_8: YNXW33TN

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/YNXW33TNDQFON3S6QN4DV64OOJ \
  | 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: c36f6dee6d1c0ae6ee5e83783afb8e726e4042301c8fb2be60bc1f7311b49ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d478223932567de7c3dbc41e8328b8f00c570ac9b60a5d7e1e8bd62810c2240",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-05T05:22:26Z",
    "title_canon_sha256": "50fe06274d6cd2869bee63bea7e736728ed2847ef1b7fa85b371e4ef507976e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02680",
    "kind": "arxiv",
    "version": 3
  }
}