Pith Number

pith:6PT3QVA4

pith:2019:6PT3QVA45APPZX4WN5PCJBCLEA

not attested not anchored not stored refs pending

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

Jan Rozendaal, Liang Song, Naijia Liu, Zhijie Fan

arxiv:1908.01448 v5 · 2019-08-05 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PT3QVA45APPZX4WN5PCJBCLEA}

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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

Nonlinear wave equations with slowly decaying initial data

Receipt and verification

First computed	2026-07-05T06:13:13.552875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e7b8541ce81efcdf966f5e24844b2002d3ee804d578aba79b598261ba15908

Aliases

arxiv: 1908.01448 · arxiv_version: 1908.01448v5 · doi: 10.48550/arxiv.1908.01448 · pith_short_12: 6PT3QVA45APP · pith_short_16: 6PT3QVA45APPZX4W · pith_short_8: 6PT3QVA4

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/6PT3QVA45APPZX4WN5PCJBCLEA \
  | 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: f3e7b8541ce81efcdf966f5e24844b2002d3ee804d578aba79b598261ba15908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40893bae9814ba7ce0467048230993de37cc660e60de5e3b91f7a518a6201f51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-05T02:42:51Z",
    "title_canon_sha256": "6c2d810d59e8fc9339f0d923cef407341ad3d4a4b0d18dbd28fe364a50c4f973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01448",
    "kind": "arxiv",
    "version": 5
  }
}