Pith Number

pith:JZO2V7S7

pith:2025:JZO2V7S7JTLCMDVYGVBIEB3RI6

not attested not anchored not stored refs pending

The $L^p$-boundedness of wave operators for higher order Schr\"odinger operator with zero singularities in low odd dimensions

Avy Soffer, Han Cheng, Xiaohua Yao, Zhao Wu

arxiv:2505.07009 v1 · 2025-05-11 · math.AP · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZO2V7S7JTLCMDVYGVBIEB3RI6}

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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

Counterexamples to the $L^1$ and $L^{\infty}$ boundedness of the one-dimensional wave operators

Receipt and verification

First computed	2026-07-05T11:01:40.621998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5daafe5f4cd6260eb8354282077147a3d2c7a43c48d6cd8fe6342c495a86f7

Aliases

arxiv: 2505.07009 · arxiv_version: 2505.07009v1 · doi: 10.48550/arxiv.2505.07009 · pith_short_12: JZO2V7S7JTLC · pith_short_16: JZO2V7S7JTLCMDVY · pith_short_8: JZO2V7S7

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/JZO2V7S7JTLCMDVYGVBIEB3RI6 \
  | 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: 4e5daafe5f4cd6260eb8354282077147a3d2c7a43c48d6cd8fe6342c495a86f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba7e00d0f980f0af840c6f2383ffb5f3babf47e817b5dddde1abd50a0040f2f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-11T15:10:07Z",
    "title_canon_sha256": "67e9ba685f0e66c539b95cfcc136b5242a90dc17900884f965e0359d5dacf5bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07009",
    "kind": "arxiv",
    "version": 1
  }
}