Pith Number

pith:LUB2URYV

pith:2025:LUB2URYVLZNVBE4MFNCI6WVFZR

not attested not anchored not stored refs pending

Strichartz estimates for orthonormal systems on compact manifolds

An Zhang, Cheng Zhang, Xing Wang

arxiv:2503.08504 v4 · 2025-03-11 · math.AP · math-ph · math.CA · math.MP · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUB2URYVLZNVBE4MFNCI6WVFZR}

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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

Strichartz estimates involving orthonormal systems at the critical summability exponent

Receipt and verification

First computed	2026-07-05T12:01:58.442611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d03aa47155e5b50938c2b448f5aa5cc4d56e8a99a4f65824a815609836fe753

Aliases

arxiv: 2503.08504 · arxiv_version: 2503.08504v4 · doi: 10.48550/arxiv.2503.08504 · pith_short_12: LUB2URYVLZNV · pith_short_16: LUB2URYVLZNVBE4M · pith_short_8: LUB2URYV

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/LUB2URYVLZNVBE4MFNCI6WVFZR \
  | 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: 5d03aa47155e5b50938c2b448f5aa5cc4d56e8a99a4f65824a815609836fe753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e96283982885e15ef64b053ce6b77fffb96b76714d5be62da047a45d1a468d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-11T14:55:47Z",
    "title_canon_sha256": "8c051c210d7dc982894e198b06c7969920a48ed69e0523dbe14b327a13efef66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.08504",
    "kind": "arxiv",
    "version": 4
  }
}