Pith Number

pith:N6FPGPRI

pith:2023:N6FPGPRIZI4TZC6S2UVDPSBSUE

not attested not anchored not stored refs pending

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces II: Sharp Boundedness of Almost Diagonal Operators

Dachun Yang, Fan Bu, Tuomas Hyt\"onen, Wen Yuan

arxiv:2312.13548 v3 · 2023-12-21 · math.FA · 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{N6FPGPRIZI4TZC6S2UVDPSBSUE}

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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

Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calder\'on--Zygmund Operators

Receipt and verification

First computed	2026-07-05T08:57:35.295623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f8af33e28ca393c8bd2d52a37c832a10b415747fef13a5e52cbebd2b3367355

Aliases

arxiv: 2312.13548 · arxiv_version: 2312.13548v3 · doi: 10.48550/arxiv.2312.13548 · pith_short_12: N6FPGPRIZI4T · pith_short_16: N6FPGPRIZI4TZC6S · pith_short_8: N6FPGPRI

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/N6FPGPRIZI4TZC6S2UVDPSBSUE \
  | 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: 6f8af33e28ca393c8bd2d52a37c832a10b415747fef13a5e52cbebd2b3367355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299cf6490f8ab45e2bc56af3503d152b60c661e1b0fa7aaaefb0f2b566df653b",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-21T03:19:01Z",
    "title_canon_sha256": "3c8bcc412fead9d66a0ce2f1c31577fed60b49997af1b89d1963e1947a9f742f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13548",
    "kind": "arxiv",
    "version": 3
  }
}