Pith Number

pith:KVJBXR4K

pith:2026:KVJBXR4KCVGGDDWCP6O2HFNGWB

not attested not anchored not stored refs pending

Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces

Dachun Yang, Wen Yuan, Yiqun Chen, Zongze Zeng

arxiv:2605.20597 v1 · 2026-05-20 · 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{KVJBXR4KCVGGDDWCP6O2HFNGWB}

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.

Receipt and verification

First computed	2026-05-21T01:04:43.955141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55521bc78a154c618ec27f9da395a6b06ce068acb7d32ce44927ed92091eab48

Aliases

arxiv: 2605.20597 · arxiv_version: 2605.20597v1 · doi: 10.48550/arxiv.2605.20597 · pith_short_12: KVJBXR4KCVGG · pith_short_16: KVJBXR4KCVGGDDWC · pith_short_8: KVJBXR4K

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/KVJBXR4KCVGGDDWCP6O2HFNGWB \
  | 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: 55521bc78a154c618ec27f9da395a6b06ce068acb7d32ce44927ed92091eab48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d597073241125048391939b3b4121760914c351bc25b4cc7f3b595669b5116a5",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-20T01:13:36Z",
    "title_canon_sha256": "a0ff6b01a70e4044a0d66e1fa57b994068418994fe6811cf3e904bfc1916f874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20597",
    "kind": "arxiv",
    "version": 1
  }
}