Pith Number

pith:5B663XIB

pith:2022:5B663XIB2CPKYVK4R55WWEO3ZI

not attested not anchored not stored refs pending

Boundedness of Fractional Integrals on Ball Campanato-Type Function Spaces

Dachun Yang, Hongchao Jia, Yiqun Chen

arxiv:2206.06551 v1 · 2022-06-14 · 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{5B663XIB2CPKYVK4R55WWEO3ZI}

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	2026-07-05T04:32:41.023490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e87deddd01d09eac555c8f7b6b11dbca144c2ae7db0aa0c0bca919788e59f3a5

Aliases

arxiv: 2206.06551 · arxiv_version: 2206.06551v1 · doi: 10.48550/arxiv.2206.06551 · pith_short_12: 5B663XIB2CPK · pith_short_16: 5B663XIB2CPKYVK4 · pith_short_8: 5B663XIB

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/5B663XIB2CPKYVK4R55WWEO3ZI \
  | 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: e87deddd01d09eac555c8f7b6b11dbca144c2ae7db0aa0c0bca919788e59f3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb800973824bc7106faf61f6501ddb31005c832f40523a66185fcc1cb08f2ea",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-06-14T01:58:08Z",
    "title_canon_sha256": "82276423a8e9b7d0ee7c956fddddf7574cfe73d06d0b33ee61c98b73a8d5059a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.06551",
    "kind": "arxiv",
    "version": 1
  }
}