Pith Number

pith:EK74JQNF

pith:2022:EK74JQNFP6I4SHEVR667GIE5RJ

not attested not anchored not stored refs pending

Boundedness of Calder\'on--Zygmund operators on ball Campanato-type function spaces

Dachun Yang, Hongchao Jia, Yiqun Chen

arxiv:2208.06266 v1 · 2022-08-12 · 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{EK74JQNFP6I4SHEVR667GIE5RJ}

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	2026-07-05T04:48:02.878773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bfc4c1a57f91c91c958fbdf3209d8a4773546f17dec07dc10606a78e8ddce8

Aliases

arxiv: 2208.06266 · arxiv_version: 2208.06266v1 · doi: 10.48550/arxiv.2208.06266 · pith_short_12: EK74JQNFP6I4 · pith_short_16: EK74JQNFP6I4SHEV · pith_short_8: EK74JQNF

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/EK74JQNFP6I4SHEVR667GIE5RJ \
  | 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: 22bfc4c1a57f91c91c958fbdf3209d8a4773546f17dec07dc10606a78e8ddce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70434c4c90cee471eb17e3182664e76aac71dd4aac958892c4224a49e809020",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-08-12T13:26:04Z",
    "title_canon_sha256": "5ff4ffe82d2f2d5af5f0608e948d3eb1c5a11a7f0f17655caf1d8cd497140288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.06266",
    "kind": "arxiv",
    "version": 1
  }
}