Pith Number

pith:NHOUDWZ6

pith:2022:NHOUDWZ6VCGPNMZI4JI4SVDLGX

not attested not anchored not stored refs pending

Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces

Jiang Zhou, Wenna Lu

arxiv:2206.07620 v1 · 2022-06-15 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHOUDWZ6VCGPNMZI4JI4SVDLGX}

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	2026-07-05T04:32:06.975444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69dd41db3ea88cf6b328e251c9546b35dc5953fed3c583c9caa195225aa37284

Aliases

arxiv: 2206.07620 · arxiv_version: 2206.07620v1 · doi: 10.48550/arxiv.2206.07620 · pith_short_12: NHOUDWZ6VCGP · pith_short_16: NHOUDWZ6VCGPNMZI · pith_short_8: NHOUDWZ6

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/NHOUDWZ6VCGPNMZI4JI4SVDLGX \
  | 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: 69dd41db3ea88cf6b328e251c9546b35dc5953fed3c583c9caa195225aa37284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87766556895ab9399c45864474d42f49ad20eee2b7548486179c19ff066dc19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-06-15T16:05:45Z",
    "title_canon_sha256": "f182dfa1560d6ae8ac153da2d15287e20d5006528c10eacde1fdf1b62f645269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07620",
    "kind": "arxiv",
    "version": 1
  }
}