Pith Number

pith:4RXCUWRF

pith:2018:4RXCUWRFC7ELEJ366T2RTXUS2P

not attested not anchored not stored refs pending

Complex symmetric weighted composition operators on Dirichlet spaces and Hardy spaces in the unit ball

Xiao-He Hu, Ze-Hua Zhou, Zi-Cong Yang

arxiv:1812.10248 v1 · 2018-12-26 · 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{4RXCUWRFC7ELEJ366T2RTXUS2P}

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	2026-05-17T23:57:24.670451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46e2a5a2517c8b2277ef4f519de92d3e849793f99f142465f9ec512b70b63ff

Aliases

arxiv: 1812.10248 · arxiv_version: 1812.10248v1 · doi: 10.48550/arxiv.1812.10248 · pith_short_12: 4RXCUWRFC7EL · pith_short_16: 4RXCUWRFC7ELEJ36 · pith_short_8: 4RXCUWRF

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/4RXCUWRFC7ELEJ366T2RTXUS2P \
  | 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: e46e2a5a2517c8b2277ef4f519de92d3e849793f99f142465f9ec512b70b63ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a65d966b5b331c76354711b240be580e39e5699fe0f798a982a1533f2d86139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-26T07:04:53Z",
    "title_canon_sha256": "03df035a7b0e8672e37e557dc28b35084c86500f5dcbaf18c7546495ed3407de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10248",
    "kind": "arxiv",
    "version": 1
  }
}