Pith Number

pith:562FPAOS

pith:2017:562FPAOSZYUVRWSGXIZ4H745CQ

not attested not anchored not stored refs pending

Bloch-type spaces and extended Ces\`{a}ro operators in the unit ball of a complex Banach space

Hidetaka Hamada

arxiv:1710.11347 v3 · 2017-10-31 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{562FPAOSZYUVRWSGXIZ4H745CQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:17:59.999440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb45781d2ce2958da46ba33c3ff9d1417881424b36a82d56731f4811cc2699f

Aliases

arxiv: 1710.11347 · arxiv_version: 1710.11347v3 · doi: 10.48550/arxiv.1710.11347 · pith_short_12: 562FPAOSZYUV · pith_short_16: 562FPAOSZYUVRWSG · pith_short_8: 562FPAOS

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/562FPAOSZYUVRWSGXIZ4H745CQ \
  | 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: efb45781d2ce2958da46ba33c3ff9d1417881424b36a82d56731f4811cc2699f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3159283ded9ba495baa118746d697fd3da23d9b82272159dd8f8c8439077bb7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-10-31T06:55:22Z",
    "title_canon_sha256": "9337e1299163497cdee74111d2ee8005398ff533a34b9c305b97a6df623e8a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11347",
    "kind": "arxiv",
    "version": 3
  }
}