Pith Number

pith:KNBA5RD4

pith:2015:KNBA5RD4AHM4Z6PQ5VKK5AZUVW

not attested not anchored not stored refs pending

Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space

Jizhen Zhou, Ruishen Qian, Songxiao Li

arxiv:1509.01460 v1 · 2015-09-04 · math.CV · 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{KNBA5RD4AHM4Z6PQ5VKK5AZUVW}

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	2026-05-18T01:33:57.642490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53420ec47c01d9ccf9f0ed54ae8334ad895aa4388f1324cc4f040675c0cb1e26

Aliases

arxiv: 1509.01460 · arxiv_version: 1509.01460v1 · doi: 10.48550/arxiv.1509.01460 · pith_short_12: KNBA5RD4AHM4 · pith_short_16: KNBA5RD4AHM4Z6PQ · pith_short_8: KNBA5RD4

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/KNBA5RD4AHM4Z6PQ5VKK5AZUVW \
  | 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: 53420ec47c01d9ccf9f0ed54ae8334ad895aa4388f1324cc4f040675c0cb1e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0a00fdce06c10b9fcdce3ab7c62bef33b3af1eeb9ad92964e3e7025ee129f3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-04T14:12:04Z",
    "title_canon_sha256": "2d44757e1601e80486306b1304572570bfde85f8dcf32d994be6fcec049e57f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01460",
    "kind": "arxiv",
    "version": 1
  }
}