Pith Number

pith:5QSTBTQN

pith:2016:5QSTBTQNWS34LS4UPRBYJIIPMD

not attested not anchored not stored refs pending

Differences of weighted differentiation composition operators from Bloch-type space to weighted-type space

Yu-Xia Liang

arxiv:1608.06181 v2 · 2016-08-22 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QSTBTQNWS34LS4UPRBYJIIPMD}

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	2026-05-18T01:03:05.682551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2530ce0db4b7c5cb947c4384a10f60e5fe38f6e3622ab67baf7adfe520ebdc

Aliases

arxiv: 1608.06181 · arxiv_version: 1608.06181v2 · doi: 10.48550/arxiv.1608.06181 · pith_short_12: 5QSTBTQNWS34 · pith_short_16: 5QSTBTQNWS34LS4U · pith_short_8: 5QSTBTQN

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/5QSTBTQNWS34LS4UPRBYJIIPMD \
  | 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: ec2530ce0db4b7c5cb947c4384a10f60e5fe38f6e3622ab67baf7adfe520ebdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91662ff4322f6ceba1c1dbbb9edb82700ff5b0c46a4d4898c889bf2940677c47",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-22T14:33:48Z",
    "title_canon_sha256": "4891f0aabb772939c9ea089a9e14175ca37ae01807e23419f9099ee6f358433d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06181",
    "kind": "arxiv",
    "version": 2
  }
}