Pith Number

pith:GZ4ASXJK

pith:2018:GZ4ASXJKIWCMN6X6MH6C2RTIWZ

not attested not anchored not stored refs pending

Difference of weighted composition operators on weighted-type spaces in the unit ball

Bingyang Hu, Songxiao Li

arxiv:1804.04033 v1 · 2018-04-11 · 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{GZ4ASXJKIWCMN6X6MH6C2RTIWZ}

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	2026-05-18T00:18:42.283387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3678095d2a4584c6fafe61fc2d4668b65300094e7abfaaa1a72b54857a0449d8

Aliases

arxiv: 1804.04033 · arxiv_version: 1804.04033v1 · doi: 10.48550/arxiv.1804.04033 · pith_short_12: GZ4ASXJKIWCM · pith_short_16: GZ4ASXJKIWCMN6X6 · pith_short_8: GZ4ASXJK

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/GZ4ASXJKIWCMN6X6MH6C2RTIWZ \
  | 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: 3678095d2a4584c6fafe61fc2d4668b65300094e7abfaaa1a72b54857a0449d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ba6f1bef743e2916c56f6446e63a48cdb94fb8ef792a3c0c2def66e03a32ca",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-04-11T15:02:01Z",
    "title_canon_sha256": "2c5c4d9df0f9d4625117b7fb57e0d0be679cf1666008068dcabdfdcd435412af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04033",
    "kind": "arxiv",
    "version": 1
  }
}