Pith Number

pith:3WIRBMFF

pith:2019:3WIRBMFFSQ6PXW32W6YJB5D6B6

not attested not anchored not stored refs pending

Difference of composition operators between weighted Bergman spaces on the unit ball

Juntao Du, Songxiao Li, Yecheng Shi

arxiv:1903.00651 v1 · 2019-03-02 · 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{3WIRBMFFSQ6PXW32W6YJB5D6B6}

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	2026-05-17T23:52:13.856098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9110b0a5943cfbdb7ab7b090f47e0f94836880e4cc25c76257edda2b33b8a9

Aliases

arxiv: 1903.00651 · arxiv_version: 1903.00651v1 · doi: 10.48550/arxiv.1903.00651 · pith_short_12: 3WIRBMFFSQ6P · pith_short_16: 3WIRBMFFSQ6PXW32 · pith_short_8: 3WIRBMFF

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/3WIRBMFFSQ6PXW32W6YJB5D6B6 \
  | 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: dd9110b0a5943cfbdb7ab7b090f47e0f94836880e4cc25c76257edda2b33b8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3236bc36c2510835c13b7c2f102b895628285a49f73ee8d6cb53244d51288e19",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-03-02T08:21:08Z",
    "title_canon_sha256": "46b04d5bf663830fd63f01a1c0781720abb3edc75b96b1e1dd34343536342661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00651",
    "kind": "arxiv",
    "version": 1
  }
}