Pith Number

pith:VFDX4WTU

pith:2019:VFDX4WTUJTYYRLDPNDMUBB2JXN

not attested not anchored not stored refs pending

Weighted Bergman spaces induced by doubling weights in the unit ball of $\mathbb{C}^n$

Juntao Du, Songxiao Li, Xiaosong Liu, Yecheng Shi

arxiv:1903.03748 v2 · 2019-03-09 · 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{VFDX4WTUJTYYRLDPNDMUBB2JXN}

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	2026-05-17T23:42:08.246702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9477e5a744cf188ac6f68d9408749bb7f6f72a7b3adb84fcc2623b29fe9c85e

Aliases

arxiv: 1903.03748 · arxiv_version: 1903.03748v2 · doi: 10.48550/arxiv.1903.03748 · pith_short_12: VFDX4WTUJTYY · pith_short_16: VFDX4WTUJTYYRLDP · pith_short_8: VFDX4WTU

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/VFDX4WTUJTYYRLDPNDMUBB2JXN \
  | 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: a9477e5a744cf188ac6f68d9408749bb7f6f72a7b3adb84fcc2623b29fe9c85e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a83630488319ec0bfa283b84412981a2cc1c70fded2f2b969d1cdf83ccf2ba5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-09T06:37:02Z",
    "title_canon_sha256": "68c3c06973a90a116914827cfd47bc161ff711f15c05e96e18cf21de224c3be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03748",
    "kind": "arxiv",
    "version": 2
  }
}