Pith Number

pith:ZMLGXCLY

pith:2019:ZMLGXCLYKXGESNN5DOZKYFBGTP

not attested not anchored not stored refs pending

Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

Bingyang Hu, Le Hai Khoi

arxiv:1904.10634 v1 · 2019-04-24 · 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{ZMLGXCLYKXGESNN5DOZKYFBGTP}

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	2026-05-17T23:47:53.188075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb166b897855cc4935bd1bb2ac14269bfc6c74eab23fa7657bc5fa21c1966961

Aliases

arxiv: 1904.10634 · arxiv_version: 1904.10634v1 · doi: 10.48550/arxiv.1904.10634 · pith_short_12: ZMLGXCLYKXGE · pith_short_16: ZMLGXCLYKXGESNN5 · pith_short_8: ZMLGXCLY

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/ZMLGXCLYKXGESNN5DOZKYFBGTP \
  | 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: cb166b897855cc4935bd1bb2ac14269bfc6c74eab23fa7657bc5fa21c1966961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f154b56a9dd450ddfa73034c8c850ea6b972336b2823e763b74ce3d5fc7623ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-04-24T04:01:18Z",
    "title_canon_sha256": "cd1b3889dad4d40ece2795c2017c91a6fccc017ab4a1555a6c8ab13a578b333c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10634",
    "kind": "arxiv",
    "version": 1
  }
}