Pith Number

pith:BK63ZOBJ

pith:2016:BK63ZOBJWLSNSKUGY3SJRCKI3L

not attested not anchored not stored refs pending

Lipschitz type, radial growth and Dirichlet type spaces on functions induced by certain elliptic operators

Antti Rasila, Shaolin Chen

arxiv:1606.09328 v1 · 2016-06-30 · 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{BK63ZOBJWLSNSKUGY3SJRCKI3L}

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	2026-05-18T01:11:40.645345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0abdbcb829b2e4d92a86c6e4988948dae2bbb9554d5912b0c784f9b2ced18da0

Aliases

arxiv: 1606.09328 · arxiv_version: 1606.09328v1 · doi: 10.48550/arxiv.1606.09328 · pith_short_12: BK63ZOBJWLSN · pith_short_16: BK63ZOBJWLSNSKUG · pith_short_8: BK63ZOBJ

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/BK63ZOBJWLSNSKUGY3SJRCKI3L \
  | 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: 0abdbcb829b2e4d92a86c6e4988948dae2bbb9554d5912b0c784f9b2ced18da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4dcdee71c221545b7692f479e90d1dfc584d35667f5a7a626dd329463173cd4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-06-30T02:20:09Z",
    "title_canon_sha256": "1facaea75f3974c83e05527e3df84e80170aad0e25f1b582eea3780b2eba4fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09328",
    "kind": "arxiv",
    "version": 1
  }
}