Pith Number

pith:VSNFRLWO

pith:2014:VSNFRLWOVG47BRIW64JSX3YDZ2

not attested not anchored not stored refs pending

A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel

Liguang Liu, Peter Sj\"ogren

arxiv:1401.4288 v2 · 2014-01-17 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSNFRLWOVG47BRIW64JSX3YDZ2}

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	2026-05-18T02:54:13.953457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9a58aecea9b9f0c516f7132bef03cebd3b9d6f52453b570ca511b52a367fbb

Aliases

arxiv: 1401.4288 · arxiv_version: 1401.4288v2 · doi: 10.48550/arxiv.1401.4288 · pith_short_12: VSNFRLWOVG47 · pith_short_16: VSNFRLWOVG47BRIW · pith_short_8: VSNFRLWO

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/VSNFRLWOVG47BRIW64JSX3YDZ2 \
  | 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: ac9a58aecea9b9f0c516f7132bef03cebd3b9d6f52453b570ca511b52a367fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4ee6c1e32c4203828682540ce87cf055108f0dadf1bfc900fc01c46fd731d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-17T09:47:12Z",
    "title_canon_sha256": "850aad65640836b7e7d06c701f73ae0673c38f7eaa8e4cea021bc14beb2d62a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4288",
    "kind": "arxiv",
    "version": 2
  }
}