Pith Number

pith:P5QZRKEE

pith:2018:P5QZRKEEYX7SWBZFFD2QHBXHMR

not attested not anchored not stored refs pending

Optimal angle of the holomorphic functional calculus for the classical Ornstein-Uhlenbeck operator on $L^p$

Sean Harris

arxiv:1812.08300 v2 · 2018-12-20 · 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{P5QZRKEEYX7SWBZFFD2QHBXHMR}

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	2026-05-17T23:44:07.323974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6198a884c5ff2b072528f50386e7647c414d0f2c87c3181956b352beaaeadf

Aliases

arxiv: 1812.08300 · arxiv_version: 1812.08300v2 · doi: 10.48550/arxiv.1812.08300 · pith_short_12: P5QZRKEEYX7S · pith_short_16: P5QZRKEEYX7SWBZF · pith_short_8: P5QZRKEE

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/P5QZRKEEYX7SWBZFFD2QHBXHMR \
  | 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: 7f6198a884c5ff2b072528f50386e7647c414d0f2c87c3181956b352beaaeadf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "099e08231a046261a0a6f3e5206b1ff7f4f50bc581dd19bff835a1c5be05bc94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-20T00:54:36Z",
    "title_canon_sha256": "5bb6b553a22e8979e1d4263f044f8ad0e52d0f8ed1a9f969fe26689ba2c612ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08300",
    "kind": "arxiv",
    "version": 2
  }
}