Pith Number

pith:KCLFP2GB

pith:2012:KCLFP2GBKA2FMNQMFCNEJQCCQQ

not attested not anchored not stored refs pending

L1-spectrum of Banach space valued Ornstein-Uhlenbeck operators

Rostyslav Kozhan

arxiv:1210.1287 v1 · 2012-10-04 · math.CA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCLFP2GBKA2FMNQMFCNEJQCCQQ}

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	2026-05-18T03:44:04.893998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509657e8c1503456360c289a44c042840971be5c811c778e98ae96a53b6ce59a

Aliases

arxiv: 1210.1287 · arxiv_version: 1210.1287v1 · doi: 10.48550/arxiv.1210.1287 · pith_short_12: KCLFP2GBKA2F · pith_short_16: KCLFP2GBKA2FMNQM · pith_short_8: KCLFP2GB

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/KCLFP2GBKA2FMNQMFCNEJQCCQQ \
  | 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: 509657e8c1503456360c289a44c042840971be5c811c778e98ae96a53b6ce59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371c01993dc721f3f104a71c5b97ff177482cbed69fec7322d408d0de810d373",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-04T03:36:54Z",
    "title_canon_sha256": "18493c61ec01dd9e7ca0e82474519138e8c313a4e35e91b4521d6c421a3d5d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1287",
    "kind": "arxiv",
    "version": 1
  }
}