{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VSNFRLWOVG47BRIW64JSX3YDZ2","short_pith_number":"pith:VSNFRLWO","schema_version":"1.0","canonical_sha256":"ac9a58aecea9b9f0c516f7132bef03cebd3b9d6f52453b570ca511b52a367fbb","source":{"kind":"arxiv","id":"1401.4288","version":2},"attestation_state":"computed","paper":{"title":"A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Liguang Liu, Peter Sj\\\"ogren","submitted_at":"2014-01-17T09:47:12Z","abstract_excerpt":"The Gaussian Lipschitz space was defined by Gatto and Urbina, by means of the Ornstein-Uhlenbeck Poisson kernel. We give a characterization of this space in terms of a combination of ordinary Lipschitz continuity conditions. The main tools used in the proof are sharp estimates of the Ornstein-Uhlenbeck Poisson kernel and some of its derivatives."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1401.4288","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-01-17T09:47:12Z","cross_cats_sorted":[],"title_canon_sha256":"850aad65640836b7e7d06c701f73ae0673c38f7eaa8e4cea021bc14beb2d62a4","abstract_canon_sha256":"0d4ee6c1e32c4203828682540ce87cf055108f0dadf1bfc900fc01c46fd731d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:13.953982Z","signature_b64":"b/6o1M5fJV+cgmlg6ukAn779bjVp+twYumyL2ppuiN1t2tyEzJ6XoEQlqjC/4rKYlYHzLA2piHi+1eJ7S6MnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac9a58aecea9b9f0c516f7132bef03cebd3b9d6f52453b570ca511b52a367fbb","last_reissued_at":"2026-05-18T02:54:13.953457Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:13.953457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Liguang Liu, Peter Sj\\\"ogren","submitted_at":"2014-01-17T09:47:12Z","abstract_excerpt":"The Gaussian Lipschitz space was defined by Gatto and Urbina, by means of the Ornstein-Uhlenbeck Poisson kernel. We give a characterization of this space in terms of a combination of ordinary Lipschitz continuity conditions. The main tools used in the proof are sharp estimates of the Ornstein-Uhlenbeck Poisson kernel and some of its derivatives."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4288","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.4288","created_at":"2026-05-18T02:54:13.953541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.4288v2","created_at":"2026-05-18T02:54:13.953541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4288","created_at":"2026-05-18T02:54:13.953541+00:00"},{"alias_kind":"pith_short_12","alias_value":"VSNFRLWOVG47","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VSNFRLWOVG47BRIW","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VSNFRLWO","created_at":"2026-05-18T12:28:54.890064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2","json":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2.json","graph_json":"https://pith.science/api/pith-number/VSNFRLWOVG47BRIW64JSX3YDZ2/graph.json","events_json":"https://pith.science/api/pith-number/VSNFRLWOVG47BRIW64JSX3YDZ2/events.json","paper":"https://pith.science/paper/VSNFRLWO"},"agent_actions":{"view_html":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2","download_json":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2.json","view_paper":"https://pith.science/paper/VSNFRLWO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.4288&json=true","fetch_graph":"https://pith.science/api/pith-number/VSNFRLWOVG47BRIW64JSX3YDZ2/graph.json","fetch_events":"https://pith.science/api/pith-number/VSNFRLWOVG47BRIW64JSX3YDZ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2/action/storage_attestation","attest_author":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2/action/author_attestation","sign_citation":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2/action/citation_signature","submit_replication":"https://pith.science/pith/VSNFRLWOVG47BRIW64JSX3YDZ2/action/replication_record"}},"created_at":"2026-05-18T02:54:13.953541+00:00","updated_at":"2026-05-18T02:54:13.953541+00:00"}