{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XOPKOSULLDMEGHXXWJVCD3OOPL","short_pith_number":"pith:XOPKOSUL","schema_version":"1.0","canonical_sha256":"bb9ea74a8b58d8431ef7b26a21edce7ae6d4784245350a13544d32d9d4333cf2","source":{"kind":"arxiv","id":"1205.4510","version":1},"attestation_state":"computed","paper":{"title":"On the exponential ergodicity for L\\'{e}vy driven Ornstein-Uhlenbeck processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jian Wang","submitted_at":"2012-05-21T07:46:10Z","abstract_excerpt":"Based on the explicit coupling property, the ergodicity and the exponential ergodicity of L\\'{e}vy driven Ornstein-Uhlenbeck processes are established."},"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":"1205.4510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-05-21T07:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"3e3db937af4db1b98b88fdc9a8052e5d7bc2c4c8b7c2d9d0db075fdce2236cba","abstract_canon_sha256":"c364b548f66b9843a1f9f41daa97d5c178d71a3a6e2fd7e5f6ce6d3e66d8a3b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:13.030082Z","signature_b64":"cp0LH4hwcxmQ+Af6a5n2L5M1N7EmK2lRWtFM+/3c+HCRjAOna5+4W9mCYpXRffZ2riUuepjOPNUXVscKzngPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb9ea74a8b58d8431ef7b26a21edce7ae6d4784245350a13544d32d9d4333cf2","last_reissued_at":"2026-05-18T03:55:13.029368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:13.029368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the exponential ergodicity for L\\'{e}vy driven Ornstein-Uhlenbeck processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jian Wang","submitted_at":"2012-05-21T07:46:10Z","abstract_excerpt":"Based on the explicit coupling property, the ergodicity and the exponential ergodicity of L\\'{e}vy driven Ornstein-Uhlenbeck processes are established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4510","kind":"arxiv","version":1},"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":"1205.4510","created_at":"2026-05-18T03:55:13.029483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.4510v1","created_at":"2026-05-18T03:55:13.029483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4510","created_at":"2026-05-18T03:55:13.029483+00:00"},{"alias_kind":"pith_short_12","alias_value":"XOPKOSULLDME","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XOPKOSULLDMEGHXX","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XOPKOSUL","created_at":"2026-05-18T12:27:27.928770+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/XOPKOSULLDMEGHXXWJVCD3OOPL","json":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL.json","graph_json":"https://pith.science/api/pith-number/XOPKOSULLDMEGHXXWJVCD3OOPL/graph.json","events_json":"https://pith.science/api/pith-number/XOPKOSULLDMEGHXXWJVCD3OOPL/events.json","paper":"https://pith.science/paper/XOPKOSUL"},"agent_actions":{"view_html":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL","download_json":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL.json","view_paper":"https://pith.science/paper/XOPKOSUL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.4510&json=true","fetch_graph":"https://pith.science/api/pith-number/XOPKOSULLDMEGHXXWJVCD3OOPL/graph.json","fetch_events":"https://pith.science/api/pith-number/XOPKOSULLDMEGHXXWJVCD3OOPL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL/action/storage_attestation","attest_author":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL/action/author_attestation","sign_citation":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL/action/citation_signature","submit_replication":"https://pith.science/pith/XOPKOSULLDMEGHXXWJVCD3OOPL/action/replication_record"}},"created_at":"2026-05-18T03:55:13.029483+00:00","updated_at":"2026-05-18T03:55:13.029483+00:00"}