{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ZRUXJHF3725DKRHVFATPC7GPZB","short_pith_number":"pith:ZRUXJHF3","schema_version":"1.0","canonical_sha256":"cc69749cbbfeba3544f52826f17ccfc85dc9749f8af47da68152ed3cba11cbe8","source":{"kind":"arxiv","id":"1012.0257","version":1},"attestation_state":"computed","paper":{"title":"Ergodicity of Markov Semigroups with H\\\"ormander type generators in Infinite Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"B. Zegarlinski, F. Dragoni, V. Kontis","submitted_at":"2010-12-01T17:51:42Z","abstract_excerpt":"We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups associated to H\\\"ormander type generators when the underlying configuration space is infinite dimensional."},"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":"1012.0257","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-12-01T17:51:42Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"415e48cc3c4644786f64f4b9674cbc8003e21dec06d624c064e47f7ed6cadf2c","abstract_canon_sha256":"7123dc76f751ecb8bc2c972599c503bb0e6c15eadcdea642885155efd8526a1c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:18.649179Z","signature_b64":"CpaU+MP4FvgwW7IIsjSXIFN56lXOwCeP1ZdlGgxbrsfqh6y/rLB++45gW0OdPPMJKZS9rhEUKdLnIgF9JQBpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc69749cbbfeba3544f52826f17ccfc85dc9749f8af47da68152ed3cba11cbe8","last_reissued_at":"2026-05-18T04:34:18.648507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:18.648507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ergodicity of Markov Semigroups with H\\\"ormander type generators in Infinite Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.AP","authors_text":"B. Zegarlinski, F. Dragoni, V. Kontis","submitted_at":"2010-12-01T17:51:42Z","abstract_excerpt":"We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups associated to H\\\"ormander type generators when the underlying configuration space is infinite dimensional."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0257","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":"1012.0257","created_at":"2026-05-18T04:34:18.648611+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.0257v1","created_at":"2026-05-18T04:34:18.648611+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0257","created_at":"2026-05-18T04:34:18.648611+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZRUXJHF3725D","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZRUXJHF3725DKRHV","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZRUXJHF3","created_at":"2026-05-18T12:26:18.847500+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/ZRUXJHF3725DKRHVFATPC7GPZB","json":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB.json","graph_json":"https://pith.science/api/pith-number/ZRUXJHF3725DKRHVFATPC7GPZB/graph.json","events_json":"https://pith.science/api/pith-number/ZRUXJHF3725DKRHVFATPC7GPZB/events.json","paper":"https://pith.science/paper/ZRUXJHF3"},"agent_actions":{"view_html":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB","download_json":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB.json","view_paper":"https://pith.science/paper/ZRUXJHF3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.0257&json=true","fetch_graph":"https://pith.science/api/pith-number/ZRUXJHF3725DKRHVFATPC7GPZB/graph.json","fetch_events":"https://pith.science/api/pith-number/ZRUXJHF3725DKRHVFATPC7GPZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB/action/storage_attestation","attest_author":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB/action/author_attestation","sign_citation":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB/action/citation_signature","submit_replication":"https://pith.science/pith/ZRUXJHF3725DKRHVFATPC7GPZB/action/replication_record"}},"created_at":"2026-05-18T04:34:18.648611+00:00","updated_at":"2026-05-18T04:34:18.648611+00:00"}