{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:T5JQNLBTBBDBUOZZ3MI4C6OOIU","short_pith_number":"pith:T5JQNLBT","schema_version":"1.0","canonical_sha256":"9f5306ac3308461a3b39db11c179ce45051dc5a27396a0947d38e973b33ac9ef","source":{"kind":"arxiv","id":"1304.2893","version":2},"attestation_state":"computed","paper":{"title":"On embeddability of automorphisms into measurable flows from the point of view of self-joining properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Joanna Ku{\\l}aga-Przymus","submitted_at":"2013-04-10T09:57:36Z","abstract_excerpt":"We compare self-joining- and embeddability properties. In particular, we prove that a measure preserving flow $(T_t)_{t\\in\\mathbb{R}}$ with $T_1$ ergodic is 2-fold quasi-simple (2-fold distally simple) if and only if $T_1$ is 2-fold quasi-simple (2-fold distally simple). We also show that the Furstenberg-Zimmer decomposition for a flow $(T_t)_{t\\in\\mathbb{R}}$ with $T_1$ ergodic with respect to any flow factor is the same for $(T_t)_{t\\in\\mathbb{R}}$ and for $T_1$. We give an example of a 2-fold quasi-simple flow disjoint from simple flows and whose time-one map is simple. We describe two clas"},"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":"1304.2893","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-10T09:57:36Z","cross_cats_sorted":[],"title_canon_sha256":"df5b8df0d468209f59812a23701ed49a252ffd15419146701ae77b10b735e402","abstract_canon_sha256":"92182e0cf22a3932527d9c067d96bcd1d177c7136eb77e4fca6f8b55df5476f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:52.445877Z","signature_b64":"ufl1aeX62U5Clz+kkGbPVYWHSCObH7EFiCHhskAK1dD637elS1qhi3Vonhc8kyw5b5F0pvROHiXLF9KudmZ3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f5306ac3308461a3b39db11c179ce45051dc5a27396a0947d38e973b33ac9ef","last_reissued_at":"2026-05-18T02:43:52.445442Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:52.445442Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On embeddability of automorphisms into measurable flows from the point of view of self-joining properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Joanna Ku{\\l}aga-Przymus","submitted_at":"2013-04-10T09:57:36Z","abstract_excerpt":"We compare self-joining- and embeddability properties. In particular, we prove that a measure preserving flow $(T_t)_{t\\in\\mathbb{R}}$ with $T_1$ ergodic is 2-fold quasi-simple (2-fold distally simple) if and only if $T_1$ is 2-fold quasi-simple (2-fold distally simple). We also show that the Furstenberg-Zimmer decomposition for a flow $(T_t)_{t\\in\\mathbb{R}}$ with $T_1$ ergodic with respect to any flow factor is the same for $(T_t)_{t\\in\\mathbb{R}}$ and for $T_1$. We give an example of a 2-fold quasi-simple flow disjoint from simple flows and whose time-one map is simple. We describe two clas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2893","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":"1304.2893","created_at":"2026-05-18T02:43:52.445510+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.2893v2","created_at":"2026-05-18T02:43:52.445510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2893","created_at":"2026-05-18T02:43:52.445510+00:00"},{"alias_kind":"pith_short_12","alias_value":"T5JQNLBTBBDB","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"T5JQNLBTBBDBUOZZ","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"T5JQNLBT","created_at":"2026-05-18T12:27:59.945178+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/T5JQNLBTBBDBUOZZ3MI4C6OOIU","json":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU.json","graph_json":"https://pith.science/api/pith-number/T5JQNLBTBBDBUOZZ3MI4C6OOIU/graph.json","events_json":"https://pith.science/api/pith-number/T5JQNLBTBBDBUOZZ3MI4C6OOIU/events.json","paper":"https://pith.science/paper/T5JQNLBT"},"agent_actions":{"view_html":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU","download_json":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU.json","view_paper":"https://pith.science/paper/T5JQNLBT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.2893&json=true","fetch_graph":"https://pith.science/api/pith-number/T5JQNLBTBBDBUOZZ3MI4C6OOIU/graph.json","fetch_events":"https://pith.science/api/pith-number/T5JQNLBTBBDBUOZZ3MI4C6OOIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU/action/storage_attestation","attest_author":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU/action/author_attestation","sign_citation":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU/action/citation_signature","submit_replication":"https://pith.science/pith/T5JQNLBTBBDBUOZZ3MI4C6OOIU/action/replication_record"}},"created_at":"2026-05-18T02:43:52.445510+00:00","updated_at":"2026-05-18T02:43:52.445510+00:00"}