{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OVVGSS64IHA4NDUQV34E4KDWKP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6e4521c93650bb0cdac5cb9108f30f3a54300061682939d8838b4fba657de124","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-08T18:19:15Z","title_canon_sha256":"ed9920c0180a59d46cddc2a1f87dc54051b7186eda92970157c50f4f90511dc0"},"schema_version":"1.0","source":{"id":"1202.1788","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1788","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1788v4","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1788","created_at":"2026-05-18T03:40:51Z"},{"alias_kind":"pith_short_12","alias_value":"OVVGSS64IHA4","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OVVGSS64IHA4NDUQ","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OVVGSS64","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:3a39993d98d0238d794716885d76375212f024ea99ee3230b5c530999ce14f74","target":"graph","created_at":"2026-05-18T03:40:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We show that the Maharam extension of a conservative. non singular K Bernoulli shift without an a.c.i.p. is a K transformation. This together with the fact that the Maharam extension of a conservative transformation is conservative gives a negative answer to Krengel's and Weiss's questions about existence of a type II}_\\infty or type III}_\\lambda with \\lambda not equal to 1 Bernoulli shift. A conservative non singular K Bernoulli shift is either of type II_1 or of type III_1.","authors_text":"Zemer Kosloff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-08T18:19:15Z","title":"On the K property for Maharam extensions of Bernoulli shifts and a question of Krengel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1788","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eef49f362d6fec01f1efa46771b5ccbccb95215b2ee23a197f331ee7a1ffac4f","target":"record","created_at":"2026-05-18T03:40:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6e4521c93650bb0cdac5cb9108f30f3a54300061682939d8838b4fba657de124","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-02-08T18:19:15Z","title_canon_sha256":"ed9920c0180a59d46cddc2a1f87dc54051b7186eda92970157c50f4f90511dc0"},"schema_version":"1.0","source":{"id":"1202.1788","kind":"arxiv","version":4}},"canonical_sha256":"756a694bdc41c1c68e90aef84e287653f402c316f4744ebcd8ae007058094e70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"756a694bdc41c1c68e90aef84e287653f402c316f4744ebcd8ae007058094e70","first_computed_at":"2026-05-18T03:40:51.428359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:51.428359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HiG99IOVOx6kbClGmPJhUNDExNLH25ijcGKw08AVMm7SzoDAZbaDH5BRtQLDn5Ifv6MDESld0g+oxKdoUEuoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:51.429852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1788","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eef49f362d6fec01f1efa46771b5ccbccb95215b2ee23a197f331ee7a1ffac4f","sha256:3a39993d98d0238d794716885d76375212f024ea99ee3230b5c530999ce14f74"],"state_sha256":"2931104e84fb4ef5a94de0c5a7c538f219d289281fe0d743bd5e47499667704f"}