{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:P5BZVQXODQWY7IDJ6MHGGEZCEP","short_pith_number":"pith:P5BZVQXO","schema_version":"1.0","canonical_sha256":"7f439ac2ee1c2d8fa069f30e63132223c86e2aad3a035a372f4a61d42dcbbb95","source":{"kind":"arxiv","id":"0903.1881","version":4},"attestation_state":"computed","paper":{"title":"C*-Algebraic Characterization of Bounded Orbit Injection Equivalence for Minimal Free Cantor Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.DS","authors_text":"Frederic Latremoliere, Nicholas Ormes","submitted_at":"2009-03-10T22:41:31Z","abstract_excerpt":"Bounded orbit injection equivalence is an equivalence relation defined on minimal free Cantor systems which is a candidate to generalize flip Kakutani equivalence to actions of the Abelian free groups on more than one generator. This paper characterizes bounded orbit injection equivalence in terms of a mild strengthening of Rieffel-Morita equivalence of the associated C*-crossed-product algebras. Moreover, we construct an ordered group which is an invariant for bounded orbit injection equivalence, and does not agrees with the K\\_0 group of the associated C*-crossed-product in general. This new"},"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":"0903.1881","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-03-10T22:41:31Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"f20868787ec3ede85e1bb6b490ea8fe3e0ecfcea19493436dfcb56a799700aa4","abstract_canon_sha256":"13f94f567d1e9c806c7214e0d656e1bc214ce1f5635a29356afa575fb2c9e5d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:03.057376Z","signature_b64":"CW1Y+/j8SsL5axxr7mXdrKhgXDnxjjRYAiYkbW20dmvYThIjSS0+IRlaRqA4CNj8gthcqGj0B5ZzefyQMngUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f439ac2ee1c2d8fa069f30e63132223c86e2aad3a035a372f4a61d42dcbbb95","last_reissued_at":"2026-05-18T03:38:03.056873Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:03.056873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"C*-Algebraic Characterization of Bounded Orbit Injection Equivalence for Minimal Free Cantor Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.DS","authors_text":"Frederic Latremoliere, Nicholas Ormes","submitted_at":"2009-03-10T22:41:31Z","abstract_excerpt":"Bounded orbit injection equivalence is an equivalence relation defined on minimal free Cantor systems which is a candidate to generalize flip Kakutani equivalence to actions of the Abelian free groups on more than one generator. This paper characterizes bounded orbit injection equivalence in terms of a mild strengthening of Rieffel-Morita equivalence of the associated C*-crossed-product algebras. Moreover, we construct an ordered group which is an invariant for bounded orbit injection equivalence, and does not agrees with the K\\_0 group of the associated C*-crossed-product in general. This new"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1881","kind":"arxiv","version":4},"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":"0903.1881","created_at":"2026-05-18T03:38:03.056948+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.1881v4","created_at":"2026-05-18T03:38:03.056948+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1881","created_at":"2026-05-18T03:38:03.056948+00:00"},{"alias_kind":"pith_short_12","alias_value":"P5BZVQXODQWY","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"P5BZVQXODQWY7IDJ","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"P5BZVQXO","created_at":"2026-05-18T12:26:01.383474+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/P5BZVQXODQWY7IDJ6MHGGEZCEP","json":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP.json","graph_json":"https://pith.science/api/pith-number/P5BZVQXODQWY7IDJ6MHGGEZCEP/graph.json","events_json":"https://pith.science/api/pith-number/P5BZVQXODQWY7IDJ6MHGGEZCEP/events.json","paper":"https://pith.science/paper/P5BZVQXO"},"agent_actions":{"view_html":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP","download_json":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP.json","view_paper":"https://pith.science/paper/P5BZVQXO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.1881&json=true","fetch_graph":"https://pith.science/api/pith-number/P5BZVQXODQWY7IDJ6MHGGEZCEP/graph.json","fetch_events":"https://pith.science/api/pith-number/P5BZVQXODQWY7IDJ6MHGGEZCEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/action/storage_attestation","attest_author":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/action/author_attestation","sign_citation":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/action/citation_signature","submit_replication":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/action/replication_record"}},"created_at":"2026-05-18T03:38:03.056948+00:00","updated_at":"2026-05-18T03:38:03.056948+00:00"}