{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:P5BZVQXODQWY7IDJ6MHGGEZCEP","short_pith_number":"pith:P5BZVQXO","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"},"canonical_sha256":"7f439ac2ee1c2d8fa069f30e63132223c86e2aad3a035a372f4a61d42dcbbb95","source":{"kind":"arxiv","id":"0903.1881","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.1881","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"arxiv_version","alias_value":"0903.1881v4","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1881","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"pith_short_12","alias_value":"P5BZVQXODQWY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"P5BZVQXODQWY7IDJ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"P5BZVQXO","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:P5BZVQXODQWY7IDJ6MHGGEZCEP","target":"record","payload":{"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"},"canonical_sha256":"7f439ac2ee1c2d8fa069f30e63132223c86e2aad3a035a372f4a61d42dcbbb95","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"},"source_kind":"arxiv","source_id":"0903.1881","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3AbO4Wdk59gMX5Q6f5g0MWLRyDPpYHj/a/9wCUyI03o+8L9r/pgzrGlBkFERmS24VPVa9AhWJmOf00TqdRm5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:26:39.395593Z"},"content_sha256":"1a0e436d247af74a65e26a7bb72c7b1e6c7082a0ecaeaab5f35a0ca0f75c99a9","schema_version":"1.0","event_id":"sha256:1a0e436d247af74a65e26a7bb72c7b1e6c7082a0ecaeaab5f35a0ca0f75c99a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:P5BZVQXODQWY7IDJ6MHGGEZCEP","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b6ew47UvQ4MX9CIcTBnVFARul/PH0NPNFzIoHiB0xVS+wHv8Y6udZkZskXsbzwwM1/mN7Nykps87kyFb1JyPBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:26:39.395935Z"},"content_sha256":"9a6bcc4c3af6dfb7290ba421bd4cc26fb37eef5731ec22c36b50de25abce469c","schema_version":"1.0","event_id":"sha256:9a6bcc4c3af6dfb7290ba421bd4cc26fb37eef5731ec22c36b50de25abce469c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/bundle.json","state_url":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T22:26:39Z","links":{"resolver":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP","bundle":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/bundle.json","state":"https://pith.science/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5BZVQXODQWY7IDJ6MHGGEZCEP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:P5BZVQXODQWY7IDJ6MHGGEZCEP","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":"13f94f567d1e9c806c7214e0d656e1bc214ce1f5635a29356afa575fb2c9e5d8","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-03-10T22:41:31Z","title_canon_sha256":"f20868787ec3ede85e1bb6b490ea8fe3e0ecfcea19493436dfcb56a799700aa4"},"schema_version":"1.0","source":{"id":"0903.1881","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.1881","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"arxiv_version","alias_value":"0903.1881v4","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.1881","created_at":"2026-05-18T03:38:03Z"},{"alias_kind":"pith_short_12","alias_value":"P5BZVQXODQWY","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"P5BZVQXODQWY7IDJ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"P5BZVQXO","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:9a6bcc4c3af6dfb7290ba421bd4cc26fb37eef5731ec22c36b50de25abce469c","target":"graph","created_at":"2026-05-18T03:38:03Z","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":"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","authors_text":"Frederic Latremoliere, Nicholas Ormes","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-03-10T22:41:31Z","title":"C*-Algebraic Characterization of Bounded Orbit Injection Equivalence for Minimal Free Cantor Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.1881","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":"sha256:1a0e436d247af74a65e26a7bb72c7b1e6c7082a0ecaeaab5f35a0ca0f75c99a9","target":"record","created_at":"2026-05-18T03:38:03Z","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":"13f94f567d1e9c806c7214e0d656e1bc214ce1f5635a29356afa575fb2c9e5d8","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2009-03-10T22:41:31Z","title_canon_sha256":"f20868787ec3ede85e1bb6b490ea8fe3e0ecfcea19493436dfcb56a799700aa4"},"schema_version":"1.0","source":{"id":"0903.1881","kind":"arxiv","version":4}},"canonical_sha256":"7f439ac2ee1c2d8fa069f30e63132223c86e2aad3a035a372f4a61d42dcbbb95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f439ac2ee1c2d8fa069f30e63132223c86e2aad3a035a372f4a61d42dcbbb95","first_computed_at":"2026-05-18T03:38:03.056873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:03.056873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CW1Y+/j8SsL5axxr7mXdrKhgXDnxjjRYAiYkbW20dmvYThIjSS0+IRlaRqA4CNj8gthcqGj0B5ZzefyQMngUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:03.057376Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.1881","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a0e436d247af74a65e26a7bb72c7b1e6c7082a0ecaeaab5f35a0ca0f75c99a9","sha256:9a6bcc4c3af6dfb7290ba421bd4cc26fb37eef5731ec22c36b50de25abce469c"],"state_sha256":"612192fa8a6f4d307ebf8821991952a087163e4194e58c30ec0d1b8aa132ce2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RcyCM4vX5NoIpYqtm80O3JUDIngGEDca0+SW734TjHPbbtUyEb1Yr/tiGqKlaLGAUbZH6bnVob9LsPts68OqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:26:39.398070Z","bundle_sha256":"5aab942205cbae13f7e54be49f6f3feca7db42dc2f0a0d07feefedaecf5891bd"}}