{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:J7PH4KMXFCXZHUPLJXYQX4YAQO","short_pith_number":"pith:J7PH4KMX","canonical_record":{"source":{"id":"2202.10311","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2022-02-21T15:35:50Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"3429333002fe2e6952347da3e91306bce4bb5974dcc100c694f79991bebc7d4a","abstract_canon_sha256":"7b733a17a5f6c8b8f13e4d440adec8c8c742835853a01136687bae6744422f5d"},"schema_version":"1.0"},"canonical_sha256":"4fde7e299728af93d1eb4df10bf30083add74125146b4d026496d0f95a46070e","source":{"kind":"arxiv","id":"2202.10311","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.10311","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"2202.10311v2","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.10311","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"J7PH4KMXFCXZ","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"pith_short_16","alias_value":"J7PH4KMXFCXZHUPL","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"pith_short_8","alias_value":"J7PH4KMX","created_at":"2026-07-05T05:30:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:J7PH4KMXFCXZHUPLJXYQX4YAQO","target":"record","payload":{"canonical_record":{"source":{"id":"2202.10311","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2022-02-21T15:35:50Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"3429333002fe2e6952347da3e91306bce4bb5974dcc100c694f79991bebc7d4a","abstract_canon_sha256":"7b733a17a5f6c8b8f13e4d440adec8c8c742835853a01136687bae6744422f5d"},"schema_version":"1.0"},"canonical_sha256":"4fde7e299728af93d1eb4df10bf30083add74125146b4d026496d0f95a46070e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:30:54.869942Z","signature_b64":"6fp4yDLNjVlcRBTSwCWKEG8ZjKyUPUiQOqBnuCp++mesOYpFFfjbn/oALdeSeSs8JA5Fr+J3ogf2oz42LM3iDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fde7e299728af93d1eb4df10bf30083add74125146b4d026496d0f95a46070e","last_reissued_at":"2026-07-05T05:30:54.869554Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:30:54.869554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.10311","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:30:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HzRPLrgDmEo3Cd2mXOodSKjctHYgfzPSv00aY/5CRq1uKP77OWXznHplPRWP2xmuSZ3rR5pdXY/GoN2PBMtCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:33:36.862883Z"},"content_sha256":"c1bc0df6c3578c7cc931dbbb76e7c36699b906599b4d08520e6f8d9e428c1fcd","schema_version":"1.0","event_id":"sha256:c1bc0df6c3578c7cc931dbbb76e7c36699b906599b4d08520e6f8d9e428c1fcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:J7PH4KMXFCXZHUPLJXYQX4YAQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\mathrm{C}^*$-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OA","authors_text":"Dawn E. Archey, Ja A Jeong, Karen R. Strung, Magdalena C. Georgescu, Maria Grazia Viola, Maria Stella Adamo, Marzieh Forough","submitted_at":"2022-02-21T15:35:50Z","abstract_excerpt":"In this paper we study Cuntz--Pimsner algebras associated to $\\mathrm{C}^*$-correspondences over commutative $\\mathrm{C}^*$-algebras from the point of view of the $\\mathrm{C}^*$-algebra classification programme. We show that when the correspondence comes from an aperiodic homeomorphism of a finite-dimensional infinite compact metric space $X$ twisted by a vector bundle, the resulting Cuntz--Pimsner algebras have finite nuclear dimension. When the homeomorphism is minimal, this entails classification of these $\\mathrm{C}^*$-algebras by the Elliott invariant. This establishes a dichotomy: when t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.10311","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.10311/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:30:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZbV+vwvkUwN5sYv4jygKFD6/ek6w0kElYGfpXI6OXY7ZUr4N40hfWgb7oz8ZI5CA33PXL0c2G/pcEUYi3yj+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:33:36.863256Z"},"content_sha256":"22be2bfb042ec9f0cad79234cdb591975455e5e7abecf054feb56929e5e6f524","schema_version":"1.0","event_id":"sha256:22be2bfb042ec9f0cad79234cdb591975455e5e7abecf054feb56929e5e6f524"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO/bundle.json","state_url":"https://pith.science/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO/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":"2026-07-07T12:33:36Z","links":{"resolver":"https://pith.science/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO","bundle":"https://pith.science/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO/bundle.json","state":"https://pith.science/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7PH4KMXFCXZHUPLJXYQX4YAQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:J7PH4KMXFCXZHUPLJXYQX4YAQO","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":"7b733a17a5f6c8b8f13e4d440adec8c8c742835853a01136687bae6744422f5d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2022-02-21T15:35:50Z","title_canon_sha256":"3429333002fe2e6952347da3e91306bce4bb5974dcc100c694f79991bebc7d4a"},"schema_version":"1.0","source":{"id":"2202.10311","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.10311","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"arxiv_version","alias_value":"2202.10311v2","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.10311","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"pith_short_12","alias_value":"J7PH4KMXFCXZ","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"pith_short_16","alias_value":"J7PH4KMXFCXZHUPL","created_at":"2026-07-05T05:30:54Z"},{"alias_kind":"pith_short_8","alias_value":"J7PH4KMX","created_at":"2026-07-05T05:30:54Z"}],"graph_snapshots":[{"event_id":"sha256:22be2bfb042ec9f0cad79234cdb591975455e5e7abecf054feb56929e5e6f524","target":"graph","created_at":"2026-07-05T05:30:54Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2202.10311/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we study Cuntz--Pimsner algebras associated to $\\mathrm{C}^*$-correspondences over commutative $\\mathrm{C}^*$-algebras from the point of view of the $\\mathrm{C}^*$-algebra classification programme. We show that when the correspondence comes from an aperiodic homeomorphism of a finite-dimensional infinite compact metric space $X$ twisted by a vector bundle, the resulting Cuntz--Pimsner algebras have finite nuclear dimension. When the homeomorphism is minimal, this entails classification of these $\\mathrm{C}^*$-algebras by the Elliott invariant. This establishes a dichotomy: when t","authors_text":"Dawn E. Archey, Ja A Jeong, Karen R. Strung, Magdalena C. Georgescu, Maria Grazia Viola, Maria Stella Adamo, Marzieh Forough","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2022-02-21T15:35:50Z","title":"$\\mathrm{C}^*$-algebras associated to homeomorphisms twisted by vector bundles over finite dimensional spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.10311","kind":"arxiv","version":2},"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:c1bc0df6c3578c7cc931dbbb76e7c36699b906599b4d08520e6f8d9e428c1fcd","target":"record","created_at":"2026-07-05T05:30:54Z","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":"7b733a17a5f6c8b8f13e4d440adec8c8c742835853a01136687bae6744422f5d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2022-02-21T15:35:50Z","title_canon_sha256":"3429333002fe2e6952347da3e91306bce4bb5974dcc100c694f79991bebc7d4a"},"schema_version":"1.0","source":{"id":"2202.10311","kind":"arxiv","version":2}},"canonical_sha256":"4fde7e299728af93d1eb4df10bf30083add74125146b4d026496d0f95a46070e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fde7e299728af93d1eb4df10bf30083add74125146b4d026496d0f95a46070e","first_computed_at":"2026-07-05T05:30:54.869554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:54.869554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6fp4yDLNjVlcRBTSwCWKEG8ZjKyUPUiQOqBnuCp++mesOYpFFfjbn/oALdeSeSs8JA5Fr+J3ogf2oz42LM3iDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:54.869942Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.10311","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1bc0df6c3578c7cc931dbbb76e7c36699b906599b4d08520e6f8d9e428c1fcd","sha256:22be2bfb042ec9f0cad79234cdb591975455e5e7abecf054feb56929e5e6f524"],"state_sha256":"ab130fecaa9de6afa3a829784e0b2dbbd37241ef15a88d5e83e5fb76585d7bc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZlT3ZEgO6M0KgtqbBp5dwbYDlRbPkv6oi1u20/9uLNvV69E6hoBYw9XoiVLoEV+UzvGTDJhz1DgS4C7pCeTBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:33:36.865218Z","bundle_sha256":"1ed9d0e81b37d23cd4fb333424c599d4ffba2b298e50a32a121d486cb86950db"}}