{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5LBG4QCDJONTUOZUDNYGMRVRVD","short_pith_number":"pith:5LBG4QCD","canonical_record":{"source":{"id":"1205.3016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-05-14T13:27:12Z","cross_cats_sorted":[],"title_canon_sha256":"8ed7dde5cd883ff26152f6e3b5913b0e936f2005e7f63a5ab2e4ed03de24b754","abstract_canon_sha256":"e20db8bbe0623734e3e1dcaa4a5d2b8c0f7457b3731ec532a26542ec79c4c9b3"},"schema_version":"1.0"},"canonical_sha256":"eac26e40434b9b3a3b341b706646b1a8f0ff303ba8c0569c3cbed12a638fdf8d","source":{"kind":"arxiv","id":"1205.3016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3016","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3016v1","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3016","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"5LBG4QCDJONT","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5LBG4QCDJONTUOZU","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5LBG4QCD","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5LBG4QCDJONTUOZUDNYGMRVRVD","target":"record","payload":{"canonical_record":{"source":{"id":"1205.3016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-05-14T13:27:12Z","cross_cats_sorted":[],"title_canon_sha256":"8ed7dde5cd883ff26152f6e3b5913b0e936f2005e7f63a5ab2e4ed03de24b754","abstract_canon_sha256":"e20db8bbe0623734e3e1dcaa4a5d2b8c0f7457b3731ec532a26542ec79c4c9b3"},"schema_version":"1.0"},"canonical_sha256":"eac26e40434b9b3a3b341b706646b1a8f0ff303ba8c0569c3cbed12a638fdf8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:47.313586Z","signature_b64":"LNmmwt5JYRFBxQirgLI28zjT1mFhufMV58tR2MVghN4evfPTCOrBTddfVB+T8vBX8ZxnLMyVXNBJMmW6brBBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eac26e40434b9b3a3b341b706646b1a8f0ff303ba8c0569c3cbed12a638fdf8d","last_reissued_at":"2026-05-18T02:54:47.313158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:47.313158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.3016","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:54:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eYGjo3r8PMT52i+nxAHnxNkZvy86OsY4l+rYXdS8+1d1GW843sO8Lx0Opi5cxCVtTxrl+SpIosQ0uvmXOpk9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:56:11.785837Z"},"content_sha256":"9abd00e391410368aa8c818b2e43b93c1538825cb4d085e6f8f094e38afc71cc","schema_version":"1.0","event_id":"sha256:9abd00e391410368aa8c818b2e43b93c1538825cb4d085e6f8f094e38afc71cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5LBG4QCDJONTUOZUDNYGMRVRVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conjugate Dynamical Systems on C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Evgenios T. A. Kakariadis, Kenneth R. Davidson","submitted_at":"2012-05-14T13:27:12Z","abstract_excerpt":"Let $(A, \\alpha)$ and $(B, \\beta)$ be C*-dynamical systems where $\\alpha$ and $\\beta$ are arbitrary *-endomorphisms. When $\\alpha$ is injective or surjective, we show that the semicrossed products $A \\times_\\alpha \\mathbb{Z}$ and $B \\times_\\beta \\mathbb{Z}$ are isometrically isomorphic if and only if $(A, \\alpha)$ and $(B, \\beta)$ are outer conjugate. This conclusion also holds in various other cases as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3016","kind":"arxiv","version":1},"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":"2026-05-18T02:54:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+39xJH686dPHWBaRTTLwO9nt+LEJDHImfjnIy6g0+ed3/kBFJRWhFltPf64FGzwC/zktHJ4XsjIGVHtQEgl9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:56:11.786551Z"},"content_sha256":"00b24c25fa911a7db5bd92c4dbdea94f31854285323da31aa16bb68b71a38a5e","schema_version":"1.0","event_id":"sha256:00b24c25fa911a7db5bd92c4dbdea94f31854285323da31aa16bb68b71a38a5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5LBG4QCDJONTUOZUDNYGMRVRVD/bundle.json","state_url":"https://pith.science/pith/5LBG4QCDJONTUOZUDNYGMRVRVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5LBG4QCDJONTUOZUDNYGMRVRVD/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":"2026-06-11T22:56:11Z","links":{"resolver":"https://pith.science/pith/5LBG4QCDJONTUOZUDNYGMRVRVD","bundle":"https://pith.science/pith/5LBG4QCDJONTUOZUDNYGMRVRVD/bundle.json","state":"https://pith.science/pith/5LBG4QCDJONTUOZUDNYGMRVRVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5LBG4QCDJONTUOZUDNYGMRVRVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5LBG4QCDJONTUOZUDNYGMRVRVD","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":"e20db8bbe0623734e3e1dcaa4a5d2b8c0f7457b3731ec532a26542ec79c4c9b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-05-14T13:27:12Z","title_canon_sha256":"8ed7dde5cd883ff26152f6e3b5913b0e936f2005e7f63a5ab2e4ed03de24b754"},"schema_version":"1.0","source":{"id":"1205.3016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.3016","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1205.3016v1","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3016","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"5LBG4QCDJONT","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"5LBG4QCDJONTUOZU","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"5LBG4QCD","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:00b24c25fa911a7db5bd92c4dbdea94f31854285323da31aa16bb68b71a38a5e","target":"graph","created_at":"2026-05-18T02:54:47Z","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":"Let $(A, \\alpha)$ and $(B, \\beta)$ be C*-dynamical systems where $\\alpha$ and $\\beta$ are arbitrary *-endomorphisms. When $\\alpha$ is injective or surjective, we show that the semicrossed products $A \\times_\\alpha \\mathbb{Z}$ and $B \\times_\\beta \\mathbb{Z}$ are isometrically isomorphic if and only if $(A, \\alpha)$ and $(B, \\beta)$ are outer conjugate. This conclusion also holds in various other cases as well.","authors_text":"Evgenios T. A. Kakariadis, Kenneth R. Davidson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-05-14T13:27:12Z","title":"Conjugate Dynamical Systems on C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3016","kind":"arxiv","version":1},"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":"sha256:9abd00e391410368aa8c818b2e43b93c1538825cb4d085e6f8f094e38afc71cc","target":"record","created_at":"2026-05-18T02:54:47Z","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":"e20db8bbe0623734e3e1dcaa4a5d2b8c0f7457b3731ec532a26542ec79c4c9b3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-05-14T13:27:12Z","title_canon_sha256":"8ed7dde5cd883ff26152f6e3b5913b0e936f2005e7f63a5ab2e4ed03de24b754"},"schema_version":"1.0","source":{"id":"1205.3016","kind":"arxiv","version":1}},"canonical_sha256":"eac26e40434b9b3a3b341b706646b1a8f0ff303ba8c0569c3cbed12a638fdf8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eac26e40434b9b3a3b341b706646b1a8f0ff303ba8c0569c3cbed12a638fdf8d","first_computed_at":"2026-05-18T02:54:47.313158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:47.313158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LNmmwt5JYRFBxQirgLI28zjT1mFhufMV58tR2MVghN4evfPTCOrBTddfVB+T8vBX8ZxnLMyVXNBJMmW6brBBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:47.313586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.3016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9abd00e391410368aa8c818b2e43b93c1538825cb4d085e6f8f094e38afc71cc","sha256:00b24c25fa911a7db5bd92c4dbdea94f31854285323da31aa16bb68b71a38a5e"],"state_sha256":"14f0d3bfb078eee0177683926584001935d3bed22ed0061107d785b5e3d2c42e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i4ZdmmJN+PquYqdoWm4kQjIoaCXnXUIzFszxahLOwSy7dJGBs96Arz5uSZxlrKntVL+1OALVDLhJoUxljU/EDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:56:11.790890Z","bundle_sha256":"b583ac79f7b3175fba50f056ca597730dd058576bc57aa62412ec07aac0c73ae"}}