{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HVAIJMJYWABCIQWSC5E423EBCP","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":"7d98606b9c07061df578c56558be0b3e0d07e04a2d3a07cdc43662699f6b8e4d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-12-24T20:36:59Z","title_canon_sha256":"154a404e4165057d3156bb662b4b3647795c1f1b934157fac6da0caef102653f"},"schema_version":"1.0","source":{"id":"1212.5963","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5963","created_at":"2026-05-18T03:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5963v2","created_at":"2026-05-18T03:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5963","created_at":"2026-05-18T03:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"HVAIJMJYWABC","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HVAIJMJYWABCIQWS","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HVAIJMJY","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:d48b93b621a1df4e00787a439b09a75436ed442a5266f90b080ab1ed544bd6f7","target":"graph","created_at":"2026-05-18T03:34:25Z","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 prove that the C*-algebra of the universal (n,m)-dynamical system may be obtained, up to Morita-Rieffel equivalence, as the crossed-product relative to an interaction on a commutative C*-algebra. The interaction involved is shown not to be part of an interaction group.","authors_text":"Ruy Exel","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-12-24T20:36:59Z","title":"Interactions and dynamical systems of type (n,m) - A case study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5963","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":"sha256:44c07fb45ecbae2d762240f176fc4fc66885df76273b51408321a07cc79f382b","target":"record","created_at":"2026-05-18T03:34:25Z","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":"7d98606b9c07061df578c56558be0b3e0d07e04a2d3a07cdc43662699f6b8e4d","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-12-24T20:36:59Z","title_canon_sha256":"154a404e4165057d3156bb662b4b3647795c1f1b934157fac6da0caef102653f"},"schema_version":"1.0","source":{"id":"1212.5963","kind":"arxiv","version":2}},"canonical_sha256":"3d4084b138b0022442d21749cd6c8113f12f4c39050752e1acf565f0e8d5accd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d4084b138b0022442d21749cd6c8113f12f4c39050752e1acf565f0e8d5accd","first_computed_at":"2026-05-18T03:34:25.043670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:25.043670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wTAKN6HmDFLTnt6QZNge2Xm0yV47RDfaskrBr9L1QqsPt7+OHoA5zW/xr/+DobexWC3vGJwSRTZZCSy64J9mBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:25.044339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5963","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44c07fb45ecbae2d762240f176fc4fc66885df76273b51408321a07cc79f382b","sha256:d48b93b621a1df4e00787a439b09a75436ed442a5266f90b080ab1ed544bd6f7"],"state_sha256":"6a5c72b56ebc096cd92b711542baf692b2edb7a2ff1c25ee7dadb18eca701ff3"}