{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OEAVBKJ2RU6GWFRDI476BCWIOF","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":"053451b8ff3ef16ba4a7ef19e5caa385dec7151da35ea8158e4cfb190d17ce7b","cross_cats_sorted":["math.FA","math.GR","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-04-19T16:41:10Z","title_canon_sha256":"46526d6e6c1535d66fd40b5afb7cdd5394a13d2bcdbadff7eeb8924aee62ef63"},"schema_version":"1.0","source":{"id":"1904.09873","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09873","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09873v1","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09873","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"OEAVBKJ2RU6G","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OEAVBKJ2RU6GWFRD","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OEAVBKJ2","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:e8e1a383748be26567df48fa56b6d5b449c846877bef03dd1429fb89fff1a7e8","target":"graph","created_at":"2026-05-17T23:48:03Z","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":"Let $G=K\\ltimes A$ be the semi-direct product group of a compact group $K$ acting on an abelian locally compact group $A$. We describe the $C^*$-algebra $C^*(G)$ of $G$ in terms of an algebra of operator fields defined over the spectrum of $G $, generalizing previous results obtained for some special classes of such groups.","authors_text":"Hedi Regeiba, Jean Ludwig","cross_cats":["math.FA","math.GR","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-04-19T16:41:10Z","title":"The C*-algebra of the semi-direct product K and A"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09873","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:b0919f34d9a895825de30721ba6d1b465b91cd7c0ff87aff15a89b6dde1a0808","target":"record","created_at":"2026-05-17T23:48:03Z","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":"053451b8ff3ef16ba4a7ef19e5caa385dec7151da35ea8158e4cfb190d17ce7b","cross_cats_sorted":["math.FA","math.GR","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2019-04-19T16:41:10Z","title_canon_sha256":"46526d6e6c1535d66fd40b5afb7cdd5394a13d2bcdbadff7eeb8924aee62ef63"},"schema_version":"1.0","source":{"id":"1904.09873","kind":"arxiv","version":1}},"canonical_sha256":"710150a93a8d3c6b1623473fe08ac87144dfa1de37afee042127016ac1670d84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"710150a93a8d3c6b1623473fe08ac87144dfa1de37afee042127016ac1670d84","first_computed_at":"2026-05-17T23:48:03.006644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:03.006644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DZ8x8WLTnawFGr1RLydaNJDFl4DS3RYyKfY8KTQ6DSQRyjigK7DO0+Wvadf9Cm+wMqycEV73CpXzXqFOrppdCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:03.007388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.09873","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0919f34d9a895825de30721ba6d1b465b91cd7c0ff87aff15a89b6dde1a0808","sha256:e8e1a383748be26567df48fa56b6d5b449c846877bef03dd1429fb89fff1a7e8"],"state_sha256":"7cb5db4312d8aa871434b610d4a7eae7b267c2131eba690084b81e7dc047d233"}