{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NLACURLBHZAB6HUCSYFI4RQMOE","short_pith_number":"pith:NLACURLB","schema_version":"1.0","canonical_sha256":"6ac02a45613e401f1e82960a8e460c710162e3bafe185f87ffba692f77d64515","source":{"kind":"arxiv","id":"1301.6883","version":1},"attestation_state":"computed","paper":{"title":"On Nuclearity of $C^*$-algebras of Fell bundles over \\'etale groupoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Takuya Takeishi","submitted_at":"2013-01-29T10:20:55Z","abstract_excerpt":"In this paper, we show that if E is a Fell bundle over an amenable \\'etale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then $C?^*r(E)$ is also nuclear. In order to show this result, we introduce (minimal) tensor products of Fell bundles with fixed $C^*$-algebras."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1301.6883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-01-29T10:20:55Z","cross_cats_sorted":[],"title_canon_sha256":"e848b3d23a55399c204cc7608688e4daffd2a040d0d2993a0ea3dd8d978560b4","abstract_canon_sha256":"9b7d5c3e5a66165b2e401a407b36e4977efcfe62f7d5275420b25e269eb56cae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:12.053693Z","signature_b64":"PMcqppXWTV5zTV74j4foddcZegzweZBmpbra+2/Ct+rGo/y+hcpTNL9lc5PTiDylc6YseOUOEo9vlEBdX/WGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ac02a45613e401f1e82960a8e460c710162e3bafe185f87ffba692f77d64515","last_reissued_at":"2026-05-18T03:35:12.052976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:12.052976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Nuclearity of $C^*$-algebras of Fell bundles over \\'etale groupoids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Takuya Takeishi","submitted_at":"2013-01-29T10:20:55Z","abstract_excerpt":"In this paper, we show that if E is a Fell bundle over an amenable \\'etale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then $C?^*r(E)$ is also nuclear. In order to show this result, we introduce (minimal) tensor products of Fell bundles with fixed $C^*$-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6883","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1301.6883","created_at":"2026-05-18T03:35:12.053100+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.6883v1","created_at":"2026-05-18T03:35:12.053100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6883","created_at":"2026-05-18T03:35:12.053100+00:00"},{"alias_kind":"pith_short_12","alias_value":"NLACURLBHZAB","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NLACURLBHZAB6HUC","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NLACURLB","created_at":"2026-05-18T12:27:52.871228+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE","json":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE.json","graph_json":"https://pith.science/api/pith-number/NLACURLBHZAB6HUCSYFI4RQMOE/graph.json","events_json":"https://pith.science/api/pith-number/NLACURLBHZAB6HUCSYFI4RQMOE/events.json","paper":"https://pith.science/paper/NLACURLB"},"agent_actions":{"view_html":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE","download_json":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE.json","view_paper":"https://pith.science/paper/NLACURLB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.6883&json=true","fetch_graph":"https://pith.science/api/pith-number/NLACURLBHZAB6HUCSYFI4RQMOE/graph.json","fetch_events":"https://pith.science/api/pith-number/NLACURLBHZAB6HUCSYFI4RQMOE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE/action/storage_attestation","attest_author":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE/action/author_attestation","sign_citation":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE/action/citation_signature","submit_replication":"https://pith.science/pith/NLACURLBHZAB6HUCSYFI4RQMOE/action/replication_record"}},"created_at":"2026-05-18T03:35:12.053100+00:00","updated_at":"2026-05-18T03:35:12.053100+00:00"}