{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:AY337SDATHNEIAZHBPJVTGQ5ED","short_pith_number":"pith:AY337SDA","schema_version":"1.0","canonical_sha256":"0637bfc86099da4403270bd3599a1d20f392bb158ca7e4288c67b7aac8f38f54","source":{"kind":"arxiv","id":"0804.3464","version":1},"attestation_state":"computed","paper":{"title":"The basic bundle gerbe on unitary groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Danny Stevenson, Michael K Murray","submitted_at":"2008-04-22T08:04:37Z","abstract_excerpt":"We consider the construction of the basic bundle gerbe on SU(n) introduced by Meinrenken and show that it extends to a range of groups with unitary actions on a Hilbert space including U(n), diagonal tori and the Banach Lie group of unitary operators differing from the identity by an element of a Schatten ideal. In all these cases we give an explicit connection and curving on the basic bundle gerbe and calculate the real Dixmier-Douady class. Extensive use is made of the holomorphic functional calculus for operators on a Hilbert space."},"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":"0804.3464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-22T08:04:37Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d8718f88a44af2e143932564b16bead45ed2adc9aeca455d34fb9c29b24467a7","abstract_canon_sha256":"ebb15554b4b5abb384072feb15d9bb1b1655f1cf3881d3225e5ed01d7b835677"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:10:27.663299Z","signature_b64":"QrGHqBnpwXQ2a88qvvtrheibpQmhPEjrRwwL/rRLTnZo812+JYcvSVeyNalIgUpvb0VhFjVHQmMAeqlxh7JNBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0637bfc86099da4403270bd3599a1d20f392bb158ca7e4288c67b7aac8f38f54","last_reissued_at":"2026-07-04T17:10:27.662869Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:10:27.662869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The basic bundle gerbe on unitary groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Danny Stevenson, Michael K Murray","submitted_at":"2008-04-22T08:04:37Z","abstract_excerpt":"We consider the construction of the basic bundle gerbe on SU(n) introduced by Meinrenken and show that it extends to a range of groups with unitary actions on a Hilbert space including U(n), diagonal tori and the Banach Lie group of unitary operators differing from the identity by an element of a Schatten ideal. In all these cases we give an explicit connection and curving on the basic bundle gerbe and calculate the real Dixmier-Douady class. Extensive use is made of the holomorphic functional calculus for operators on a Hilbert space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3464","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0804.3464/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0804.3464","created_at":"2026-07-04T17:10:27.662938+00:00"},{"alias_kind":"arxiv_version","alias_value":"0804.3464v1","created_at":"2026-07-04T17:10:27.662938+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3464","created_at":"2026-07-04T17:10:27.662938+00:00"},{"alias_kind":"pith_short_12","alias_value":"AY337SDATHNE","created_at":"2026-07-04T17:10:27.662938+00:00"},{"alias_kind":"pith_short_16","alias_value":"AY337SDATHNEIAZH","created_at":"2026-07-04T17:10:27.662938+00:00"},{"alias_kind":"pith_short_8","alias_value":"AY337SDA","created_at":"2026-07-04T17:10:27.662938+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/AY337SDATHNEIAZHBPJVTGQ5ED","json":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED.json","graph_json":"https://pith.science/api/pith-number/AY337SDATHNEIAZHBPJVTGQ5ED/graph.json","events_json":"https://pith.science/api/pith-number/AY337SDATHNEIAZHBPJVTGQ5ED/events.json","paper":"https://pith.science/paper/AY337SDA"},"agent_actions":{"view_html":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED","download_json":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED.json","view_paper":"https://pith.science/paper/AY337SDA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0804.3464&json=true","fetch_graph":"https://pith.science/api/pith-number/AY337SDATHNEIAZHBPJVTGQ5ED/graph.json","fetch_events":"https://pith.science/api/pith-number/AY337SDATHNEIAZHBPJVTGQ5ED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/action/storage_attestation","attest_author":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/action/author_attestation","sign_citation":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/action/citation_signature","submit_replication":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/action/replication_record"}},"created_at":"2026-07-04T17:10:27.662938+00:00","updated_at":"2026-07-04T17:10:27.662938+00:00"}