{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:AY337SDATHNEIAZHBPJVTGQ5ED","short_pith_number":"pith:AY337SDA","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"},"canonical_sha256":"0637bfc86099da4403270bd3599a1d20f392bb158ca7e4288c67b7aac8f38f54","source":{"kind":"arxiv","id":"0804.3464","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3464","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3464v1","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3464","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"AY337SDATHNE","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"AY337SDATHNEIAZH","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"AY337SDA","created_at":"2026-07-04T17:10:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:AY337SDATHNEIAZHBPJVTGQ5ED","target":"record","payload":{"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"},"canonical_sha256":"0637bfc86099da4403270bd3599a1d20f392bb158ca7e4288c67b7aac8f38f54","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"},"source_kind":"arxiv","source_id":"0804.3464","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":"2026-07-04T17:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DX+6BlJltj6bHK50P9oOnMMKPzZQVkyIgJcFNHm6lYZAjn9grSVm0jk7gH7ZmSFsvKywZi+gGCp5mBBFhvCPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:16:46.730504Z"},"content_sha256":"9f62b475781a5d3332e5ee82241999a4cd8420310fac157862531a70440984ec","schema_version":"1.0","event_id":"sha256:9f62b475781a5d3332e5ee82241999a4cd8420310fac157862531a70440984ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:AY337SDATHNEIAZHBPJVTGQ5ED","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:10:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nQksbaQr70pOdjCQQwvn+HEl8ebOfjr5ZIcm2g7/dwGA6DuX9cLr+n4vHdp/iWXwh2GD9pObatnKtqOouHGgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:16:46.730904Z"},"content_sha256":"b6bbdf84926023abb863ecb5309f708093752b61e3cbbc7b9840c994878798b1","schema_version":"1.0","event_id":"sha256:b6bbdf84926023abb863ecb5309f708093752b61e3cbbc7b9840c994878798b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/bundle.json","state_url":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AY337SDATHNEIAZHBPJVTGQ5ED/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":"2026-07-05T02:16:46Z","links":{"resolver":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED","bundle":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/bundle.json","state":"https://pith.science/pith/AY337SDATHNEIAZHBPJVTGQ5ED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AY337SDATHNEIAZHBPJVTGQ5ED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:AY337SDATHNEIAZHBPJVTGQ5ED","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":"ebb15554b4b5abb384072feb15d9bb1b1655f1cf3881d3225e5ed01d7b835677","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-22T08:04:37Z","title_canon_sha256":"d8718f88a44af2e143932564b16bead45ed2adc9aeca455d34fb9c29b24467a7"},"schema_version":"1.0","source":{"id":"0804.3464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3464","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3464v1","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3464","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"pith_short_12","alias_value":"AY337SDATHNE","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"pith_short_16","alias_value":"AY337SDATHNEIAZH","created_at":"2026-07-04T17:10:27Z"},{"alias_kind":"pith_short_8","alias_value":"AY337SDA","created_at":"2026-07-04T17:10:27Z"}],"graph_snapshots":[{"event_id":"sha256:b6bbdf84926023abb863ecb5309f708093752b61e3cbbc7b9840c994878798b1","target":"graph","created_at":"2026-07-04T17:10:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0804.3464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Danny Stevenson, Michael K Murray","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-22T08:04:37Z","title":"The basic bundle gerbe on unitary groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3464","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":"sha256:9f62b475781a5d3332e5ee82241999a4cd8420310fac157862531a70440984ec","target":"record","created_at":"2026-07-04T17:10:27Z","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":"ebb15554b4b5abb384072feb15d9bb1b1655f1cf3881d3225e5ed01d7b835677","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-22T08:04:37Z","title_canon_sha256":"d8718f88a44af2e143932564b16bead45ed2adc9aeca455d34fb9c29b24467a7"},"schema_version":"1.0","source":{"id":"0804.3464","kind":"arxiv","version":1}},"canonical_sha256":"0637bfc86099da4403270bd3599a1d20f392bb158ca7e4288c67b7aac8f38f54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0637bfc86099da4403270bd3599a1d20f392bb158ca7e4288c67b7aac8f38f54","first_computed_at":"2026-07-04T17:10:27.662869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:10:27.662869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QrGHqBnpwXQ2a88qvvtrheibpQmhPEjrRwwL/rRLTnZo812+JYcvSVeyNalIgUpvb0VhFjVHQmMAeqlxh7JNBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:10:27.663299Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.3464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f62b475781a5d3332e5ee82241999a4cd8420310fac157862531a70440984ec","sha256:b6bbdf84926023abb863ecb5309f708093752b61e3cbbc7b9840c994878798b1"],"state_sha256":"6b9397006780a7769ab5997db2640c844de3c5529d2488f88dac5fe9399bc85d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fXpA2k4QKW6XKy6eCXuBPPGBUEZZDgfy2dK5tViCMMBD513eg5L0Eo2pXS52lzqgoi7DVTi2G2ytCX0BIyY5Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T02:16:46.732919Z","bundle_sha256":"db572c5525557f38725f9a38bb3b7cc7899a887dffe563a85cd76486e47a26cc"}}