{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:45OW3R6XNXEP3VSMHOOPQ5WDD2","short_pith_number":"pith:45OW3R6X","canonical_record":{"source":{"id":"1608.08455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-30T14:02:37Z","cross_cats_sorted":["hep-th","math.CT","math.DG","math.MP","math.SG"],"title_canon_sha256":"a51eaeeb4e1fd91c15f4e6006f54878c819155f959aacc6032e814fa91b7d130","abstract_canon_sha256":"49a5b029835fdee2add7e30824a8baeb5230f9a9ac3ebffc5109fb5a9d94345d"},"schema_version":"1.0"},"canonical_sha256":"e75d6dc7d76dc8fdd64c3b9cf876c31e8aa0950b3215d1a8d9aa1d69e1149fc1","source":{"kind":"arxiv","id":"1608.08455","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08455","created_at":"2026-05-18T00:33:23Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08455v2","created_at":"2026-05-18T00:33:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08455","created_at":"2026-05-18T00:33:23Z"},{"alias_kind":"pith_short_12","alias_value":"45OW3R6XNXEP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"45OW3R6XNXEP3VSM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"45OW3R6X","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:45OW3R6XNXEP3VSMHOOPQ5WDD2","target":"record","payload":{"canonical_record":{"source":{"id":"1608.08455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-30T14:02:37Z","cross_cats_sorted":["hep-th","math.CT","math.DG","math.MP","math.SG"],"title_canon_sha256":"a51eaeeb4e1fd91c15f4e6006f54878c819155f959aacc6032e814fa91b7d130","abstract_canon_sha256":"49a5b029835fdee2add7e30824a8baeb5230f9a9ac3ebffc5109fb5a9d94345d"},"schema_version":"1.0"},"canonical_sha256":"e75d6dc7d76dc8fdd64c3b9cf876c31e8aa0950b3215d1a8d9aa1d69e1149fc1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:23.144659Z","signature_b64":"pfrt4czFOmS/DljUKxMp40TvorCVo+uox/JO7/IclVbobUDTA57dEOCMOD2nCSTfg9nB4ME8lAWnGZ2v1g5BDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e75d6dc7d76dc8fdd64c3b9cf876c31e8aa0950b3215d1a8d9aa1d69e1149fc1","last_reissued_at":"2026-05-18T00:33:23.143944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:23.143944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.08455","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpXfYa1aSDOxfYF1pSp78O8CX3Xv1ImNEL+EYvTVWsQEjiwxP3pgyX6CGHg2gU/y9DvXAuIH7FsnbkEcsn1mDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:37:44.034586Z"},"content_sha256":"2f507690f7fa8fdd395c31840099eb5c23ab3123be93301f37c2817a13712d09","schema_version":"1.0","event_id":"sha256:2f507690f7fa8fdd395c31840099eb5c23ab3123be93301f37c2817a13712d09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:45OW3R6XNXEP3VSMHOOPQ5WDD2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The 2-Hilbert Space of a Prequantum Bundle Gerbe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.CT","math.DG","math.MP","math.SG"],"primary_cat":"math-ph","authors_text":"Christian Saemann, Richard J. Szabo, Severin Bunk","submitted_at":"2016-08-30T14:02:37Z","abstract_excerpt":"We construct a prequantum 2-Hilbert space for any line bundle gerbe whose Dixmier-Douady class is torsion. Analogously to usual prequantisation, this 2-Hilbert space has the category of sections of the line bundle gerbe as its underlying 2-vector space. These sections are obtained as certain morphism categories in Waldorf's version of the 2-category of line bundle gerbes. We show that these morphism categories carry a monoidal structure under which they are semisimple and abelian. We introduce a dual functor on the sections, which yields a closed structure on the morphisms between bundle gerbe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08455","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7P9bUm8CcezPpsue3C4jk2eX/xBFprR0Ggpjk6TVWEF1p2AvctnYUlvyXAHH2lgZZDmZzhpxzORlXCfNrAkvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:37:44.035173Z"},"content_sha256":"f29d3218c20c7397172cc1069e2f00d29d0d1880f1022e157f243f3a7319f13e","schema_version":"1.0","event_id":"sha256:f29d3218c20c7397172cc1069e2f00d29d0d1880f1022e157f243f3a7319f13e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2/bundle.json","state_url":"https://pith.science/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2/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":"2026-05-21T19:37:44Z","links":{"resolver":"https://pith.science/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2","bundle":"https://pith.science/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2/bundle.json","state":"https://pith.science/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/45OW3R6XNXEP3VSMHOOPQ5WDD2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:45OW3R6XNXEP3VSMHOOPQ5WDD2","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":"49a5b029835fdee2add7e30824a8baeb5230f9a9ac3ebffc5109fb5a9d94345d","cross_cats_sorted":["hep-th","math.CT","math.DG","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-30T14:02:37Z","title_canon_sha256":"a51eaeeb4e1fd91c15f4e6006f54878c819155f959aacc6032e814fa91b7d130"},"schema_version":"1.0","source":{"id":"1608.08455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.08455","created_at":"2026-05-18T00:33:23Z"},{"alias_kind":"arxiv_version","alias_value":"1608.08455v2","created_at":"2026-05-18T00:33:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08455","created_at":"2026-05-18T00:33:23Z"},{"alias_kind":"pith_short_12","alias_value":"45OW3R6XNXEP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"45OW3R6XNXEP3VSM","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"45OW3R6X","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:f29d3218c20c7397172cc1069e2f00d29d0d1880f1022e157f243f3a7319f13e","target":"graph","created_at":"2026-05-18T00:33:23Z","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 construct a prequantum 2-Hilbert space for any line bundle gerbe whose Dixmier-Douady class is torsion. Analogously to usual prequantisation, this 2-Hilbert space has the category of sections of the line bundle gerbe as its underlying 2-vector space. These sections are obtained as certain morphism categories in Waldorf's version of the 2-category of line bundle gerbes. We show that these morphism categories carry a monoidal structure under which they are semisimple and abelian. We introduce a dual functor on the sections, which yields a closed structure on the morphisms between bundle gerbe","authors_text":"Christian Saemann, Richard J. Szabo, Severin Bunk","cross_cats":["hep-th","math.CT","math.DG","math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-30T14:02:37Z","title":"The 2-Hilbert Space of a Prequantum Bundle Gerbe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08455","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":"sha256:2f507690f7fa8fdd395c31840099eb5c23ab3123be93301f37c2817a13712d09","target":"record","created_at":"2026-05-18T00:33:23Z","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":"49a5b029835fdee2add7e30824a8baeb5230f9a9ac3ebffc5109fb5a9d94345d","cross_cats_sorted":["hep-th","math.CT","math.DG","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-08-30T14:02:37Z","title_canon_sha256":"a51eaeeb4e1fd91c15f4e6006f54878c819155f959aacc6032e814fa91b7d130"},"schema_version":"1.0","source":{"id":"1608.08455","kind":"arxiv","version":2}},"canonical_sha256":"e75d6dc7d76dc8fdd64c3b9cf876c31e8aa0950b3215d1a8d9aa1d69e1149fc1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e75d6dc7d76dc8fdd64c3b9cf876c31e8aa0950b3215d1a8d9aa1d69e1149fc1","first_computed_at":"2026-05-18T00:33:23.143944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:23.143944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pfrt4czFOmS/DljUKxMp40TvorCVo+uox/JO7/IclVbobUDTA57dEOCMOD2nCSTfg9nB4ME8lAWnGZ2v1g5BDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:23.144659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.08455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f507690f7fa8fdd395c31840099eb5c23ab3123be93301f37c2817a13712d09","sha256:f29d3218c20c7397172cc1069e2f00d29d0d1880f1022e157f243f3a7319f13e"],"state_sha256":"676e4283117d392083d6081084647022bc010dd0e88a3acdec07363452f41897"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d73HlgrTE658AOP3uDkc+rK1U3Jv9vSpycfh3JMb2oFAxwtf+4qHCLO57Deb0D09D9HDjGSREHJkb6d+P8m6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T19:37:44.038275Z","bundle_sha256":"69e4668c4e3864d97b1bdac54953fd074c3a1072214756b23cdeda8c1cdf7aec"}}