{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LAZCQLYET7QWZEAEOIZBMRIKBK","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":"d76960d2f5c54219b9542e7f63a4f0c258aab46d26e92a99371c97673988a8c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-10-26T19:53:22Z","title_canon_sha256":"b5a16b190db1d76b5172db5b5ca1f3ef649361db8bc785a77dde708a6c7104c0"},"schema_version":"1.0","source":{"id":"1110.5897","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5897","created_at":"2026-05-18T04:10:10Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5897v1","created_at":"2026-05-18T04:10:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5897","created_at":"2026-05-18T04:10:10Z"},{"alias_kind":"pith_short_12","alias_value":"LAZCQLYET7QW","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LAZCQLYET7QWZEAE","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LAZCQLYE","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:a8e5387a9138197c866e9431daeaa2a74f21cdcc3d590ca3fff0fc96fe480d0a","target":"graph","created_at":"2026-05-18T04:10:10Z","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":"Representing Z/N as roots of unity, we restrict a natural U(1)-action on the Heegaard quantum sphere to Z/N, and call the quotient spaces Heegaard quantum lens spaces. Then we use this representation of Z/N to construct an associated complex line bundle. This paper proves the stable non-triviality of these line bundles over any of the quantum lens spaces we consider. We use the pullback structure of the C*-algebra of the lens space to compute its K-theory via the Mayer-Vietoris sequence, and an explicit form of the Bass connecting homomorphism to prove the stable non-triviality of the bundles.","authors_text":"Adam Rennie, Bartosz Zielinski, Piotr M. Hajac","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-10-26T19:53:22Z","title":"The K-theory of Heegaard quantum lens spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5897","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":"sha256:41c9f61e340508e5313f82e00702f0ccf4c91e40168772897e4258e8b8c28e39","target":"record","created_at":"2026-05-18T04:10:10Z","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":"d76960d2f5c54219b9542e7f63a4f0c258aab46d26e92a99371c97673988a8c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2011-10-26T19:53:22Z","title_canon_sha256":"b5a16b190db1d76b5172db5b5ca1f3ef649361db8bc785a77dde708a6c7104c0"},"schema_version":"1.0","source":{"id":"1110.5897","kind":"arxiv","version":1}},"canonical_sha256":"5832282f049fe16c9004723216450a0a906808d4acb0b680007e78b4221d86b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5832282f049fe16c9004723216450a0a906808d4acb0b680007e78b4221d86b7","first_computed_at":"2026-05-18T04:10:10.968259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:10.968259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hgvtznwmkzmrpB7LlzGsCsmhss8tEN6ca+lODFqm5mj8+72+gRERkhRTLrJwyAiovmmRQ9LaWGxg2zp0EfL5Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:10.969135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5897","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41c9f61e340508e5313f82e00702f0ccf4c91e40168772897e4258e8b8c28e39","sha256:a8e5387a9138197c866e9431daeaa2a74f21cdcc3d590ca3fff0fc96fe480d0a"],"state_sha256":"c4f0453ce9ee48186492dd9e1ea127d88f2362c792e257529f5e5744ec818f56"}