{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HCSUSAGOIMB5A2IO4IQGKPZVVC","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":"64fef21e9903e27be688186070a90c8aaa44ca430d21b932d81ab2ae6bd65cc5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2026-06-30T13:52:06Z","title_canon_sha256":"63b2ad0cdfeef873d2d6255a7ca67bb8f309a9c5b5d670f1f4a81bc8dff644d1"},"schema_version":"1.0","source":{"id":"2606.31674","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31674","created_at":"2026-07-01T01:18:11Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31674v1","created_at":"2026-07-01T01:18:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31674","created_at":"2026-07-01T01:18:11Z"},{"alias_kind":"pith_short_12","alias_value":"HCSUSAGOIMB5","created_at":"2026-07-01T01:18:11Z"},{"alias_kind":"pith_short_16","alias_value":"HCSUSAGOIMB5A2IO","created_at":"2026-07-01T01:18:11Z"},{"alias_kind":"pith_short_8","alias_value":"HCSUSAGO","created_at":"2026-07-01T01:18:11Z"}],"graph_snapshots":[{"event_id":"sha256:573c3309e8b0d672750895c54378d835025568e3324b74ffd63474a63ca9ded8","target":"graph","created_at":"2026-07-01T01:18:11Z","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/2606.31674/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $Y$ be a prequantization bundle over an integral symplectic manifold $(\\Sigma,\\omega)$. Let $L$ be a closed monotone Lagrangian submanifold that admits a Legendrian lift $\\mathcal{L}$ in $Y$. Under the assumption that the minimal Maslov number $N_L$ of $L$ is greater than 2, we define the Rabinowitz Floer homology of $\\mathcal{L}$. We then establish an isomorphism between the $\\mathbb{Z}_d$-equivariant Rabinowitz Floer homology of $\\mathcal{L}$ and the quantum homology of $L$, where $d$ is the degree of the covering map $\\mathcal{L}\\to L$. Under a more restrictive condition on $N_L$, we sh","authors_text":"Hanwool Bae, Jungsoo Kang, SungHo Kim","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2026-06-30T13:52:06Z","title":"Rabinowitz Floer homology for Legendrian submanifolds in prequantization bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31674","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":"sha256:01e6059e48b1ed587bf581d106a432f969d3acf9f9b24c606f1ced140e751928","target":"record","created_at":"2026-07-01T01:18:11Z","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":"64fef21e9903e27be688186070a90c8aaa44ca430d21b932d81ab2ae6bd65cc5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2026-06-30T13:52:06Z","title_canon_sha256":"63b2ad0cdfeef873d2d6255a7ca67bb8f309a9c5b5d670f1f4a81bc8dff644d1"},"schema_version":"1.0","source":{"id":"2606.31674","kind":"arxiv","version":1}},"canonical_sha256":"38a54900ce4303d0690ee220653f35a8ab08ec79be7da9c73f9624476b03e495","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38a54900ce4303d0690ee220653f35a8ab08ec79be7da9c73f9624476b03e495","first_computed_at":"2026-07-01T01:18:11.319924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:18:11.319924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yya1UJzrLb4BTLnWkhJiv9qakiIplTvx2b7+DiGImNKNxjeWxGmW8zTM2NnRzkq4sCmxMxsQWFYdhayb/dUsCA==","signature_status":"signed_v1","signed_at":"2026-07-01T01:18:11.320448Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31674","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01e6059e48b1ed587bf581d106a432f969d3acf9f9b24c606f1ced140e751928","sha256:573c3309e8b0d672750895c54378d835025568e3324b74ffd63474a63ca9ded8"],"state_sha256":"d1429048936aa0ab2be768aee508ae1bfabf0f8f5411b3d3634403c8a067f702"}