{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NUTIWG3KXQESE32RXOIO3NJ2JN","short_pith_number":"pith:NUTIWG3K","schema_version":"1.0","canonical_sha256":"6d268b1b6abc09226f51bb90edb53a4b46e1a3ffa6822d4121553e2fb5e4b3ba","source":{"kind":"arxiv","id":"1401.0777","version":1},"attestation_state":"computed","paper":{"title":"Symplectic topology of Lagrangian submanifolds of CP^n with intermediate minimal Maslov numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Hiroshi Iriyeh","submitted_at":"2014-01-04T05:04:40Z","abstract_excerpt":"We examine symplectic topological features of certain family of monotone Lagrangian submanifolds in CP^n. Firstly, we give a cohomological restriction for Lagrangian submanifolds in CP^n whose first integral homologies are 3-torsion. In particular, in the case where n=5,8, we prove the cohomologies with coefficients in Z_2 of such Lagrangian submanifolds are isomorphic to that of SU(3)/(SO(3) Z_3) and SU(3)/Z_3, respectively. Secondly, we calculate the Floer cohomology of a monotone Lagrangian submanifold SU(p)/Z_p in CP^{p^2-1} with coefficients in Z_2 by using Biran-Cornea's theory."},"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":"1401.0777","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-01-04T05:04:40Z","cross_cats_sorted":[],"title_canon_sha256":"2e06a3ca336489750624aba96223ea10466c088744064490fa653bbb26393c70","abstract_canon_sha256":"8a007699fbc6672f6b7220c7532454f5726be4c71a0add8451e84c612c5d2b94"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:12.031606Z","signature_b64":"Wy2rFI36UklneqKXVfAoyvYz1hi1odA8u8cs4ZczxZoJxgRsKzZgWmqJbyjsNuTdXjf/2sfwNO0CgXqQImmlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d268b1b6abc09226f51bb90edb53a4b46e1a3ffa6822d4121553e2fb5e4b3ba","last_reissued_at":"2026-05-18T03:03:12.030731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:12.030731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symplectic topology of Lagrangian submanifolds of CP^n with intermediate minimal Maslov numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Hiroshi Iriyeh","submitted_at":"2014-01-04T05:04:40Z","abstract_excerpt":"We examine symplectic topological features of certain family of monotone Lagrangian submanifolds in CP^n. Firstly, we give a cohomological restriction for Lagrangian submanifolds in CP^n whose first integral homologies are 3-torsion. In particular, in the case where n=5,8, we prove the cohomologies with coefficients in Z_2 of such Lagrangian submanifolds are isomorphic to that of SU(3)/(SO(3) Z_3) and SU(3)/Z_3, respectively. Secondly, we calculate the Floer cohomology of a monotone Lagrangian submanifold SU(p)/Z_p in CP^{p^2-1} with coefficients in Z_2 by using Biran-Cornea's theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0777","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":""},"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":"1401.0777","created_at":"2026-05-18T03:03:12.030912+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0777v1","created_at":"2026-05-18T03:03:12.030912+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0777","created_at":"2026-05-18T03:03:12.030912+00:00"},{"alias_kind":"pith_short_12","alias_value":"NUTIWG3KXQES","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NUTIWG3KXQESE32R","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NUTIWG3K","created_at":"2026-05-18T12:28:41.024544+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/NUTIWG3KXQESE32RXOIO3NJ2JN","json":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN.json","graph_json":"https://pith.science/api/pith-number/NUTIWG3KXQESE32RXOIO3NJ2JN/graph.json","events_json":"https://pith.science/api/pith-number/NUTIWG3KXQESE32RXOIO3NJ2JN/events.json","paper":"https://pith.science/paper/NUTIWG3K"},"agent_actions":{"view_html":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN","download_json":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN.json","view_paper":"https://pith.science/paper/NUTIWG3K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0777&json=true","fetch_graph":"https://pith.science/api/pith-number/NUTIWG3KXQESE32RXOIO3NJ2JN/graph.json","fetch_events":"https://pith.science/api/pith-number/NUTIWG3KXQESE32RXOIO3NJ2JN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN/action/storage_attestation","attest_author":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN/action/author_attestation","sign_citation":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN/action/citation_signature","submit_replication":"https://pith.science/pith/NUTIWG3KXQESE32RXOIO3NJ2JN/action/replication_record"}},"created_at":"2026-05-18T03:03:12.030912+00:00","updated_at":"2026-05-18T03:03:12.030912+00:00"}