{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5LM6LVCSLN5D4IIBG5UQ7X62EZ","short_pith_number":"pith:5LM6LVCS","schema_version":"1.0","canonical_sha256":"ead9e5d4525b7a3e210137690fdfda265b0cc3ef3d51ac29defd539123c290be","source":{"kind":"arxiv","id":"1208.3590","version":2},"attestation_state":"computed","paper":{"title":"Deformations of coisotropic submanifolds in locally conformal symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.QA"],"primary_cat":"math.SG","authors_text":"H\\^ong V\\^an L\\^e, Yong-Geun Oh","submitted_at":"2012-08-17T13:07:44Z","abstract_excerpt":"In this paper, we study deformations of coisotropic submanifolds in a locally conformal symplectic manifold. Firstly, we derive the equation that governs $C^\\infty$ deformations of coisotropic submanifolds and define the corresponding $C^\\infty$-moduli space of coisotropic submanifolds modulo the Hamiltonian isotopies. Secondly, we prove that the formal deformation problem is governed by an $L_\\infty$-structure which is a $\\frak b$-deformation of strong homotopy Lie algebroids introduced in Oh and Park (2005) in the symplectic context. Then we study deformations of locally conformal symplectic"},"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":"1208.3590","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-08-17T13:07:44Z","cross_cats_sorted":["math.DG","math.QA"],"title_canon_sha256":"7762ed64f83615319b41d36a83cc06de7ab097d3f228629f8bc446de3bd60786","abstract_canon_sha256":"4d5689de0f3da41447308c1e44fbd7fb1f4f77e1796c40ad6a3d3ee321c1a7d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:19.190411Z","signature_b64":"MPnhOF6EClgTgjXNSyAOlA1SOOeI1WHFlKWr3LJU3g4QrlDyNCHtx/vQxyVUTdPUaWdKDVCTr25XpUgyJS9cDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ead9e5d4525b7a3e210137690fdfda265b0cc3ef3d51ac29defd539123c290be","last_reissued_at":"2026-05-18T01:12:19.190040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:19.190040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations of coisotropic submanifolds in locally conformal symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.QA"],"primary_cat":"math.SG","authors_text":"H\\^ong V\\^an L\\^e, Yong-Geun Oh","submitted_at":"2012-08-17T13:07:44Z","abstract_excerpt":"In this paper, we study deformations of coisotropic submanifolds in a locally conformal symplectic manifold. Firstly, we derive the equation that governs $C^\\infty$ deformations of coisotropic submanifolds and define the corresponding $C^\\infty$-moduli space of coisotropic submanifolds modulo the Hamiltonian isotopies. Secondly, we prove that the formal deformation problem is governed by an $L_\\infty$-structure which is a $\\frak b$-deformation of strong homotopy Lie algebroids introduced in Oh and Park (2005) in the symplectic context. Then we study deformations of locally conformal symplectic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3590","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1208.3590","created_at":"2026-05-18T01:12:19.190097+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.3590v2","created_at":"2026-05-18T01:12:19.190097+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3590","created_at":"2026-05-18T01:12:19.190097+00:00"},{"alias_kind":"pith_short_12","alias_value":"5LM6LVCSLN5D","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"5LM6LVCSLN5D4IIB","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"5LM6LVCS","created_at":"2026-05-18T12:26:56.085431+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/5LM6LVCSLN5D4IIBG5UQ7X62EZ","json":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ.json","graph_json":"https://pith.science/api/pith-number/5LM6LVCSLN5D4IIBG5UQ7X62EZ/graph.json","events_json":"https://pith.science/api/pith-number/5LM6LVCSLN5D4IIBG5UQ7X62EZ/events.json","paper":"https://pith.science/paper/5LM6LVCS"},"agent_actions":{"view_html":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ","download_json":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ.json","view_paper":"https://pith.science/paper/5LM6LVCS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.3590&json=true","fetch_graph":"https://pith.science/api/pith-number/5LM6LVCSLN5D4IIBG5UQ7X62EZ/graph.json","fetch_events":"https://pith.science/api/pith-number/5LM6LVCSLN5D4IIBG5UQ7X62EZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ/action/storage_attestation","attest_author":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ/action/author_attestation","sign_citation":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ/action/citation_signature","submit_replication":"https://pith.science/pith/5LM6LVCSLN5D4IIBG5UQ7X62EZ/action/replication_record"}},"created_at":"2026-05-18T01:12:19.190097+00:00","updated_at":"2026-05-18T01:12:19.190097+00:00"}