{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:PVGLVGA3LIIPE5DB762DFWBR7Y","short_pith_number":"pith:PVGLVGA3","schema_version":"1.0","canonical_sha256":"7d4cba981b5a10f27461ffb432d831fe00aa6fd5ed1b2f592ea54a9f9801054c","source":{"kind":"arxiv","id":"2008.00924","version":1},"attestation_state":"computed","paper":{"title":"$C^0$-limits of Legendrian Submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Lukas Nakamura","submitted_at":"2020-08-03T15:01:05Z","abstract_excerpt":"Laudenbach and Sikorav proved that closed, half-dimensional non-Lagrangian submanifolds of symplectic manifolds are immediately displaceable as long as there is no topological obstruction. From this they deduced that the $C^0$-limit of a sequence of Lagrangian submanifolds of certain manifolds is again Lagrangian, provided that the limit is smooth.\n  In this note we extend Laudenbach and Sikorav's ideas to contact manifolds. We prove correspondingly that certain non-Legendrian submanifolds of contact manifolds can be displaced immediately without creating short Reeb chords as long as there is "},"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":"2008.00924","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2020-08-03T15:01:05Z","cross_cats_sorted":[],"title_canon_sha256":"b72775d59adc1dc47de49164040c69567c691849b31189f0f2c73cc7698cd7eb","abstract_canon_sha256":"27418115bd5b2e4cadc007b11a0d333eeddba0fa5a6d1af48707c4fe59590c6a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:24:12.385934Z","signature_b64":"gIf/uGIj1qYY2iog0+SMXRfPd4QziYtnL3MYanfw10FvCV2uYw8kdvlgEsM/3moI9mosKIHoHcHyEfMwY6hLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d4cba981b5a10f27461ffb432d831fe00aa6fd5ed1b2f592ea54a9f9801054c","last_reissued_at":"2026-07-05T01:24:12.385500Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:24:12.385500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$C^0$-limits of Legendrian Submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Lukas Nakamura","submitted_at":"2020-08-03T15:01:05Z","abstract_excerpt":"Laudenbach and Sikorav proved that closed, half-dimensional non-Lagrangian submanifolds of symplectic manifolds are immediately displaceable as long as there is no topological obstruction. From this they deduced that the $C^0$-limit of a sequence of Lagrangian submanifolds of certain manifolds is again Lagrangian, provided that the limit is smooth.\n  In this note we extend Laudenbach and Sikorav's ideas to contact manifolds. We prove correspondingly that certain non-Legendrian submanifolds of contact manifolds can be displaced immediately without creating short Reeb chords as long as there is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.00924","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.00924/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2008.00924","created_at":"2026-07-05T01:24:12.385570+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.00924v1","created_at":"2026-07-05T01:24:12.385570+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.00924","created_at":"2026-07-05T01:24:12.385570+00:00"},{"alias_kind":"pith_short_12","alias_value":"PVGLVGA3LIIP","created_at":"2026-07-05T01:24:12.385570+00:00"},{"alias_kind":"pith_short_16","alias_value":"PVGLVGA3LIIPE5DB","created_at":"2026-07-05T01:24:12.385570+00:00"},{"alias_kind":"pith_short_8","alias_value":"PVGLVGA3","created_at":"2026-07-05T01:24:12.385570+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.11422","citing_title":"On certain $C^0$-aspects of contactomorphism groups","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y","json":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y.json","graph_json":"https://pith.science/api/pith-number/PVGLVGA3LIIPE5DB762DFWBR7Y/graph.json","events_json":"https://pith.science/api/pith-number/PVGLVGA3LIIPE5DB762DFWBR7Y/events.json","paper":"https://pith.science/paper/PVGLVGA3"},"agent_actions":{"view_html":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y","download_json":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y.json","view_paper":"https://pith.science/paper/PVGLVGA3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.00924&json=true","fetch_graph":"https://pith.science/api/pith-number/PVGLVGA3LIIPE5DB762DFWBR7Y/graph.json","fetch_events":"https://pith.science/api/pith-number/PVGLVGA3LIIPE5DB762DFWBR7Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y/action/storage_attestation","attest_author":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y/action/author_attestation","sign_citation":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y/action/citation_signature","submit_replication":"https://pith.science/pith/PVGLVGA3LIIPE5DB762DFWBR7Y/action/replication_record"}},"created_at":"2026-07-05T01:24:12.385570+00:00","updated_at":"2026-07-05T01:24:12.385570+00:00"}