{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UCI5QHTCO27PDXZRIMLJA5H3AJ","short_pith_number":"pith:UCI5QHTC","schema_version":"1.0","canonical_sha256":"a091d81e6276bef1df3143169074fb02637788a9ae53a1cc93ee281c137dfe93","source":{"kind":"arxiv","id":"1505.07359","version":2},"attestation_state":"computed","paper":{"title":"Homotopy equivalence of nearby Lagrangians and the Serre spectral sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Thomas Kragh","submitted_at":"2015-05-27T14:51:36Z","abstract_excerpt":"We construct using relatively basic techniques a spectral sequence for exact Lagrangians in cotangent bundles similar to the one constructed by Fukaya, Seidel, and Smith. That spectral sequence was used to prove that exact relative spin Lagrangians in simply connected cotangent bundles with vanishing Maslov class are homology equivalent to the base (a similar result was also obtained by Nadler). The ideas in that paper were extended by Abouzaid who proved that vanishing Maslov class alone implies homotopy equivalence.\n  In this paper we present a short proof of the fact that any exact Lagrangi"},"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":"1505.07359","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-05-27T14:51:36Z","cross_cats_sorted":[],"title_canon_sha256":"307ce7c86237e2b7547975758b8f1af73621ccc17a00da73b11e7546a7a80f0d","abstract_canon_sha256":"d9feed6ac1862a102d2b08c112bc79f257d44e2c534bc8f7e78d2d49c0bd509b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:51.623392Z","signature_b64":"byCdrJxCK3+ykMXYa2Pu56MPPSDlQmsz/NKinOZlYu/0xIjYoMS3obEsCKFKrpHIqOJABFVF/Uyv95iPidYBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a091d81e6276bef1df3143169074fb02637788a9ae53a1cc93ee281c137dfe93","last_reissued_at":"2026-05-18T01:11:51.622932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:51.622932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homotopy equivalence of nearby Lagrangians and the Serre spectral sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Thomas Kragh","submitted_at":"2015-05-27T14:51:36Z","abstract_excerpt":"We construct using relatively basic techniques a spectral sequence for exact Lagrangians in cotangent bundles similar to the one constructed by Fukaya, Seidel, and Smith. That spectral sequence was used to prove that exact relative spin Lagrangians in simply connected cotangent bundles with vanishing Maslov class are homology equivalent to the base (a similar result was also obtained by Nadler). The ideas in that paper were extended by Abouzaid who proved that vanishing Maslov class alone implies homotopy equivalence.\n  In this paper we present a short proof of the fact that any exact Lagrangi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07359","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":"1505.07359","created_at":"2026-05-18T01:11:51.623002+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.07359v2","created_at":"2026-05-18T01:11:51.623002+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07359","created_at":"2026-05-18T01:11:51.623002+00:00"},{"alias_kind":"pith_short_12","alias_value":"UCI5QHTCO27P","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UCI5QHTCO27PDXZR","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UCI5QHTC","created_at":"2026-05-18T12:29:44.643036+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/UCI5QHTCO27PDXZRIMLJA5H3AJ","json":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ.json","graph_json":"https://pith.science/api/pith-number/UCI5QHTCO27PDXZRIMLJA5H3AJ/graph.json","events_json":"https://pith.science/api/pith-number/UCI5QHTCO27PDXZRIMLJA5H3AJ/events.json","paper":"https://pith.science/paper/UCI5QHTC"},"agent_actions":{"view_html":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ","download_json":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ.json","view_paper":"https://pith.science/paper/UCI5QHTC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.07359&json=true","fetch_graph":"https://pith.science/api/pith-number/UCI5QHTCO27PDXZRIMLJA5H3AJ/graph.json","fetch_events":"https://pith.science/api/pith-number/UCI5QHTCO27PDXZRIMLJA5H3AJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ/action/storage_attestation","attest_author":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ/action/author_attestation","sign_citation":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ/action/citation_signature","submit_replication":"https://pith.science/pith/UCI5QHTCO27PDXZRIMLJA5H3AJ/action/replication_record"}},"created_at":"2026-05-18T01:11:51.623002+00:00","updated_at":"2026-05-18T01:11:51.623002+00:00"}