{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CWGR5SFYQLBMPZRWJ5P2BBXVKM","short_pith_number":"pith:CWGR5SFY","schema_version":"1.0","canonical_sha256":"158d1ec8b882c2c7e6364f5fa086f55320ee96de8d6eeb19a37bd883de8231ec","source":{"kind":"arxiv","id":"1901.09440","version":1},"attestation_state":"computed","paper":{"title":"Sheaf Quantization of Lagrangians and Floer cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Claude Viterbo","submitted_at":"2019-01-27T21:20:38Z","abstract_excerpt":"Given an exact Lagrangian submanifold $L$ in $T^*N$, we want to construct a complex of sheaves in the derived category of sheaves on $N\\times {\\mathbb R} $, such that its singular support, $SS({\\mathcal F}^\\bullet_L)$, is equal to $\\widehat L$, the cone constructed over $L$. Its existence was stated in \\cite{Viterbo-ISTST} in 2011, with a sketch of proof, which however contained a gap (fixed here by the rectification). A complete proof was shortly after provided by Guillermou (\\cite{Guillermou}) by a completely different method, in particular Guillermou's method does not use Floer theory. The "},"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":"1901.09440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-01-27T21:20:38Z","cross_cats_sorted":[],"title_canon_sha256":"06f1f859151b386ef7ea3a706d4eabd217f4f76d677282d9d353ad141beb5ba9","abstract_canon_sha256":"671da5d00b2a22f309b70de1d0dfe9b1f05dbdf897bf162d9b48f7fb6fdaa5c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:24.732760Z","signature_b64":"2N6dtABdV0yba9RxXVBB9tuaFED/UhYUp/vcOJ1hvoerTU6tMwGizYjuHkLtcrW+J6g+vjj8OgcaIP9GZC58BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"158d1ec8b882c2c7e6364f5fa086f55320ee96de8d6eeb19a37bd883de8231ec","last_reissued_at":"2026-05-17T23:55:24.732091Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:24.732091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sheaf Quantization of Lagrangians and Floer cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Claude Viterbo","submitted_at":"2019-01-27T21:20:38Z","abstract_excerpt":"Given an exact Lagrangian submanifold $L$ in $T^*N$, we want to construct a complex of sheaves in the derived category of sheaves on $N\\times {\\mathbb R} $, such that its singular support, $SS({\\mathcal F}^\\bullet_L)$, is equal to $\\widehat L$, the cone constructed over $L$. Its existence was stated in \\cite{Viterbo-ISTST} in 2011, with a sketch of proof, which however contained a gap (fixed here by the rectification). A complete proof was shortly after provided by Guillermou (\\cite{Guillermou}) by a completely different method, in particular Guillermou's method does not use Floer theory. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09440","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":"1901.09440","created_at":"2026-05-17T23:55:24.732181+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.09440v1","created_at":"2026-05-17T23:55:24.732181+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.09440","created_at":"2026-05-17T23:55:24.732181+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWGR5SFYQLBM","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWGR5SFYQLBMPZRW","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWGR5SFY","created_at":"2026-05-18T12:33:15.570797+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/CWGR5SFYQLBMPZRWJ5P2BBXVKM","json":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM.json","graph_json":"https://pith.science/api/pith-number/CWGR5SFYQLBMPZRWJ5P2BBXVKM/graph.json","events_json":"https://pith.science/api/pith-number/CWGR5SFYQLBMPZRWJ5P2BBXVKM/events.json","paper":"https://pith.science/paper/CWGR5SFY"},"agent_actions":{"view_html":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM","download_json":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM.json","view_paper":"https://pith.science/paper/CWGR5SFY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.09440&json=true","fetch_graph":"https://pith.science/api/pith-number/CWGR5SFYQLBMPZRWJ5P2BBXVKM/graph.json","fetch_events":"https://pith.science/api/pith-number/CWGR5SFYQLBMPZRWJ5P2BBXVKM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM/action/storage_attestation","attest_author":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM/action/author_attestation","sign_citation":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM/action/citation_signature","submit_replication":"https://pith.science/pith/CWGR5SFYQLBMPZRWJ5P2BBXVKM/action/replication_record"}},"created_at":"2026-05-17T23:55:24.732181+00:00","updated_at":"2026-05-17T23:55:24.732181+00:00"}