{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HN3C44RJ5I5IO3TO6QIAIWDAXD","short_pith_number":"pith:HN3C44RJ","schema_version":"1.0","canonical_sha256":"3b762e7229ea3a876e6ef410045860b8fa5eceece761a050d3f282449b166580","source":{"kind":"arxiv","id":"1903.08355","version":1},"attestation_state":"computed","paper":{"title":"Comparison of mirror functors of elliptic curves via LG/CY correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SG","authors_text":"Sangwook Lee","submitted_at":"2019-03-20T06:29:48Z","abstract_excerpt":"Polishchuk-Zaslow explained the homological mirror symmetry between Fukaya category of symplectic torus and the derived category of coherent sheaves of elliptic curves via Lagrangian torus fibration. Recently, Cho-Hong-Lau found another proof of homological mirror symmetry using localized mirror functor, whose target category is given by graded matrix factorizations. We find an explicit relation between these two approaches."},"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":"1903.08355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2019-03-20T06:29:48Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c5395d5776a6dc85c25b5335a3b55df9ed2a4a2be26ebc8161da596c3ae56228","abstract_canon_sha256":"a01fcb6029413c7ec4fc27904fb7bf6d32244ef670dc37930dd23a52a9fb891a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:48.339303Z","signature_b64":"sgfXjYLFUlNb5oUVR/03MHcmTc1Zl13oCm0qdgUBdN0wKOpfIqaSghEaSHzQvELFBKf+WSXTit6sdQgE1SFuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b762e7229ea3a876e6ef410045860b8fa5eceece761a050d3f282449b166580","last_reissued_at":"2026-05-17T23:50:48.338721Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:48.338721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comparison of mirror functors of elliptic curves via LG/CY correspondence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SG","authors_text":"Sangwook Lee","submitted_at":"2019-03-20T06:29:48Z","abstract_excerpt":"Polishchuk-Zaslow explained the homological mirror symmetry between Fukaya category of symplectic torus and the derived category of coherent sheaves of elliptic curves via Lagrangian torus fibration. Recently, Cho-Hong-Lau found another proof of homological mirror symmetry using localized mirror functor, whose target category is given by graded matrix factorizations. We find an explicit relation between these two approaches."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.08355","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":"1903.08355","created_at":"2026-05-17T23:50:48.338835+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.08355v1","created_at":"2026-05-17T23:50:48.338835+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.08355","created_at":"2026-05-17T23:50:48.338835+00:00"},{"alias_kind":"pith_short_12","alias_value":"HN3C44RJ5I5I","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"HN3C44RJ5I5IO3TO","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"HN3C44RJ","created_at":"2026-05-18T12:33:18.533446+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/HN3C44RJ5I5IO3TO6QIAIWDAXD","json":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD.json","graph_json":"https://pith.science/api/pith-number/HN3C44RJ5I5IO3TO6QIAIWDAXD/graph.json","events_json":"https://pith.science/api/pith-number/HN3C44RJ5I5IO3TO6QIAIWDAXD/events.json","paper":"https://pith.science/paper/HN3C44RJ"},"agent_actions":{"view_html":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD","download_json":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD.json","view_paper":"https://pith.science/paper/HN3C44RJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.08355&json=true","fetch_graph":"https://pith.science/api/pith-number/HN3C44RJ5I5IO3TO6QIAIWDAXD/graph.json","fetch_events":"https://pith.science/api/pith-number/HN3C44RJ5I5IO3TO6QIAIWDAXD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD/action/storage_attestation","attest_author":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD/action/author_attestation","sign_citation":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD/action/citation_signature","submit_replication":"https://pith.science/pith/HN3C44RJ5I5IO3TO6QIAIWDAXD/action/replication_record"}},"created_at":"2026-05-17T23:50:48.338835+00:00","updated_at":"2026-05-17T23:50:48.338835+00:00"}