{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:IKA7HQBEVR6HQX4BDJ2RKTC2QW","short_pith_number":"pith:IKA7HQBE","schema_version":"1.0","canonical_sha256":"4281f3c024ac7c785f811a75154c5a858353b2a67d5da2bbd265a7aef45f41b5","source":{"kind":"arxiv","id":"2008.04039","version":2},"attestation_state":"computed","paper":{"title":"On Calabi--Yau fractional complete intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bong H. Lian, Shing-Tung Yau, Tsung-Ju Lee","submitted_at":"2020-08-10T11:52:16Z","abstract_excerpt":"In this article, we study mirror symmetry for pairs of singular Calabi--Yau manifolds which are double covers of toric manifolds. Their period integrals can be seen as certain `fractional' analogues of those of ordinary complete intersections. This new structure can then be used to solve their Riemann--Hilbert problems. The latter can then be used to answer definitively questions about mirror symmetry for this class of Calabi--Yau manifolds."},"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":"2008.04039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-08-10T11:52:16Z","cross_cats_sorted":[],"title_canon_sha256":"93e99ecf964a8aa5d4fff033092f56919bc0a52b37417aa655c738cd290ed1bf","abstract_canon_sha256":"123197fbe55af1cfd0bebd4b6bf4e87e9e76900d19f5d3d804afa6f5c69be5e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:57:24.190430Z","signature_b64":"Qw4aE4mkdcPEUtCZKTwdfKhIPyK/N9JIW/E37a7tLu9h9Z+Xegy1QIPFZXMRBbZ5Xqad7166GDTMMq228n8yAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4281f3c024ac7c785f811a75154c5a858353b2a67d5da2bbd265a7aef45f41b5","last_reissued_at":"2026-07-05T03:57:24.189964Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:57:24.189964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Calabi--Yau fractional complete intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bong H. Lian, Shing-Tung Yau, Tsung-Ju Lee","submitted_at":"2020-08-10T11:52:16Z","abstract_excerpt":"In this article, we study mirror symmetry for pairs of singular Calabi--Yau manifolds which are double covers of toric manifolds. Their period integrals can be seen as certain `fractional' analogues of those of ordinary complete intersections. This new structure can then be used to solve their Riemann--Hilbert problems. The latter can then be used to answer definitively questions about mirror symmetry for this class of Calabi--Yau manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.04039","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.04039/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":"2008.04039","created_at":"2026-07-05T03:57:24.190018+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.04039v2","created_at":"2026-07-05T03:57:24.190018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.04039","created_at":"2026-07-05T03:57:24.190018+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKA7HQBEVR6H","created_at":"2026-07-05T03:57:24.190018+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKA7HQBEVR6HQX4B","created_at":"2026-07-05T03:57:24.190018+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKA7HQBE","created_at":"2026-07-05T03:57:24.190018+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.00633","citing_title":"Non-commutative resolutions and pre-quotients of Calabi-Yau double covers","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW","json":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW.json","graph_json":"https://pith.science/api/pith-number/IKA7HQBEVR6HQX4BDJ2RKTC2QW/graph.json","events_json":"https://pith.science/api/pith-number/IKA7HQBEVR6HQX4BDJ2RKTC2QW/events.json","paper":"https://pith.science/paper/IKA7HQBE"},"agent_actions":{"view_html":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW","download_json":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW.json","view_paper":"https://pith.science/paper/IKA7HQBE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.04039&json=true","fetch_graph":"https://pith.science/api/pith-number/IKA7HQBEVR6HQX4BDJ2RKTC2QW/graph.json","fetch_events":"https://pith.science/api/pith-number/IKA7HQBEVR6HQX4BDJ2RKTC2QW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW/action/storage_attestation","attest_author":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW/action/author_attestation","sign_citation":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW/action/citation_signature","submit_replication":"https://pith.science/pith/IKA7HQBEVR6HQX4BDJ2RKTC2QW/action/replication_record"}},"created_at":"2026-07-05T03:57:24.190018+00:00","updated_at":"2026-07-05T03:57:24.190018+00:00"}