{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TGOEXYZ4M7USPOQIRCRJY6KXUM","short_pith_number":"pith:TGOEXYZ4","schema_version":"1.0","canonical_sha256":"999c4be33c67e927ba0888a29c7957a30d37fa397d88c03f1a5a064d5211f8e8","source":{"kind":"arxiv","id":"1109.1686","version":2},"attestation_state":"computed","paper":{"title":"Hori-Vafa mirror periods, Picard-Fuchs equations, and Berglund-H\\\"{u}bsch-Krawitz duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Charles F. Doran, Richard S. Garavuso","submitted_at":"2011-09-08T10:48:51Z","abstract_excerpt":"This paper discusses the overlap of the Hori-Vafa formulation of mirror symmetry with some other constructions. We focus on compact Calabi-Yau hypersurfaces \\mathcal{M}_G = {G = 0} in weighted complex projective spaces. The Hori-Vafa formalism relates a family {\\mathcal{M}_G \\in WCP^{m-1}_{Q_1,...,Q_m}[s] | \\sum_{i=1}^m Q_i = s} of such hypersurfaces to a single Landau-Ginzburg mirror theory. A technique suggested by Hori and Vafa allows the Picard-Fuchs equations satisfied by the corresponding mirror periods to be determined. Some examples in which the variety \\mathcal{M}_G is crepantly resol"},"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":"1109.1686","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-08T10:48:51Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"00e2c1b7c1536a2147cfd43ff8a902aa097454a3b0027f5fdcd49e95f3954a71","abstract_canon_sha256":"45daecad220e05aa6431c15d2e33224aca56ec616ce2e382f4d6a507688e1e2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:37.976744Z","signature_b64":"Cfu/DS1ckP2g9oCKTosjHgDoKwF0oUTWPiaIwlu92JOYSPYeVMYedyhkvKIHHolxkWG5y2+MrkwjEbAUV266Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"999c4be33c67e927ba0888a29c7957a30d37fa397d88c03f1a5a064d5211f8e8","last_reissued_at":"2026-05-18T02:00:37.976065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:37.976065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hori-Vafa mirror periods, Picard-Fuchs equations, and Berglund-H\\\"{u}bsch-Krawitz duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Charles F. Doran, Richard S. Garavuso","submitted_at":"2011-09-08T10:48:51Z","abstract_excerpt":"This paper discusses the overlap of the Hori-Vafa formulation of mirror symmetry with some other constructions. We focus on compact Calabi-Yau hypersurfaces \\mathcal{M}_G = {G = 0} in weighted complex projective spaces. The Hori-Vafa formalism relates a family {\\mathcal{M}_G \\in WCP^{m-1}_{Q_1,...,Q_m}[s] | \\sum_{i=1}^m Q_i = s} of such hypersurfaces to a single Landau-Ginzburg mirror theory. A technique suggested by Hori and Vafa allows the Picard-Fuchs equations satisfied by the corresponding mirror periods to be determined. Some examples in which the variety \\mathcal{M}_G is crepantly resol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1686","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":"1109.1686","created_at":"2026-05-18T02:00:37.976166+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.1686v2","created_at":"2026-05-18T02:00:37.976166+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1686","created_at":"2026-05-18T02:00:37.976166+00:00"},{"alias_kind":"pith_short_12","alias_value":"TGOEXYZ4M7US","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TGOEXYZ4M7USPOQI","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TGOEXYZ4","created_at":"2026-05-18T12:26:42.757692+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/TGOEXYZ4M7USPOQIRCRJY6KXUM","json":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM.json","graph_json":"https://pith.science/api/pith-number/TGOEXYZ4M7USPOQIRCRJY6KXUM/graph.json","events_json":"https://pith.science/api/pith-number/TGOEXYZ4M7USPOQIRCRJY6KXUM/events.json","paper":"https://pith.science/paper/TGOEXYZ4"},"agent_actions":{"view_html":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM","download_json":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM.json","view_paper":"https://pith.science/paper/TGOEXYZ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.1686&json=true","fetch_graph":"https://pith.science/api/pith-number/TGOEXYZ4M7USPOQIRCRJY6KXUM/graph.json","fetch_events":"https://pith.science/api/pith-number/TGOEXYZ4M7USPOQIRCRJY6KXUM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM/action/storage_attestation","attest_author":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM/action/author_attestation","sign_citation":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM/action/citation_signature","submit_replication":"https://pith.science/pith/TGOEXYZ4M7USPOQIRCRJY6KXUM/action/replication_record"}},"created_at":"2026-05-18T02:00:37.976166+00:00","updated_at":"2026-05-18T02:00:37.976166+00:00"}