{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RABA5EVJGNRP7QWAQGFWJGNRSL","short_pith_number":"pith:RABA5EVJ","schema_version":"1.0","canonical_sha256":"88020e92a93362ffc2c0818b6499b192c160b04d9a06c948f79d3be5ded5bf66","source":{"kind":"arxiv","id":"1106.6270","version":1},"attestation_state":"computed","paper":{"title":"Landau-Ginzburg/Calabi-Yau Correspondence of all Genera for Elliptic Orbifold $\\mathbb{p}^1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.SG"],"primary_cat":"math.AG","authors_text":"Marc Krawitz, Yefeng Shen","submitted_at":"2011-06-30T15:25:27Z","abstract_excerpt":"In this paper, we establish the convergence for Gromov-Witten invariant of elliptic orbifold $\\mathbb{P}^1$ with type $(3,3,3), (4,4,2)$ and $(6,3,2)$. We also prove the mirror theorems of Gromov-Witten theory for those orbifolds and FJRW theory of elliptic singularities. Using T.Milanov and Y. Ruan's work, we prove the Landau-Ginzburg/Calabi-Yau correspondence of all genera for the above three types of elliptic orbifold $\\mathbb{P}^1$."},"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":"1106.6270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-06-30T15:25:27Z","cross_cats_sorted":["hep-th","math.SG"],"title_canon_sha256":"b17e11de9c577148f53f1a21b0f6f4308f4b059d49e33bd1b1497bf885547b52","abstract_canon_sha256":"13b17ed1bdbfef72d86d725178fd39c1e0a3613a96f3b89ac5be4a3fce52e06d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:03.628506Z","signature_b64":"eBhySMl5u0suV29wpc+NHjVS9dqEvzKJGTpzTSLfD1PrkYPrhltQE1rGLAlG6g5N2+zp2jgUQSceD4DQTwyyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88020e92a93362ffc2c0818b6499b192c160b04d9a06c948f79d3be5ded5bf66","last_reissued_at":"2026-05-18T04:19:03.627869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:03.627869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Landau-Ginzburg/Calabi-Yau Correspondence of all Genera for Elliptic Orbifold $\\mathbb{p}^1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.SG"],"primary_cat":"math.AG","authors_text":"Marc Krawitz, Yefeng Shen","submitted_at":"2011-06-30T15:25:27Z","abstract_excerpt":"In this paper, we establish the convergence for Gromov-Witten invariant of elliptic orbifold $\\mathbb{P}^1$ with type $(3,3,3), (4,4,2)$ and $(6,3,2)$. We also prove the mirror theorems of Gromov-Witten theory for those orbifolds and FJRW theory of elliptic singularities. Using T.Milanov and Y. Ruan's work, we prove the Landau-Ginzburg/Calabi-Yau correspondence of all genera for the above three types of elliptic orbifold $\\mathbb{P}^1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.6270","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":"1106.6270","created_at":"2026-05-18T04:19:03.627952+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.6270v1","created_at":"2026-05-18T04:19:03.627952+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.6270","created_at":"2026-05-18T04:19:03.627952+00:00"},{"alias_kind":"pith_short_12","alias_value":"RABA5EVJGNRP","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RABA5EVJGNRP7QWA","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RABA5EVJ","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.03126","citing_title":"Worldsheet Duals to One-Matrix Models","ref_index":62,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL","json":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL.json","graph_json":"https://pith.science/api/pith-number/RABA5EVJGNRP7QWAQGFWJGNRSL/graph.json","events_json":"https://pith.science/api/pith-number/RABA5EVJGNRP7QWAQGFWJGNRSL/events.json","paper":"https://pith.science/paper/RABA5EVJ"},"agent_actions":{"view_html":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL","download_json":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL.json","view_paper":"https://pith.science/paper/RABA5EVJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.6270&json=true","fetch_graph":"https://pith.science/api/pith-number/RABA5EVJGNRP7QWAQGFWJGNRSL/graph.json","fetch_events":"https://pith.science/api/pith-number/RABA5EVJGNRP7QWAQGFWJGNRSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL/action/storage_attestation","attest_author":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL/action/author_attestation","sign_citation":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL/action/citation_signature","submit_replication":"https://pith.science/pith/RABA5EVJGNRP7QWAQGFWJGNRSL/action/replication_record"}},"created_at":"2026-05-18T04:19:03.627952+00:00","updated_at":"2026-05-18T04:19:03.627952+00:00"}