{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NKIA4TEYUV33OIGDATQHOBQKHZ","short_pith_number":"pith:NKIA4TEY","schema_version":"1.0","canonical_sha256":"6a900e4c98a577b720c304e077060a3e50effcc27223129d1a3a6cb0dc723b4f","source":{"kind":"arxiv","id":"1304.4958","version":1},"attestation_state":"computed","paper":{"title":"A Landau-Ginzburg model for Lagrangian Grassmannians, Langlands duality and relations in quantum cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"C. Pech, K. Rietsch","submitted_at":"2013-04-17T20:15:41Z","abstract_excerpt":"In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P, as a regular function on an affine subvariety of the Langlands dual group. In this paper, we reformulate this LG-model (X^,W_t) in the case of the Lagrangian Grassmannian LG(m) as a rational function on a Langlands dual orthogonal Grassmannian, in the spirit of work by R. Marsh and the second author [MR12] for type A Grassmannians. This LG model has some very interesting features, which are not visible in the type A case, to do with the non-triviality of Langlands duality.\n  We also formulate a conjecture"},"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":"1304.4958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-17T20:15:41Z","cross_cats_sorted":[],"title_canon_sha256":"0c3562a3c2b7736827c22270512aff114d1931076b2cbd5fe3accd29622fb412","abstract_canon_sha256":"e9244d625eea082407b2fed2c0d597c08334083d00963ca9604fa62916c58fae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:42.162495Z","signature_b64":"5T3FrCBCUG81//zgkCrT3JwcLwyEVfBS7IhyKuM7CHZhu9H8pehbmlq0RS5r+FQUE8p5whHF7UXmbBKDO9xJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a900e4c98a577b720c304e077060a3e50effcc27223129d1a3a6cb0dc723b4f","last_reissued_at":"2026-05-18T03:27:42.161891Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:42.161891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Landau-Ginzburg model for Lagrangian Grassmannians, Langlands duality and relations in quantum cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"C. Pech, K. Rietsch","submitted_at":"2013-04-17T20:15:41Z","abstract_excerpt":"In [Rie08], the second author defined a Landau-Ginzburg model for homogeneous spaces G/P, as a regular function on an affine subvariety of the Langlands dual group. In this paper, we reformulate this LG-model (X^,W_t) in the case of the Lagrangian Grassmannian LG(m) as a rational function on a Langlands dual orthogonal Grassmannian, in the spirit of work by R. Marsh and the second author [MR12] for type A Grassmannians. This LG model has some very interesting features, which are not visible in the type A case, to do with the non-triviality of Langlands duality.\n  We also formulate a conjecture"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4958","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":"1304.4958","created_at":"2026-05-18T03:27:42.161986+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.4958v1","created_at":"2026-05-18T03:27:42.161986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4958","created_at":"2026-05-18T03:27:42.161986+00:00"},{"alias_kind":"pith_short_12","alias_value":"NKIA4TEYUV33","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NKIA4TEYUV33OIGD","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NKIA4TEY","created_at":"2026-05-18T12:27:52.871228+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/NKIA4TEYUV33OIGDATQHOBQKHZ","json":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ.json","graph_json":"https://pith.science/api/pith-number/NKIA4TEYUV33OIGDATQHOBQKHZ/graph.json","events_json":"https://pith.science/api/pith-number/NKIA4TEYUV33OIGDATQHOBQKHZ/events.json","paper":"https://pith.science/paper/NKIA4TEY"},"agent_actions":{"view_html":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ","download_json":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ.json","view_paper":"https://pith.science/paper/NKIA4TEY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.4958&json=true","fetch_graph":"https://pith.science/api/pith-number/NKIA4TEYUV33OIGDATQHOBQKHZ/graph.json","fetch_events":"https://pith.science/api/pith-number/NKIA4TEYUV33OIGDATQHOBQKHZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ/action/storage_attestation","attest_author":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ/action/author_attestation","sign_citation":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ/action/citation_signature","submit_replication":"https://pith.science/pith/NKIA4TEYUV33OIGDATQHOBQKHZ/action/replication_record"}},"created_at":"2026-05-18T03:27:42.161986+00:00","updated_at":"2026-05-18T03:27:42.161986+00:00"}