{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NKIA4TEYUV33OIGDATQHOBQKHZ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e9244d625eea082407b2fed2c0d597c08334083d00963ca9604fa62916c58fae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-17T20:15:41Z","title_canon_sha256":"0c3562a3c2b7736827c22270512aff114d1931076b2cbd5fe3accd29622fb412"},"schema_version":"1.0","source":{"id":"1304.4958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.4958","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"1304.4958v1","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.4958","created_at":"2026-05-18T03:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"NKIA4TEYUV33","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NKIA4TEYUV33OIGD","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NKIA4TEY","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:87e8c06ff1c505e793cb55e0d9b6ff471bf03b05243d3ad1a3ec8c45165d7c67","target":"graph","created_at":"2026-05-18T03:27:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"C. Pech, K. Rietsch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-17T20:15:41Z","title":"A Landau-Ginzburg model for Lagrangian Grassmannians, Langlands duality and relations in quantum cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.4958","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:573b880d8cba6601b3546567ef4981596cac71ff247c1d2cd211835a5c9f01ca","target":"record","created_at":"2026-05-18T03:27:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e9244d625eea082407b2fed2c0d597c08334083d00963ca9604fa62916c58fae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-04-17T20:15:41Z","title_canon_sha256":"0c3562a3c2b7736827c22270512aff114d1931076b2cbd5fe3accd29622fb412"},"schema_version":"1.0","source":{"id":"1304.4958","kind":"arxiv","version":1}},"canonical_sha256":"6a900e4c98a577b720c304e077060a3e50effcc27223129d1a3a6cb0dc723b4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a900e4c98a577b720c304e077060a3e50effcc27223129d1a3a6cb0dc723b4f","first_computed_at":"2026-05-18T03:27:42.161891Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:42.161891Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5T3FrCBCUG81//zgkCrT3JwcLwyEVfBS7IhyKuM7CHZhu9H8pehbmlq0RS5r+FQUE8p5whHF7UXmbBKDO9xJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:42.162495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.4958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:573b880d8cba6601b3546567ef4981596cac71ff247c1d2cd211835a5c9f01ca","sha256:87e8c06ff1c505e793cb55e0d9b6ff471bf03b05243d3ad1a3ec8c45165d7c67"],"state_sha256":"527134b45c8d272b2e850298f7de3e58dec70d0add2b743c575dab0617cf43d2"}