{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IMIQDHO7EDW5P5NJVHLVUABOYL","short_pith_number":"pith:IMIQDHO7","schema_version":"1.0","canonical_sha256":"4311019ddf20edd7f5a9a9d75a002ec2f98a89dd2743008ca3418b9dedcedc53","source":{"kind":"arxiv","id":"1705.01819","version":1},"attestation_state":"computed","paper":{"title":"On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA","math.SG"],"primary_cat":"math.AG","authors_text":"Alexander Kuznetsov, Anton Mellit, John Alexander Cruz Morales, Maxim Smirnov, Nicolas Perrin","submitted_at":"2017-05-04T12:46:55Z","abstract_excerpt":"The subject of this paper is the big quantum cohomology rings of symplectic isotropic Grassmannians $\\text{IG}(2, 2n)$. We show that these rings are regular. In particular, by \"generic smoothness\", we obtain a conceptual proof of generic semisimplicity of the big quantum cohomology for $\\text{IG}(2, 2n)$. Further, by a general result of Claus Hertling, the regularity of these rings implies that they have a description in terms of isolated hypersurface singularities, which we show in this case to be of type $A_{n-1}$. By the homological mirror symmetry conjecture, these results suggest the exis"},"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":"1705.01819","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-04T12:46:55Z","cross_cats_sorted":["math.RA","math.SG"],"title_canon_sha256":"f7e40eeb3ba2e569750ca056eaf67d2be046798381ae3c37ca743bd610b9d081","abstract_canon_sha256":"259dc516f60209c24cb36c7a401d60aa8281b20f31d4a4dfb9a2dc2cb897d7a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:02.240041Z","signature_b64":"f5l2FFCGomdEP3SS/PnNdO0Ykyo3Jv+5jW86na3FaFgBbX3armZ7L1TZR1/19x3wlOQGeNuKq6LCqUmvFQYJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4311019ddf20edd7f5a9a9d75a002ec2f98a89dd2743008ca3418b9dedcedc53","last_reissued_at":"2026-05-18T00:45:02.239438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:02.239438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA","math.SG"],"primary_cat":"math.AG","authors_text":"Alexander Kuznetsov, Anton Mellit, John Alexander Cruz Morales, Maxim Smirnov, Nicolas Perrin","submitted_at":"2017-05-04T12:46:55Z","abstract_excerpt":"The subject of this paper is the big quantum cohomology rings of symplectic isotropic Grassmannians $\\text{IG}(2, 2n)$. We show that these rings are regular. In particular, by \"generic smoothness\", we obtain a conceptual proof of generic semisimplicity of the big quantum cohomology for $\\text{IG}(2, 2n)$. Further, by a general result of Claus Hertling, the regularity of these rings implies that they have a description in terms of isolated hypersurface singularities, which we show in this case to be of type $A_{n-1}$. By the homological mirror symmetry conjecture, these results suggest the exis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01819","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":"1705.01819","created_at":"2026-05-18T00:45:02.239539+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.01819v1","created_at":"2026-05-18T00:45:02.239539+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01819","created_at":"2026-05-18T00:45:02.239539+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMIQDHO7EDW5","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMIQDHO7EDW5P5NJ","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMIQDHO7","created_at":"2026-05-18T12:31:21.493067+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/IMIQDHO7EDW5P5NJVHLVUABOYL","json":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL.json","graph_json":"https://pith.science/api/pith-number/IMIQDHO7EDW5P5NJVHLVUABOYL/graph.json","events_json":"https://pith.science/api/pith-number/IMIQDHO7EDW5P5NJVHLVUABOYL/events.json","paper":"https://pith.science/paper/IMIQDHO7"},"agent_actions":{"view_html":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL","download_json":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL.json","view_paper":"https://pith.science/paper/IMIQDHO7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.01819&json=true","fetch_graph":"https://pith.science/api/pith-number/IMIQDHO7EDW5P5NJVHLVUABOYL/graph.json","fetch_events":"https://pith.science/api/pith-number/IMIQDHO7EDW5P5NJVHLVUABOYL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL/action/storage_attestation","attest_author":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL/action/author_attestation","sign_citation":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL/action/citation_signature","submit_replication":"https://pith.science/pith/IMIQDHO7EDW5P5NJVHLVUABOYL/action/replication_record"}},"created_at":"2026-05-18T00:45:02.239539+00:00","updated_at":"2026-05-18T00:45:02.239539+00:00"}