{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KCN25G4NFQ2Q754TQ776JN6IQF","short_pith_number":"pith:KCN25G4N","schema_version":"1.0","canonical_sha256":"509bae9b8d2c350ff79387ffe4b7c8815c531a86b61d44df79ab480a39cc678d","source":{"kind":"arxiv","id":"1706.00385","version":1},"attestation_state":"computed","paper":{"title":"Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Leonardo C. Mihalcea, Ryan M. Shifler","submitted_at":"2017-06-01T16:58:04Z","abstract_excerpt":"The odd symplectic Grassmannian $\\mathrm{IG}:=\\mathrm{IG}(k, 2n+1)$ parametrizes $k$ dimensional subspaces of $\\mathbb{C}^{2n+1}$ which are isotropic with respect to a general (necessarily degenerate) symplectic form. The odd symplectic group acts on $\\mathrm{IG}$ with two orbits, and $\\mathrm{IG}$ is itself a smooth Schubert variety in the submaximal isotropic Grassmannian $\\mathrm{IG}(k, 2n+2)$. We use the technique of curve neighborhoods to prove a Chevalley formula in the equivariant quantum cohomology of $\\mathrm{IG}$, i.e. a formula to multiply a Schubert class by the Schubert divisor cl"},"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":"1706.00385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-01T16:58:04Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"eb854f7982f1cb13ccbe2e5a6f90c395bf45fdd956e5da38bca2e2097cfadc21","abstract_canon_sha256":"d9a48e5497a45880802fddf602521a0bba466e8d844b82555bcc77031520567f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:14.171347Z","signature_b64":"Z9NUEU6UdFed2a0yrkiqQsmJFzbNUuHD4tfhg+RMKJ9XvVBUO0xmSQKGicjAe9AWCExmTjhWj7a3rpG9MffDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"509bae9b8d2c350ff79387ffe4b7c8815c531a86b61d44df79ab480a39cc678d","last_reissued_at":"2026-05-18T00:43:14.170659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:14.170659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Leonardo C. Mihalcea, Ryan M. Shifler","submitted_at":"2017-06-01T16:58:04Z","abstract_excerpt":"The odd symplectic Grassmannian $\\mathrm{IG}:=\\mathrm{IG}(k, 2n+1)$ parametrizes $k$ dimensional subspaces of $\\mathbb{C}^{2n+1}$ which are isotropic with respect to a general (necessarily degenerate) symplectic form. The odd symplectic group acts on $\\mathrm{IG}$ with two orbits, and $\\mathrm{IG}$ is itself a smooth Schubert variety in the submaximal isotropic Grassmannian $\\mathrm{IG}(k, 2n+2)$. We use the technique of curve neighborhoods to prove a Chevalley formula in the equivariant quantum cohomology of $\\mathrm{IG}$, i.e. a formula to multiply a Schubert class by the Schubert divisor cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00385","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":"1706.00385","created_at":"2026-05-18T00:43:14.170764+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.00385v1","created_at":"2026-05-18T00:43:14.170764+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00385","created_at":"2026-05-18T00:43:14.170764+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCN25G4NFQ2Q","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCN25G4NFQ2Q754T","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCN25G4N","created_at":"2026-05-18T12:31:24.725408+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/KCN25G4NFQ2Q754TQ776JN6IQF","json":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF.json","graph_json":"https://pith.science/api/pith-number/KCN25G4NFQ2Q754TQ776JN6IQF/graph.json","events_json":"https://pith.science/api/pith-number/KCN25G4NFQ2Q754TQ776JN6IQF/events.json","paper":"https://pith.science/paper/KCN25G4N"},"agent_actions":{"view_html":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF","download_json":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF.json","view_paper":"https://pith.science/paper/KCN25G4N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.00385&json=true","fetch_graph":"https://pith.science/api/pith-number/KCN25G4NFQ2Q754TQ776JN6IQF/graph.json","fetch_events":"https://pith.science/api/pith-number/KCN25G4NFQ2Q754TQ776JN6IQF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF/action/storage_attestation","attest_author":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF/action/author_attestation","sign_citation":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF/action/citation_signature","submit_replication":"https://pith.science/pith/KCN25G4NFQ2Q754TQ776JN6IQF/action/replication_record"}},"created_at":"2026-05-18T00:43:14.170764+00:00","updated_at":"2026-05-18T00:43:14.170764+00:00"}