{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VSLOFY4QBJDDC4TCPJKMCX3SJP","short_pith_number":"pith:VSLOFY4Q","schema_version":"1.0","canonical_sha256":"ac96e2e3900a463172627a54c15f724bf43552ef951fd37222d89b6289ad1a82","source":{"kind":"arxiv","id":"1104.0870","version":1},"attestation_state":"computed","paper":{"title":"Wronskians, cyclic group actions, and ribbon tableaux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Kevin Purbhoo","submitted_at":"2011-04-05T15:33:23Z","abstract_excerpt":"The Wronski map is a finite, PGL_2(C)-equivariant morphism from the Grassmannian Gr(d,n) to a projective space (the projectivization of a vector space of polynomials). We consider the following problem. If C_r < PGL_2(C) is a cyclic subgroup of order r, how may C_r-fixed points are in the in a fibre of the Wronski map over a C_r-fixed point in the base?\n  In this paper, we compute a general answer in terms of r-ribbon tableaux. When r=2, this computation gives the number of real points in the fibre of the Wronski map over a real polynomial with purely imaginary roots. More generally, we can co"},"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":"1104.0870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-05T15:33:23Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"68b516cce38975a055080c8a9a74359c4d1a9a524076cf87e8b0827c7828e5e3","abstract_canon_sha256":"68738c1e525366f53defacd6658f1398f3da46dce79ea6747ec5cdaf61e3459f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:02.363648Z","signature_b64":"OzMQmGq8a7Nj15togmH3A1utgGXRa23+e+hmGL1sNYDtkB9ib6Z1e11zglMp3XFtQe+PmOMPw7stkg8VTshaAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac96e2e3900a463172627a54c15f724bf43552ef951fd37222d89b6289ad1a82","last_reissued_at":"2026-05-18T04:25:02.363153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:02.363153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wronskians, cyclic group actions, and ribbon tableaux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Kevin Purbhoo","submitted_at":"2011-04-05T15:33:23Z","abstract_excerpt":"The Wronski map is a finite, PGL_2(C)-equivariant morphism from the Grassmannian Gr(d,n) to a projective space (the projectivization of a vector space of polynomials). We consider the following problem. If C_r < PGL_2(C) is a cyclic subgroup of order r, how may C_r-fixed points are in the in a fibre of the Wronski map over a C_r-fixed point in the base?\n  In this paper, we compute a general answer in terms of r-ribbon tableaux. When r=2, this computation gives the number of real points in the fibre of the Wronski map over a real polynomial with purely imaginary roots. More generally, we can co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0870","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":"1104.0870","created_at":"2026-05-18T04:25:02.363220+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.0870v1","created_at":"2026-05-18T04:25:02.363220+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0870","created_at":"2026-05-18T04:25:02.363220+00:00"},{"alias_kind":"pith_short_12","alias_value":"VSLOFY4QBJDD","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VSLOFY4QBJDDC4TC","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VSLOFY4Q","created_at":"2026-05-18T12:26:44.992195+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/VSLOFY4QBJDDC4TCPJKMCX3SJP","json":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP.json","graph_json":"https://pith.science/api/pith-number/VSLOFY4QBJDDC4TCPJKMCX3SJP/graph.json","events_json":"https://pith.science/api/pith-number/VSLOFY4QBJDDC4TCPJKMCX3SJP/events.json","paper":"https://pith.science/paper/VSLOFY4Q"},"agent_actions":{"view_html":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP","download_json":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP.json","view_paper":"https://pith.science/paper/VSLOFY4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.0870&json=true","fetch_graph":"https://pith.science/api/pith-number/VSLOFY4QBJDDC4TCPJKMCX3SJP/graph.json","fetch_events":"https://pith.science/api/pith-number/VSLOFY4QBJDDC4TCPJKMCX3SJP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP/action/storage_attestation","attest_author":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP/action/author_attestation","sign_citation":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP/action/citation_signature","submit_replication":"https://pith.science/pith/VSLOFY4QBJDDC4TCPJKMCX3SJP/action/replication_record"}},"created_at":"2026-05-18T04:25:02.363220+00:00","updated_at":"2026-05-18T04:25:02.363220+00:00"}