{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:42D372MDU7IV63I4KGJFU3JY2S","short_pith_number":"pith:42D372MD","schema_version":"1.0","canonical_sha256":"e687bfe983a7d15f6d1c51925a6d38d4a2699fe22817d44c1cb3996d914747bf","source":{"kind":"arxiv","id":"1307.2702","version":3},"attestation_state":"computed","paper":{"title":"Modular generalized Springer correspondence I: the general linear group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Anthony Henderson, Daniel Juteau, Pramod N. Achar, Simon Riche","submitted_at":"2013-07-10T07:38:00Z","abstract_excerpt":"We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the `recollement' properties, and with subquotients equivalent to categories of representations of a product of symmetric groups."},"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":"1307.2702","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-07-10T07:38:00Z","cross_cats_sorted":[],"title_canon_sha256":"87c9acd956f4305881502e1977baa75c3a8c75fdbb3cc5e1f03ee5a36eaeb94d","abstract_canon_sha256":"e32f2a0826c47157b8a1241e987307b8d63031f3429f261383fdfeb33c5d1bec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:58.007345Z","signature_b64":"gk7O84KqvNhcQ2vpTCSFjRGi8GaoyrSME1gI0P2IEs2NocpflEJ43brHlGyf/3K0mgN32bF8ENoqzmg58pgmDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e687bfe983a7d15f6d1c51925a6d38d4a2699fe22817d44c1cb3996d914747bf","last_reissued_at":"2026-05-18T01:11:58.006983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:58.006983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular generalized Springer correspondence I: the general linear group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Anthony Henderson, Daniel Juteau, Pramod N. Achar, Simon Riche","submitted_at":"2013-07-10T07:38:00Z","abstract_excerpt":"We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the `recollement' properties, and with subquotients equivalent to categories of representations of a product of symmetric groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.2702","kind":"arxiv","version":3},"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":"1307.2702","created_at":"2026-05-18T01:11:58.007047+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.2702v3","created_at":"2026-05-18T01:11:58.007047+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.2702","created_at":"2026-05-18T01:11:58.007047+00:00"},{"alias_kind":"pith_short_12","alias_value":"42D372MDU7IV","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"42D372MDU7IV63I4","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"42D372MD","created_at":"2026-05-18T12:27:32.513160+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/42D372MDU7IV63I4KGJFU3JY2S","json":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S.json","graph_json":"https://pith.science/api/pith-number/42D372MDU7IV63I4KGJFU3JY2S/graph.json","events_json":"https://pith.science/api/pith-number/42D372MDU7IV63I4KGJFU3JY2S/events.json","paper":"https://pith.science/paper/42D372MD"},"agent_actions":{"view_html":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S","download_json":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S.json","view_paper":"https://pith.science/paper/42D372MD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.2702&json=true","fetch_graph":"https://pith.science/api/pith-number/42D372MDU7IV63I4KGJFU3JY2S/graph.json","fetch_events":"https://pith.science/api/pith-number/42D372MDU7IV63I4KGJFU3JY2S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S/action/storage_attestation","attest_author":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S/action/author_attestation","sign_citation":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S/action/citation_signature","submit_replication":"https://pith.science/pith/42D372MDU7IV63I4KGJFU3JY2S/action/replication_record"}},"created_at":"2026-05-18T01:11:58.007047+00:00","updated_at":"2026-05-18T01:11:58.007047+00:00"}