{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:BDCK4XTZ23SFWXFW4SE7PTESBM","short_pith_number":"pith:BDCK4XTZ","schema_version":"1.0","canonical_sha256":"08c4ae5e79d6e45b5cb6e489f7cc920b10dd293cbd0382832fc753123ab28b18","source":{"kind":"arxiv","id":"0901.0218","version":3},"attestation_state":"computed","paper":{"title":"Graded Specht modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Alexander Kleshchev, Jonathan Brundan, Weiqiang Wang","submitted_at":"2009-01-02T07:38:52Z","abstract_excerpt":"Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l,1,d). In this paper we explain how to grade Specht modules over these algebras."},"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":"0901.0218","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-01-02T07:38:52Z","cross_cats_sorted":[],"title_canon_sha256":"c3dc659b86b2eb51fed97864ee978bf92909e71d57afa69b90b1f4941e263118","abstract_canon_sha256":"bdb197bd13ed2c101cb5bdfc51260349a4ad00dd8b215bec4d768acef3456bd6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:10:10.843799Z","signature_b64":"M+WQRFwj5namlZ3enhy5oAG1qrVIFjMeeh+AAZPv4gjA8MqBXVzJvcJRfIUUX5JJfX4R6e0K3yjvcQ8LVd3MBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08c4ae5e79d6e45b5cb6e489f7cc920b10dd293cbd0382832fc753123ab28b18","last_reissued_at":"2026-05-18T04:10:10.842845Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:10:10.842845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Graded Specht modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Alexander Kleshchev, Jonathan Brundan, Weiqiang Wang","submitted_at":"2009-01-02T07:38:52Z","abstract_excerpt":"Recently, the first two authors have defined a Z-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l,1,d). In this paper we explain how to grade Specht modules over these algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0218","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":"0901.0218","created_at":"2026-05-18T04:10:10.842985+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.0218v3","created_at":"2026-05-18T04:10:10.842985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0218","created_at":"2026-05-18T04:10:10.842985+00:00"},{"alias_kind":"pith_short_12","alias_value":"BDCK4XTZ23SF","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"BDCK4XTZ23SFWXFW","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"BDCK4XTZ","created_at":"2026-05-18T12:25:58.837520+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.00421","citing_title":"Kleshchev multipartitions, affine Mirkovi\\'c-Vilonen polytopes, and representations of KLR algebras in type ${\\tt A}^{(1)}_1$","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM","json":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM.json","graph_json":"https://pith.science/api/pith-number/BDCK4XTZ23SFWXFW4SE7PTESBM/graph.json","events_json":"https://pith.science/api/pith-number/BDCK4XTZ23SFWXFW4SE7PTESBM/events.json","paper":"https://pith.science/paper/BDCK4XTZ"},"agent_actions":{"view_html":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM","download_json":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM.json","view_paper":"https://pith.science/paper/BDCK4XTZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.0218&json=true","fetch_graph":"https://pith.science/api/pith-number/BDCK4XTZ23SFWXFW4SE7PTESBM/graph.json","fetch_events":"https://pith.science/api/pith-number/BDCK4XTZ23SFWXFW4SE7PTESBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM/action/storage_attestation","attest_author":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM/action/author_attestation","sign_citation":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM/action/citation_signature","submit_replication":"https://pith.science/pith/BDCK4XTZ23SFWXFW4SE7PTESBM/action/replication_record"}},"created_at":"2026-05-18T04:10:10.842985+00:00","updated_at":"2026-05-18T04:10:10.842985+00:00"}