{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BNLXYQ4ZJCCLEQWJXV5NQZ5GKN","short_pith_number":"pith:BNLXYQ4Z","schema_version":"1.0","canonical_sha256":"0b577c43994884b242c9bd7ad867a6534ef4aca8c371faf2b4d307ae52b2bee5","source":{"kind":"arxiv","id":"1407.1845","version":2},"attestation_state":"computed","paper":{"title":"Vertices of simple modules of symmetric groups labelled by hook partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eugenio Giannelli, Susanne Danz","submitted_at":"2014-07-07T20:00:11Z","abstract_excerpt":"In this article we study the vertices of simple modules for the symmetric groups in prime characteristic $p$. In particular, we complete the classification of the vertices of simple $S_n$-modules labelled by hook partitions."},"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":"1407.1845","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-07-07T20:00:11Z","cross_cats_sorted":[],"title_canon_sha256":"f6280ff92542bb4882d9e06165472fa612be770c47072142e779f1146a926357","abstract_canon_sha256":"703369a7766234b497b0a964b657bda95bc684666a084bf7250658d7c5865dde"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:48.018678Z","signature_b64":"j215izhrKQMeD3WjXIR4KT3FSKQy9rnTDCY2rFywMMqNCvpgUALResbahCfavxtYIPoGaWkyPxlAnC+Lu8VuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b577c43994884b242c9bd7ad867a6534ef4aca8c371faf2b4d307ae52b2bee5","last_reissued_at":"2026-05-18T02:39:48.018165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:48.018165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vertices of simple modules of symmetric groups labelled by hook partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Eugenio Giannelli, Susanne Danz","submitted_at":"2014-07-07T20:00:11Z","abstract_excerpt":"In this article we study the vertices of simple modules for the symmetric groups in prime characteristic $p$. In particular, we complete the classification of the vertices of simple $S_n$-modules labelled by hook partitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1845","kind":"arxiv","version":2},"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":"1407.1845","created_at":"2026-05-18T02:39:48.018239+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.1845v2","created_at":"2026-05-18T02:39:48.018239+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.1845","created_at":"2026-05-18T02:39:48.018239+00:00"},{"alias_kind":"pith_short_12","alias_value":"BNLXYQ4ZJCCL","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BNLXYQ4ZJCCLEQWJ","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BNLXYQ4Z","created_at":"2026-05-18T12:28:22.404517+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/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN","json":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN.json","graph_json":"https://pith.science/api/pith-number/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/graph.json","events_json":"https://pith.science/api/pith-number/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/events.json","paper":"https://pith.science/paper/BNLXYQ4Z"},"agent_actions":{"view_html":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN","download_json":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN.json","view_paper":"https://pith.science/paper/BNLXYQ4Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.1845&json=true","fetch_graph":"https://pith.science/api/pith-number/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/graph.json","fetch_events":"https://pith.science/api/pith-number/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/action/storage_attestation","attest_author":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/action/author_attestation","sign_citation":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/action/citation_signature","submit_replication":"https://pith.science/pith/BNLXYQ4ZJCCLEQWJXV5NQZ5GKN/action/replication_record"}},"created_at":"2026-05-18T02:39:48.018239+00:00","updated_at":"2026-05-18T02:39:48.018239+00:00"}