{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:PEL77KYNGSNTTDRCYKANKE5S4A","short_pith_number":"pith:PEL77KYN","schema_version":"1.0","canonical_sha256":"7917ffab0d349b398e22c280d513b2e01032c72c24f1c0ed10aa628fade65d22","source":{"kind":"arxiv","id":"1406.3757","version":1},"attestation_state":"computed","paper":{"title":"$GL(m|n)$-supermodules with good and Weyl filtrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Alexandr N. Zubkov","submitted_at":"2014-06-14T17:13:52Z","abstract_excerpt":"The purpose of this paper is to prove necessary and sufficient criteria for a $GL(m|n)$-supermodule to have a good or Weryl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found."},"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":"1406.3757","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-06-14T17:13:52Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"6df9cb1af4b43b387cd4e4feaaae680031c25b10cef803894fa1a115cd2e72b6","abstract_canon_sha256":"3d65a63529f33eec075b9d367ff833b4e4c8961cff0809b1833d8acf6a12a55d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:45.095432Z","signature_b64":"v8JxigW5fO29T6xBBVtyF80eLVJwZnEo9KJw2QPDFxB7d3pfZnsrl7ZT5s3dBoxoE7BOO9vpjX6pcC9g4IVMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7917ffab0d349b398e22c280d513b2e01032c72c24f1c0ed10aa628fade65d22","last_reissued_at":"2026-05-18T02:49:45.095060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:45.095060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$GL(m|n)$-supermodules with good and Weyl filtrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Alexandr N. Zubkov","submitted_at":"2014-06-14T17:13:52Z","abstract_excerpt":"The purpose of this paper is to prove necessary and sufficient criteria for a $GL(m|n)$-supermodule to have a good or Weryl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3757","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":"1406.3757","created_at":"2026-05-18T02:49:45.095117+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.3757v1","created_at":"2026-05-18T02:49:45.095117+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3757","created_at":"2026-05-18T02:49:45.095117+00:00"},{"alias_kind":"pith_short_12","alias_value":"PEL77KYNGSNT","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PEL77KYNGSNTTDRC","created_at":"2026-05-18T12:28:43.426989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PEL77KYN","created_at":"2026-05-18T12:28:43.426989+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/PEL77KYNGSNTTDRCYKANKE5S4A","json":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A.json","graph_json":"https://pith.science/api/pith-number/PEL77KYNGSNTTDRCYKANKE5S4A/graph.json","events_json":"https://pith.science/api/pith-number/PEL77KYNGSNTTDRCYKANKE5S4A/events.json","paper":"https://pith.science/paper/PEL77KYN"},"agent_actions":{"view_html":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A","download_json":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A.json","view_paper":"https://pith.science/paper/PEL77KYN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.3757&json=true","fetch_graph":"https://pith.science/api/pith-number/PEL77KYNGSNTTDRCYKANKE5S4A/graph.json","fetch_events":"https://pith.science/api/pith-number/PEL77KYNGSNTTDRCYKANKE5S4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A/action/storage_attestation","attest_author":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A/action/author_attestation","sign_citation":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A/action/citation_signature","submit_replication":"https://pith.science/pith/PEL77KYNGSNTTDRCYKANKE5S4A/action/replication_record"}},"created_at":"2026-05-18T02:49:45.095117+00:00","updated_at":"2026-05-18T02:49:45.095117+00:00"}