{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:K63EIBJKYBVSXOKBAAF47NMMWZ","short_pith_number":"pith:K63EIBJK","schema_version":"1.0","canonical_sha256":"57b644052ac06b2bb941000bcfb58cb653fa042a259d8c92e0b36b556cf0e7d1","source":{"kind":"arxiv","id":"1405.3890","version":2},"attestation_state":"computed","paper":{"title":"Some homological properties of $GL(m|n)$ in arbitrary characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Alexandr N. Zubkov","submitted_at":"2014-05-15T15:55:17Z","abstract_excerpt":"We show that Penkov's approach to a superanalog of Borel-Bott-Weil theorem for $G=GL(m|n)$ over a field of zero characteristic can be extended for a perfect field of arbitrary odd characteristic. We also prove some partial version of Kempf's vanishing theorem and characteristic free formula for Euler characteristic $\\chi(B, \\lambda^{\\epsilon})$, where $B$ is a Borel subgroup of $G$."},"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":"1405.3890","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-05-15T15:55:17Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"bb1578329c067e8ad23037c41678180f2f9627b0f799989be36c53ada611ef89","abstract_canon_sha256":"2333c61989811f67184e29a6824642d14cacd40c17b0d9f717df7f83eaa43718"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:46.882425Z","signature_b64":"s7bqhUu2wzI7rStjz0VzNNZs3NBzR1XC02WRwBG6WYo1piTGG+y3bGpBXQu5x/sD/vrckVi2Sa/pyn4/NBWlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57b644052ac06b2bb941000bcfb58cb653fa042a259d8c92e0b36b556cf0e7d1","last_reissued_at":"2026-05-18T02:49:46.882008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:46.882008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some homological properties of $GL(m|n)$ in arbitrary characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Alexandr N. Zubkov","submitted_at":"2014-05-15T15:55:17Z","abstract_excerpt":"We show that Penkov's approach to a superanalog of Borel-Bott-Weil theorem for $G=GL(m|n)$ over a field of zero characteristic can be extended for a perfect field of arbitrary odd characteristic. We also prove some partial version of Kempf's vanishing theorem and characteristic free formula for Euler characteristic $\\chi(B, \\lambda^{\\epsilon})$, where $B$ is a Borel subgroup of $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3890","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":"1405.3890","created_at":"2026-05-18T02:49:46.882068+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.3890v2","created_at":"2026-05-18T02:49:46.882068+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3890","created_at":"2026-05-18T02:49:46.882068+00:00"},{"alias_kind":"pith_short_12","alias_value":"K63EIBJKYBVS","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"K63EIBJKYBVSXOKB","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"K63EIBJK","created_at":"2026-05-18T12:28:35.611951+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/K63EIBJKYBVSXOKBAAF47NMMWZ","json":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ.json","graph_json":"https://pith.science/api/pith-number/K63EIBJKYBVSXOKBAAF47NMMWZ/graph.json","events_json":"https://pith.science/api/pith-number/K63EIBJKYBVSXOKBAAF47NMMWZ/events.json","paper":"https://pith.science/paper/K63EIBJK"},"agent_actions":{"view_html":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ","download_json":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ.json","view_paper":"https://pith.science/paper/K63EIBJK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.3890&json=true","fetch_graph":"https://pith.science/api/pith-number/K63EIBJKYBVSXOKBAAF47NMMWZ/graph.json","fetch_events":"https://pith.science/api/pith-number/K63EIBJKYBVSXOKBAAF47NMMWZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ/action/storage_attestation","attest_author":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ/action/author_attestation","sign_citation":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ/action/citation_signature","submit_replication":"https://pith.science/pith/K63EIBJKYBVSXOKBAAF47NMMWZ/action/replication_record"}},"created_at":"2026-05-18T02:49:46.882068+00:00","updated_at":"2026-05-18T02:49:46.882068+00:00"}