{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SYSKXDYIFZXBLD44HCZUDWE53A","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5b3d58e636d9063ba531cb48fac196d82e95fffa14c76ce9eecae907de1a5a89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-09-15T22:31:58Z","title_canon_sha256":"9d7764d9c2dec2af9992612f9f10f3d12fa8be92767b1ecb2f959f3952722d66"},"schema_version":"1.0","source":{"id":"1309.3801","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.3801","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"arxiv_version","alias_value":"1309.3801v2","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.3801","created_at":"2026-05-18T02:53:56Z"},{"alias_kind":"pith_short_12","alias_value":"SYSKXDYIFZXB","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SYSKXDYIFZXBLD44","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SYSKXDYI","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:5381ca5a1dcc0a18e7a7879e7f2fae395293b1ad4ce22e9b04062ab8df4813e1","target":"graph","created_at":"2026-05-18T02:53:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The purpose of the paper is to derive formulas that describe the structure of the induced supermodule H^0_G(\\la) for the general linear supergroup G=GL(m|n) over an algebraically closed field K of characteristic p\\neq 2. Using these formulas we determine primitive G_{ev}=GL(m)\\times GL(n)-vectors in H^0_G(\\lambda). We conclude with remarks related to the linkage principle in positive characteristic.","authors_text":"Frantisek Marko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-09-15T22:31:58Z","title":"Primitive vectors in induced supermodules for general linear supergroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3801","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bc2d59d35a234fcd921e724d828bd86e5e2dc9ad3a274a0a5cd7ed4cb8f639ed","target":"record","created_at":"2026-05-18T02:53:56Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5b3d58e636d9063ba531cb48fac196d82e95fffa14c76ce9eecae907de1a5a89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2013-09-15T22:31:58Z","title_canon_sha256":"9d7764d9c2dec2af9992612f9f10f3d12fa8be92767b1ecb2f959f3952722d66"},"schema_version":"1.0","source":{"id":"1309.3801","kind":"arxiv","version":2}},"canonical_sha256":"9624ab8f082e6e158f9c38b341d89dd806cdad2c5ec017b9e6fd3ae771cc45fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9624ab8f082e6e158f9c38b341d89dd806cdad2c5ec017b9e6fd3ae771cc45fb","first_computed_at":"2026-05-18T02:53:56.212712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:56.212712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uDAQjg/DvofGPR6I4jtN5q0rqoyie9D7a8fsLoOH3p9znLPjMOKhZLIutp02Y+pB+poX5dxKbguuFJ+tiyITAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:56.213890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.3801","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc2d59d35a234fcd921e724d828bd86e5e2dc9ad3a274a0a5cd7ed4cb8f639ed","sha256:5381ca5a1dcc0a18e7a7879e7f2fae395293b1ad4ce22e9b04062ab8df4813e1"],"state_sha256":"3b9e626790af7ca0d50a4aabfbbdbcc38030e2ab1eb703469f1b63aecd252f95"}