{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ECQP6VDKWSOLDQL774KTEY4G66","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":"fbb87c8aa1c9f7bceedd0a82f81190f58388ae28a9e268c100a075f86d2d93a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-27T14:12:21Z","title_canon_sha256":"986abc76a363000abc6873d92f25a12183b8262931fbca549690166908979ad1"},"schema_version":"1.0","source":{"id":"1903.11438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11438","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11438v1","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11438","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"ECQP6VDKWSOL","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"ECQP6VDKWSOLDQL7","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"ECQP6VDK","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:68df5f7fe9db090d1c424e7f62193059617f44f8349200f5fa546241e34a878d","target":"graph","created_at":"2026-05-17T23:50:03Z","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":"In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial description of the restriction to sl_5 of the Verma module induced by the trivial representation. We use this description to classify morphisms between Verma modules of degree one, two and three proving in these cases a conjecture given by Rudakov. A key tool is the notion of dual morphism between Verma modules.","authors_text":"Fabrizio Caselli, Nicoletta Cantarini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-27T14:12:21Z","title":"Low degree morphisms of E(5,10)-generalized verma modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11438","kind":"arxiv","version":1},"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":"sha256:0e9059afef5a4d9851f64cd0f0fd19d75f309c8daea11858b8fc78807f1e3395","target":"record","created_at":"2026-05-17T23:50:03Z","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":"fbb87c8aa1c9f7bceedd0a82f81190f58388ae28a9e268c100a075f86d2d93a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-03-27T14:12:21Z","title_canon_sha256":"986abc76a363000abc6873d92f25a12183b8262931fbca549690166908979ad1"},"schema_version":"1.0","source":{"id":"1903.11438","kind":"arxiv","version":1}},"canonical_sha256":"20a0ff546ab49cb1c17fff15326386f7bb76f6ff438283bf217489e98b056803","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20a0ff546ab49cb1c17fff15326386f7bb76f6ff438283bf217489e98b056803","first_computed_at":"2026-05-17T23:50:03.300036Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:03.300036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kpLEIjsD3phXUZ1KpxHsLfxBJ2tk9sN/+89tTdgnrzeW3oUvFwHjqO+46r9nROwAy/2KXrVVuckhUb0iHU8nAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:03.300474Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e9059afef5a4d9851f64cd0f0fd19d75f309c8daea11858b8fc78807f1e3395","sha256:68df5f7fe9db090d1c424e7f62193059617f44f8349200f5fa546241e34a878d"],"state_sha256":"0709686530486644dee2992c5584d30213d0e8934c7c0839798e112a3a652497"}