{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UIL7Y562YPA5EB5FMYOLVHOJOF","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":"6afe59a00607e0ad3f2f3b4de3c1a77d5de821397c52b051a6faa80e71043ce0","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-25T15:35:24Z","title_canon_sha256":"ac40677d2db0b054fb6b985b2e9c02b0bfa89e33b99f0df664fd692e3a95894f"},"schema_version":"1.0","source":{"id":"1502.07201","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.07201","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"arxiv_version","alias_value":"1502.07201v2","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07201","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"pith_short_12","alias_value":"UIL7Y562YPA5","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UIL7Y562YPA5EB5F","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UIL7Y562","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:5edadb2d07b42d3d83afb1c2052dc6b75605e4c25785bd8a0c23a0531852ca30","target":"graph","created_at":"2026-05-18T01:19:57Z","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 describe all the nilradicals of parabolic subalgebras of split real simple Lie algebras admitting symplectic structures.\n  The main tools used to obtain this list are Kostant's description of the highest weight vectors (hwv) of the cohomology of these nilradicals and some necessary conditions obtained for the $\\mathfrak g$-hwv's of $H^2(\\mathfrak n)$ for a finite dimensional real symplectic nilpotent Lie algebra $\\mathfrak n$ with a reductive Lie subalgebra of derivations $\\mathfrak g$ acting on it.","authors_text":"Leandro Cagliero, Viviana del Barco","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-25T15:35:24Z","title":"Nilradicals of parabolic subalgebras admitting symplectic structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07201","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:ea3a2fe34b1c55060513756ee581f5de88b15965e85e6dc7463be36828affa88","target":"record","created_at":"2026-05-18T01:19:57Z","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":"6afe59a00607e0ad3f2f3b4de3c1a77d5de821397c52b051a6faa80e71043ce0","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-25T15:35:24Z","title_canon_sha256":"ac40677d2db0b054fb6b985b2e9c02b0bfa89e33b99f0df664fd692e3a95894f"},"schema_version":"1.0","source":{"id":"1502.07201","kind":"arxiv","version":2}},"canonical_sha256":"a217fc77dac3c1d207a5661cba9dc97157c0ae386c6f540bcaaf30efe754d82b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a217fc77dac3c1d207a5661cba9dc97157c0ae386c6f540bcaaf30efe754d82b","first_computed_at":"2026-05-18T01:19:57.504454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:57.504454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MrXaUjRo8SYxHVv7S2GwS2bc/irCNnLDaxJTg6uaTNvTOnee4Kii4Yy8wpbQAkOkSACrPWh1gpVj1YJgDaE2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:57.505115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.07201","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea3a2fe34b1c55060513756ee581f5de88b15965e85e6dc7463be36828affa88","sha256:5edadb2d07b42d3d83afb1c2052dc6b75605e4c25785bd8a0c23a0531852ca30"],"state_sha256":"ec955210133708cb3409f2842bf3b01d70d1080bc8b58b38f128df814ef70e26"}