{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BNOFV7V2667NKXMGR5ARALGYOA","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":"e209e4fc8e15dc96bf628a92600b47fd557bb36c7ed1ae122d8da189f0dea0e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-20T18:31:15Z","title_canon_sha256":"7c6b342013d3ae90d14cd5973eb8bf7e9aa3d2cef5a72dca1ae57386850b8531"},"schema_version":"1.0","source":{"id":"1012.4429","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4429","created_at":"2026-05-18T02:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4429v3","created_at":"2026-05-18T02:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4429","created_at":"2026-05-18T02:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"BNOFV7V2667N","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BNOFV7V2667NKXMG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BNOFV7V2","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:073db2393f5257ef83b8c2958e88eb849402826a542fe81929d00c7a364bae9b","target":"graph","created_at":"2026-05-18T02:01:08Z","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":"A complex Lie supergroup can be described as a real Lie supergroup with integrable almost complex structure. The necessary and sufficient conditions on an almost complex structure on a real Lie supergroup for defining a complex Lie supergroup are deduced. The classification of real Lie supergroups with such almost complex structures yields a new approach to the known classification of complex Lie supergroups by complex Harish-Chandra superpairs. A universal complexification of a real Lie supergroup is constructed.","authors_text":"Matthias Kalus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-20T18:31:15Z","title":"Almost complex structures on real Lie supergroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4429","kind":"arxiv","version":3},"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":"sha256:3868dff0f1e537f5403b29d443e55fe33a4e14f1e304f22c23f9e008964ebeae","target":"record","created_at":"2026-05-18T02:01:08Z","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":"e209e4fc8e15dc96bf628a92600b47fd557bb36c7ed1ae122d8da189f0dea0e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2010-12-20T18:31:15Z","title_canon_sha256":"7c6b342013d3ae90d14cd5973eb8bf7e9aa3d2cef5a72dca1ae57386850b8531"},"schema_version":"1.0","source":{"id":"1012.4429","kind":"arxiv","version":3}},"canonical_sha256":"0b5c5afebaf7bed55d868f41102cd8703e7a63da8df14d3629ea39faeb51a7d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b5c5afebaf7bed55d868f41102cd8703e7a63da8df14d3629ea39faeb51a7d9","first_computed_at":"2026-05-18T02:01:08.252694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:08.252694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W9gJiIIZRCOSc4wZqy0NPz/fLUtqVmBCD8AR8K/KSct1sEV3D+WLpZ+//6d51l7eKd5n2NHdSW7zGYjsP2IqBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:08.253409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4429","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3868dff0f1e537f5403b29d443e55fe33a4e14f1e304f22c23f9e008964ebeae","sha256:073db2393f5257ef83b8c2958e88eb849402826a542fe81929d00c7a364bae9b"],"state_sha256":"ae4d6b152e4a1ac2a5dee7a2805031be6b227fed497be40683aa312040addbe0"}