{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:V5SC6RZD5WPVXF5QFA6Y3MRMXP","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":"9db544e16512abd3ace9b1c3402acdf65f0dc8ffc377ecf1d3dc933d596c2ea1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-17T13:13:47Z","title_canon_sha256":"55dfe34abb9b4a79c4e5c22345c59773f1233e99d6d7d52a16d27bfef2f2445c"},"schema_version":"1.0","source":{"id":"0804.2794","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.2794","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"arxiv_version","alias_value":"0804.2794v1","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.2794","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"pith_short_12","alias_value":"V5SC6RZD5WPV","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"V5SC6RZD5WPVXF5Q","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"V5SC6RZD","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:6e5dcb421ab4ae0e756dd5560dde595fd966a9202702507312f1b533e82a68ac","target":"graph","created_at":"2026-05-18T03:56:23Z","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 3-parametric family of 6-dimensional quasi-Kaehler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically. The condition for such a 6-manifold to be isotropic Kaehler is given.","authors_text":"Dimitar Mekerov, Kostadin Gribachev, Mancho Manev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-17T13:13:47Z","title":"On three-parametric Lie groups as quasi-Kaehler manifolds with Killing Norden metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.2794","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":"sha256:6e9cfd5a500c0af07b7124d087da80868e95a8de15ffb6546e1fa2fc277b8524","target":"record","created_at":"2026-05-18T03:56:23Z","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":"9db544e16512abd3ace9b1c3402acdf65f0dc8ffc377ecf1d3dc933d596c2ea1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-17T13:13:47Z","title_canon_sha256":"55dfe34abb9b4a79c4e5c22345c59773f1233e99d6d7d52a16d27bfef2f2445c"},"schema_version":"1.0","source":{"id":"0804.2794","kind":"arxiv","version":1}},"canonical_sha256":"af642f4723ed9f5b97b0283d8db22cbbd1924efb457e85d00701bd1e7a66bde1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af642f4723ed9f5b97b0283d8db22cbbd1924efb457e85d00701bd1e7a66bde1","first_computed_at":"2026-05-18T03:56:23.160855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:23.160855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sSwOT92bFR5fV67ybEHaTVE8Y3qIL+G8Bj9/LcWQy4CpZ2z/y6WKhdLqGkxQI/6PyTrVJatkiE8iN5Xs0l1BDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:23.161539Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.2794","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e9cfd5a500c0af07b7124d087da80868e95a8de15ffb6546e1fa2fc277b8524","sha256:6e5dcb421ab4ae0e756dd5560dde595fd966a9202702507312f1b533e82a68ac"],"state_sha256":"a6d38da908b864ac7e246d5e476ee23187ba950f2b710abaac4e016fbdc01bc5"}