{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QEK5NWN7U3HB4Y5M3LXWKQCDAR","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":"5f93ba0cfd5624ba101777fdd3a9d6de4061ef8cac9c7b7a5e201ab05cff817a","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-04-04T13:37:58Z","title_canon_sha256":"05d9a574d1c16854a3ee11c2e834ad6bd3a5abab319dbf4b31113e06c2aa1c5c"},"schema_version":"1.0","source":{"id":"0804.0738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0738","created_at":"2026-05-18T01:22:54Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0738v2","created_at":"2026-05-18T01:22:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0738","created_at":"2026-05-18T01:22:54Z"},{"alias_kind":"pith_short_12","alias_value":"QEK5NWN7U3HB","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"QEK5NWN7U3HB4Y5M","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"QEK5NWN7","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:4c008560cd231e5ee89699add8a6444848c1fda39dbe6bf885d64a37bbd71834","target":"graph","created_at":"2026-05-18T01:22:54Z","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 existence of some complex geometrical structures on a compact manifold such as complex structures, Kaehler (pseudo-Kaehler) structures often impose certain restrictions on its underling topological or differentiable manifold. In this article we survey recent developments in the study of the existence, classification and moduli problems of such structures on compact homogeneous manifolds.","authors_text":"Keizo Hasegawa","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-04-04T13:37:58Z","title":"Complex and Kaehler structures on compact homogeneous manifolds - their existence, classification and moduli problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0738","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":"sha256:9fcf16aea087aa91eeee7dbfb0684be470eabb660406cddaf1da3e2236ae3a10","target":"record","created_at":"2026-05-18T01:22:54Z","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":"5f93ba0cfd5624ba101777fdd3a9d6de4061ef8cac9c7b7a5e201ab05cff817a","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2008-04-04T13:37:58Z","title_canon_sha256":"05d9a574d1c16854a3ee11c2e834ad6bd3a5abab319dbf4b31113e06c2aa1c5c"},"schema_version":"1.0","source":{"id":"0804.0738","kind":"arxiv","version":2}},"canonical_sha256":"8115d6d9bfa6ce1e63acdaef654043045ab727faf169583406b68821d3a1e4a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8115d6d9bfa6ce1e63acdaef654043045ab727faf169583406b68821d3a1e4a9","first_computed_at":"2026-05-18T01:22:54.598540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:54.598540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mUHrTu/GJ7+AAlkgPnGql++lAmlgw4WOIJVZfIPxrSZoOTZtHtfVpL+ji+/BZPsToj8RpljkMS/Qld+gWtP6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:54.599046Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.0738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fcf16aea087aa91eeee7dbfb0684be470eabb660406cddaf1da3e2236ae3a10","sha256:4c008560cd231e5ee89699add8a6444848c1fda39dbe6bf885d64a37bbd71834"],"state_sha256":"5d022d6e205a89a77fc4ff1a31ebf468866007ab5b6f19c4497c64b446e9872a"}