{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IQOLSBFMS6DN7YIB5NTHI2HY44","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":"44832292691b6b7a8e3411040a1913cf9c3cb472dd1033260de482f52e439281","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-24T23:59:53Z","title_canon_sha256":"c1c8bb0efcb41ad3beba883d102cf7e9352ea2dd86e4e28674f71f101084056c"},"schema_version":"1.0","source":{"id":"1111.5873","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.5873","created_at":"2026-05-18T02:40:45Z"},{"alias_kind":"arxiv_version","alias_value":"1111.5873v5","created_at":"2026-05-18T02:40:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.5873","created_at":"2026-05-18T02:40:45Z"},{"alias_kind":"pith_short_12","alias_value":"IQOLSBFMS6DN","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IQOLSBFMS6DN7YIB","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IQOLSBFM","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:789ba8f5c4d4365e4050e445f0ce9650190afdc516ea937925732e5f8ecbd4e6","target":"graph","created_at":"2026-05-18T02:40:45Z","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":"We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Fr\\\"olicher sequence is studied as well as its relation to the existence of strongly Gauduchon metrics. We also show that the strongly Gauduchon property and the balanced property are not closed under holomorphic deformation.","authors_text":"Antonio Otal, Luis Ugarte, Manuel Ceballos, Raquel Villacampa","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-24T23:59:53Z","title":"Invariant complex structures on 6-nilmanifolds: classification, Fr\\\"olicher spectral sequence and special Hermitian metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.5873","kind":"arxiv","version":5},"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":"sha256:1db67bab8d248898a1fd905b0dddc925d801424aa47fb7efb243bd748a1774e4","target":"record","created_at":"2026-05-18T02:40:45Z","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":"44832292691b6b7a8e3411040a1913cf9c3cb472dd1033260de482f52e439281","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-24T23:59:53Z","title_canon_sha256":"c1c8bb0efcb41ad3beba883d102cf7e9352ea2dd86e4e28674f71f101084056c"},"schema_version":"1.0","source":{"id":"1111.5873","kind":"arxiv","version":5}},"canonical_sha256":"441cb904ac9786dfe101eb667468f8e714c90612e0c1d6df2a0bd9573e5af971","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"441cb904ac9786dfe101eb667468f8e714c90612e0c1d6df2a0bd9573e5af971","first_computed_at":"2026-05-18T02:40:45.968823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:45.968823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G44y4428adp6nBUbj/kzif2kw2GMB1E/zYss7UMFiM0dv3rKJbCw/XsWCsW/sKbEJNRSWlbP8e/v84xrulK0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:45.969239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.5873","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1db67bab8d248898a1fd905b0dddc925d801424aa47fb7efb243bd748a1774e4","sha256:789ba8f5c4d4365e4050e445f0ce9650190afdc516ea937925732e5f8ecbd4e6"],"state_sha256":"d663d81cbb78f170a7d5e74eebf0b9e774b683f40731bbf2383a608da97b1f5d"}