{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KEAR335KUX3LOTOENHHLALYTCK","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":"1957de97d7d76010eddab6a77ec651158c6a1c35e71fe1c4aa632559d28015e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-11T19:26:21Z","title_canon_sha256":"79b365b442c77f4e9f99a22a88087e1da3f36047640444ddebd54280fbe197d7"},"schema_version":"1.0","source":{"id":"1408.2496","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2496","created_at":"2026-05-18T01:35:00Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2496v2","created_at":"2026-05-18T01:35:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2496","created_at":"2026-05-18T01:35:00Z"},{"alias_kind":"pith_short_12","alias_value":"KEAR335KUX3L","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KEAR335KUX3LOTOE","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KEAR335K","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:7b724321c1ff6aa633c555979a41b7bede686123358da4279368c4a4f516e969","target":"graph","created_at":"2026-05-18T01:35:00Z","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 construct a compact simply-connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such manifolds, proving in particular that a simply-connected 7-dimensional Sasakian manifold has vanishing cup-product on the second cohomology and that it is formal if and only if all its triple Massey products vanish.","authors_text":"Aleksy Tralle, Vicente Munoz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-11T19:26:21Z","title":"Simply-connected K-contact and Sasakian manifolds of dimension 7"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2496","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":"sha256:485d8184e0479285024e45488daa9b8faffee1f65442810a35197d6e31801ad9","target":"record","created_at":"2026-05-18T01:35:00Z","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":"1957de97d7d76010eddab6a77ec651158c6a1c35e71fe1c4aa632559d28015e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-11T19:26:21Z","title_canon_sha256":"79b365b442c77f4e9f99a22a88087e1da3f36047640444ddebd54280fbe197d7"},"schema_version":"1.0","source":{"id":"1408.2496","kind":"arxiv","version":2}},"canonical_sha256":"51011defaaa5f6b74dc469ceb02f1312a6f668dfbadb5b0147a430d7ccf320e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51011defaaa5f6b74dc469ceb02f1312a6f668dfbadb5b0147a430d7ccf320e1","first_computed_at":"2026-05-18T01:35:00.979675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:00.979675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/x6K8IwaqDPeuvmjBUjh6BGBKbj3Pipi3A//gmyUMlrbl3pCMOOyzWPA6ynAHlUndOaIMltPsQlxytNVBZuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:00.980417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2496","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:485d8184e0479285024e45488daa9b8faffee1f65442810a35197d6e31801ad9","sha256:7b724321c1ff6aa633c555979a41b7bede686123358da4279368c4a4f516e969"],"state_sha256":"c5b96256a8b76899aa4842460d663f51960211367d86f1f861c5045cbfec8965"}