{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MNW7X5I63NQD36LO34RB6UKU22","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":"53040bf2051ab704da3881455c8cbf25fbb7045e1fc6c181e99c96fd509bdf88","cross_cats_sorted":["math.AT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-10T14:15:53Z","title_canon_sha256":"a6aab7e0fa59d8ce4e22bc7a157b12e7627f80fb310c5bc67356085f1036747d"},"schema_version":"1.0","source":{"id":"1605.03024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.03024","created_at":"2026-05-18T00:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"1605.03024v2","created_at":"2026-05-18T00:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.03024","created_at":"2026-05-18T00:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"MNW7X5I63NQD","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MNW7X5I63NQD36LO","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MNW7X5I6","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:e471407af1a56a6d6fbf0992e53a65d7d2bf8f27b7369d543b27ea2329a88094","target":"graph","created_at":"2026-05-18T00:53:50Z","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 prove the formality and the evenness of odd-degree Betti numbers for compact K\\\"ahler orbifolds, by adapting the classical proofs for K\\\"ahler manifolds. As a consequence, we obtain examples of symplectic orbifolds not admitting any K\\\"ahler orbifold structure. We also review the known examples of non-formal simply connected Sasakian manifolds, and produce an example of a non-formal quasi-regular Sasakian manifold with Betti numbers $b_1=0$ and $b_2\\,> 1$.","authors_text":"Aleksy Tralle, Giovanni Bazzoni, Indranil Biswas, Marisa Fern\\'andez, Vicente Mu\\~noz","cross_cats":["math.AT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-10T14:15:53Z","title":"Homotopic properties of K\\\"ahler orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.03024","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:b81db685e9e3822ef672ebe066bcc46759e939cd63903ab5d8818f414fa4af7e","target":"record","created_at":"2026-05-18T00:53:50Z","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":"53040bf2051ab704da3881455c8cbf25fbb7045e1fc6c181e99c96fd509bdf88","cross_cats_sorted":["math.AT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-10T14:15:53Z","title_canon_sha256":"a6aab7e0fa59d8ce4e22bc7a157b12e7627f80fb310c5bc67356085f1036747d"},"schema_version":"1.0","source":{"id":"1605.03024","kind":"arxiv","version":2}},"canonical_sha256":"636dfbf51edb603df96edf221f5154d6a5c73fa1ed6031d6ea64f8b82aeb2aff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"636dfbf51edb603df96edf221f5154d6a5c73fa1ed6031d6ea64f8b82aeb2aff","first_computed_at":"2026-05-18T00:53:50.946793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:50.946793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oeW9Wd/GrtvabDDIVuy9reZ0XrnImOefmRYMviEREBG5VJtOi9CDyru2gTjA0rLlPYMVHB+3f8+ZMPInk6Z2BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:50.947126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.03024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b81db685e9e3822ef672ebe066bcc46759e939cd63903ab5d8818f414fa4af7e","sha256:e471407af1a56a6d6fbf0992e53a65d7d2bf8f27b7369d543b27ea2329a88094"],"state_sha256":"7f58b2ac0849bcc953bbdb64a13d2815effe359a97bf2434b4d90fad3ad895bf"}