{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BO5JBE2DMDQL6QQK332PD2SBN6","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":"595fcd19819658a97d3846c4baac254b405bddbc68d51c147bc802cd8de26364","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-06-10T14:48:26Z","title_canon_sha256":"496347170c8319f33e314b7ff994a7f96288032045b95daac48ace9e1de47715"},"schema_version":"1.0","source":{"id":"2206.05150","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.05150","created_at":"2026-07-05T05:11:40Z"},{"alias_kind":"arxiv_version","alias_value":"2206.05150v2","created_at":"2026-07-05T05:11:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.05150","created_at":"2026-07-05T05:11:40Z"},{"alias_kind":"pith_short_12","alias_value":"BO5JBE2DMDQL","created_at":"2026-07-05T05:11:40Z"},{"alias_kind":"pith_short_16","alias_value":"BO5JBE2DMDQL6QQK","created_at":"2026-07-05T05:11:40Z"},{"alias_kind":"pith_short_8","alias_value":"BO5JBE2D","created_at":"2026-07-05T05:11:40Z"}],"graph_snapshots":[{"event_id":"sha256:0e37033d2da18a0cce819a173ad25794c5545c1d1e1cd6bf9bec9ea89b3024d3","target":"graph","created_at":"2026-07-05T05:11:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.05150/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate curvature properties of 3-$(\\alpha,\\delta)$-Sasaki manifolds, a special class of almost 3-contact metric manifolds generalizing 3-Sasaki manifolds (corresponding to $\\alpha = \\delta = 1$) that admit a canonical metric connection with skew torsion and define a Riemannian submersion over a quaternionic K\\\"ahler manifold with vanishing, positive or negative scalar curvature, according to $\\delta = 0$, $\\alpha\\delta > 0$ or $\\alpha\\delta < 0$. We shall investigate both the Riemannian curvature and the curvature of the canonical connection, with particular focus on their curvature op","authors_text":"Giulia Dileo, Ilka Agricola, Leander Stecker","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-06-10T14:48:26Z","title":"Curvature Properties of 3-$(\\alpha,\\delta)$-Sasaki Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.05150","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":"sha256:7aebf4f4f76e7d0762644734cbfb3ed1f6c2c5ff328d5d47f39200f8eabf12d3","target":"record","created_at":"2026-07-05T05:11:40Z","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":"595fcd19819658a97d3846c4baac254b405bddbc68d51c147bc802cd8de26364","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2022-06-10T14:48:26Z","title_canon_sha256":"496347170c8319f33e314b7ff994a7f96288032045b95daac48ace9e1de47715"},"schema_version":"1.0","source":{"id":"2206.05150","kind":"arxiv","version":2}},"canonical_sha256":"0bba90934360e0bf420adef4f1ea416fb0d07e06aea433c4aeeed08b125d9556","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bba90934360e0bf420adef4f1ea416fb0d07e06aea433c4aeeed08b125d9556","first_computed_at":"2026-07-05T05:11:40.020914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:11:40.020914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hyNRpDWppaFaoHSSgrlTfNCX4rR5VtvHvWp4HuXY6WVjqDjD2KaRFqs1sCAVtzafgUC5TYQJ43LzI0w/9hETCg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:11:40.021812Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.05150","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7aebf4f4f76e7d0762644734cbfb3ed1f6c2c5ff328d5d47f39200f8eabf12d3","sha256:0e37033d2da18a0cce819a173ad25794c5545c1d1e1cd6bf9bec9ea89b3024d3"],"state_sha256":"e4dc7e1535ffaef879e36b36983f49a15005f95cfbc84d7fd345c809ae667168"}