{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6ISE5NPDXNSBV2OSFZAJISPMMJ","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":"231e99dc0aba9ae5eb05326fbb94a104e98c05aa03ed9581e3a1c50b49930599","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-14T20:04:17Z","title_canon_sha256":"010db12eb6119f6de02680029e61e3525c073237c544c792c41e2cf4ce13dd6d"},"schema_version":"1.0","source":{"id":"1708.04882","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.04882","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.04882v2","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.04882","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"6ISE5NPDXNSB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6ISE5NPDXNSBV2OS","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6ISE5NPD","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:4bce7ae8dd112c660d9a1c0d57b24255fffe85aeda5a63be2af418c453e00c5e","target":"graph","created_at":"2026-05-18T00:35:54Z","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 purpose of the paper is to study Yamabe solitons on three-dimensional para-Sasakian, paracosymplectic and para-Kenmotsu manifolds. Mainly, we proved that *If the semi-Riemannian metric of a three-dimensional para-Sasakian manifold is a Yamabe soliton, then it is of constant scalar curvature, and the flow vector field V is Killing. In the next step, we proved that either manifold has constant curvature -1 and reduces to an Einstein manifold, or V is an infinitesimal automorphism of the paracontact metric structure on the manifold. *If the semi-Riemannian metric of a three-dimensional paraco","authors_text":"Irem Kupeli Erken","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-14T20:04:17Z","title":"Yamabe Solitons on three-dimensional normal almost paracontact metric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.04882","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":"sha256:0ff97b46ce088df0ef99a3b1cae0e0ef5c6be721cb10a28d39a6920db1eff2de","target":"record","created_at":"2026-05-18T00:35:54Z","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":"231e99dc0aba9ae5eb05326fbb94a104e98c05aa03ed9581e3a1c50b49930599","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-14T20:04:17Z","title_canon_sha256":"010db12eb6119f6de02680029e61e3525c073237c544c792c41e2cf4ce13dd6d"},"schema_version":"1.0","source":{"id":"1708.04882","kind":"arxiv","version":2}},"canonical_sha256":"f2244eb5e3bb641ae9d22e409449ec62550ded7ed16ce89c238bec5b732be9e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f2244eb5e3bb641ae9d22e409449ec62550ded7ed16ce89c238bec5b732be9e4","first_computed_at":"2026-05-18T00:35:54.968313Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:54.968313Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b0MuykoOCjmJQgx4HMktW6FTLef1jOeVxYxLX/p0gTLP8fmGRI7T0+ByH57LjO3tSJQnQ1JwYsSD640lU+MVAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:54.968822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.04882","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ff97b46ce088df0ef99a3b1cae0e0ef5c6be721cb10a28d39a6920db1eff2de","sha256:4bce7ae8dd112c660d9a1c0d57b24255fffe85aeda5a63be2af418c453e00c5e"],"state_sha256":"6160d3a019c385fb56091a9c740073e10e833de11b8a7f3619b60bbdb9b8b81e"}