{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AGPT6T47HZTE35ZN7PFNW6UBRZ","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":"8bc5eb4fd0650767f7c0f3cb42c598f26f24a7834959aeffc3d2d5ef22eb71c3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2017-07-12T09:55:37Z","title_canon_sha256":"ed2c589c5f9322b1f0eaec2a5cd4d17bd9a08ab9e8e51454fead0465a929ff0a"},"schema_version":"1.0","source":{"id":"1707.03618","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03618","created_at":"2026-05-18T00:40:25Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03618v1","created_at":"2026-05-18T00:40:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03618","created_at":"2026-05-18T00:40:25Z"},{"alias_kind":"pith_short_12","alias_value":"AGPT6T47HZTE","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AGPT6T47HZTE35ZN","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AGPT6T47","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:81abd40376a1d2cacacf05b8b9ab3e279624a54b815da625c6137f5f03c30e9f","target":"graph","created_at":"2026-05-18T00:40:25Z","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 object of the present paper is to study some types of Ricci pseudosymmetric $(LCS)_n$-manifolds whose metric is Ricci soliton. We found the conditions when Ricci soliton on concircular Ricci pseudosymmetric, projective Ricci pseudosymmetric, $W_{3}$-Ricci pseudosymmetric, conharmonic Ricci pseudosymmetric, conformal Ricci pseudosymmetric $(LCS)_n$-manifolds to be shrinking, steady and expanding. We also construct an example of concircular Ricci pseudosymmetric $(LCS)_3$-manifold whose metric is Ricci soliton.","authors_text":"Debabrata Chakraborty, Richard S. Lemence, Shyamal Kumar Hui","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2017-07-12T09:55:37Z","title":"Ricci solitons on Ricci pseudosymmetric $(LCS)_n$-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03618","kind":"arxiv","version":1},"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":"sha256:0caf67a360b3ed50d20edfbcd3eba9d114f651f8cb761ea69cfbba83c0da1526","target":"record","created_at":"2026-05-18T00:40:25Z","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":"8bc5eb4fd0650767f7c0f3cb42c598f26f24a7834959aeffc3d2d5ef22eb71c3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2017-07-12T09:55:37Z","title_canon_sha256":"ed2c589c5f9322b1f0eaec2a5cd4d17bd9a08ab9e8e51454fead0465a929ff0a"},"schema_version":"1.0","source":{"id":"1707.03618","kind":"arxiv","version":1}},"canonical_sha256":"019f3f4f9f3e664df72dfbcadb7a818e50150d862e912aa0027b9362b8f47640","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"019f3f4f9f3e664df72dfbcadb7a818e50150d862e912aa0027b9362b8f47640","first_computed_at":"2026-05-18T00:40:25.485059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:25.485059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ilCGaw65ga9WwlRmoVOD1poHou/3jOlSFrm5S7QZ/w6Tf3AY5XlisEtzDk0osytMn5Fl0rlG6ifqjYdsKTPgBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:25.485692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03618","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0caf67a360b3ed50d20edfbcd3eba9d114f651f8cb761ea69cfbba83c0da1526","sha256:81abd40376a1d2cacacf05b8b9ab3e279624a54b815da625c6137f5f03c30e9f"],"state_sha256":"7a88307a678ef14918fe903dfdc7a15e3cfbc142226025e2871637ea413533ad"}