{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VYIW654O7INP5NAZKHVZ6UTBFR","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":"44521189f8cf54e54cdd10dae1941f92212b45fab9579b6b9e4455c600e5b3ac","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-11-22T14:58:56Z","title_canon_sha256":"ffb5a8c43731919138663bf6e9474543f5ef3662561b86add921b210352ddd49"},"schema_version":"1.0","source":{"id":"2411.14988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.14988","created_at":"2026-07-05T09:39:14Z"},{"alias_kind":"arxiv_version","alias_value":"2411.14988v1","created_at":"2026-07-05T09:39:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14988","created_at":"2026-07-05T09:39:14Z"},{"alias_kind":"pith_short_12","alias_value":"VYIW654O7INP","created_at":"2026-07-05T09:39:14Z"},{"alias_kind":"pith_short_16","alias_value":"VYIW654O7INP5NAZ","created_at":"2026-07-05T09:39:14Z"},{"alias_kind":"pith_short_8","alias_value":"VYIW654O","created_at":"2026-07-05T09:39:14Z"}],"graph_snapshots":[{"event_id":"sha256:c277b8a79b2b38af2acb28578697786ca591822bbb6711f3c4f928060b0772d3","target":"graph","created_at":"2026-07-05T09:39:14Z","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/2411.14988/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the present paper we study $\\eta$-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider $\\eta$-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Beside these, we study $\\phi$-Ricci symmetric $\\eta$-Ricci soliton on Kenmotsu 3-manifolds. Also Kenmotsu 3-manifolds satisfying the curvature condition $R.R=Q(S,R)$ is considered. Finally, an example is constructed to prove the existence of a proper $\\eta$-Ricci soliton on a Kenmotsu 3-manifold.","authors_text":"K. De, U.C. De","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-11-22T14:58:56Z","title":"$\\eta$-Ricci Solitons on Kenmotsu 3-Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14988","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":"sha256:5c1e1a5f28f3d2e14f43e4ac91f4b6a0dcf5dc17a512bdd83d1bf9ef8fc4ccc4","target":"record","created_at":"2026-07-05T09:39:14Z","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":"44521189f8cf54e54cdd10dae1941f92212b45fab9579b6b9e4455c600e5b3ac","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-11-22T14:58:56Z","title_canon_sha256":"ffb5a8c43731919138663bf6e9474543f5ef3662561b86add921b210352ddd49"},"schema_version":"1.0","source":{"id":"2411.14988","kind":"arxiv","version":1}},"canonical_sha256":"ae116f778efa1afeb41951eb9f52612c409186a3245bf100f1c2dd9a121331f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae116f778efa1afeb41951eb9f52612c409186a3245bf100f1c2dd9a121331f0","first_computed_at":"2026-07-05T09:39:14.596343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:39:14.596343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ju7C+PyI2y3V4g3/gVRkdkxSugyVamehzEwg21fKAjJhVaGQlQFLfthUgsXUid4hJ1yWeJv7rrGP79zX/VSgBA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:39:14.596752Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.14988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c1e1a5f28f3d2e14f43e4ac91f4b6a0dcf5dc17a512bdd83d1bf9ef8fc4ccc4","sha256:c277b8a79b2b38af2acb28578697786ca591822bbb6711f3c4f928060b0772d3"],"state_sha256":"3980a877aed79854f3627a939af1b09a1f4bfb18ad8c18fa35cbcc319593153f"}