{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:BFJFUJRL5GYWE5RTA3XPRMW6WZ","short_pith_number":"pith:BFJFUJRL","schema_version":"1.0","canonical_sha256":"09525a262be9b162763306eef8b2deb6550d254640ac083e1dc09cddbc6ea62d","source":{"kind":"arxiv","id":"1801.01727","version":1},"attestation_state":"computed","paper":{"title":"Para-Sasakian manifolds and *-Ricci solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"D. G. Prakasha, Pundikala Veeresha","submitted_at":"2018-01-05T11:56:54Z","abstract_excerpt":"In this paper we study a special type of metric called *-Ricci soliton on para-Sasakian manifold. We prove that if the para-Sasakian metric is a *-Ricci soliton on a manifold M, then M is either D-homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1801.01727","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-01-05T11:56:54Z","cross_cats_sorted":[],"title_canon_sha256":"11830d0afff54d589d7a1c4759739e89511ddd56eb5288802c658307316b9198","abstract_canon_sha256":"a705f856b8173d75c9e0bd9c5ab37b1a6ba1d567edf9a239e31951b2283b2107"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:41.199103Z","signature_b64":"mBSLdLmJp1yGBWjP/RWW+yKxjdI9qomlSMrzVyR7Urs0Zq3yvXz55c6JbDenqONMh/DBtNlFu35kaWTFRogdDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09525a262be9b162763306eef8b2deb6550d254640ac083e1dc09cddbc6ea62d","last_reissued_at":"2026-05-18T00:26:41.198379Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:41.198379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Para-Sasakian manifolds and *-Ricci solitons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"D. G. Prakasha, Pundikala Veeresha","submitted_at":"2018-01-05T11:56:54Z","abstract_excerpt":"In this paper we study a special type of metric called *-Ricci soliton on para-Sasakian manifold. We prove that if the para-Sasakian metric is a *-Ricci soliton on a manifold M, then M is either D-homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01727","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1801.01727","created_at":"2026-05-18T00:26:41.198496+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.01727v1","created_at":"2026-05-18T00:26:41.198496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01727","created_at":"2026-05-18T00:26:41.198496+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFJFUJRL5GYW","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFJFUJRL5GYWE5RT","created_at":"2026-05-18T12:32:16.446611+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFJFUJRL","created_at":"2026-05-18T12:32:16.446611+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ","json":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ.json","graph_json":"https://pith.science/api/pith-number/BFJFUJRL5GYWE5RTA3XPRMW6WZ/graph.json","events_json":"https://pith.science/api/pith-number/BFJFUJRL5GYWE5RTA3XPRMW6WZ/events.json","paper":"https://pith.science/paper/BFJFUJRL"},"agent_actions":{"view_html":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ","download_json":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ.json","view_paper":"https://pith.science/paper/BFJFUJRL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.01727&json=true","fetch_graph":"https://pith.science/api/pith-number/BFJFUJRL5GYWE5RTA3XPRMW6WZ/graph.json","fetch_events":"https://pith.science/api/pith-number/BFJFUJRL5GYWE5RTA3XPRMW6WZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ/action/storage_attestation","attest_author":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ/action/author_attestation","sign_citation":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ/action/citation_signature","submit_replication":"https://pith.science/pith/BFJFUJRL5GYWE5RTA3XPRMW6WZ/action/replication_record"}},"created_at":"2026-05-18T00:26:41.198496+00:00","updated_at":"2026-05-18T00:26:41.198496+00:00"}