{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:UTEYE2ONYF3LJFGIRYHDST74LN","short_pith_number":"pith:UTEYE2ON","schema_version":"1.0","canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","source":{"kind":"arxiv","id":"1006.0076","version":2},"attestation_state":"computed","paper":{"title":"Semi-invariant submersions from almost Hermitian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bayram Sahin","submitted_at":"2010-06-01T08:09:33Z","abstract_excerpt":"We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and find necessary-sufficient conditions for total manifold to be locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total m"},"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":"1006.0076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-06-01T08:09:33Z","cross_cats_sorted":[],"title_canon_sha256":"e94b00270f6e25443b2405afada0056ef0b95c11b51f64d90835f9edab42af19","abstract_canon_sha256":"d8d67ea4c13dcc9c42741b07eddb99c8fb5ccae5942794dc77e3ee0021124b09"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:22.053846Z","signature_b64":"hKmrsD8DBjJvP8gBotxAxsH6UfVDLYHE4UvPZGqit82NXUh3qfqpn/+/slYv+hQ1XUMZ/I6DFScHvjkAe+esDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4c98269cdc176b494c88e0e394ffc5b7cdf04e4b673b98a7b2ce37a8be8d666","last_reissued_at":"2026-05-18T04:37:22.053459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:22.053459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semi-invariant submersions from almost Hermitian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bayram Sahin","submitted_at":"2010-06-01T08:09:33Z","abstract_excerpt":"We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and find necessary-sufficient conditions for total manifold to be locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0076","kind":"arxiv","version":2},"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":"1006.0076","created_at":"2026-05-18T04:37:22.053511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.0076v2","created_at":"2026-05-18T04:37:22.053511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0076","created_at":"2026-05-18T04:37:22.053511+00:00"},{"alias_kind":"pith_short_12","alias_value":"UTEYE2ONYF3L","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"UTEYE2ONYF3LJFGI","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"UTEYE2ON","created_at":"2026-05-18T12:26:15.391820+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/UTEYE2ONYF3LJFGIRYHDST74LN","json":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN.json","graph_json":"https://pith.science/api/pith-number/UTEYE2ONYF3LJFGIRYHDST74LN/graph.json","events_json":"https://pith.science/api/pith-number/UTEYE2ONYF3LJFGIRYHDST74LN/events.json","paper":"https://pith.science/paper/UTEYE2ON"},"agent_actions":{"view_html":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN","download_json":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN.json","view_paper":"https://pith.science/paper/UTEYE2ON","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.0076&json=true","fetch_graph":"https://pith.science/api/pith-number/UTEYE2ONYF3LJFGIRYHDST74LN/graph.json","fetch_events":"https://pith.science/api/pith-number/UTEYE2ONYF3LJFGIRYHDST74LN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/action/storage_attestation","attest_author":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/action/author_attestation","sign_citation":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/action/citation_signature","submit_replication":"https://pith.science/pith/UTEYE2ONYF3LJFGIRYHDST74LN/action/replication_record"}},"created_at":"2026-05-18T04:37:22.053511+00:00","updated_at":"2026-05-18T04:37:22.053511+00:00"}