{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IUXK3V5AC5DU44BJXSSANKP7DR","short_pith_number":"pith:IUXK3V5A","schema_version":"1.0","canonical_sha256":"452eadd7a017474e7029bca406a9ff1c7530ec88c35ea37d5bded427b08a282a","source":{"kind":"arxiv","id":"1605.00460","version":1},"attestation_state":"computed","paper":{"title":"On Generalized Spherical Surfaces in Euclidean Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bengu Bayram, Betul Bulca, Kadri Arslan","submitted_at":"2016-05-02T12:38:53Z","abstract_excerpt":"In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean $(n+1)-$space $\\mathbb{E}^{n+1}$. Further, we introduce some kind of generalized spherical surfaces in Euclidean spaces $\\mathbb{E}^{3}$ and $% \\mathbb{E}^{4}$ respectively. We have shown that the generalized spherical surfaces of first kind in $\\mathbb{E}^{4}$ are known as rotational surfaces, and the second kind generalized spherical surfaces are known as meridian surfaces in $\\mathbb{E}^{4}$. We have also calculated the Gaussian, normal and"},"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":"1605.00460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-05-02T12:38:53Z","cross_cats_sorted":[],"title_canon_sha256":"305d712c5277b9c02a1be53dd43d994a548a2c6c8adec36974e60e6b1a2345cf","abstract_canon_sha256":"dd9514942c501209cdd61448b300ee6389bcf6ba5687d2134de39a9d8ba0d75f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:55.724104Z","signature_b64":"lsWLThkeSgyEuWJFsLDzPY6ZsOTEzI1Mul75PHy1mde/3tssGeoji6lmCuTgQgQMnhajfkAI3yCW9g2IkExUBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"452eadd7a017474e7029bca406a9ff1c7530ec88c35ea37d5bded427b08a282a","last_reissued_at":"2026-05-18T01:15:55.723484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:55.723484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Generalized Spherical Surfaces in Euclidean Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bengu Bayram, Betul Bulca, Kadri Arslan","submitted_at":"2016-05-02T12:38:53Z","abstract_excerpt":"In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized spherical curves in Euclidean $(n+1)-$space $\\mathbb{E}^{n+1}$. Further, we introduce some kind of generalized spherical surfaces in Euclidean spaces $\\mathbb{E}^{3}$ and $% \\mathbb{E}^{4}$ respectively. We have shown that the generalized spherical surfaces of first kind in $\\mathbb{E}^{4}$ are known as rotational surfaces, and the second kind generalized spherical surfaces are known as meridian surfaces in $\\mathbb{E}^{4}$. We have also calculated the Gaussian, normal and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00460","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":"1605.00460","created_at":"2026-05-18T01:15:55.723594+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.00460v1","created_at":"2026-05-18T01:15:55.723594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00460","created_at":"2026-05-18T01:15:55.723594+00:00"},{"alias_kind":"pith_short_12","alias_value":"IUXK3V5AC5DU","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IUXK3V5AC5DU44BJ","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IUXK3V5A","created_at":"2026-05-18T12:30:22.444734+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/IUXK3V5AC5DU44BJXSSANKP7DR","json":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR.json","graph_json":"https://pith.science/api/pith-number/IUXK3V5AC5DU44BJXSSANKP7DR/graph.json","events_json":"https://pith.science/api/pith-number/IUXK3V5AC5DU44BJXSSANKP7DR/events.json","paper":"https://pith.science/paper/IUXK3V5A"},"agent_actions":{"view_html":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR","download_json":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR.json","view_paper":"https://pith.science/paper/IUXK3V5A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.00460&json=true","fetch_graph":"https://pith.science/api/pith-number/IUXK3V5AC5DU44BJXSSANKP7DR/graph.json","fetch_events":"https://pith.science/api/pith-number/IUXK3V5AC5DU44BJXSSANKP7DR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR/action/storage_attestation","attest_author":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR/action/author_attestation","sign_citation":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR/action/citation_signature","submit_replication":"https://pith.science/pith/IUXK3V5AC5DU44BJXSSANKP7DR/action/replication_record"}},"created_at":"2026-05-18T01:15:55.723594+00:00","updated_at":"2026-05-18T01:15:55.723594+00:00"}