{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:4NYKGFQWYZQA3WRCBHM6HADGMQ","short_pith_number":"pith:4NYKGFQW","schema_version":"1.0","canonical_sha256":"e370a31616c6600dda2209d9e38066641367e072e89752355ca1c21d1747796f","source":{"kind":"arxiv","id":"1311.6928","version":1},"attestation_state":"computed","paper":{"title":"Characterizations of Slant Ruled Surfaces in the Euclidean 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehmet \\\"Onder, Onur Kaya","submitted_at":"2013-11-27T10:56:24Z","abstract_excerpt":"In this study, we give the relationships between the conical curvatures of ruled surfaces drawn by the unit vectors of the ruling, central normal and central tangent of a regular ruled surface in the Euclidean -space. We obtain the differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give some conditions for the surfaces drawn by the central normal and the central tangent vectors to be slant ruled surfaces."},"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":"1311.6928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-27T10:56:24Z","cross_cats_sorted":[],"title_canon_sha256":"61be74d5066bcfcab8224a4c255897602cdcfe093e9093189ebe1a04d42a06cd","abstract_canon_sha256":"8709fc355177df0d7eef7d129849183c89d0ca946cd89d62507e07e00b98a8e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:04.532406Z","signature_b64":"I4/wV2ZRaYYEz1qCHKDp1SHaAaDE1re/hYDZEdWimnvNsH0v9y1wWs/zVvkRlbhI4RHGYg1rjoieKN5qCJq2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e370a31616c6600dda2209d9e38066641367e072e89752355ca1c21d1747796f","last_reissued_at":"2026-05-18T03:06:04.531895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:04.531895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizations of Slant Ruled Surfaces in the Euclidean 3-space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehmet \\\"Onder, Onur Kaya","submitted_at":"2013-11-27T10:56:24Z","abstract_excerpt":"In this study, we give the relationships between the conical curvatures of ruled surfaces drawn by the unit vectors of the ruling, central normal and central tangent of a regular ruled surface in the Euclidean -space. We obtain the differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give some conditions for the surfaces drawn by the central normal and the central tangent vectors to be slant ruled surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6928","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":"1311.6928","created_at":"2026-05-18T03:06:04.531976+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.6928v1","created_at":"2026-05-18T03:06:04.531976+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6928","created_at":"2026-05-18T03:06:04.531976+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NYKGFQWYZQA","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NYKGFQWYZQA3WRC","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NYKGFQW","created_at":"2026-05-18T12:27:34.582898+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/4NYKGFQWYZQA3WRCBHM6HADGMQ","json":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ.json","graph_json":"https://pith.science/api/pith-number/4NYKGFQWYZQA3WRCBHM6HADGMQ/graph.json","events_json":"https://pith.science/api/pith-number/4NYKGFQWYZQA3WRCBHM6HADGMQ/events.json","paper":"https://pith.science/paper/4NYKGFQW"},"agent_actions":{"view_html":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ","download_json":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ.json","view_paper":"https://pith.science/paper/4NYKGFQW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.6928&json=true","fetch_graph":"https://pith.science/api/pith-number/4NYKGFQWYZQA3WRCBHM6HADGMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/4NYKGFQWYZQA3WRCBHM6HADGMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ/action/storage_attestation","attest_author":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ/action/author_attestation","sign_citation":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ/action/citation_signature","submit_replication":"https://pith.science/pith/4NYKGFQWYZQA3WRCBHM6HADGMQ/action/replication_record"}},"created_at":"2026-05-18T03:06:04.531976+00:00","updated_at":"2026-05-18T03:06:04.531976+00:00"}