{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QJDHUL65FWS7W3W4YDHI76J5ZN","short_pith_number":"pith:QJDHUL65","canonical_record":{"source":{"id":"1311.0625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T09:54:05Z","cross_cats_sorted":[],"title_canon_sha256":"6ab14e7beb8bce224c38a283b17c289d26d2f7436ee10efc173e7d6ce97251ba","abstract_canon_sha256":"a234b8212b9506085aeb38b9741026c3a63b0393eb88b14a20d7287659b955af"},"schema_version":"1.0"},"canonical_sha256":"82467a2fdd2da5fb6edcc0ce8ff93dcb42a918bf451ebb521af2ca02fd8e8a20","source":{"kind":"arxiv","id":"1311.0625","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0625","created_at":"2026-05-18T01:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0625v1","created_at":"2026-05-18T01:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0625","created_at":"2026-05-18T01:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"QJDHUL65FWS7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QJDHUL65FWS7W3W4","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QJDHUL65","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QJDHUL65FWS7W3W4YDHI76J5ZN","target":"record","payload":{"canonical_record":{"source":{"id":"1311.0625","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T09:54:05Z","cross_cats_sorted":[],"title_canon_sha256":"6ab14e7beb8bce224c38a283b17c289d26d2f7436ee10efc173e7d6ce97251ba","abstract_canon_sha256":"a234b8212b9506085aeb38b9741026c3a63b0393eb88b14a20d7287659b955af"},"schema_version":"1.0"},"canonical_sha256":"82467a2fdd2da5fb6edcc0ce8ff93dcb42a918bf451ebb521af2ca02fd8e8a20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:05.913553Z","signature_b64":"YLr5emOr8p/IuvZy606l17NMVheITvOVY3dd53ZYyitz8EqBDuf1rJShjY2LoTf+PgXo+97fJ4AxnyrToj8aCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82467a2fdd2da5fb6edcc0ce8ff93dcb42a918bf451ebb521af2ca02fd8e8a20","last_reissued_at":"2026-05-18T01:37:05.912930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:05.912930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.0625","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UoXcxq9IaY4O/ifl0IyrBwobn+1qH8a7QY4IuQyRpfuS136tUisvttZafhCxKteDJUMHHQpwrKnzA7LPY7+KAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:04:03.602182Z"},"content_sha256":"70843159a122ee4a069e09e9ac4b394aa69a6674369944fca28afb907b9bf703","schema_version":"1.0","event_id":"sha256:70843159a122ee4a069e09e9ac4b394aa69a6674369944fca28afb907b9bf703"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QJDHUL65FWS7W3W4YDHI76J5ZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Darboux Slant Ruled Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehmet \\\"Onder, Onur Kaya","submitted_at":"2013-11-04T09:54:05Z","abstract_excerpt":"In this study, we introduce Darboux slant ruled surfaces in the Euclidean 3-space which is defined by the property that the Darboux vector of orthonormel frame of ruled surface makes a constant angle with a fixed, non-zero direction. We obtain the characterizations of Darboux slant ruled surfaces regarding the conical curvature kappa and give the relations between Darboux slant ruled surfaces and some other slant ruled surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0625","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:37:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NMaZ2+cXmm+Gou4nxl0KkCRi8aZj0wa2ihF1xAajy06T6eNMkf/xduWaQNBvjGYJIFSC6YszO6NT2sOSQbpJCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:04:03.602541Z"},"content_sha256":"67719f138b64464d1ab46b39f65c324aa93a794131c8c4846115eb35930d3799","schema_version":"1.0","event_id":"sha256:67719f138b64464d1ab46b39f65c324aa93a794131c8c4846115eb35930d3799"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJDHUL65FWS7W3W4YDHI76J5ZN/bundle.json","state_url":"https://pith.science/pith/QJDHUL65FWS7W3W4YDHI76J5ZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJDHUL65FWS7W3W4YDHI76J5ZN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T13:04:03Z","links":{"resolver":"https://pith.science/pith/QJDHUL65FWS7W3W4YDHI76J5ZN","bundle":"https://pith.science/pith/QJDHUL65FWS7W3W4YDHI76J5ZN/bundle.json","state":"https://pith.science/pith/QJDHUL65FWS7W3W4YDHI76J5ZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJDHUL65FWS7W3W4YDHI76J5ZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QJDHUL65FWS7W3W4YDHI76J5ZN","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":"a234b8212b9506085aeb38b9741026c3a63b0393eb88b14a20d7287659b955af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T09:54:05Z","title_canon_sha256":"6ab14e7beb8bce224c38a283b17c289d26d2f7436ee10efc173e7d6ce97251ba"},"schema_version":"1.0","source":{"id":"1311.0625","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0625","created_at":"2026-05-18T01:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0625v1","created_at":"2026-05-18T01:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0625","created_at":"2026-05-18T01:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"QJDHUL65FWS7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QJDHUL65FWS7W3W4","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QJDHUL65","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:67719f138b64464d1ab46b39f65c324aa93a794131c8c4846115eb35930d3799","target":"graph","created_at":"2026-05-18T01:37:05Z","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"},"paper":{"abstract_excerpt":"In this study, we introduce Darboux slant ruled surfaces in the Euclidean 3-space which is defined by the property that the Darboux vector of orthonormel frame of ruled surface makes a constant angle with a fixed, non-zero direction. We obtain the characterizations of Darboux slant ruled surfaces regarding the conical curvature kappa and give the relations between Darboux slant ruled surfaces and some other slant ruled surfaces.","authors_text":"Mehmet \\\"Onder, Onur Kaya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T09:54:05Z","title":"Darboux Slant Ruled Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0625","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":"sha256:70843159a122ee4a069e09e9ac4b394aa69a6674369944fca28afb907b9bf703","target":"record","created_at":"2026-05-18T01:37:05Z","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":"a234b8212b9506085aeb38b9741026c3a63b0393eb88b14a20d7287659b955af","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-04T09:54:05Z","title_canon_sha256":"6ab14e7beb8bce224c38a283b17c289d26d2f7436ee10efc173e7d6ce97251ba"},"schema_version":"1.0","source":{"id":"1311.0625","kind":"arxiv","version":1}},"canonical_sha256":"82467a2fdd2da5fb6edcc0ce8ff93dcb42a918bf451ebb521af2ca02fd8e8a20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82467a2fdd2da5fb6edcc0ce8ff93dcb42a918bf451ebb521af2ca02fd8e8a20","first_computed_at":"2026-05-18T01:37:05.912930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:05.912930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YLr5emOr8p/IuvZy606l17NMVheITvOVY3dd53ZYyitz8EqBDuf1rJShjY2LoTf+PgXo+97fJ4AxnyrToj8aCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:05.913553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0625","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70843159a122ee4a069e09e9ac4b394aa69a6674369944fca28afb907b9bf703","sha256:67719f138b64464d1ab46b39f65c324aa93a794131c8c4846115eb35930d3799"],"state_sha256":"b643761ffdbb9c6e1a3ddb3b0c79b075d20dc120985b4f48bc3299c7c63a61e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nc8weeeYP3im6v5Ee/3gvJUac/da6sO+lGMkolN76RJoiqBasnP+WTiuypiD6jFvAlaa0WQlOhzaewbFFWNaBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:04:03.604366Z","bundle_sha256":"15980752867a78e3622009390594d97feed8f62d043abaa043c8719bbfcd9ca5"}}