{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IEBTASXZCZZL62VULKD6CKLFEG","short_pith_number":"pith:IEBTASXZ","canonical_record":{"source":{"id":"1203.4436","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T13:51:45Z","cross_cats_sorted":[],"title_canon_sha256":"b41c6ad25847836acb5566efa985b952ebdcc0301dcb3e4a7d20bba061f91281","abstract_canon_sha256":"965b75c41ef6b8dedd59da692b4504b1deb33cd82494af7d049514d0faecc013"},"schema_version":"1.0"},"canonical_sha256":"4103304af91672bf6ab45a87e1296521aee3e3eb3dd52d9bf090a1e28c1da374","source":{"kind":"arxiv","id":"1203.4436","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4436","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4436v2","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4436","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"pith_short_12","alias_value":"IEBTASXZCZZL","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IEBTASXZCZZL62VU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IEBTASXZ","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IEBTASXZCZZL62VULKD6CKLFEG","target":"record","payload":{"canonical_record":{"source":{"id":"1203.4436","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T13:51:45Z","cross_cats_sorted":[],"title_canon_sha256":"b41c6ad25847836acb5566efa985b952ebdcc0301dcb3e4a7d20bba061f91281","abstract_canon_sha256":"965b75c41ef6b8dedd59da692b4504b1deb33cd82494af7d049514d0faecc013"},"schema_version":"1.0"},"canonical_sha256":"4103304af91672bf6ab45a87e1296521aee3e3eb3dd52d9bf090a1e28c1da374","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:15.362304Z","signature_b64":"u8lRcHQJ4wPUnKWZ+y4DjlYKatpkMl3FdMyBwRxpxuQBvr2HiTSc6VgomrRt2TZco7j7dAfjzG1qiSNOEk5IBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4103304af91672bf6ab45a87e1296521aee3e3eb3dd52d9bf090a1e28c1da374","last_reissued_at":"2026-05-18T03:59:15.361717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:15.361717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.4436","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fcuEC0iL+pyN6+s/IUF5rO5ysCSnSNyGAS1OFD5+NxRXUcRNYPqC74K1QOE2nnRol43mjCSLhI/cZPhOt40JCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:45:00.761397Z"},"content_sha256":"36f10465b6772670ddbef00f52578dcf6a4df1c35c1686ace0aa73686b17373b","schema_version":"1.0","event_id":"sha256:36f10465b6772670ddbef00f52578dcf6a4df1c35c1686ace0aa73686b17373b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IEBTASXZCZZL62VULKD6CKLFEG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The detailed proof of theorem which characterizes a slant helix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fatih Dogan","submitted_at":"2012-03-20T13:51:45Z","abstract_excerpt":"In this paper, firstly the axis of a slant helix is found with a method. Secondly, the theorem which characterizes a unit speed curve to be a slant helix is proved in detail. The importance of this theorem is stemed from that it has led to many papers regarding slant helices in the differential geometry literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4436","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nTQV68kkHBjAmrb9BDrRciSGmYEmadjK0+xhzuNTs049NgGBa9QorDvqnGhxtUb50Ce9tKiMZiJPsc6kphd8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:45:00.762041Z"},"content_sha256":"1568369fc58186d7e73758f356ef9958eb977ec18ff14e232dfe033bf6c0039a","schema_version":"1.0","event_id":"sha256:1568369fc58186d7e73758f356ef9958eb977ec18ff14e232dfe033bf6c0039a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEBTASXZCZZL62VULKD6CKLFEG/bundle.json","state_url":"https://pith.science/pith/IEBTASXZCZZL62VULKD6CKLFEG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEBTASXZCZZL62VULKD6CKLFEG/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":"2026-05-25T20:45:00Z","links":{"resolver":"https://pith.science/pith/IEBTASXZCZZL62VULKD6CKLFEG","bundle":"https://pith.science/pith/IEBTASXZCZZL62VULKD6CKLFEG/bundle.json","state":"https://pith.science/pith/IEBTASXZCZZL62VULKD6CKLFEG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEBTASXZCZZL62VULKD6CKLFEG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IEBTASXZCZZL62VULKD6CKLFEG","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":"965b75c41ef6b8dedd59da692b4504b1deb33cd82494af7d049514d0faecc013","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T13:51:45Z","title_canon_sha256":"b41c6ad25847836acb5566efa985b952ebdcc0301dcb3e4a7d20bba061f91281"},"schema_version":"1.0","source":{"id":"1203.4436","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4436","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4436v2","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4436","created_at":"2026-05-18T03:59:15Z"},{"alias_kind":"pith_short_12","alias_value":"IEBTASXZCZZL","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IEBTASXZCZZL62VU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IEBTASXZ","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:1568369fc58186d7e73758f356ef9958eb977ec18ff14e232dfe033bf6c0039a","target":"graph","created_at":"2026-05-18T03:59:15Z","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 paper, firstly the axis of a slant helix is found with a method. Secondly, the theorem which characterizes a unit speed curve to be a slant helix is proved in detail. The importance of this theorem is stemed from that it has led to many papers regarding slant helices in the differential geometry literature.","authors_text":"Fatih Dogan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T13:51:45Z","title":"The detailed proof of theorem which characterizes a slant helix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4436","kind":"arxiv","version":2},"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":"sha256:36f10465b6772670ddbef00f52578dcf6a4df1c35c1686ace0aa73686b17373b","target":"record","created_at":"2026-05-18T03:59:15Z","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":"965b75c41ef6b8dedd59da692b4504b1deb33cd82494af7d049514d0faecc013","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-03-20T13:51:45Z","title_canon_sha256":"b41c6ad25847836acb5566efa985b952ebdcc0301dcb3e4a7d20bba061f91281"},"schema_version":"1.0","source":{"id":"1203.4436","kind":"arxiv","version":2}},"canonical_sha256":"4103304af91672bf6ab45a87e1296521aee3e3eb3dd52d9bf090a1e28c1da374","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4103304af91672bf6ab45a87e1296521aee3e3eb3dd52d9bf090a1e28c1da374","first_computed_at":"2026-05-18T03:59:15.361717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:15.361717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u8lRcHQJ4wPUnKWZ+y4DjlYKatpkMl3FdMyBwRxpxuQBvr2HiTSc6VgomrRt2TZco7j7dAfjzG1qiSNOEk5IBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:15.362304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4436","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36f10465b6772670ddbef00f52578dcf6a4df1c35c1686ace0aa73686b17373b","sha256:1568369fc58186d7e73758f356ef9958eb977ec18ff14e232dfe033bf6c0039a"],"state_sha256":"a023704da452de456867cb16b8fc0503df0f08c512729851173ed99f26f94b15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3fpG2jrZ+2QCb2njZ1Sspl6IB8rdEpRqQcgpaWsK7pY64jNLy41C4fkp2G8wNAYb5xusbjICX1yn61+zU3cjDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:45:00.764886Z","bundle_sha256":"ae545544e546e130987c272dbb47d3f1608f201c4f8b7ed95cd4f3e1fc49c63c"}}