{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OBF2VUMRPZS2XNYHSD7SYATKO6","short_pith_number":"pith:OBF2VUMR","canonical_record":{"source":{"id":"1205.4137","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-05-18T11:09:02Z","cross_cats_sorted":[],"title_canon_sha256":"69339aee8c6c54b14a4b78ea0d0ca4644c8e5079a9b613b023826b5749021ed8","abstract_canon_sha256":"40d694d4cb5e9d9b6bd4be36568f02113097c6bf0d086babb3004ed906a03be5"},"schema_version":"1.0"},"canonical_sha256":"704baad1917e65abb70790ff2c026a77b194bf3f94afc8af964d2f869e35a931","source":{"kind":"arxiv","id":"1205.4137","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4137","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4137v3","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4137","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"OBF2VUMRPZS2","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OBF2VUMRPZS2XNYH","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OBF2VUMR","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OBF2VUMRPZS2XNYHSD7SYATKO6","target":"record","payload":{"canonical_record":{"source":{"id":"1205.4137","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-05-18T11:09:02Z","cross_cats_sorted":[],"title_canon_sha256":"69339aee8c6c54b14a4b78ea0d0ca4644c8e5079a9b613b023826b5749021ed8","abstract_canon_sha256":"40d694d4cb5e9d9b6bd4be36568f02113097c6bf0d086babb3004ed906a03be5"},"schema_version":"1.0"},"canonical_sha256":"704baad1917e65abb70790ff2c026a77b194bf3f94afc8af964d2f869e35a931","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:06.558095Z","signature_b64":"BNU+VQZrarF5qSSpiPWEMmU12wM3N4socqNkDaI9ZZ3ha+I1X/Tb5jAh5cz6xh8R6QTfb0LSe615Ig2kP5VoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"704baad1917e65abb70790ff2c026a77b194bf3f94afc8af964d2f869e35a931","last_reissued_at":"2026-05-17T23:51:06.557538Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:06.557538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.4137","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yn4n2ao+zob8cdp+RLTXXCXpaXKEoXUGYdM1iKh2Xg4Ow+1iIplNdpKiBpZizuS2KA7So3987KtaGYkYhoYiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:41:39.829172Z"},"content_sha256":"29d089e3a15a78ec8dc3fe8faa353ac90a2c8a052d6eb0e5632a37280a09d3f3","schema_version":"1.0","event_id":"sha256:29d089e3a15a78ec8dc3fe8faa353ac90a2c8a052d6eb0e5632a37280a09d3f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OBF2VUMRPZS2XNYHSD7SYATKO6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quaternionic Similar Curves in 4-dimensional Euclidean Space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehmet \\\"Onder","submitted_at":"2012-05-18T11:09:02Z","abstract_excerpt":"In this paper, we introduce the quaternionic similar curves in 4-dimensional Euclidean space. We show that the families of quaternionic curves with vanishing curvatures form the families of quaternionic similar curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4137","kind":"arxiv","version":3},"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":"2026-05-17T23:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fB+oMDYaKrHB/do1ZSAcbYax7KMR4SNVCxRoDodxwKnu+UTXWNkfOH5M2JARRq6/vqFaqN7bref4+pGK7H08Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T13:41:39.829548Z"},"content_sha256":"d78ec1e895c689c79ac9598f465480fe71debf8d5bea78b4c959fe8fd2b9e0e0","schema_version":"1.0","event_id":"sha256:d78ec1e895c689c79ac9598f465480fe71debf8d5bea78b4c959fe8fd2b9e0e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBF2VUMRPZS2XNYHSD7SYATKO6/bundle.json","state_url":"https://pith.science/pith/OBF2VUMRPZS2XNYHSD7SYATKO6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBF2VUMRPZS2XNYHSD7SYATKO6/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":"2026-06-23T13:41:39Z","links":{"resolver":"https://pith.science/pith/OBF2VUMRPZS2XNYHSD7SYATKO6","bundle":"https://pith.science/pith/OBF2VUMRPZS2XNYHSD7SYATKO6/bundle.json","state":"https://pith.science/pith/OBF2VUMRPZS2XNYHSD7SYATKO6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBF2VUMRPZS2XNYHSD7SYATKO6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OBF2VUMRPZS2XNYHSD7SYATKO6","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":"40d694d4cb5e9d9b6bd4be36568f02113097c6bf0d086babb3004ed906a03be5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-05-18T11:09:02Z","title_canon_sha256":"69339aee8c6c54b14a4b78ea0d0ca4644c8e5079a9b613b023826b5749021ed8"},"schema_version":"1.0","source":{"id":"1205.4137","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4137","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4137v3","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4137","created_at":"2026-05-17T23:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"OBF2VUMRPZS2","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OBF2VUMRPZS2XNYH","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OBF2VUMR","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:d78ec1e895c689c79ac9598f465480fe71debf8d5bea78b4c959fe8fd2b9e0e0","target":"graph","created_at":"2026-05-17T23:51:06Z","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, we introduce the quaternionic similar curves in 4-dimensional Euclidean space. We show that the families of quaternionic curves with vanishing curvatures form the families of quaternionic similar curves.","authors_text":"Mehmet \\\"Onder","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-05-18T11:09:02Z","title":"Quaternionic Similar Curves in 4-dimensional Euclidean Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4137","kind":"arxiv","version":3},"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":"sha256:29d089e3a15a78ec8dc3fe8faa353ac90a2c8a052d6eb0e5632a37280a09d3f3","target":"record","created_at":"2026-05-17T23:51:06Z","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":"40d694d4cb5e9d9b6bd4be36568f02113097c6bf0d086babb3004ed906a03be5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-05-18T11:09:02Z","title_canon_sha256":"69339aee8c6c54b14a4b78ea0d0ca4644c8e5079a9b613b023826b5749021ed8"},"schema_version":"1.0","source":{"id":"1205.4137","kind":"arxiv","version":3}},"canonical_sha256":"704baad1917e65abb70790ff2c026a77b194bf3f94afc8af964d2f869e35a931","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"704baad1917e65abb70790ff2c026a77b194bf3f94afc8af964d2f869e35a931","first_computed_at":"2026-05-17T23:51:06.557538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:06.557538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BNU+VQZrarF5qSSpiPWEMmU12wM3N4socqNkDaI9ZZ3ha+I1X/Tb5jAh5cz6xh8R6QTfb0LSe615Ig2kP5VoAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:06.558095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4137","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29d089e3a15a78ec8dc3fe8faa353ac90a2c8a052d6eb0e5632a37280a09d3f3","sha256:d78ec1e895c689c79ac9598f465480fe71debf8d5bea78b4c959fe8fd2b9e0e0"],"state_sha256":"3b85fee39118d3492ad5cd7b83e5b6fc70cba52764ab01fd45f4d4440c3f6d29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"03H2B1FKBXtEUXF99Wjnyx9vPfPSA7cLOq4kvyWfy6QT1q0NX1Zyxhq3nhhz1RpOpfOHibNVace6r+MdjghrCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T13:41:39.831444Z","bundle_sha256":"0ef7305260556044f7ac417cab3f0141adc08a8ac19dd4f51fde6032a76f7797"}}