{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:PYVVNAS6HGK7BZOM5QFZBGO2KG","short_pith_number":"pith:PYVVNAS6","canonical_record":{"source":{"id":"1308.5217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-23T19:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"41d40f11f87c240400a8140e9f2e29111176ff533bbcab71d822ca12ce976103","abstract_canon_sha256":"0b473454cbd5342d01227312ed7b70da034eb8cb9c37cba9c243e8aae3d2568c"},"schema_version":"1.0"},"canonical_sha256":"7e2b56825e3995f0e5ccec0b9099da51a4a7150571e9d0f35bc9628cc6acc5e8","source":{"kind":"arxiv","id":"1308.5217","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5217","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5217v1","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5217","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"PYVVNAS6HGK7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PYVVNAS6HGK7BZOM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PYVVNAS6","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:PYVVNAS6HGK7BZOM5QFZBGO2KG","target":"record","payload":{"canonical_record":{"source":{"id":"1308.5217","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-23T19:31:24Z","cross_cats_sorted":[],"title_canon_sha256":"41d40f11f87c240400a8140e9f2e29111176ff533bbcab71d822ca12ce976103","abstract_canon_sha256":"0b473454cbd5342d01227312ed7b70da034eb8cb9c37cba9c243e8aae3d2568c"},"schema_version":"1.0"},"canonical_sha256":"7e2b56825e3995f0e5ccec0b9099da51a4a7150571e9d0f35bc9628cc6acc5e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:07.750831Z","signature_b64":"S3+iXjEmkh3tERt4q9Fvz8KQ0BY4Sn3ISHtG3NLTWdUIKCg6AkO70XRO5lnKqpCw0PJg0BnUOnY7HJV+5cX4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e2b56825e3995f0e5ccec0b9099da51a4a7150571e9d0f35bc9628cc6acc5e8","last_reissued_at":"2026-05-18T03:15:07.750101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:07.750101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.5217","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":"2026-05-18T03:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kSeqNx6fVi6JX7kDd65sfa18ViZuDvJ6ND4n4cogEwNcCccVzipgVYWhKwsxkSyOrNmdgDji0qc26hgg4M9VDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:41:23.949018Z"},"content_sha256":"f3d5b0c2fbcff44a10fa65d48418fbc04d8872744e1d8271254b7d0eaedf0835","schema_version":"1.0","event_id":"sha256:f3d5b0c2fbcff44a10fa65d48418fbc04d8872744e1d8271254b7d0eaedf0835"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:PYVVNAS6HGK7BZOM5QFZBGO2KG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curves in R^n with finite total first curvature arising from the solutions of an ODE","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"C. Y. Kim, H. Matsuda, J. H. Park, P. Gilkey, S. Yorozu","submitted_at":"2013-08-23T19:31:24Z","abstract_excerpt":"We use the solution set of a real ordinary differential equation which has order n which is at least 2 to construct a smooth curve C in R^n. We describe when C is a proper embedding of infinite length with finite total first curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5217","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":"2026-05-18T03:15:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fGd9F/swrCOnmaLRcpLM2Ntkpd+pgMTu3oMVZd/HUOXRlfuL796hOB/VY9xwWaYel+ikqvJKQJJTqyUm7eASCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T04:41:23.949729Z"},"content_sha256":"70c125efff222daf1aaa312a604ffd5b8ba6a9d8a4b5d6154eb204d5b1ac4578","schema_version":"1.0","event_id":"sha256:70c125efff222daf1aaa312a604ffd5b8ba6a9d8a4b5d6154eb204d5b1ac4578"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG/bundle.json","state_url":"https://pith.science/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG/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":"2026-05-31T04:41:23Z","links":{"resolver":"https://pith.science/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG","bundle":"https://pith.science/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG/bundle.json","state":"https://pith.science/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PYVVNAS6HGK7BZOM5QFZBGO2KG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:PYVVNAS6HGK7BZOM5QFZBGO2KG","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":"0b473454cbd5342d01227312ed7b70da034eb8cb9c37cba9c243e8aae3d2568c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-23T19:31:24Z","title_canon_sha256":"41d40f11f87c240400a8140e9f2e29111176ff533bbcab71d822ca12ce976103"},"schema_version":"1.0","source":{"id":"1308.5217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.5217","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"arxiv_version","alias_value":"1308.5217v1","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5217","created_at":"2026-05-18T03:15:07Z"},{"alias_kind":"pith_short_12","alias_value":"PYVVNAS6HGK7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"PYVVNAS6HGK7BZOM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"PYVVNAS6","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:70c125efff222daf1aaa312a604ffd5b8ba6a9d8a4b5d6154eb204d5b1ac4578","target":"graph","created_at":"2026-05-18T03:15:07Z","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":"We use the solution set of a real ordinary differential equation which has order n which is at least 2 to construct a smooth curve C in R^n. We describe when C is a proper embedding of infinite length with finite total first curvature.","authors_text":"C. Y. Kim, H. Matsuda, J. H. Park, P. Gilkey, S. Yorozu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-23T19:31:24Z","title":"Curves in R^n with finite total first curvature arising from the solutions of an ODE"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5217","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:f3d5b0c2fbcff44a10fa65d48418fbc04d8872744e1d8271254b7d0eaedf0835","target":"record","created_at":"2026-05-18T03:15:07Z","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":"0b473454cbd5342d01227312ed7b70da034eb8cb9c37cba9c243e8aae3d2568c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-08-23T19:31:24Z","title_canon_sha256":"41d40f11f87c240400a8140e9f2e29111176ff533bbcab71d822ca12ce976103"},"schema_version":"1.0","source":{"id":"1308.5217","kind":"arxiv","version":1}},"canonical_sha256":"7e2b56825e3995f0e5ccec0b9099da51a4a7150571e9d0f35bc9628cc6acc5e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e2b56825e3995f0e5ccec0b9099da51a4a7150571e9d0f35bc9628cc6acc5e8","first_computed_at":"2026-05-18T03:15:07.750101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:07.750101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S3+iXjEmkh3tERt4q9Fvz8KQ0BY4Sn3ISHtG3NLTWdUIKCg6AkO70XRO5lnKqpCw0PJg0BnUOnY7HJV+5cX4AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:07.750831Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.5217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3d5b0c2fbcff44a10fa65d48418fbc04d8872744e1d8271254b7d0eaedf0835","sha256:70c125efff222daf1aaa312a604ffd5b8ba6a9d8a4b5d6154eb204d5b1ac4578"],"state_sha256":"267182530e5de081a80ee09b7809921f30bf8460405c2586a0812941a53a35e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpeKlSRiKX171x+Yi2pWyHtvsSWxTbag5dZv5ZWJCxTRElstOmdDGxMmh+0t1oeg/vLIm+MvIfdooUdBHLVrAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T04:41:23.953252Z","bundle_sha256":"39f31f8d2027591c6733cde36628a069d5a164551fdfd91d7e2366ed1f1b9031"}}