{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:F7YCKM4RIM7OF7DUTL3KPFMWSK","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":"3ac4ed80c3b09050934f1fbbe17f1aa47b14f4a6af41b5ab143bc531ad6e97fd","cross_cats_sorted":["cs.CV","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-01-22T19:43:37Z","title_canon_sha256":"ad88d4ecdae46a7c9e359c8e664839d73c08f46ce052d73a09a4afd720a2e470"},"schema_version":"1.0","source":{"id":"1901.07593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07593","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07593v1","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07593","created_at":"2026-05-17T23:55:42Z"},{"alias_kind":"pith_short_12","alias_value":"F7YCKM4RIM7O","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7YCKM4RIM7OF7DU","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7YCKM4R","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:cfbb6d9b7f301489c94b7e61f62513b9db38bc3d0f11a2c50d5c2333839c8f82","target":"graph","created_at":"2026-05-17T23:55:42Z","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":"The classification of shapes is of great interest in diverse areas ranging from medical imaging to computer vision and beyond. While many statistical frameworks have been developed for the classification problem, most are strongly tied to early formulations of the problem - with an object to be classified described as a vector in a relatively low-dimensional Euclidean space. Statistical shape data have two main properties that suggest a need for a novel approach: (i) shapes are inherently infinite dimensional with strong dependence among the positions of nearby points, and (ii) shape space is ","authors_text":"Min Ho Cho, Sebastian Kurtek, Steven N. MacEachern","cross_cats":["cs.CV","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-01-22T19:43:37Z","title":"Aggregated Pairwise Classification of Statistical Shapes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07593","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":"sha256:166017c9c1f27ffed95eef043b4d647c18464c4cfcab9e708c87fc5145a50497","target":"record","created_at":"2026-05-17T23:55:42Z","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":"3ac4ed80c3b09050934f1fbbe17f1aa47b14f4a6af41b5ab143bc531ad6e97fd","cross_cats_sorted":["cs.CV","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2019-01-22T19:43:37Z","title_canon_sha256":"ad88d4ecdae46a7c9e359c8e664839d73c08f46ce052d73a09a4afd720a2e470"},"schema_version":"1.0","source":{"id":"1901.07593","kind":"arxiv","version":1}},"canonical_sha256":"2ff0253391433ee2fc749af6a7959692948676dd0cb3b17a0e836b95adb59e4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ff0253391433ee2fc749af6a7959692948676dd0cb3b17a0e836b95adb59e4c","first_computed_at":"2026-05-17T23:55:42.077521Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:42.077521Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L159X79N4xYltOgo8S0LoIDnCZVNevbiR5tKo8L0D8SCwCN/yKupZrwmElFAJnqNVN3OHaXCSsETOSQLSGeiDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:42.077934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:166017c9c1f27ffed95eef043b4d647c18464c4cfcab9e708c87fc5145a50497","sha256:cfbb6d9b7f301489c94b7e61f62513b9db38bc3d0f11a2c50d5c2333839c8f82"],"state_sha256":"e4fa09eefb4c1af0124c125bbacea6463e266a5e4e2ffce76c935f7c54349c30"}