{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HJJ47MHMGBEYLGTWUXSLCLF4MP","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":"e9ab765a5ca4fe7e28d336c9d3d8870efe8894406a174e39a40d14a2144bef53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-08-13T14:30:03Z","title_canon_sha256":"83394fd1bd427dee11d09317720a09c5523b1f4d951b54524b572be624e30a04"},"schema_version":"1.0","source":{"id":"1708.03914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03914","created_at":"2026-05-18T00:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03914v1","created_at":"2026-05-18T00:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03914","created_at":"2026-05-18T00:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"HJJ47MHMGBEY","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HJJ47MHMGBEYLGTW","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HJJ47MHM","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:5fff684e5a02ee7c7eaad3891ac3fd2d7c3ce528dfbba9e4055f1774a8c6aa3f","target":"graph","created_at":"2026-05-18T00:38:07Z","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":"A fundamental question in data analysis, machine learning and signal processing is how to compare between data points. The choice of the distance metric is specifically challenging for high-dimensional data sets, where the problem of meaningfulness is more prominent (e.g. the Euclidean distance between images). In this paper, we propose to exploit a property of high-dimensional data that is usually ignored - which is the structure stemming from the relationships between the coordinates. Specifically we show that organizing similar coordinates in clusters can be exploited for the construction o","authors_text":"Almog Lahav, Ronen Talmon, Yuval Kluger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-08-13T14:30:03Z","title":"Mahalanonbis Distance Informed by Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03914","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":"sha256:3e3b2bee55c2209094a7d263bdd15bb909fdcfe0f5cb22c196f879ef5dd6bc67","target":"record","created_at":"2026-05-18T00:38:07Z","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":"e9ab765a5ca4fe7e28d336c9d3d8870efe8894406a174e39a40d14a2144bef53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-08-13T14:30:03Z","title_canon_sha256":"83394fd1bd427dee11d09317720a09c5523b1f4d951b54524b572be624e30a04"},"schema_version":"1.0","source":{"id":"1708.03914","kind":"arxiv","version":1}},"canonical_sha256":"3a53cfb0ec3049859a76a5e4b12cbc63cfc8dd0e8d6a77b679b49efa5878282d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a53cfb0ec3049859a76a5e4b12cbc63cfc8dd0e8d6a77b679b49efa5878282d","first_computed_at":"2026-05-18T00:38:07.538427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:07.538427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rPpAmVbpjcwmkn4p6wWTH2BUoLlX1ItOOyAP3vU9uwBA3CZ+b1lZr2DP0yfO+xB9HRtM9QuRSuB5RpKwnEy+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:07.539037Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e3b2bee55c2209094a7d263bdd15bb909fdcfe0f5cb22c196f879ef5dd6bc67","sha256:5fff684e5a02ee7c7eaad3891ac3fd2d7c3ce528dfbba9e4055f1774a8c6aa3f"],"state_sha256":"c1f9ee06c84080ff96f7ade7d112175934abc92b705b1a71f149c96b69ea5ea6"}