{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:HQPWL6TTL5IPW6LSORBVP4B2CH","short_pith_number":"pith:HQPWL6TT","canonical_record":{"source":{"id":"1501.07240","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.ME","submitted_at":"2015-01-28T19:11:13Z","cross_cats_sorted":[],"title_canon_sha256":"c1a2f2208d30a18e7937085914e7819e80d5c28e3ca1620116a99dcb05225c34","abstract_canon_sha256":"018594e6293e5eb16859262aceb1f92e302b501e376ebae1403a4c67b977839d"},"schema_version":"1.0"},"canonical_sha256":"3c1f65fa735f50fb7972744357f03a11dcfe7fd2ea40f6aae5ba9f429c6bc9c4","source":{"kind":"arxiv","id":"1501.07240","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07240","created_at":"2026-05-18T02:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07240v2","created_at":"2026-05-18T02:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07240","created_at":"2026-05-18T02:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"HQPWL6TTL5IP","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HQPWL6TTL5IPW6LS","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HQPWL6TT","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:HQPWL6TTL5IPW6LSORBVP4B2CH","target":"record","payload":{"canonical_record":{"source":{"id":"1501.07240","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.ME","submitted_at":"2015-01-28T19:11:13Z","cross_cats_sorted":[],"title_canon_sha256":"c1a2f2208d30a18e7937085914e7819e80d5c28e3ca1620116a99dcb05225c34","abstract_canon_sha256":"018594e6293e5eb16859262aceb1f92e302b501e376ebae1403a4c67b977839d"},"schema_version":"1.0"},"canonical_sha256":"3c1f65fa735f50fb7972744357f03a11dcfe7fd2ea40f6aae5ba9f429c6bc9c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:19.453247Z","signature_b64":"K1MgdrUQcgqJrYh6AB7YIET9LCA1kwkBVilt7n3eIfjQnVWkygkmS6fm592tTXC2yIBY7Eb7XUW9+D0MC++mDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c1f65fa735f50fb7972744357f03a11dcfe7fd2ea40f6aae5ba9f429c6bc9c4","last_reissued_at":"2026-05-18T02:20:19.452657Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:19.452657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.07240","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":"2026-05-18T02:20:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TU7B/1jqq2UbRYt4u8D1S0RouZdc+o1jiG23eEtVxbP9aYGcdevGYJhDVRXSGV+6hsMHbpR/8yaPQa2Fujk1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:19.830545Z"},"content_sha256":"14be23515650427cb95d7755b5917d86067008bc7201ab61de8ba685034b0554","schema_version":"1.0","event_id":"sha256:14be23515650427cb95d7755b5917d86067008bc7201ab61de8ba685034b0554"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:HQPWL6TTL5IPW6LSORBVP4B2CH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The use of a common location measure in the invariant coordinate selection and projection pursuit","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Fatimah Alashwali, John Kent","submitted_at":"2015-01-28T19:11:13Z","abstract_excerpt":"Invariant coordinate selection (ICS) and projection pursuit (PP) are two methods that can be used to detect clustering directions in multivariate data by optimizing criteria sensitive to non-normality. In particular, ICS finds clustering directions using a relative eigen-decomposition of two scatter matrices with different levels of robustness; PP is a one-dimensional variant of ICS. Each of the two scatter matrices includes an implicit or explicit choice of location. However, when different measures of location are used, ICS and PP can behave counter-intuitively. In this paper we explore this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07240","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":"2026-05-18T02:20:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A9lrlN+9Djd+TULdsRlaYNu4HUcWr5n0KfhvF6qbGrssbUh9N3af9ccqlQCljI7ZpM2MQ7QBXrl3VdewBp8mBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:06:19.831225Z"},"content_sha256":"d6132c10791090e72433c73fe44d1f1e122e78f175e26124a69874c259e7fee1","schema_version":"1.0","event_id":"sha256:d6132c10791090e72433c73fe44d1f1e122e78f175e26124a69874c259e7fee1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HQPWL6TTL5IPW6LSORBVP4B2CH/bundle.json","state_url":"https://pith.science/pith/HQPWL6TTL5IPW6LSORBVP4B2CH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HQPWL6TTL5IPW6LSORBVP4B2CH/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":"2026-05-27T09:06:19Z","links":{"resolver":"https://pith.science/pith/HQPWL6TTL5IPW6LSORBVP4B2CH","bundle":"https://pith.science/pith/HQPWL6TTL5IPW6LSORBVP4B2CH/bundle.json","state":"https://pith.science/pith/HQPWL6TTL5IPW6LSORBVP4B2CH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HQPWL6TTL5IPW6LSORBVP4B2CH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HQPWL6TTL5IPW6LSORBVP4B2CH","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":"018594e6293e5eb16859262aceb1f92e302b501e376ebae1403a4c67b977839d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.ME","submitted_at":"2015-01-28T19:11:13Z","title_canon_sha256":"c1a2f2208d30a18e7937085914e7819e80d5c28e3ca1620116a99dcb05225c34"},"schema_version":"1.0","source":{"id":"1501.07240","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.07240","created_at":"2026-05-18T02:20:19Z"},{"alias_kind":"arxiv_version","alias_value":"1501.07240v2","created_at":"2026-05-18T02:20:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07240","created_at":"2026-05-18T02:20:19Z"},{"alias_kind":"pith_short_12","alias_value":"HQPWL6TTL5IP","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HQPWL6TTL5IPW6LS","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HQPWL6TT","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:d6132c10791090e72433c73fe44d1f1e122e78f175e26124a69874c259e7fee1","target":"graph","created_at":"2026-05-18T02:20:19Z","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":"Invariant coordinate selection (ICS) and projection pursuit (PP) are two methods that can be used to detect clustering directions in multivariate data by optimizing criteria sensitive to non-normality. In particular, ICS finds clustering directions using a relative eigen-decomposition of two scatter matrices with different levels of robustness; PP is a one-dimensional variant of ICS. Each of the two scatter matrices includes an implicit or explicit choice of location. However, when different measures of location are used, ICS and PP can behave counter-intuitively. In this paper we explore this","authors_text":"Fatimah Alashwali, John Kent","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.ME","submitted_at":"2015-01-28T19:11:13Z","title":"The use of a common location measure in the invariant coordinate selection and projection pursuit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07240","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":"sha256:14be23515650427cb95d7755b5917d86067008bc7201ab61de8ba685034b0554","target":"record","created_at":"2026-05-18T02:20:19Z","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":"018594e6293e5eb16859262aceb1f92e302b501e376ebae1403a4c67b977839d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"stat.ME","submitted_at":"2015-01-28T19:11:13Z","title_canon_sha256":"c1a2f2208d30a18e7937085914e7819e80d5c28e3ca1620116a99dcb05225c34"},"schema_version":"1.0","source":{"id":"1501.07240","kind":"arxiv","version":2}},"canonical_sha256":"3c1f65fa735f50fb7972744357f03a11dcfe7fd2ea40f6aae5ba9f429c6bc9c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c1f65fa735f50fb7972744357f03a11dcfe7fd2ea40f6aae5ba9f429c6bc9c4","first_computed_at":"2026-05-18T02:20:19.452657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:19.452657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K1MgdrUQcgqJrYh6AB7YIET9LCA1kwkBVilt7n3eIfjQnVWkygkmS6fm592tTXC2yIBY7Eb7XUW9+D0MC++mDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:19.453247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.07240","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14be23515650427cb95d7755b5917d86067008bc7201ab61de8ba685034b0554","sha256:d6132c10791090e72433c73fe44d1f1e122e78f175e26124a69874c259e7fee1"],"state_sha256":"0be3d841d472452474d0a092d59cc8bdb90f4f68124aa13da689023cf8d9759b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NJdMNZA/K8JqzrTsVIuBx7qAsLrYAAST3LL0AfNKN5M1NSU/oDBbabeLgA3moTeGKIcawPjiwhKOlVCOgvrtDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:06:19.834872Z","bundle_sha256":"2b7c5a4191f2d6b904edc1bc63782c5001ab5cf018fe5fac1b91628375e51d47"}}