{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UPY6OVSZTCIEABFXWB2PGPJBQR","short_pith_number":"pith:UPY6OVSZ","canonical_record":{"source":{"id":"1907.06771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-07-15T22:13:00Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"30d96f557bb3b87f52e1fb5a0e9d1742f45697b84302e156db7d74fd2df1f6ef","abstract_canon_sha256":"7410272b2ca129ed2fd116996b2c1a59f50a8f835aad62d3cfad3cdcaae29d63"},"schema_version":"1.0"},"canonical_sha256":"a3f1e7565998904004b7b074f33d21847b603cc486e446735e72970b160354aa","source":{"kind":"arxiv","id":"1907.06771","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06771","created_at":"2026-05-17T23:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06771v1","created_at":"2026-05-17T23:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06771","created_at":"2026-05-17T23:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"UPY6OVSZTCIE","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UPY6OVSZTCIEABFX","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UPY6OVSZ","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UPY6OVSZTCIEABFXWB2PGPJBQR","target":"record","payload":{"canonical_record":{"source":{"id":"1907.06771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-07-15T22:13:00Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"30d96f557bb3b87f52e1fb5a0e9d1742f45697b84302e156db7d74fd2df1f6ef","abstract_canon_sha256":"7410272b2ca129ed2fd116996b2c1a59f50a8f835aad62d3cfad3cdcaae29d63"},"schema_version":"1.0"},"canonical_sha256":"a3f1e7565998904004b7b074f33d21847b603cc486e446735e72970b160354aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:29.214935Z","signature_b64":"7nW1qY3WeeLlZ8tXZ9Uq9UMqOT+tWtlZQyGkERYmEOEyeIewXP90HqjkHVsLut+QAyJ3e5518tSo4cbapiDvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3f1e7565998904004b7b074f33d21847b603cc486e446735e72970b160354aa","last_reissued_at":"2026-05-17T23:40:29.214243Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:29.214243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.06771","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":"2026-05-17T23:40:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lua3fi7ppuYR/JZvF9PHH5dt26/T4q+isLP8i2OZ1A3rmxMoY5XQH1WVRLGQe2yoZex3gYxapat2fLKydqn3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T23:11:30.413613Z"},"content_sha256":"3836fffdeed5814abd7c3f46f5d4110bef96b7a038df80dcf46e3475469d5932","schema_version":"1.0","event_id":"sha256:3836fffdeed5814abd7c3f46f5d4110bef96b7a038df80dcf46e3475469d5932"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UPY6OVSZTCIEABFXWB2PGPJBQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subspace Determination through Local Intrinsic Dimensional Decomposition: Theory and Experimentation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Arthur Zimek, Imane Hafnaoui, Michael E. Houle, Pan Li, Ruben Becker","submitted_at":"2019-07-15T22:13:00Z","abstract_excerpt":"Axis-aligned subspace clustering generally entails searching through enormous numbers of subspaces (feature combinations) and evaluation of cluster quality within each subspace. In this paper, we tackle the problem of identifying subsets of features with the most significant contribution to the formation of the local neighborhood surrounding a given data point. For each point, the recently-proposed Local Intrinsic Dimension (LID) model is used in identifying the axis directions along which features have the greatest local discriminability, or equivalently, the fewest number of components of LI"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06771","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":"2026-05-17T23:40:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOK8wQeZovEDqM6bDoBeTqXn/yOeSXdHom/u5RgWvv2DebvcMq5oD7PtfkzoS5Cm+wkq941dWJfOuThK9jc3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T23:11:30.413972Z"},"content_sha256":"6a11af7250fa05d7972cb511a375cf701874c94d429750197682a18f15399488","schema_version":"1.0","event_id":"sha256:6a11af7250fa05d7972cb511a375cf701874c94d429750197682a18f15399488"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UPY6OVSZTCIEABFXWB2PGPJBQR/bundle.json","state_url":"https://pith.science/pith/UPY6OVSZTCIEABFXWB2PGPJBQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UPY6OVSZTCIEABFXWB2PGPJBQR/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":"2026-05-21T23:11:30Z","links":{"resolver":"https://pith.science/pith/UPY6OVSZTCIEABFXWB2PGPJBQR","bundle":"https://pith.science/pith/UPY6OVSZTCIEABFXWB2PGPJBQR/bundle.json","state":"https://pith.science/pith/UPY6OVSZTCIEABFXWB2PGPJBQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UPY6OVSZTCIEABFXWB2PGPJBQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UPY6OVSZTCIEABFXWB2PGPJBQR","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":"7410272b2ca129ed2fd116996b2c1a59f50a8f835aad62d3cfad3cdcaae29d63","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-07-15T22:13:00Z","title_canon_sha256":"30d96f557bb3b87f52e1fb5a0e9d1742f45697b84302e156db7d74fd2df1f6ef"},"schema_version":"1.0","source":{"id":"1907.06771","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.06771","created_at":"2026-05-17T23:40:29Z"},{"alias_kind":"arxiv_version","alias_value":"1907.06771v1","created_at":"2026-05-17T23:40:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.06771","created_at":"2026-05-17T23:40:29Z"},{"alias_kind":"pith_short_12","alias_value":"UPY6OVSZTCIE","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UPY6OVSZTCIEABFX","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UPY6OVSZ","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:6a11af7250fa05d7972cb511a375cf701874c94d429750197682a18f15399488","target":"graph","created_at":"2026-05-17T23:40:29Z","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":"Axis-aligned subspace clustering generally entails searching through enormous numbers of subspaces (feature combinations) and evaluation of cluster quality within each subspace. In this paper, we tackle the problem of identifying subsets of features with the most significant contribution to the formation of the local neighborhood surrounding a given data point. For each point, the recently-proposed Local Intrinsic Dimension (LID) model is used in identifying the axis directions along which features have the greatest local discriminability, or equivalently, the fewest number of components of LI","authors_text":"Arthur Zimek, Imane Hafnaoui, Michael E. Houle, Pan Li, Ruben Becker","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-07-15T22:13:00Z","title":"Subspace Determination through Local Intrinsic Dimensional Decomposition: Theory and Experimentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06771","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":"sha256:3836fffdeed5814abd7c3f46f5d4110bef96b7a038df80dcf46e3475469d5932","target":"record","created_at":"2026-05-17T23:40:29Z","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":"7410272b2ca129ed2fd116996b2c1a59f50a8f835aad62d3cfad3cdcaae29d63","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-07-15T22:13:00Z","title_canon_sha256":"30d96f557bb3b87f52e1fb5a0e9d1742f45697b84302e156db7d74fd2df1f6ef"},"schema_version":"1.0","source":{"id":"1907.06771","kind":"arxiv","version":1}},"canonical_sha256":"a3f1e7565998904004b7b074f33d21847b603cc486e446735e72970b160354aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3f1e7565998904004b7b074f33d21847b603cc486e446735e72970b160354aa","first_computed_at":"2026-05-17T23:40:29.214243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:29.214243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7nW1qY3WeeLlZ8tXZ9Uq9UMqOT+tWtlZQyGkERYmEOEyeIewXP90HqjkHVsLut+QAyJ3e5518tSo4cbapiDvAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:29.214935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.06771","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3836fffdeed5814abd7c3f46f5d4110bef96b7a038df80dcf46e3475469d5932","sha256:6a11af7250fa05d7972cb511a375cf701874c94d429750197682a18f15399488"],"state_sha256":"3cc5c2cdaf8ca1f830afdc3344d0c6322b1befc69fe4f71b3614f5e7ff69c21c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kv3tDNd++cXsIcyeb4wfd2BGL4ZZRurBCodpJzBc+eNEF6fb2DKB3lOKdKEz3h3FSJpAAB6LWqJ3h0OyA2CcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T23:11:30.416235Z","bundle_sha256":"ba83427a9afba67ed42a7f27d293455118bc04d0d0182adb1697a17e4f432f0c"}}