{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4H32A7GIAGZEUNAH6WAXLXQGBA","short_pith_number":"pith:4H32A7GI","canonical_record":{"source":{"id":"1406.3704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-14T09:10:04Z","cross_cats_sorted":[],"title_canon_sha256":"bff26f480874af11ba92f4cd5a856b0620d7484922c8ef71d47b00cca6ffcd44","abstract_canon_sha256":"4179fdf861c2d2e0f41d8804299487e7bf870d04b33527a23b843f3ff73d36f6"},"schema_version":"1.0"},"canonical_sha256":"e1f7a07cc801b24a3407f58175de060832d25cbf17a2f030b77a451b7da60a71","source":{"kind":"arxiv","id":"1406.3704","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3704","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3704v1","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3704","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"4H32A7GIAGZE","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4H32A7GIAGZEUNAH","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4H32A7GI","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4H32A7GIAGZEUNAH6WAXLXQGBA","target":"record","payload":{"canonical_record":{"source":{"id":"1406.3704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-14T09:10:04Z","cross_cats_sorted":[],"title_canon_sha256":"bff26f480874af11ba92f4cd5a856b0620d7484922c8ef71d47b00cca6ffcd44","abstract_canon_sha256":"4179fdf861c2d2e0f41d8804299487e7bf870d04b33527a23b843f3ff73d36f6"},"schema_version":"1.0"},"canonical_sha256":"e1f7a07cc801b24a3407f58175de060832d25cbf17a2f030b77a451b7da60a71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:45.175868Z","signature_b64":"+A82+9V3RbGZvQ3OZlyJ1J/yH7h9cdTF3HFo96/zcobhMqMVO55mhTHizv+ZN9/TC00SqdUZvJYNs92TjP0WAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1f7a07cc801b24a3407f58175de060832d25cbf17a2f030b77a451b7da60a71","last_reissued_at":"2026-05-18T02:49:45.175519Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:45.175519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.3704","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":"2026-05-18T02:49:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oTdfnvJAa515Ka9BCoH9H/NItW3SyViIXhUowaB5rQlUdXpc7cHhnPz/0Kx8BTiQiRGz9FNkcCWnWknXWR8jCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:29:36.455802Z"},"content_sha256":"aa597059e6065edef4199e6246673912a9c2d71af1231122ffcfb31dff248d0e","schema_version":"1.0","event_id":"sha256:aa597059e6065edef4199e6246673912a9c2d71af1231122ffcfb31dff248d0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4H32A7GIAGZEUNAH6WAXLXQGBA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model-based clustering of multivariate binary data with dimension reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Kenichi Hayashi, Michio Yamamoto","submitted_at":"2014-06-14T09:10:04Z","abstract_excerpt":"Clustering methods with dimension reduction have been receiving considerable wide interest in statistics lately and a lot of methods to simultaneously perform clustering and dimension reduction have been proposed. This work presents a novel procedure for simultaneously determining the optimal cluster structure for multivariate binary data and the subspace to represent that cluster structure. The method is based on a finite mixture model of multivariate Bernoulli distributions, and each component is assumed to have a low-dimensional representation of the cluster structure. This method can be co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3704","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":"2026-05-18T02:49:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5tYgFURHluWZ7bTSrn6djHj+xRegC9j/1iWv39rUUyvLEEom/mF3FaqJ6uE4fEB7XCGAQUxC+ydPQg2oejFGBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T20:29:36.456163Z"},"content_sha256":"b0622d537e4841fc99f52ca2249e84d3d5a7c00db02f8689171d69f3ec938c17","schema_version":"1.0","event_id":"sha256:b0622d537e4841fc99f52ca2249e84d3d5a7c00db02f8689171d69f3ec938c17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4H32A7GIAGZEUNAH6WAXLXQGBA/bundle.json","state_url":"https://pith.science/pith/4H32A7GIAGZEUNAH6WAXLXQGBA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4H32A7GIAGZEUNAH6WAXLXQGBA/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":"2026-06-27T20:29:36Z","links":{"resolver":"https://pith.science/pith/4H32A7GIAGZEUNAH6WAXLXQGBA","bundle":"https://pith.science/pith/4H32A7GIAGZEUNAH6WAXLXQGBA/bundle.json","state":"https://pith.science/pith/4H32A7GIAGZEUNAH6WAXLXQGBA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4H32A7GIAGZEUNAH6WAXLXQGBA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4H32A7GIAGZEUNAH6WAXLXQGBA","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":"4179fdf861c2d2e0f41d8804299487e7bf870d04b33527a23b843f3ff73d36f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-14T09:10:04Z","title_canon_sha256":"bff26f480874af11ba92f4cd5a856b0620d7484922c8ef71d47b00cca6ffcd44"},"schema_version":"1.0","source":{"id":"1406.3704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3704","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3704v1","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3704","created_at":"2026-05-18T02:49:45Z"},{"alias_kind":"pith_short_12","alias_value":"4H32A7GIAGZE","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4H32A7GIAGZEUNAH","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4H32A7GI","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:b0622d537e4841fc99f52ca2249e84d3d5a7c00db02f8689171d69f3ec938c17","target":"graph","created_at":"2026-05-18T02:49:45Z","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":"Clustering methods with dimension reduction have been receiving considerable wide interest in statistics lately and a lot of methods to simultaneously perform clustering and dimension reduction have been proposed. This work presents a novel procedure for simultaneously determining the optimal cluster structure for multivariate binary data and the subspace to represent that cluster structure. The method is based on a finite mixture model of multivariate Bernoulli distributions, and each component is assumed to have a low-dimensional representation of the cluster structure. This method can be co","authors_text":"Kenichi Hayashi, Michio Yamamoto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-14T09:10:04Z","title":"Model-based clustering of multivariate binary data with dimension reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3704","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:aa597059e6065edef4199e6246673912a9c2d71af1231122ffcfb31dff248d0e","target":"record","created_at":"2026-05-18T02:49:45Z","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":"4179fdf861c2d2e0f41d8804299487e7bf870d04b33527a23b843f3ff73d36f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-06-14T09:10:04Z","title_canon_sha256":"bff26f480874af11ba92f4cd5a856b0620d7484922c8ef71d47b00cca6ffcd44"},"schema_version":"1.0","source":{"id":"1406.3704","kind":"arxiv","version":1}},"canonical_sha256":"e1f7a07cc801b24a3407f58175de060832d25cbf17a2f030b77a451b7da60a71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1f7a07cc801b24a3407f58175de060832d25cbf17a2f030b77a451b7da60a71","first_computed_at":"2026-05-18T02:49:45.175519Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:45.175519Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+A82+9V3RbGZvQ3OZlyJ1J/yH7h9cdTF3HFo96/zcobhMqMVO55mhTHizv+ZN9/TC00SqdUZvJYNs92TjP0WAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:45.175868Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa597059e6065edef4199e6246673912a9c2d71af1231122ffcfb31dff248d0e","sha256:b0622d537e4841fc99f52ca2249e84d3d5a7c00db02f8689171d69f3ec938c17"],"state_sha256":"ccac18f9b78ae0bd778de3c546cb3dd0467990fe6b9e33e4f9b64414ecfb15ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uF56/n5MB7zefz9UBARVMjC9raDQBBBCB6u/+0PLzXhsf5wUd9q3+pXcaiL1O+VK+Ftjby1TUoeL8++JGz72BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T20:29:36.458066Z","bundle_sha256":"0eae940d1749710d42c3010e4cc1ce88d3847a4a45679802aab28ba6031cae83"}}