{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XPWTY32CJCCQL7HHL6CBAFLFB7","short_pith_number":"pith:XPWTY32C","canonical_record":{"source":{"id":"2607.14297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-15T18:59:58Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"acd0b9cd8090c53559c71f0f666fac4052a2c5b12df7272ac62a1c0fddd0664e","abstract_canon_sha256":"db88dcc03fb8f26c08a0036adea8d14f4ad99d655c77a71c6995ce3a404c97e2"},"schema_version":"1.0"},"canonical_sha256":"bbed3c6f42488505fce75f841015650fef14da7fa47a6e5f006426581b7966a4","source":{"kind":"arxiv","id":"2607.14297","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14297","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14297v1","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14297","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"XPWTY32CJCCQ","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"pith_short_16","alias_value":"XPWTY32CJCCQL7HH","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"pith_short_8","alias_value":"XPWTY32C","created_at":"2026-07-17T00:21:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XPWTY32CJCCQL7HHL6CBAFLFB7","target":"record","payload":{"canonical_record":{"source":{"id":"2607.14297","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-15T18:59:58Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"acd0b9cd8090c53559c71f0f666fac4052a2c5b12df7272ac62a1c0fddd0664e","abstract_canon_sha256":"db88dcc03fb8f26c08a0036adea8d14f4ad99d655c77a71c6995ce3a404c97e2"},"schema_version":"1.0"},"canonical_sha256":"bbed3c6f42488505fce75f841015650fef14da7fa47a6e5f006426581b7966a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-17T00:21:03.962304Z","signature_b64":"pa/j1509wbOiHdj7IrmQYsISqrmkWrx/P91z0alKDyZYLmubkVkLSjHP+1ylEmpYD4vwd6YZu25igw8UHKqbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbed3c6f42488505fce75f841015650fef14da7fa47a6e5f006426581b7966a4","last_reissued_at":"2026-07-17T00:21:03.961414Z","signature_status":"signed_v1","first_computed_at":"2026-07-17T00:21:03.961414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.14297","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":"2026-07-17T00:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GzlOh7b4Al1uqeJasZXK+JbxxXE4VRPVxxJRhV2wv1x9A80UNdGqjaWviYDWE5e7aY4me6HNLDjxuvffZ4CoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:21:16.083131Z"},"content_sha256":"70dd556364339b4fd747b7a623077276dbefc5894b33d13afbaa71411d0c7e44","schema_version":"1.0","event_id":"sha256:70dd556364339b4fd747b7a623077276dbefc5894b33d13afbaa71411d0c7e44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XPWTY32CJCCQL7HHL6CBAFLFB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parsimonious Mixtures of Skewed Bilinear Factor Analyzers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"stat.ME","authors_text":"Jacob Moore, Michael P.B. Gallaugher","submitted_at":"2026-07-15T18:59:58Z","abstract_excerpt":"Mixture models which cluster skewed random matrices can often suffer from over-parameterization in the absence of performing dimension reduction. Even with the use of bilinear factor analyzers, further parameter reduction can be achieved by constraining parameters over clusters. In this manuscript propose a parsimonious family of 256 models for mixtures of skewed matrix variate bilinear factor analyzers, specifically in the case of the skew t distribution. An AECM algorithm for parameter estimation is discussed in detail. Further, extensive simulations are performed, and the method is consider"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14297","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.14297/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-17T00:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L29lpAFqUWBlaU0PqBzTEExpxhX7k/reouNxZm7D7rcb0IY4hVi3DSd6H4tocTscXDrTNM5l5ZC7o5JZ6D38DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T16:21:16.083658Z"},"content_sha256":"20b0c49e9fa0b24a2741624d46043fb10cce144bd4b92b806a0b0cda0c1074df","schema_version":"1.0","event_id":"sha256:20b0c49e9fa0b24a2741624d46043fb10cce144bd4b92b806a0b0cda0c1074df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPWTY32CJCCQL7HHL6CBAFLFB7/bundle.json","state_url":"https://pith.science/pith/XPWTY32CJCCQL7HHL6CBAFLFB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPWTY32CJCCQL7HHL6CBAFLFB7/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":"2026-08-06T16:21:16Z","links":{"resolver":"https://pith.science/pith/XPWTY32CJCCQL7HHL6CBAFLFB7","bundle":"https://pith.science/pith/XPWTY32CJCCQL7HHL6CBAFLFB7/bundle.json","state":"https://pith.science/pith/XPWTY32CJCCQL7HHL6CBAFLFB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPWTY32CJCCQL7HHL6CBAFLFB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XPWTY32CJCCQL7HHL6CBAFLFB7","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":"db88dcc03fb8f26c08a0036adea8d14f4ad99d655c77a71c6995ce3a404c97e2","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-15T18:59:58Z","title_canon_sha256":"acd0b9cd8090c53559c71f0f666fac4052a2c5b12df7272ac62a1c0fddd0664e"},"schema_version":"1.0","source":{"id":"2607.14297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14297","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14297v1","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14297","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"XPWTY32CJCCQ","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"pith_short_16","alias_value":"XPWTY32CJCCQL7HH","created_at":"2026-07-17T00:21:03Z"},{"alias_kind":"pith_short_8","alias_value":"XPWTY32C","created_at":"2026-07-17T00:21:03Z"}],"graph_snapshots":[{"event_id":"sha256:20b0c49e9fa0b24a2741624d46043fb10cce144bd4b92b806a0b0cda0c1074df","target":"graph","created_at":"2026-07-17T00:21:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.14297/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Mixture models which cluster skewed random matrices can often suffer from over-parameterization in the absence of performing dimension reduction. Even with the use of bilinear factor analyzers, further parameter reduction can be achieved by constraining parameters over clusters. In this manuscript propose a parsimonious family of 256 models for mixtures of skewed matrix variate bilinear factor analyzers, specifically in the case of the skew t distribution. An AECM algorithm for parameter estimation is discussed in detail. Further, extensive simulations are performed, and the method is consider","authors_text":"Jacob Moore, Michael P.B. Gallaugher","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-15T18:59:58Z","title":"Parsimonious Mixtures of Skewed Bilinear Factor Analyzers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14297","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":"sha256:70dd556364339b4fd747b7a623077276dbefc5894b33d13afbaa71411d0c7e44","target":"record","created_at":"2026-07-17T00:21:03Z","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":"db88dcc03fb8f26c08a0036adea8d14f4ad99d655c77a71c6995ce3a404c97e2","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-07-15T18:59:58Z","title_canon_sha256":"acd0b9cd8090c53559c71f0f666fac4052a2c5b12df7272ac62a1c0fddd0664e"},"schema_version":"1.0","source":{"id":"2607.14297","kind":"arxiv","version":1}},"canonical_sha256":"bbed3c6f42488505fce75f841015650fef14da7fa47a6e5f006426581b7966a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbed3c6f42488505fce75f841015650fef14da7fa47a6e5f006426581b7966a4","first_computed_at":"2026-07-17T00:21:03.961414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T00:21:03.961414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pa/j1509wbOiHdj7IrmQYsISqrmkWrx/P91z0alKDyZYLmubkVkLSjHP+1ylEmpYD4vwd6YZu25igw8UHKqbBA==","signature_status":"signed_v1","signed_at":"2026-07-17T00:21:03.962304Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70dd556364339b4fd747b7a623077276dbefc5894b33d13afbaa71411d0c7e44","sha256:20b0c49e9fa0b24a2741624d46043fb10cce144bd4b92b806a0b0cda0c1074df"],"state_sha256":"fe20cedc87c541225b2a6c8af965eb613ad2493ac1dabacc47585380562b8986"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DhehcmnDk4dnl+nnSfD17/AL5Sxb/tH6AL6Dy26y9Ey0Wc1EXz/2R5BVnFQCcLoPUUJ7NCqNVBqpxAcc6GctDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T16:21:16.089568Z","bundle_sha256":"cf4adc234a8d2d7c05099d5aa10e7be315ef5fc0076bc163b7dd1bd82ba79615"}}