{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MYRFKY73CSCJE4ZL2Q43YTWYT4","short_pith_number":"pith:MYRFKY73","canonical_record":{"source":{"id":"2606.29631","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-28T22:29:32Z","cross_cats_sorted":[],"title_canon_sha256":"716b8ab4c31ddb135a0cc6c3962f6fc556ca7454df745040fabe47515dbe9795","abstract_canon_sha256":"07bdb9b5a41969212d4e505317211a5c705082a6219ec1e0f71acc17f935ac5f"},"schema_version":"1.0"},"canonical_sha256":"66225563fb148492732bd439bc4ed89f0a6eaa8de95a04199708163d52c9a20a","source":{"kind":"arxiv","id":"2606.29631","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29631","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29631v1","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29631","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"MYRFKY73CSCJ","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"pith_short_16","alias_value":"MYRFKY73CSCJE4ZL","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"pith_short_8","alias_value":"MYRFKY73","created_at":"2026-06-30T01:18:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MYRFKY73CSCJE4ZL2Q43YTWYT4","target":"record","payload":{"canonical_record":{"source":{"id":"2606.29631","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-28T22:29:32Z","cross_cats_sorted":[],"title_canon_sha256":"716b8ab4c31ddb135a0cc6c3962f6fc556ca7454df745040fabe47515dbe9795","abstract_canon_sha256":"07bdb9b5a41969212d4e505317211a5c705082a6219ec1e0f71acc17f935ac5f"},"schema_version":"1.0"},"canonical_sha256":"66225563fb148492732bd439bc4ed89f0a6eaa8de95a04199708163d52c9a20a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:18:20.300188Z","signature_b64":"kSt/Vrzk0ERPnhg1wM6pXIxcLqpyR6hlCK5WAWFGwj9jy2aLOSatW651eK+8YfZDW777mlURsGhqucnJN0YEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66225563fb148492732bd439bc4ed89f0a6eaa8de95a04199708163d52c9a20a","last_reissued_at":"2026-06-30T01:18:20.299622Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:18:20.299622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.29631","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":"2026-06-30T01:18:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X3LqtfcfZtiXpJxFr8YDHkMiBAomVOmH8SIRQwEZF2hiK0fpKzaUcL6IpRvUQPWz5FNiLV8VeDjV+7pVZNHSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T06:25:30.086263Z"},"content_sha256":"f026f3115113a89b9652480969c9c3c77977abfb58b199b93cc5f6e241d7c0a0","schema_version":"1.0","event_id":"sha256:f026f3115113a89b9652480969c9c3c77977abfb58b199b93cc5f6e241d7c0a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MYRFKY73CSCJE4ZL2Q43YTWYT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Local Independence: High-Dimensional Latent Class Graphical Models with Shared Block Structure","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Seunghyun Lee, Yuqi Gu","submitted_at":"2026-06-28T22:29:32Z","abstract_excerpt":"Latent class models are central tools for multivariate categorical data from heterogeneous populations, but their standard local-independence assumption is often unrealistic in modern high-dimensional applications. We propose a high-dimensional latent class graphical model for ordinal responses with block-structured local dependence. The model retains the interpretability and parsimony of classical latent class analysis by imposing a shared block partition of variables, while allowing class-specific graphical dependence within each block. We develop a scalable three-step estimator that first r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29631","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/2606.29631/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":"2026-06-30T01:18:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bi8t0Jf3Ff5I/1jr1lXEaCeaPN8cL5qUEZzdht0VjOEMYmrMat2tI66neTJYvvP4aflN0ZTlLO6IPuwWEvDBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T06:25:30.087113Z"},"content_sha256":"2010b18ee7a2e50237aec3845cd9f90d574c59940a0b620b56ecb4a150e1601f","schema_version":"1.0","event_id":"sha256:2010b18ee7a2e50237aec3845cd9f90d574c59940a0b620b56ecb4a150e1601f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4/bundle.json","state_url":"https://pith.science/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4/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":"2026-07-01T06:25:30Z","links":{"resolver":"https://pith.science/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4","bundle":"https://pith.science/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4/bundle.json","state":"https://pith.science/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MYRFKY73CSCJE4ZL2Q43YTWYT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MYRFKY73CSCJE4ZL2Q43YTWYT4","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":"07bdb9b5a41969212d4e505317211a5c705082a6219ec1e0f71acc17f935ac5f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-28T22:29:32Z","title_canon_sha256":"716b8ab4c31ddb135a0cc6c3962f6fc556ca7454df745040fabe47515dbe9795"},"schema_version":"1.0","source":{"id":"2606.29631","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29631","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29631v1","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29631","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"MYRFKY73CSCJ","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"pith_short_16","alias_value":"MYRFKY73CSCJE4ZL","created_at":"2026-06-30T01:18:20Z"},{"alias_kind":"pith_short_8","alias_value":"MYRFKY73","created_at":"2026-06-30T01:18:20Z"}],"graph_snapshots":[{"event_id":"sha256:2010b18ee7a2e50237aec3845cd9f90d574c59940a0b620b56ecb4a150e1601f","target":"graph","created_at":"2026-06-30T01:18:20Z","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/2606.29631/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Latent class models are central tools for multivariate categorical data from heterogeneous populations, but their standard local-independence assumption is often unrealistic in modern high-dimensional applications. We propose a high-dimensional latent class graphical model for ordinal responses with block-structured local dependence. The model retains the interpretability and parsimony of classical latent class analysis by imposing a shared block partition of variables, while allowing class-specific graphical dependence within each block. We develop a scalable three-step estimator that first r","authors_text":"Seunghyun Lee, Yuqi Gu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-28T22:29:32Z","title":"Beyond Local Independence: High-Dimensional Latent Class Graphical Models with Shared Block Structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29631","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:f026f3115113a89b9652480969c9c3c77977abfb58b199b93cc5f6e241d7c0a0","target":"record","created_at":"2026-06-30T01:18:20Z","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":"07bdb9b5a41969212d4e505317211a5c705082a6219ec1e0f71acc17f935ac5f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2026-06-28T22:29:32Z","title_canon_sha256":"716b8ab4c31ddb135a0cc6c3962f6fc556ca7454df745040fabe47515dbe9795"},"schema_version":"1.0","source":{"id":"2606.29631","kind":"arxiv","version":1}},"canonical_sha256":"66225563fb148492732bd439bc4ed89f0a6eaa8de95a04199708163d52c9a20a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66225563fb148492732bd439bc4ed89f0a6eaa8de95a04199708163d52c9a20a","first_computed_at":"2026-06-30T01:18:20.299622Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:18:20.299622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kSt/Vrzk0ERPnhg1wM6pXIxcLqpyR6hlCK5WAWFGwj9jy2aLOSatW651eK+8YfZDW777mlURsGhqucnJN0YEDQ==","signature_status":"signed_v1","signed_at":"2026-06-30T01:18:20.300188Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29631","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f026f3115113a89b9652480969c9c3c77977abfb58b199b93cc5f6e241d7c0a0","sha256:2010b18ee7a2e50237aec3845cd9f90d574c59940a0b620b56ecb4a150e1601f"],"state_sha256":"f48e66e89f7c1212c0c37472df290ab1f141a59d58e20cfda40d2c8af1b67d75"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3E3J+XxEPtbWHGa8lEwSAkCWZhaSBsg0IQMvNbJ/xY8cK5DFZ8v3H42xuMU8rzy5wy1gLd3wG1Efvo+QYhdcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T06:25:30.091026Z","bundle_sha256":"1fc53afca64a8d6626b8931bf36efe0ef2b9c4476080548a108db959558ae0c3"}}