{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4HDQUN44JVXTEF6TMF5TIMAHHO","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":"f312e04392dc7d9c4dec432ba529bd2c01aee271924094ffa125737d4488be64","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-18T22:56:02Z","title_canon_sha256":"67d4982031b9311305c254c231c708141111eaa42b9e8028ce0e70b6a9366838"},"schema_version":"1.0","source":{"id":"2509.15480","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.15480","created_at":"2026-05-20T00:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"2509.15480v2","created_at":"2026-05-20T00:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.15480","created_at":"2026-05-20T00:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"4HDQUN44JVXT","created_at":"2026-05-20T00:02:06Z"},{"alias_kind":"pith_short_16","alias_value":"4HDQUN44JVXTEF6T","created_at":"2026-05-20T00:02:06Z"},{"alias_kind":"pith_short_8","alias_value":"4HDQUN44","created_at":"2026-05-20T00:02:06Z"}],"graph_snapshots":[{"event_id":"sha256:087257656e83e4288136db335b2b53ae364903ff21246a2cd70d2f77c3857087","target":"graph","created_at":"2026-05-20T00:02:06Z","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/2509.15480/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modeling multiple sampling densities within a hierarchical framework enables borrowing of information across samples. These density random effects can act as kernels in latent variable models to represent exchangeable subgroups or clusters. A key feature of these kernels is the (functional) covariance they induce, which determines how densities are grouped in mixture models. Our motivating problem is clustering chromatin accessibility profiles from high-throughput DNase-seq experiments to detect transcription factor (TF) binding. TF binding typically produces footprint profiles with spatial pa","authors_text":"Kaixuan Luo, Li Ma, Yuliang Xu","cross_cats":["stat.AP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-18T22:56:02Z","title":"A tree-based kernel for densities and its applications in clustering DNase-seq profiles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.15480","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:ed3f9c9404e7f532f47e39cb95f0a5fad6fb8fd58e1d21b14f696739276b6afe","target":"record","created_at":"2026-05-20T00:02:06Z","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":"f312e04392dc7d9c4dec432ba529bd2c01aee271924094ffa125737d4488be64","cross_cats_sorted":["stat.AP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"stat.ME","submitted_at":"2025-09-18T22:56:02Z","title_canon_sha256":"67d4982031b9311305c254c231c708141111eaa42b9e8028ce0e70b6a9366838"},"schema_version":"1.0","source":{"id":"2509.15480","kind":"arxiv","version":2}},"canonical_sha256":"e1c70a379c4d6f3217d3617b3430073b9049257d07a440289b57970dfb7ce496","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1c70a379c4d6f3217d3617b3430073b9049257d07a440289b57970dfb7ce496","first_computed_at":"2026-05-20T00:02:06.740529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:06.740529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hOPI0Lej4tckxXxVIUjrhQHv9DJ4EBy49oqO8c6ZskAQPCPbZlE0OeSfuHO3eaoma73uujJxMDpkjvuegIO3Ag==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:06.741259Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.15480","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed3f9c9404e7f532f47e39cb95f0a5fad6fb8fd58e1d21b14f696739276b6afe","sha256:087257656e83e4288136db335b2b53ae364903ff21246a2cd70d2f77c3857087"],"state_sha256":"9f2ef43f3ed0af1a437d6c521754b215168ac3072fde03d13edf1661ad706136"}