{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:H4UHCFVXERR7L7BQ7UVOCI6KZZ","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":"1cfd0c298d01a18073b361de6340a4bc47d0efcd43f8199eacab5def6bdbb201","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2016-10-24T23:53:03Z","title_canon_sha256":"49c0c9634852e399c62602533507b87f6d0165e9a18c174a9538f7f1c7734b80"},"schema_version":"1.0","source":{"id":"1610.07684","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.07684","created_at":"2026-05-18T01:01:21Z"},{"alias_kind":"arxiv_version","alias_value":"1610.07684v1","created_at":"2026-05-18T01:01:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.07684","created_at":"2026-05-18T01:01:21Z"},{"alias_kind":"pith_short_12","alias_value":"H4UHCFVXERR7","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"H4UHCFVXERR7L7BQ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"H4UHCFVX","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:ac1d6cba91d5cf8c8b758fb0e2736a1763207e008b1c76638cdec9c82e1f74bc","target":"graph","created_at":"2026-05-18T01:01:21Z","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":"In this paper, we address the the major hurdle of high dimensionality in EEG analysis by extracting the optimal lower dimensional representations. Using our approach, connectivity between regions in a high-dimensional brain network is characterized through the connectivity between region-specific factors. The proposed approach is motivated by our observation that electroencephalograms (EEGs) from channels within each region exhibit a high degree of multicollinearity and synchrony. These observations suggest that it would be sensible to extract summary factors for each region. We consider the g","authors_text":"Chee-Ming Ting, Hernando Ombao, Yuxiao Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2016-10-24T23:53:03Z","title":"Exploratory Analysis of High Dimensional Time Series with Applications to Multichannel Electroencephalograms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07684","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":"sha256:9fe9a53cb06300b1e8a515142078d007ec89b2241d68460dd9220f04d5d4fcf1","target":"record","created_at":"2026-05-18T01:01:21Z","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":"1cfd0c298d01a18073b361de6340a4bc47d0efcd43f8199eacab5def6bdbb201","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2016-10-24T23:53:03Z","title_canon_sha256":"49c0c9634852e399c62602533507b87f6d0165e9a18c174a9538f7f1c7734b80"},"schema_version":"1.0","source":{"id":"1610.07684","kind":"arxiv","version":1}},"canonical_sha256":"3f287116b72463f5fc30fd2ae123cace59daac9f960cadabc08f6b6727f61d88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f287116b72463f5fc30fd2ae123cace59daac9f960cadabc08f6b6727f61d88","first_computed_at":"2026-05-18T01:01:21.491858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:21.491858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VdodGI+vhAv/C7L/RjK4jlcbIrXG8+qWcc397BcT43eLVy8dla4qEpBvAkHOpWFkgpa7kKL5pcnZnmmE2n8YCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:21.492475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.07684","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fe9a53cb06300b1e8a515142078d007ec89b2241d68460dd9220f04d5d4fcf1","sha256:ac1d6cba91d5cf8c8b758fb0e2736a1763207e008b1c76638cdec9c82e1f74bc"],"state_sha256":"3cd4e079f8adf4da1105f721b23d0fd4a5b484ef7114859fb710b03faae2f096"}