{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:F3IM4VBLEPJTFRU3A6UMQKFXK7","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":"ff0f7aa961a9aa9b45ecb4a4c4a19aa0863a3df71ddd5e57c926a5fc965f3afd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-07T20:52:01Z","title_canon_sha256":"a0498f225cf8686a2b66b794f99c84a299fb598e1b8ada21da5a7ad397cc9019"},"schema_version":"1.0","source":{"id":"2506.06919","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.06919","created_at":"2026-07-05T11:17:58Z"},{"alias_kind":"arxiv_version","alias_value":"2506.06919v1","created_at":"2026-07-05T11:17:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06919","created_at":"2026-07-05T11:17:58Z"},{"alias_kind":"pith_short_12","alias_value":"F3IM4VBLEPJT","created_at":"2026-07-05T11:17:58Z"},{"alias_kind":"pith_short_16","alias_value":"F3IM4VBLEPJTFRU3","created_at":"2026-07-05T11:17:58Z"},{"alias_kind":"pith_short_8","alias_value":"F3IM4VBL","created_at":"2026-07-05T11:17:58Z"}],"graph_snapshots":[{"event_id":"sha256:70b5b7b3579ca6f65253ac39fa07b08920e3de8dccafe1259bb4c660bf4def24","target":"graph","created_at":"2026-07-05T11:17:58Z","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/2506.06919/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As tensor-valued data become increasingly common in time series analysis, there is a growing need for flexible and interpretable models that can handle high-dimensional predictors and responses across multiple modes. We propose a unified framework for high-dimensional tensor stochastic regression based on CANDECOMP/PARAFAC (CP) decomposition, which encompasses vector, matrix, and tensor responses and predictors as special cases. Tensor autoregression naturally arises as a special case within this framework. By leveraging CP decomposition, the proposed models interpret the interactive roles of ","authors_text":"Shibo Li, Yao Zheng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-07T20:52:01Z","title":"Tensor Stochastic Regression for High-dimensional Time Series via CP Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06919","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:a2f0148d758c3a53ac60b5ca21a8045fe48bd262c6018c8962f39549e4876a68","target":"record","created_at":"2026-07-05T11:17:58Z","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":"ff0f7aa961a9aa9b45ecb4a4c4a19aa0863a3df71ddd5e57c926a5fc965f3afd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-06-07T20:52:01Z","title_canon_sha256":"a0498f225cf8686a2b66b794f99c84a299fb598e1b8ada21da5a7ad397cc9019"},"schema_version":"1.0","source":{"id":"2506.06919","kind":"arxiv","version":1}},"canonical_sha256":"2ed0ce542b23d332c69b07a8c828b757ea177229cd1dce0f510f461cd8970ed7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ed0ce542b23d332c69b07a8c828b757ea177229cd1dce0f510f461cd8970ed7","first_computed_at":"2026-07-05T11:17:58.205006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:58.205006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"162R07Ma4LLQ5PzGvBb4MoNF/1pRh0MlO7Ag0me4Xe+eo3hlvQLV9aZzMO+2sv80vYc4NHE/Xda8ADf7JJGwDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:58.205442Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.06919","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2f0148d758c3a53ac60b5ca21a8045fe48bd262c6018c8962f39549e4876a68","sha256:70b5b7b3579ca6f65253ac39fa07b08920e3de8dccafe1259bb4c660bf4def24"],"state_sha256":"e4f3cd5ef1f32944c577a3eb46f107286a147ef979b61332a142b8a20d84d58e"}