{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NYROYQIZ435G554BHTYLPP6S3X","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":"0e898a34c05d928b6b519f6376ced50b00a8135023dffa01daeb2ce742d8167c","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-07-06T04:00:26Z","title_canon_sha256":"48fe55cd05d390bd0a6945f28002187dd87aed6fd15410761426433a422d4dd7"},"schema_version":"1.0","source":{"id":"2507.04237","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.04237","created_at":"2026-07-05T11:34:53Z"},{"alias_kind":"arxiv_version","alias_value":"2507.04237v2","created_at":"2026-07-05T11:34:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.04237","created_at":"2026-07-05T11:34:53Z"},{"alias_kind":"pith_short_12","alias_value":"NYROYQIZ435G","created_at":"2026-07-05T11:34:53Z"},{"alias_kind":"pith_short_16","alias_value":"NYROYQIZ435G554B","created_at":"2026-07-05T11:34:53Z"},{"alias_kind":"pith_short_8","alias_value":"NYROYQIZ","created_at":"2026-07-05T11:34:53Z"}],"graph_snapshots":[{"event_id":"sha256:47dc337364a8ac3f06d6a766064356a8dbb53deb751685f792f28025e87a93fa","target":"graph","created_at":"2026-07-05T11:34:53Z","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/2507.04237/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Time series classification is crucial for numerous scientific and engineering applications. In this article, we present a numerically efficient, practically competitive, and theoretically rigorous classification method for distinguishing between two classes of locally stationary time series based on their time-domain, second-order characteristics. Our approach builds on the autoregressive approximation for locally stationary time series, combined with an ensemble aggregation and a distance-based threshold for classification. It imposes no requirement on the training sample size, and is shown t","authors_text":"Chen Qian, Lexin Li, Xiucai Ding","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-07-06T04:00:26Z","title":"Structural Classification of Locally Stationary Time Series Based on Second-order Characteristics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.04237","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":"sha256:2d84a0de4eaa456090db94e4e0adeceeee29239b9c0481f97937b72392c135c0","target":"record","created_at":"2026-07-05T11:34:53Z","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":"0e898a34c05d928b6b519f6376ced50b00a8135023dffa01daeb2ce742d8167c","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.ME","submitted_at":"2025-07-06T04:00:26Z","title_canon_sha256":"48fe55cd05d390bd0a6945f28002187dd87aed6fd15410761426433a422d4dd7"},"schema_version":"1.0","source":{"id":"2507.04237","kind":"arxiv","version":2}},"canonical_sha256":"6e22ec4119e6fa6ef7813cf0b7bfd2ddef8e3b4438599cd46c53048924baadfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e22ec4119e6fa6ef7813cf0b7bfd2ddef8e3b4438599cd46c53048924baadfe","first_computed_at":"2026-07-05T11:34:53.329662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:34:53.329662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HOU05MQIcLnJ4M7t7hbpxfAm6eptIAV5qNYGE6EWX1ymw3IEaUqn5gLRnYM4XSMf2Ir/amp6XPwg0OFkGM3dBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:34:53.330170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.04237","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d84a0de4eaa456090db94e4e0adeceeee29239b9c0481f97937b72392c135c0","sha256:47dc337364a8ac3f06d6a766064356a8dbb53deb751685f792f28025e87a93fa"],"state_sha256":"6860efbc517aa70d5ff46704836141849b67834c177113d32b6e3ae739052d54"}