{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NOCO46UWZMWG36O4ATJB6MMAO2","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":"957ca53efad62e91ba560bf56b821757ef297600d43e47be0e0c2f99ba3b6009","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-11T12:11:37Z","title_canon_sha256":"2cc6594daaec32469054af55e6bfd593096d90c44da296e5fef7dad93f25992a"},"schema_version":"1.0","source":{"id":"2411.06909","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.06909","created_at":"2026-07-05T09:33:53Z"},{"alias_kind":"arxiv_version","alias_value":"2411.06909v1","created_at":"2026-07-05T09:33:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.06909","created_at":"2026-07-05T09:33:53Z"},{"alias_kind":"pith_short_12","alias_value":"NOCO46UWZMWG","created_at":"2026-07-05T09:33:53Z"},{"alias_kind":"pith_short_16","alias_value":"NOCO46UWZMWG36O4","created_at":"2026-07-05T09:33:53Z"},{"alias_kind":"pith_short_8","alias_value":"NOCO46UW","created_at":"2026-07-05T09:33:53Z"}],"graph_snapshots":[{"event_id":"sha256:4aec1db58dd286c5689243908112c18eb79a144df07a7c9082f9721f5286853b","target":"graph","created_at":"2026-07-05T09:33:53Z","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/2411.06909/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of detecting deviations from a white noise assumption in time series. Our approach differs from the numerous methods proposed for this purpose with respect to two aspects. First, we allow for non-stationary time series. Second, we address the problem that a white noise test, for example checking the residuals of a model fit, is usually not performed because one believes in this hypothesis, but thinks that the white noise hypothesis may be approximately true, because a postulated models describes the unknown relation well. This reflects a meanwhile classical paradigm of ","authors_text":"Patrick Bastian","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-11T12:11:37Z","title":"Detecting relevant deviations from the white noise assumption for non-stationary time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.06909","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:da4f97cff8cfa81b0db3738a185433a655cfe7687759b67bcfd164dfcc787b79","target":"record","created_at":"2026-07-05T09:33:53Z","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":"957ca53efad62e91ba560bf56b821757ef297600d43e47be0e0c2f99ba3b6009","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-11T12:11:37Z","title_canon_sha256":"2cc6594daaec32469054af55e6bfd593096d90c44da296e5fef7dad93f25992a"},"schema_version":"1.0","source":{"id":"2411.06909","kind":"arxiv","version":1}},"canonical_sha256":"6b84ee7a96cb2c6df9dc04d21f318076897c46a1b6b133103ee884358416f588","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b84ee7a96cb2c6df9dc04d21f318076897c46a1b6b133103ee884358416f588","first_computed_at":"2026-07-05T09:33:53.705762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:53.705762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2lIWA88d9IHhRpZza5vdFqDx30qku7wjHZRPftv1yw6gm8siRifEBYg6jgLQ40WPHRPyojkaRJUtkX8lRuE7Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:53.706155Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.06909","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da4f97cff8cfa81b0db3738a185433a655cfe7687759b67bcfd164dfcc787b79","sha256:4aec1db58dd286c5689243908112c18eb79a144df07a7c9082f9721f5286853b"],"state_sha256":"344d9a078a74a90530f8efea0b87b1042785f0bbaa7bdeaf4604db57c2dcf634"}