{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:B5Y4BON466GBGXKSEVM6PLMLMB","short_pith_number":"pith:B5Y4BON4","schema_version":"1.0","canonical_sha256":"0f71c0b9bcf78c135d522559e7ad8b60498ba08c3c9aad6b09849c65d886ab82","source":{"kind":"arxiv","id":"2607.13006","version":1},"attestation_state":"computed","paper":{"title":"The Spectrum Is Not Enough: When Context Helps Time-Series Forecasting","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Hasan Kurban, Mehmet Dalkilic, Mert Onur Cakiroglu","submitted_at":"2026-07-14T17:50:28Z","abstract_excerpt":"A growing family of indices scores how predictable a series is from its spectrum. Practitioners increasingly read these scores as answering a different question: whether \\emph{adding context}, a longer lookback, a retrieval plug-in, or a pretrained model, will help. These are not the same question. The value of context is a property of the operating point, not of the series. Any index built from the power spectrum is invariant under phase randomization, whereas the beyond-second-order value that retrieval and foundation models supply is not, because a phase-randomized series is asymptotically "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.13006","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-07-14T17:50:28Z","cross_cats_sorted":[],"title_canon_sha256":"af4624852f590936fe3dae0816233c407f2b5aa7c11280fa6107f76c944a0e02","abstract_canon_sha256":"5e6340924b3b6de5534ade79aa0e1ac44bc0a67e5f2f3b56f7452a329060971b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-15T01:22:30.924087Z","signature_b64":"sLh52sNdkcmWZoEOlMrRwsZvOiKvFPJZ8XWRgDTNQYNw26LWG5CBHfuH6WkouDw4sA/8Ka7qhe9Sa5POHooyBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f71c0b9bcf78c135d522559e7ad8b60498ba08c3c9aad6b09849c65d886ab82","last_reissued_at":"2026-07-15T01:22:30.923234Z","signature_status":"signed_v1","first_computed_at":"2026-07-15T01:22:30.923234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Spectrum Is Not Enough: When Context Helps Time-Series Forecasting","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Hasan Kurban, Mehmet Dalkilic, Mert Onur Cakiroglu","submitted_at":"2026-07-14T17:50:28Z","abstract_excerpt":"A growing family of indices scores how predictable a series is from its spectrum. Practitioners increasingly read these scores as answering a different question: whether \\emph{adding context}, a longer lookback, a retrieval plug-in, or a pretrained model, will help. These are not the same question. The value of context is a property of the operating point, not of the series. Any index built from the power spectrum is invariant under phase randomization, whereas the beyond-second-order value that retrieval and foundation models supply is not, because a phase-randomized series is asymptotically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13006","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.13006/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.13006","created_at":"2026-07-15T01:22:30.923683+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.13006v1","created_at":"2026-07-15T01:22:30.923683+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13006","created_at":"2026-07-15T01:22:30.923683+00:00"},{"alias_kind":"pith_short_12","alias_value":"B5Y4BON466GB","created_at":"2026-07-15T01:22:30.923683+00:00"},{"alias_kind":"pith_short_16","alias_value":"B5Y4BON466GBGXKS","created_at":"2026-07-15T01:22:30.923683+00:00"},{"alias_kind":"pith_short_8","alias_value":"B5Y4BON4","created_at":"2026-07-15T01:22:30.923683+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB","json":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB.json","graph_json":"https://pith.science/api/pith-number/B5Y4BON466GBGXKSEVM6PLMLMB/graph.json","events_json":"https://pith.science/api/pith-number/B5Y4BON466GBGXKSEVM6PLMLMB/events.json","paper":"https://pith.science/paper/B5Y4BON4"},"agent_actions":{"view_html":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB","download_json":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB.json","view_paper":"https://pith.science/paper/B5Y4BON4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.13006&json=true","fetch_graph":"https://pith.science/api/pith-number/B5Y4BON466GBGXKSEVM6PLMLMB/graph.json","fetch_events":"https://pith.science/api/pith-number/B5Y4BON466GBGXKSEVM6PLMLMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB/action/storage_attestation","attest_author":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB/action/author_attestation","sign_citation":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB/action/citation_signature","submit_replication":"https://pith.science/pith/B5Y4BON466GBGXKSEVM6PLMLMB/action/replication_record"}},"created_at":"2026-07-15T01:22:30.923683+00:00","updated_at":"2026-07-15T01:22:30.923683+00:00"}