{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Y2JY5GCBM547K2Y7MFEFPJ4SND","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":"65063089925dddbdeb8befca8952f41216b21aec0b4a3ad840191e0e7f486d6f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2023-10-27T13:19:45Z","title_canon_sha256":"5d85bf4da944f9cde793c33364971e5acf6870c86dae75167150bdc8e4737cb7"},"schema_version":"1.0","source":{"id":"2310.18128","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.18128","created_at":"2026-07-05T07:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"2310.18128v3","created_at":"2026-07-05T07:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.18128","created_at":"2026-07-05T07:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"Y2JY5GCBM547","created_at":"2026-07-05T07:12:00Z"},{"alias_kind":"pith_short_16","alias_value":"Y2JY5GCBM547K2Y7","created_at":"2026-07-05T07:12:00Z"},{"alias_kind":"pith_short_8","alias_value":"Y2JY5GCB","created_at":"2026-07-05T07:12:00Z"}],"graph_snapshots":[{"event_id":"sha256:fec0145689e5ec158bb7cdd0a900a60e080974dfc6583f071064c0e2ab851686","target":"graph","created_at":"2026-07-05T07:12:00Z","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/2310.18128/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Dynamic Time Warping (DTW) distance is a popular similarity measure for polygonal curves (i.e., sequences of points). It finds many theoretical and practical applications, especially for temporal data, and is known to be a robust, outlier-insensitive alternative to the \\frechet distance. For static curves of at most $n$ points, the DTW distance can be computed in $O(n^2)$ time in constant dimension. This tightly matches a SETH-based lower bound, even for curves in $\\mathbb{R}^1$.\n  In this work, we study \\emph{dynamic} algorithms for the DTW distance. Here, the goal is to design a data str","authors_text":"Evangelos Kipouridis, Eva Rotenberg, Ivor van der Hoog, Karl Bringmann, Nick Fischer, Tomasz Kociumaka","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2023-10-27T13:19:45Z","title":"Dynamic Dynamic Time Warping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.18128","kind":"arxiv","version":3},"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":"sha256:6aa1fceb624b8a0a0947b60914a42ea0e0d716fc0c80edb5a1c79773af2f1afc","target":"record","created_at":"2026-07-05T07:12:00Z","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":"65063089925dddbdeb8befca8952f41216b21aec0b4a3ad840191e0e7f486d6f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CG","submitted_at":"2023-10-27T13:19:45Z","title_canon_sha256":"5d85bf4da944f9cde793c33364971e5acf6870c86dae75167150bdc8e4737cb7"},"schema_version":"1.0","source":{"id":"2310.18128","kind":"arxiv","version":3}},"canonical_sha256":"c6938e98416779f56b1f614857a79268c4e04ae8f0621650a048a69f5800e451","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6938e98416779f56b1f614857a79268c4e04ae8f0621650a048a69f5800e451","first_computed_at":"2026-07-05T07:12:00.769436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:12:00.769436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1VHLeclPQkVBPWEYMDT2w3t4ovKiZ9hhR92dOHfOBJMSjFRa1NwB2omsFAtBr2ED07ZwiO+eVeI/BQHXeONMDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:12:00.769887Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.18128","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aa1fceb624b8a0a0947b60914a42ea0e0d716fc0c80edb5a1c79773af2f1afc","sha256:fec0145689e5ec158bb7cdd0a900a60e080974dfc6583f071064c0e2ab851686"],"state_sha256":"a78615ef20dbc0d992bf96c7aa7220931d345a0d9b83e89e448a940594409079"}