{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OHT2IV57V3PKA7C6QVYNNLOX6J","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":"364f9fff8d479d6e61554ad155c216a67ba106fbfc669fee0f96fa11de5fa709","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T07:58:37Z","title_canon_sha256":"22ef41083b803f1a0546b9c2d00ef013caf2d0c15aea088b3cbf1a42fb95cf1e"},"schema_version":"1.0","source":{"id":"2606.27815","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27815","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27815v1","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27815","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"OHT2IV57V3PK","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"pith_short_16","alias_value":"OHT2IV57V3PKA7C6","created_at":"2026-06-29T01:14:49Z"},{"alias_kind":"pith_short_8","alias_value":"OHT2IV57","created_at":"2026-06-29T01:14:49Z"}],"graph_snapshots":[{"event_id":"sha256:eb2a2016701c75ae4ffd9349db8643d71d0602432eb6740440fb9bcc27076a57","target":"graph","created_at":"2026-06-29T01:14:49Z","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/2606.27815/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Dynamic Time Warping (DTW) is a cornerstone for time series classification, but its reliance on Euclidean distances fails to capture latent cross-channel correlations in complex multivariate data. We propose a hybrid Quantum Dynamic Time Warping (qDTW) architecture, replacing the classical distance metric with the parameterized geometry of a quantum Hilbert space. Through structural ablation on benchmarks up to $C=8$ spatial dimensions, we establish fundamental topological rules for quantum sequence alignment.\n  We introduce a Unified Pre-Embedding Adjoint Ansatz that decouples trainable entan","authors_text":"Alejandro Mayorga-Redondo, Diego Alvarez-Estevez, Eduardo Mosqueira-Rey","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T07:58:37Z","title":"Quantum Dynamic Time Warping for Multivariate Time Series Classification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27815","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":"sha256:7fd9bf6ac4b4aceff06f5cf7e6bb893559f7f1dc68ec42b2e3ebaf74fc69806b","target":"record","created_at":"2026-06-29T01:14:49Z","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":"364f9fff8d479d6e61554ad155c216a67ba106fbfc669fee0f96fa11de5fa709","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-26T07:58:37Z","title_canon_sha256":"22ef41083b803f1a0546b9c2d00ef013caf2d0c15aea088b3cbf1a42fb95cf1e"},"schema_version":"1.0","source":{"id":"2606.27815","kind":"arxiv","version":1}},"canonical_sha256":"71e7a457bfaedea07c5e8570d6add7f250b9a372b09e25517bb7cdf7177d85e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71e7a457bfaedea07c5e8570d6add7f250b9a372b09e25517bb7cdf7177d85e6","first_computed_at":"2026-06-29T01:14:49.275927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:14:49.275927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rzXjtn/Riy4D9tAQ7llkBXKyC14nnFYTYyDrIzw8qdDPBYWp5xKNy2MtUIXZOjtMCxJgtz2zCgx6USO9HTIVAg==","signature_status":"signed_v1","signed_at":"2026-06-29T01:14:49.276360Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27815","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fd9bf6ac4b4aceff06f5cf7e6bb893559f7f1dc68ec42b2e3ebaf74fc69806b","sha256:eb2a2016701c75ae4ffd9349db8643d71d0602432eb6740440fb9bcc27076a57"],"state_sha256":"77f3261e9f62cf56459b109336e838447db7889608307c6c6ef49a94708c23b2"}