{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SCZHA2MNGZ7G22FWG2G6ZAL63N","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":"d6653e5aaac143ac4ab1eca9b356b343a31339f97f1cda6a6ff0bfa3cc3a58a0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-02-21T02:57:46Z","title_canon_sha256":"26dd0d7cf41dc2649f41ec1cc1c0e379cc41d96839ca33d892f22d7ad4dae44f"},"schema_version":"1.0","source":{"id":"2402.13489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.13489","created_at":"2026-07-05T07:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"2402.13489v1","created_at":"2026-07-05T07:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.13489","created_at":"2026-07-05T07:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"SCZHA2MNGZ7G","created_at":"2026-07-05T07:48:53Z"},{"alias_kind":"pith_short_16","alias_value":"SCZHA2MNGZ7G22FW","created_at":"2026-07-05T07:48:53Z"},{"alias_kind":"pith_short_8","alias_value":"SCZHA2MN","created_at":"2026-07-05T07:48:53Z"}],"graph_snapshots":[{"event_id":"sha256:e87db16097b1866b3e79b23e6037cfe27d8d5038a5feac342b5b5bf0757b4f49","target":"graph","created_at":"2026-07-05T07:48:53Z","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/2402.13489/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Local unitary equivalence is an important ingredient for quantifying and classifying entanglement. Verifying whether or not two quantum states are local unitary equivalent is a crucial problem, where only the case of multipartite pure states is solved. For mixed states, however, the verification of local unitary equivalence is still a challenging problem. In this paper, based on the coefficient matrices of generalized Bloch representations of quantum states, we find a variety of local unitary invariants for arbitrary-dimensional bipartite quantum states. These invariants are operational and ca","authors_text":"Kai Chen, Li Li, Nai-Le Liu, Qing Zhou, Shao-Ming Fei, Shuai Zhao, Wen-Li Yang, Xin-Yu Xu, Yi-Zheng Zhen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-02-21T02:57:46Z","title":"Local unitary equivalence of arbitrary-dimensional multipartite quantum states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.13489","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:bb5ce32f0f16b2bd8581340cddb7728626c125538bf1408c06ac0e2e94141c71","target":"record","created_at":"2026-07-05T07:48:53Z","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":"d6653e5aaac143ac4ab1eca9b356b343a31339f97f1cda6a6ff0bfa3cc3a58a0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-02-21T02:57:46Z","title_canon_sha256":"26dd0d7cf41dc2649f41ec1cc1c0e379cc41d96839ca33d892f22d7ad4dae44f"},"schema_version":"1.0","source":{"id":"2402.13489","kind":"arxiv","version":1}},"canonical_sha256":"90b270698d367e6d68b6368dec817edb5631e9546d2a5debd13dfb4592bdd1f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90b270698d367e6d68b6368dec817edb5631e9546d2a5debd13dfb4592bdd1f5","first_computed_at":"2026-07-05T07:48:53.396467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:48:53.396467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YHMdTSkQxf1gg02wnhuUCQOO9vjbRTV0EmeTYcTm4HGBQdNBZ93JX/s/e4uVgrE9s9N68Aq3h7hYzYCyZJrkBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:48:53.396957Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.13489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb5ce32f0f16b2bd8581340cddb7728626c125538bf1408c06ac0e2e94141c71","sha256:e87db16097b1866b3e79b23e6037cfe27d8d5038a5feac342b5b5bf0757b4f49"],"state_sha256":"08c0d7bcd02432ddd511c621e74419e06579c423f79826095e2b8c7cfd4edc75"}