{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2HLVUIIYGAIZITCHASPJY6ZUU3","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":"a5a7194f85aa0a47c2242b875430874aa4f59c61abf5e59af2f2d466934109cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-09-05T11:42:35Z","title_canon_sha256":"c7a180d2020adb70ba731485954173a754fc5b8527578100bd1387d807ee581f"},"schema_version":"1.0","source":{"id":"1909.02335","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.02335","created_at":"2026-07-05T01:47:28Z"},{"alias_kind":"arxiv_version","alias_value":"1909.02335v2","created_at":"2026-07-05T01:47:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.02335","created_at":"2026-07-05T01:47:28Z"},{"alias_kind":"pith_short_12","alias_value":"2HLVUIIYGAIZ","created_at":"2026-07-05T01:47:28Z"},{"alias_kind":"pith_short_16","alias_value":"2HLVUIIYGAIZITCH","created_at":"2026-07-05T01:47:28Z"},{"alias_kind":"pith_short_8","alias_value":"2HLVUIIY","created_at":"2026-07-05T01:47:28Z"}],"graph_snapshots":[{"event_id":"sha256:0732efb1f6f153b1e0611167334fc2186ca0e5b5d5b76538538ee16ac50341f2","target":"graph","created_at":"2026-07-05T01:47:28Z","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/1909.02335/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantifying entanglement for multipartite quantum state is a crucial task in many aspects of quantum information theory. Among all the entanglement measures, relative entropy of entanglement $E_{R}$ is an outstanding quantity due to its clear geometric meaning, easy compatibility with different system sizes, and various applications in many other related quantity calculations. Lower bounds of $E_R$ were previously found based on distance to the set of positive partial transpose states. We propose a method to calculate upper bounds of $E_R$ based on active learning, a subfield in machine learni","authors_text":"Bei Zeng, Chenfeng Cao, D. L. Zhou, Shi-yao Hou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-09-05T11:42:35Z","title":"Upper bounds for relative entropy of entanglement based on active learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.02335","kind":"arxiv","version":2},"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":"sha256:394b9c2ee590622b4b3a88684b740abb51e4eeb6bc1218372ef82540b6e6b700","target":"record","created_at":"2026-07-05T01:47:28Z","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":"a5a7194f85aa0a47c2242b875430874aa4f59c61abf5e59af2f2d466934109cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-09-05T11:42:35Z","title_canon_sha256":"c7a180d2020adb70ba731485954173a754fc5b8527578100bd1387d807ee581f"},"schema_version":"1.0","source":{"id":"1909.02335","kind":"arxiv","version":2}},"canonical_sha256":"d1d75a21183011944c47049e9c7b34a6d416791cc6ab158ad99352aff3e412b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1d75a21183011944c47049e9c7b34a6d416791cc6ab158ad99352aff3e412b7","first_computed_at":"2026-07-05T01:47:28.949911Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:47:28.949911Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/jcErdzMJN4CLt48wQAtp+iT2MHgxv8JtxtoecgE6HCqGB0F8ZitZolbPLEKQzccZitrNCZhIXAZ3qfPXuwFAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:47:28.950248Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.02335","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:394b9c2ee590622b4b3a88684b740abb51e4eeb6bc1218372ef82540b6e6b700","sha256:0732efb1f6f153b1e0611167334fc2186ca0e5b5d5b76538538ee16ac50341f2"],"state_sha256":"f554610e3e82b25ed118275dde099148724dd393a4ce29d2cbca8bf4ba1dffb7"}