{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BRMO67KDBOGSL3RUQ5KALBADFA","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":"862d6738e9bb9f76a39de002dbcddb428d18af8385c66ce1af0a5d18d2f6c6ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-23T02:52:12Z","title_canon_sha256":"24f0d215be9a7a01adb63f9eb3f7a5624c4c77abadc921fd8314063874d640b0"},"schema_version":"1.0","source":{"id":"2605.24360","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.24360","created_at":"2026-05-26T01:03:01Z"},{"alias_kind":"arxiv_version","alias_value":"2605.24360v1","created_at":"2026-05-26T01:03:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.24360","created_at":"2026-05-26T01:03:01Z"},{"alias_kind":"pith_short_12","alias_value":"BRMO67KDBOGS","created_at":"2026-05-26T01:03:01Z"},{"alias_kind":"pith_short_16","alias_value":"BRMO67KDBOGSL3RU","created_at":"2026-05-26T01:03:01Z"},{"alias_kind":"pith_short_8","alias_value":"BRMO67KD","created_at":"2026-05-26T01:03:01Z"}],"graph_snapshots":[{"event_id":"sha256:10f2ceee8897ba5a21263fab01adbe1d8b12d8aa231bf783aaaaed63005a2bcc","target":"graph","created_at":"2026-05-26T01:03:01Z","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/2605.24360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the effectiveness of entanglement detection based on multiple fidelities via the geometry of the joint separable numerical range. When all reference states are product states, we derive a necessary and sufficient criterion for such detection: either some pair of reference states has nontrivial moduli of the local inner products on both subsystems, or the orthogonal complement of the span of the reference states is completely entangled. We further show that there exist sets of reference product states for which no proper subset is effective for entanglement detection, whereas the","authors_text":"Bang-Hai Wang, Pei Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-23T02:52:12Z","title":"Multiple fidelities and joint numerical range"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.24360","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":"sha256:914bdecc05f6f9563be84fde73c486988639228c4f327fdbf6314285c64afc8e","target":"record","created_at":"2026-05-26T01:03:01Z","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":"862d6738e9bb9f76a39de002dbcddb428d18af8385c66ce1af0a5d18d2f6c6ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-23T02:52:12Z","title_canon_sha256":"24f0d215be9a7a01adb63f9eb3f7a5624c4c77abadc921fd8314063874d640b0"},"schema_version":"1.0","source":{"id":"2605.24360","kind":"arxiv","version":1}},"canonical_sha256":"0c58ef7d430b8d25ee348754058403283609c63ca24a01edb533efb92a6c8ac0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c58ef7d430b8d25ee348754058403283609c63ca24a01edb533efb92a6c8ac0","first_computed_at":"2026-05-26T01:03:01.809548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:01.809548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kuSy2YIM1Aq6noNkuq6kPRiEz8JFlTUTcDUTUSrKAmkEJ9q01Xc898F3LxSAWN+qYlVp2IzzU9BIPN6ntCzAAg==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:01.810239Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.24360","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:914bdecc05f6f9563be84fde73c486988639228c4f327fdbf6314285c64afc8e","sha256:10f2ceee8897ba5a21263fab01adbe1d8b12d8aa231bf783aaaaed63005a2bcc"],"state_sha256":"0e8a8bd70b91c6ebef7cf4374073f59fb24bbe917378c03cca4e40facca4d07c"}