{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:W3YPN22EXSVGVVSNKDIVBGAQDQ","short_pith_number":"pith:W3YPN22E","schema_version":"1.0","canonical_sha256":"b6f0f6eb44bcaa6ad64d50d15098101c2a9dbb8e892eef125996f1a478a3e3e4","source":{"kind":"arxiv","id":"2606.20380","version":1},"attestation_state":"computed","paper":{"title":"Discrimination of genuinely nonlocal sets without entanglement in multipartite systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Huaqi Zhou, Limin Gao, Ziying Hou","submitted_at":"2026-06-18T15:39:14Z","abstract_excerpt":"Genuine nonlocality arises when a set of multipartite orthogonal states is locally indistinguishable under any bipartition of the subsystems. The entanglement-assisted discrimination of such genuinely nonlocal orthogonal product sets has attracted significant attention in quantum information. Based on the criterion of local irreducibility, genuine nonlocality is classified into Type I (reducible) and Type II (irreducible). We present entanglement-assisted discrimination schemes for both types of genuinely nonlocal sets that use minimal resources. For low-dimensional cases, Type I sets require "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.20380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-18T15:39:14Z","cross_cats_sorted":[],"title_canon_sha256":"1ad75cb871695a4c5416cf69cc5aad4fae40f3717188214f7ab0a247e8b8aaa2","abstract_canon_sha256":"3f411d05cc8f2dbce34fdcb6453ec4421c1c7675dec1bb30147996597b3701c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:13:10.903421Z","signature_b64":"3t+DLR/xTE+BMtEjgCBldvwt8qZcPjg2nCZanGeFHW/mBQBIHNd1kZ4FMFZ++Ws4WMUrCRJ7Lx+vt9FcOofgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6f0f6eb44bcaa6ad64d50d15098101c2a9dbb8e892eef125996f1a478a3e3e4","last_reissued_at":"2026-06-19T16:13:10.902981Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:13:10.902981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Discrimination of genuinely nonlocal sets without entanglement in multipartite systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Huaqi Zhou, Limin Gao, Ziying Hou","submitted_at":"2026-06-18T15:39:14Z","abstract_excerpt":"Genuine nonlocality arises when a set of multipartite orthogonal states is locally indistinguishable under any bipartition of the subsystems. The entanglement-assisted discrimination of such genuinely nonlocal orthogonal product sets has attracted significant attention in quantum information. Based on the criterion of local irreducibility, genuine nonlocality is classified into Type I (reducible) and Type II (irreducible). We present entanglement-assisted discrimination schemes for both types of genuinely nonlocal sets that use minimal resources. For low-dimensional cases, Type I sets require "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20380","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.20380/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.20380","created_at":"2026-06-19T16:13:10.903045+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.20380v1","created_at":"2026-06-19T16:13:10.903045+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20380","created_at":"2026-06-19T16:13:10.903045+00:00"},{"alias_kind":"pith_short_12","alias_value":"W3YPN22EXSVG","created_at":"2026-06-19T16:13:10.903045+00:00"},{"alias_kind":"pith_short_16","alias_value":"W3YPN22EXSVGVVSN","created_at":"2026-06-19T16:13:10.903045+00:00"},{"alias_kind":"pith_short_8","alias_value":"W3YPN22E","created_at":"2026-06-19T16:13:10.903045+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ","json":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ.json","graph_json":"https://pith.science/api/pith-number/W3YPN22EXSVGVVSNKDIVBGAQDQ/graph.json","events_json":"https://pith.science/api/pith-number/W3YPN22EXSVGVVSNKDIVBGAQDQ/events.json","paper":"https://pith.science/paper/W3YPN22E"},"agent_actions":{"view_html":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ","download_json":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ.json","view_paper":"https://pith.science/paper/W3YPN22E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.20380&json=true","fetch_graph":"https://pith.science/api/pith-number/W3YPN22EXSVGVVSNKDIVBGAQDQ/graph.json","fetch_events":"https://pith.science/api/pith-number/W3YPN22EXSVGVVSNKDIVBGAQDQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ/action/storage_attestation","attest_author":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ/action/author_attestation","sign_citation":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ/action/citation_signature","submit_replication":"https://pith.science/pith/W3YPN22EXSVGVVSNKDIVBGAQDQ/action/replication_record"}},"created_at":"2026-06-19T16:13:10.903045+00:00","updated_at":"2026-06-19T16:13:10.903045+00:00"}