{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:CYBS5ROE72O5NAUYMLXJRLPH5N","short_pith_number":"pith:CYBS5ROE","canonical_record":{"source":{"id":"2607.18050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-20T15:20:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ece43795b7a1bbe67bf1cb92891d70a55123cce88aff3cdef3a7f7c546167575","abstract_canon_sha256":"a2e5cb57c32866e5716a343e43c575802d41eba3431ec717410a138eeed61b8f"},"schema_version":"1.0"},"canonical_sha256":"16032ec5c4fe9dd6829862ee98ade7eb57bd3c03beb23cb91e75a583322555fd","source":{"kind":"arxiv","id":"2607.18050","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.18050","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"2607.18050v1","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18050","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"CYBS5ROE72O5","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"pith_short_16","alias_value":"CYBS5ROE72O5NAUY","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"pith_short_8","alias_value":"CYBS5ROE","created_at":"2026-07-21T02:22:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:CYBS5ROE72O5NAUYMLXJRLPH5N","target":"record","payload":{"canonical_record":{"source":{"id":"2607.18050","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-20T15:20:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ece43795b7a1bbe67bf1cb92891d70a55123cce88aff3cdef3a7f7c546167575","abstract_canon_sha256":"a2e5cb57c32866e5716a343e43c575802d41eba3431ec717410a138eeed61b8f"},"schema_version":"1.0"},"canonical_sha256":"16032ec5c4fe9dd6829862ee98ade7eb57bd3c03beb23cb91e75a583322555fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T02:22:13.501728Z","signature_b64":"9xDBg3K4aYZSU6emjkizrWT3YNGZHjHuvkWnEeTpOvqWJc3ihJI9Y1SqsbBPBLW+tqnW5X7O/904oSPyT132Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16032ec5c4fe9dd6829862ee98ade7eb57bd3c03beb23cb91e75a583322555fd","last_reissued_at":"2026-07-21T02:22:13.500892Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T02:22:13.500892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.18050","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T02:22:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdS/5TjVkDivDVKvc68jvY/POkJ9jGbepYQUaS3IiSDSAg/HkTUPJztGeIlTSIsneyASg2q8VV16eODyKLIADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T08:40:14.694599Z"},"content_sha256":"eb1904d68303169bf015a2fa9bfe9b5aa332863de4cc371b53f3aa4d74128165","schema_version":"1.0","event_id":"sha256:eb1904d68303169bf015a2fa9bfe9b5aa332863de4cc371b53f3aa4d74128165"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:CYBS5ROE72O5NAUYMLXJRLPH5N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New bound on $S_{1}\\times S_{2}$-setting Bell locality of a nonseparable Werner state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Elena R. Loubenets","submitted_at":"2026-07-20T15:20:10Z","abstract_excerpt":"In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers $S_{1},S_{2}\\geq1$ of generalized quantum measurements at two sites. In the present article, we find analytically a new general condition sufficient for a nonseparable Werner state with a dimension $d\\leq\\min\\{S_{1},S_{2}\\}$ to satisfy all Bell inequalities under every $S_{1}\\times S_{2}$-setting correlation scenario with outcomes of an arbitrary spectral type, discrete or continuous $-$ that is, to be $S_{1}\\times S_{2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18050","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/2607.18050/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-21T02:22:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KBk6Oj/5wwB1Bz01tjSEF9yjglh+fvJeI5ETTtXjgmZz48MhJNIeuvF8YY7xufnst0n9GMwnv9/80ZhY+DusAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T08:40:14.695117Z"},"content_sha256":"120546bdc196102c33351f5698a9aa89d28e409203c3f279830d93a1bef786c6","schema_version":"1.0","event_id":"sha256:120546bdc196102c33351f5698a9aa89d28e409203c3f279830d93a1bef786c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CYBS5ROE72O5NAUYMLXJRLPH5N/bundle.json","state_url":"https://pith.science/pith/CYBS5ROE72O5NAUYMLXJRLPH5N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CYBS5ROE72O5NAUYMLXJRLPH5N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T08:40:14Z","links":{"resolver":"https://pith.science/pith/CYBS5ROE72O5NAUYMLXJRLPH5N","bundle":"https://pith.science/pith/CYBS5ROE72O5NAUYMLXJRLPH5N/bundle.json","state":"https://pith.science/pith/CYBS5ROE72O5NAUYMLXJRLPH5N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CYBS5ROE72O5NAUYMLXJRLPH5N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CYBS5ROE72O5NAUYMLXJRLPH5N","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":"a2e5cb57c32866e5716a343e43c575802d41eba3431ec717410a138eeed61b8f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-20T15:20:10Z","title_canon_sha256":"ece43795b7a1bbe67bf1cb92891d70a55123cce88aff3cdef3a7f7c546167575"},"schema_version":"1.0","source":{"id":"2607.18050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.18050","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"2607.18050v1","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18050","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"CYBS5ROE72O5","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"pith_short_16","alias_value":"CYBS5ROE72O5NAUY","created_at":"2026-07-21T02:22:13Z"},{"alias_kind":"pith_short_8","alias_value":"CYBS5ROE","created_at":"2026-07-21T02:22:13Z"}],"graph_snapshots":[{"event_id":"sha256:120546bdc196102c33351f5698a9aa89d28e409203c3f279830d93a1bef786c6","target":"graph","created_at":"2026-07-21T02:22:13Z","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/2607.18050/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers $S_{1},S_{2}\\geq1$ of generalized quantum measurements at two sites. In the present article, we find analytically a new general condition sufficient for a nonseparable Werner state with a dimension $d\\leq\\min\\{S_{1},S_{2}\\}$ to satisfy all Bell inequalities under every $S_{1}\\times S_{2}$-setting correlation scenario with outcomes of an arbitrary spectral type, discrete or continuous $-$ that is, to be $S_{1}\\times S_{2","authors_text":"Elena R. Loubenets","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-20T15:20:10Z","title":"New bound on $S_{1}\\times S_{2}$-setting Bell locality of a nonseparable Werner state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18050","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:eb1904d68303169bf015a2fa9bfe9b5aa332863de4cc371b53f3aa4d74128165","target":"record","created_at":"2026-07-21T02:22:13Z","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":"a2e5cb57c32866e5716a343e43c575802d41eba3431ec717410a138eeed61b8f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-20T15:20:10Z","title_canon_sha256":"ece43795b7a1bbe67bf1cb92891d70a55123cce88aff3cdef3a7f7c546167575"},"schema_version":"1.0","source":{"id":"2607.18050","kind":"arxiv","version":1}},"canonical_sha256":"16032ec5c4fe9dd6829862ee98ade7eb57bd3c03beb23cb91e75a583322555fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16032ec5c4fe9dd6829862ee98ade7eb57bd3c03beb23cb91e75a583322555fd","first_computed_at":"2026-07-21T02:22:13.500892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T02:22:13.500892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9xDBg3K4aYZSU6emjkizrWT3YNGZHjHuvkWnEeTpOvqWJc3ihJI9Y1SqsbBPBLW+tqnW5X7O/904oSPyT132Cw==","signature_status":"signed_v1","signed_at":"2026-07-21T02:22:13.501728Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.18050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb1904d68303169bf015a2fa9bfe9b5aa332863de4cc371b53f3aa4d74128165","sha256:120546bdc196102c33351f5698a9aa89d28e409203c3f279830d93a1bef786c6"],"state_sha256":"ab91d5aff89ef6ad7577bb2842b2e44bc9e6cf1ac8267899adfec1e25f5fc8f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pKcvvO20A70foecJjSwjUqmhkkBU+X6kWY0LuMQmffxQM/hoQL14gMpE3TjIRY+NG8AUAH13h265J0AnFf/QCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T08:40:14.700191Z","bundle_sha256":"d20f9db54c67fd615b944bedc94ca5491813512c00bd3cbc889e9765eeaaee40"}}