{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FWHV2GLQGBTKSOIOMLWGNT66C6","short_pith_number":"pith:FWHV2GLQ","canonical_record":{"source":{"id":"1308.3287","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-08-15T02:03:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"caa49be7f19d4aa4c3567d25ec79cbbaed69befa84691bd565e65a8d302eaf07","abstract_canon_sha256":"7f2e077b738cc5b3db5cd379a379d2cfc25da4622440f23440d6ba5a4b57b48a"},"schema_version":"1.0"},"canonical_sha256":"2d8f5d19703066a9390e62ec66cfde17955d6ec78264d2101a5262dcb99c1da6","source":{"kind":"arxiv","id":"1308.3287","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3287","created_at":"2026-05-18T03:15:55Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3287v1","created_at":"2026-05-18T03:15:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3287","created_at":"2026-05-18T03:15:55Z"},{"alias_kind":"pith_short_12","alias_value":"FWHV2GLQGBTK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FWHV2GLQGBTKSOIO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FWHV2GLQ","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FWHV2GLQGBTKSOIOMLWGNT66C6","target":"record","payload":{"canonical_record":{"source":{"id":"1308.3287","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-08-15T02:03:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"caa49be7f19d4aa4c3567d25ec79cbbaed69befa84691bd565e65a8d302eaf07","abstract_canon_sha256":"7f2e077b738cc5b3db5cd379a379d2cfc25da4622440f23440d6ba5a4b57b48a"},"schema_version":"1.0"},"canonical_sha256":"2d8f5d19703066a9390e62ec66cfde17955d6ec78264d2101a5262dcb99c1da6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:55.195351Z","signature_b64":"kFg5im06fsP5A96OAQepPFW1Z1QFkJAAsEiywHzUavbmAjKI7WD+BdOTDZchghNBUXAQFfSORtbMFlmLrtEuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d8f5d19703066a9390e62ec66cfde17955d6ec78264d2101a5262dcb99c1da6","last_reissued_at":"2026-05-18T03:15:55.194595Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:55.194595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.3287","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":"2026-05-18T03:15:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HdrIaSH90I6FJ8gSnpeNtVY2OIGYyirabP6JwtVs7E/k3u5xxS++cvvY12NSTlWbxOvOLKPxuJRZl0PLrUdOAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T05:22:58.531762Z"},"content_sha256":"d23011259a0b5e190efd0de813d731815a44db70a21161812743aaa93eeaaeea","schema_version":"1.0","event_id":"sha256:d23011259a0b5e190efd0de813d731815a44db70a21161812743aaa93eeaaeea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FWHV2GLQGBTKSOIOMLWGNT66C6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The CHSH-type inequalities for infinite-dimensional quantum systems","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Yu Guo","submitted_at":"2013-08-15T02:03:53Z","abstract_excerpt":"By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a $2\\otimes2$ subspace. We find that, for infinite-dimensional systems, the corresponding properties are similar to that of the two-qubit case: (i) The CHSH-type inequalities provide a sufficient and necessary condition for separability of pure states; (ii) The CHSH operators satisfy the Cirel'son inequalities; (iii) Any state which violates one of these Bell inequalities is distillable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3287","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":""},"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":"2026-05-18T03:15:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ev4prNxrMEnOAKXfBxy++EWcihOEG0TIz+6WHwTWjyiZLwE02qiUC23NZqEZY0GT8TPAuSbLuICfF49+yWpsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T05:22:58.532476Z"},"content_sha256":"84a66fccac81ffdef8c74da758a742f6f79919eab216c9d23ef1d1dba631652e","schema_version":"1.0","event_id":"sha256:84a66fccac81ffdef8c74da758a742f6f79919eab216c9d23ef1d1dba631652e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWHV2GLQGBTKSOIOMLWGNT66C6/bundle.json","state_url":"https://pith.science/pith/FWHV2GLQGBTKSOIOMLWGNT66C6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWHV2GLQGBTKSOIOMLWGNT66C6/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":"2026-05-25T05:22:58Z","links":{"resolver":"https://pith.science/pith/FWHV2GLQGBTKSOIOMLWGNT66C6","bundle":"https://pith.science/pith/FWHV2GLQGBTKSOIOMLWGNT66C6/bundle.json","state":"https://pith.science/pith/FWHV2GLQGBTKSOIOMLWGNT66C6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWHV2GLQGBTKSOIOMLWGNT66C6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FWHV2GLQGBTKSOIOMLWGNT66C6","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":"7f2e077b738cc5b3db5cd379a379d2cfc25da4622440f23440d6ba5a4b57b48a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-08-15T02:03:53Z","title_canon_sha256":"caa49be7f19d4aa4c3567d25ec79cbbaed69befa84691bd565e65a8d302eaf07"},"schema_version":"1.0","source":{"id":"1308.3287","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3287","created_at":"2026-05-18T03:15:55Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3287v1","created_at":"2026-05-18T03:15:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3287","created_at":"2026-05-18T03:15:55Z"},{"alias_kind":"pith_short_12","alias_value":"FWHV2GLQGBTK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FWHV2GLQGBTKSOIO","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FWHV2GLQ","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:84a66fccac81ffdef8c74da758a742f6f79919eab216c9d23ef1d1dba631652e","target":"graph","created_at":"2026-05-18T03:15:55Z","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"},"paper":{"abstract_excerpt":"By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a $2\\otimes2$ subspace. We find that, for infinite-dimensional systems, the corresponding properties are similar to that of the two-qubit case: (i) The CHSH-type inequalities provide a sufficient and necessary condition for separability of pure states; (ii) The CHSH operators satisfy the Cirel'son inequalities; (iii) Any state which violates one of these Bell inequalities is distillable.","authors_text":"Yu Guo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-08-15T02:03:53Z","title":"The CHSH-type inequalities for infinite-dimensional quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3287","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:d23011259a0b5e190efd0de813d731815a44db70a21161812743aaa93eeaaeea","target":"record","created_at":"2026-05-18T03:15:55Z","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":"7f2e077b738cc5b3db5cd379a379d2cfc25da4622440f23440d6ba5a4b57b48a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2013-08-15T02:03:53Z","title_canon_sha256":"caa49be7f19d4aa4c3567d25ec79cbbaed69befa84691bd565e65a8d302eaf07"},"schema_version":"1.0","source":{"id":"1308.3287","kind":"arxiv","version":1}},"canonical_sha256":"2d8f5d19703066a9390e62ec66cfde17955d6ec78264d2101a5262dcb99c1da6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d8f5d19703066a9390e62ec66cfde17955d6ec78264d2101a5262dcb99c1da6","first_computed_at":"2026-05-18T03:15:55.194595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:55.194595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kFg5im06fsP5A96OAQepPFW1Z1QFkJAAsEiywHzUavbmAjKI7WD+BdOTDZchghNBUXAQFfSORtbMFlmLrtEuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:55.195351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3287","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d23011259a0b5e190efd0de813d731815a44db70a21161812743aaa93eeaaeea","sha256:84a66fccac81ffdef8c74da758a742f6f79919eab216c9d23ef1d1dba631652e"],"state_sha256":"7be5a7e3144e6f26c103ff17589ffa536c316d308dc9df325bb9cea8550e2432"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ugF/yk+C3bXzFr6aCfeMoozulKwpbI+PSEBYebp0YvHtQJT+ycMAJWq1rrn62plrb5BSXXqdwGZ0nB40g1WIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T05:22:58.536433Z","bundle_sha256":"30243e1c3cc5800610a1584193e2085cb1fa5928420892d3bdf8aa865e9b5598"}}