{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:WZAE4PHE2FJYK5TVGW4C3CM3R7","short_pith_number":"pith:WZAE4PHE","schema_version":"1.0","canonical_sha256":"b6404e3ce4d15385767535b82d899b8fdfa56658f7c481a550e5212caeaa746f","source":{"kind":"arxiv","id":"quant-ph/0412109","version":5},"attestation_state":"computed","paper":{"title":"Entanglement and non-locality are different resources","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nicolas Brunner, Nicolas Gisin, Valerio Scarani","submitted_at":"2004-12-14T09:46:03Z","abstract_excerpt":"Bell's theorem states that, to simulate the correlations created by measurement on pure entangled quantum states, shared randomness is not enough: some \"non-local\" resources are required. It has been demonstrated recently that all projective measurements on the maximally entangled state of two qubits can be simulated with a single use of a \"non-local machine\". We prove that a strictly larger amount of this non-local resource is required for the simulation of pure non-maximally entangled states of two qubits $\\ket{\\psi(\\alpha)}= \\cos\\alpha\\ket{00}+\\sin\\alpha\\ket{11}$ with $0<\\alpha\\lesssim\\frac"},"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":"quant-ph/0412109","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2004-12-14T09:46:03Z","cross_cats_sorted":[],"title_canon_sha256":"27e994fb17806711b4c18973ee85534004edc70a3196e8280f1c8e86581b1500","abstract_canon_sha256":"1664eece0536db2e8b23ac49de256be4761db500924ea1c9e782d53185c9eb07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:51:07.579442Z","signature_b64":"OuKGI6ybtySLFYa8uQr8ERiRupNkUJY1I9GXjSZ54RHEWh07eHNwnQRXatX0IuZCVKt7UBg/6jo+V0onJaNZCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6404e3ce4d15385767535b82d899b8fdfa56658f7c481a550e5212caeaa746f","last_reissued_at":"2026-07-04T16:51:07.578999Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:51:07.578999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement and non-locality are different resources","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nicolas Brunner, Nicolas Gisin, Valerio Scarani","submitted_at":"2004-12-14T09:46:03Z","abstract_excerpt":"Bell's theorem states that, to simulate the correlations created by measurement on pure entangled quantum states, shared randomness is not enough: some \"non-local\" resources are required. It has been demonstrated recently that all projective measurements on the maximally entangled state of two qubits can be simulated with a single use of a \"non-local machine\". We prove that a strictly larger amount of this non-local resource is required for the simulation of pure non-maximally entangled states of two qubits $\\ket{\\psi(\\alpha)}= \\cos\\alpha\\ket{00}+\\sin\\alpha\\ket{11}$ with $0<\\alpha\\lesssim\\frac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0412109","kind":"arxiv","version":5},"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/quant-ph/0412109/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":"quant-ph/0412109","created_at":"2026-07-04T16:51:07.579075+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0412109v5","created_at":"2026-07-04T16:51:07.579075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0412109","created_at":"2026-07-04T16:51:07.579075+00:00"},{"alias_kind":"pith_short_12","alias_value":"WZAE4PHE2FJY","created_at":"2026-07-04T16:51:07.579075+00:00"},{"alias_kind":"pith_short_16","alias_value":"WZAE4PHE2FJYK5TV","created_at":"2026-07-04T16:51:07.579075+00:00"},{"alias_kind":"pith_short_8","alias_value":"WZAE4PHE","created_at":"2026-07-04T16:51:07.579075+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/WZAE4PHE2FJYK5TVGW4C3CM3R7","json":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7.json","graph_json":"https://pith.science/api/pith-number/WZAE4PHE2FJYK5TVGW4C3CM3R7/graph.json","events_json":"https://pith.science/api/pith-number/WZAE4PHE2FJYK5TVGW4C3CM3R7/events.json","paper":"https://pith.science/paper/WZAE4PHE"},"agent_actions":{"view_html":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7","download_json":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7.json","view_paper":"https://pith.science/paper/WZAE4PHE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0412109&json=true","fetch_graph":"https://pith.science/api/pith-number/WZAE4PHE2FJYK5TVGW4C3CM3R7/graph.json","fetch_events":"https://pith.science/api/pith-number/WZAE4PHE2FJYK5TVGW4C3CM3R7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7/action/storage_attestation","attest_author":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7/action/author_attestation","sign_citation":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7/action/citation_signature","submit_replication":"https://pith.science/pith/WZAE4PHE2FJYK5TVGW4C3CM3R7/action/replication_record"}},"created_at":"2026-07-04T16:51:07.579075+00:00","updated_at":"2026-07-04T16:51:07.579075+00:00"}