{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:5Q343I33TSL6PU3MQVNS6PXTBN","short_pith_number":"pith:5Q343I33","schema_version":"1.0","canonical_sha256":"ec37cda37b9c97e7d36c855b2f3ef30b67285827412436214f346b3c96175028","source":{"kind":"arxiv","id":"1609.06114","version":4},"attestation_state":"computed","paper":{"title":"Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant $K_G(3)$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"quant-ph","authors_text":"Flavien Hirsch, Marco T\\'ulio Quintino, Miguel Navascu\\'es, Nicolas Brunner, Tam\\'as V\\'ertesi","submitted_at":"2016-09-20T11:42:24Z","abstract_excerpt":"We consider the problem of reproducing the correlations obtained by arbitrary local projective measurements on the two-qubit Werner state $\\rho = v |\\psi_- > <\\psi_- | + (1- v ) \\frac{1}{4}$ via a local hidden variable (LHV) model, where $|\\psi_- >$ denotes the singlet state. We show analytically that these correlations are local for $ v = 999\\times689\\times{10^{-6}}$ $\\cos^4(\\pi/50) \\simeq 0.6829$. In turn, as this problem is closely related to a purely mathematical one formulated by Grothendieck, our result implies a new bound on the Grothendieck constant $K_G(3) \\leq 1/v \\simeq 1.4644$. We "},"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":"1609.06114","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-20T11:42:24Z","cross_cats_sorted":["math-ph","math.FA","math.MP"],"title_canon_sha256":"bb428881fccdfe97c568840f3d5cdc9820c8c1ff5b50d5581b0d5d340c6de9ff","abstract_canon_sha256":"6b5356bedb714bd892de038af1252eee94709439904e115b48b58c692f6dccca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:01.506757Z","signature_b64":"8eHk2nUSLyWgAiqDDyfNK8OqWH82DKG+J+eksR3//XUj7bgc5rI5lp2/Kjx3NnGxIk/yFwgLqxqJBMv/B986AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec37cda37b9c97e7d36c855b2f3ef30b67285827412436214f346b3c96175028","last_reissued_at":"2026-05-18T00:45:01.506216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:01.506216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant $K_G(3)$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.FA","math.MP"],"primary_cat":"quant-ph","authors_text":"Flavien Hirsch, Marco T\\'ulio Quintino, Miguel Navascu\\'es, Nicolas Brunner, Tam\\'as V\\'ertesi","submitted_at":"2016-09-20T11:42:24Z","abstract_excerpt":"We consider the problem of reproducing the correlations obtained by arbitrary local projective measurements on the two-qubit Werner state $\\rho = v |\\psi_- > <\\psi_- | + (1- v ) \\frac{1}{4}$ via a local hidden variable (LHV) model, where $|\\psi_- >$ denotes the singlet state. We show analytically that these correlations are local for $ v = 999\\times689\\times{10^{-6}}$ $\\cos^4(\\pi/50) \\simeq 0.6829$. In turn, as this problem is closely related to a purely mathematical one formulated by Grothendieck, our result implies a new bound on the Grothendieck constant $K_G(3) \\leq 1/v \\simeq 1.4644$. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06114","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.06114","created_at":"2026-05-18T00:45:01.506309+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.06114v4","created_at":"2026-05-18T00:45:01.506309+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06114","created_at":"2026-05-18T00:45:01.506309+00:00"},{"alias_kind":"pith_short_12","alias_value":"5Q343I33TSL6","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"5Q343I33TSL6PU3M","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"5Q343I33","created_at":"2026-05-18T12:30:01.593930+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.12886","citing_title":"Can outcome communication explain Bell nonlocality?","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN","json":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN.json","graph_json":"https://pith.science/api/pith-number/5Q343I33TSL6PU3MQVNS6PXTBN/graph.json","events_json":"https://pith.science/api/pith-number/5Q343I33TSL6PU3MQVNS6PXTBN/events.json","paper":"https://pith.science/paper/5Q343I33"},"agent_actions":{"view_html":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN","download_json":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN.json","view_paper":"https://pith.science/paper/5Q343I33","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.06114&json=true","fetch_graph":"https://pith.science/api/pith-number/5Q343I33TSL6PU3MQVNS6PXTBN/graph.json","fetch_events":"https://pith.science/api/pith-number/5Q343I33TSL6PU3MQVNS6PXTBN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN/action/storage_attestation","attest_author":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN/action/author_attestation","sign_citation":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN/action/citation_signature","submit_replication":"https://pith.science/pith/5Q343I33TSL6PU3MQVNS6PXTBN/action/replication_record"}},"created_at":"2026-05-18T00:45:01.506309+00:00","updated_at":"2026-05-18T00:45:01.506309+00:00"}