{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:M255PHWMUWD5WJX4ZVEPRTMOQO","short_pith_number":"pith:M255PHWM","schema_version":"1.0","canonical_sha256":"66bbd79ecca587db26fccd48f8cd8e83bfc1db5bba3a2eb6456bf347c1f587b3","source":{"kind":"arxiv","id":"2307.08129","version":1},"attestation_state":"computed","paper":{"title":"Almost synchronous correlations and Tomita-Takesaki theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OA","authors_text":"Amine Marrakchi, Mikael de la Salle","submitted_at":"2023-07-16T19:02:08Z","abstract_excerpt":"The aim of this note is to present a ``type III'' generalization of a distribution lemma of Connes. We then derive, following Vidick, consequences on infinite-dimensional quantum strategies for non-local games."},"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":"2307.08129","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OA","submitted_at":"2023-07-16T19:02:08Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"8c69b437bb664a66f9ef9177227f45228bc7fb349f0c18e055901d6c176f1237","abstract_canon_sha256":"22c737e53f5e25e5efc1f770e61a19e5964108233479149400ccf53d0a785fbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:31:20.496498Z","signature_b64":"Llu5wPBu3PInCUa57KJO6MFwbZP4n39OBd3Y97q1cpbISs7x8n0Kj4UPgeAQ9RrISbX/Xt6rXSLRhyJRgclqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66bbd79ecca587db26fccd48f8cd8e83bfc1db5bba3a2eb6456bf347c1f587b3","last_reissued_at":"2026-07-05T06:31:20.496111Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:31:20.496111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Almost synchronous correlations and Tomita-Takesaki theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"math.OA","authors_text":"Amine Marrakchi, Mikael de la Salle","submitted_at":"2023-07-16T19:02:08Z","abstract_excerpt":"The aim of this note is to present a ``type III'' generalization of a distribution lemma of Connes. We then derive, following Vidick, consequences on infinite-dimensional quantum strategies for non-local games."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.08129","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/2307.08129/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":"2307.08129","created_at":"2026-07-05T06:31:20.496167+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.08129v1","created_at":"2026-07-05T06:31:20.496167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.08129","created_at":"2026-07-05T06:31:20.496167+00:00"},{"alias_kind":"pith_short_12","alias_value":"M255PHWMUWD5","created_at":"2026-07-05T06:31:20.496167+00:00"},{"alias_kind":"pith_short_16","alias_value":"M255PHWMUWD5WJX4","created_at":"2026-07-05T06:31:20.496167+00:00"},{"alias_kind":"pith_short_8","alias_value":"M255PHWM","created_at":"2026-07-05T06:31:20.496167+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.19405","citing_title":"Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO","json":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO.json","graph_json":"https://pith.science/api/pith-number/M255PHWMUWD5WJX4ZVEPRTMOQO/graph.json","events_json":"https://pith.science/api/pith-number/M255PHWMUWD5WJX4ZVEPRTMOQO/events.json","paper":"https://pith.science/paper/M255PHWM"},"agent_actions":{"view_html":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO","download_json":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO.json","view_paper":"https://pith.science/paper/M255PHWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.08129&json=true","fetch_graph":"https://pith.science/api/pith-number/M255PHWMUWD5WJX4ZVEPRTMOQO/graph.json","fetch_events":"https://pith.science/api/pith-number/M255PHWMUWD5WJX4ZVEPRTMOQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO/action/storage_attestation","attest_author":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO/action/author_attestation","sign_citation":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO/action/citation_signature","submit_replication":"https://pith.science/pith/M255PHWMUWD5WJX4ZVEPRTMOQO/action/replication_record"}},"created_at":"2026-07-05T06:31:20.496167+00:00","updated_at":"2026-07-05T06:31:20.496167+00:00"}