{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KPLCIWKKGDRXZME5WGTC5YPAES","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":"fbd58440c58bd33f272bbfef2e4bdd016311cb5d344e81f4ff73f3a59f26b1b3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T04:52:11Z","title_canon_sha256":"29827136ec060011bfb55319b09769744e8019ec4564391d1d85b17731422d9f"},"schema_version":"1.0","source":{"id":"2607.14569","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.14569","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.14569v1","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.14569","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"KPLCIWKKGDRX","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"KPLCIWKKGDRXZME5","created_at":"2026-07-17T01:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"KPLCIWKK","created_at":"2026-07-17T01:21:18Z"}],"graph_snapshots":[{"event_id":"sha256:76643d7b083ab8f42fd3df0aba4e5572c3a7f1eef0330f2693c7f83f16c9acad","target":"graph","created_at":"2026-07-17T01:21:18Z","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/2607.14569/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Navascu\\'es--Pironio--Ac\\'in (NPA) hierarchy gives the standard semidefinite outer approximations to quantum behaviors. Whether \\emph{any} finite level can already equal the quantum set has remained open even in the bipartite scenario with two binary measurements per party. We demonstrate that \\emph{no finite level} is exact. For the symmetric doubly tilted CHSH functional $h_\\alpha=A_0B_0+A_0B_1+A_1B_0-A_1B_1+\\alpha(A_0+B_0)$, set $T=1-\\alpha$. Its quantum maximum satisfies $[\\omega_{\\rm Q}(1-T)-(4-2T)]/T^3\\to4/3$, whereas every fixed NPA level satisfies $[\\omega_L(1-T)-\\omega_{\\rm Q}(1-T","authors_text":"Anubhav Chaturvedi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T04:52:11Z","title":"No Finite NPA Level Characterizes the Complete Quantum Set in the Simplest Bell Scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.14569","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":"sha256:9cb67c5bd770d17a232a257ee37d5d1a89556c7d30322ad5590b2908b5c12176","target":"record","created_at":"2026-07-17T01:21:18Z","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":"fbd58440c58bd33f272bbfef2e4bdd016311cb5d344e81f4ff73f3a59f26b1b3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-16T04:52:11Z","title_canon_sha256":"29827136ec060011bfb55319b09769744e8019ec4564391d1d85b17731422d9f"},"schema_version":"1.0","source":{"id":"2607.14569","kind":"arxiv","version":1}},"canonical_sha256":"53d624594a30e37cb09db1a62ee1e024a7be7fc898d181a029d4caceb8ed152d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53d624594a30e37cb09db1a62ee1e024a7be7fc898d181a029d4caceb8ed152d","first_computed_at":"2026-07-17T01:21:18.750528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T01:21:18.750528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lfo1SEkNIAW9SUUtSTrwYgPAyhIoKGdgZlQUJ6dp7Jb9X5cBk+/kaSY65OEZyJohfWUYYNBWLSwUpsvXbkV+BA==","signature_status":"signed_v1","signed_at":"2026-07-17T01:21:18.751349Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.14569","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cb67c5bd770d17a232a257ee37d5d1a89556c7d30322ad5590b2908b5c12176","sha256:76643d7b083ab8f42fd3df0aba4e5572c3a7f1eef0330f2693c7f83f16c9acad"],"state_sha256":"c2c5df8f4205decbae9684adc53f3533b576d24cc2868838324493b4d5432036"}