{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CRSEGOA4LJZVT5CXZDZB7ELJU2","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":"9725642091a94ffe822185303cacc0ddba22918cbac4a2b4a7f8c6bd1d69d71e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-04-20T13:23:09Z","title_canon_sha256":"e800ecd4b947c9afde7220bd4a0eae57cfe4cece40fc0155b1e900498519556b"},"schema_version":"1.0","source":{"id":"2604.18238","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.18238","created_at":"2026-05-26T02:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"2604.18238v4","created_at":"2026-05-26T02:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.18238","created_at":"2026-05-26T02:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"CRSEGOA4LJZV","created_at":"2026-05-26T02:05:09Z"},{"alias_kind":"pith_short_16","alias_value":"CRSEGOA4LJZVT5CX","created_at":"2026-05-26T02:05:09Z"},{"alias_kind":"pith_short_8","alias_value":"CRSEGOA4","created_at":"2026-05-26T02:05:09Z"}],"graph_snapshots":[{"event_id":"sha256:bb4e9b100456cdab47320a8bffb23b98672e0b5646a4cbe264f0fec395a34deb","target":"graph","created_at":"2026-05-26T02:05:09Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We establish a generalized transition-kernel framework encompassing dynamical measurement processes and rigorously prove that any dynamical model satisfying ontological parameter independence is mathematically reducible to a static Bell model. We reveal a fundamental trichotomy: to reproduce quantum correlations, a hidden-variable model must violate either (i) strict locality (e.g., ontological parameter and outcome independence), (ii) measurement independence, or (iii) realism."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the generalized transition-kernel framework fully captures all possible dynamical hidden-variable models and that ontological parameter independence is the appropriate locality condition to impose on them."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Local dynamical hidden-variable models with ontological parameter independence are equivalent to static Bell models, so quantum correlations cannot arise from purely local dynamical complexity."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model."}],"snapshot_sha256":"79536a3faa783976c7bbbbda30de93971f118dfe5a952b7ab9cbea4552ae6b11"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-20T04:16:28.799392Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.18238/integrity.json","findings":[],"snapshot_sha256":"7c66199ebe4517b1c8312839061c1fa8fc9d5d6164a11ac69650f4444d320376","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bell inequalities exclude a broad class of local hidden-variable explanations of quantum correlations. A recurring objection is that the usual Bell form is static, whereas real measuring devices may contain local memory, stochastic dynamics, and measurement-induced disturbances of their hidden variables. We formulate this objection as a general transition-kernel model for dynamical hidden variables. The only locality assumption is imposed at the ontic level: conditional on the pre-measurement ontic state, the transition kernel and response function in each wing depend on the local setting but ","authors_text":"Ming Yang","cross_cats":[],"headline":"Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-04-20T13:23:09Z","title":"Ontic Dynamical Locality Reduces to Bell Locality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.18238","kind":"arxiv","version":4},"verdict":{"created_at":"2026-05-10T04:44:40.803394Z","id":"ef10c0f4-4147-4495-8f89-6d4bfc232047","model_set":{"reader":"grok-4.3"},"one_line_summary":"Local dynamical hidden-variable models with ontological parameter independence are equivalent to static Bell models, so quantum correlations cannot arise from purely local dynamical complexity.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Any dynamical hidden-variable model obeying ontological parameter independence reduces to a static Bell model.","strongest_claim":"We establish a generalized transition-kernel framework encompassing dynamical measurement processes and rigorously prove that any dynamical model satisfying ontological parameter independence is mathematically reducible to a static Bell model. We reveal a fundamental trichotomy: to reproduce quantum correlations, a hidden-variable model must violate either (i) strict locality (e.g., ontological parameter and outcome independence), (ii) measurement independence, or (iii) realism.","weakest_assumption":"That the generalized transition-kernel framework fully captures all possible dynamical hidden-variable models and that ontological parameter independence is the appropriate locality condition to impose on them."}},"verdict_id":"ef10c0f4-4147-4495-8f89-6d4bfc232047"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a279c273d6271df1daf775d2a19f84f95cba8c72d190205faf08dcfffca9a0b0","target":"record","created_at":"2026-05-26T02:05:09Z","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":"9725642091a94ffe822185303cacc0ddba22918cbac4a2b4a7f8c6bd1d69d71e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-04-20T13:23:09Z","title_canon_sha256":"e800ecd4b947c9afde7220bd4a0eae57cfe4cece40fc0155b1e900498519556b"},"schema_version":"1.0","source":{"id":"2604.18238","kind":"arxiv","version":4}},"canonical_sha256":"146443381c5a7359f457c8f21f9169a6911a3ce873ba02abbfa35fcb7dad58e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"146443381c5a7359f457c8f21f9169a6911a3ce873ba02abbfa35fcb7dad58e9","first_computed_at":"2026-05-26T02:05:09.470376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:05:09.470376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7xofwJsNrChLmwlhpfU0eXYmRH5mD6lbPrwghumovSeEeJsJp8Z6AAwdf8S1uXHK6vNmePUYPUorPlBZG4e0BQ==","signature_status":"signed_v1","signed_at":"2026-05-26T02:05:09.471231Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.18238","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a279c273d6271df1daf775d2a19f84f95cba8c72d190205faf08dcfffca9a0b0","sha256:bb4e9b100456cdab47320a8bffb23b98672e0b5646a4cbe264f0fec395a34deb"],"state_sha256":"ae2186829c0a599feed790653553403fe2cfa5ee2ed01886c7cb46848fa1e339"}