{"paper":{"title":"Contextual Value-definiteness and the Kochen-Specker Paradox","arxiv_id":"quant-ph/0512052","primary_cat":"quant-ph","submitted_at":"2005-12-06T21:54:35+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Compatibility between the realist tenants of value-definiteness and causality is called into question by several realism impossibility proofs in which their formal elements are shown to conflict.","hedge":{"p":0.93,"label":"asserted"},"own_p":0.06,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.92,"id":"s1","own":true,"role":"contribution","text":"We review how this comes about in the Kochen-Specker and von Neumann proofs and point out a connection between their key assumptions: a constraint on realist causality via additivity in the latter proof, noncontextuality in the former.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.7,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.07,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.92,"interpretation":0.0}},{"i":2,"p":0.82,"id":"s2","own":true,"role":"result","text":"We conclude that value-definiteness and contextuality are indeed not mutually exclusive.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.82,"main_claim_p":0.95,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.82,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.18}}]},"compiled":{"main_claim":{"p":1.0,"text":"We conclude that value-definiteness and contextuality are indeed not mutually exclusive.","location":"abstract s2","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":2980,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.03,"states_limitation":0.1,"human_participants":0.02,"controlled_comparison":0.02,"randomized_assignment":0.01,"states_quantitative_result":0.02,"compares_with_prior_results":0.57,"mentions_code_or_data_availability":0.01},"evidential_basis":{"p":0.53,"value":"argument","probabilities":{"argument":0.53,"literature":0.42,"proof_or_derivation":0.05,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":0.86,"value":"review","probabilities":{"review":0.86,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":0.04,"dataset_or_benchmark":0.0,"position_or_commentary":0.1}},"contribution_statement":{"p":0.93,"text":"We review how this comes about in the Kochen-Specker and von Neumann proofs and point out a connection between their key assumptions: a constraint on realist causality via additivity in the latter proof, noncontextuality in the former.","location":"abstract s1"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":3,"sentences_in_abstract":3},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}