{"paper":{"title":"Statistical Properties of Cosmological Billiards","arxiv_id":"1011.5797","primary_cat":"gr-qc","submitted_at":"2010-11-26T14:19:26+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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(ii) its quotienting by the group of permutations of (a, b, c); and (iii) the billiard dynamics that arose in recent studies suggesting the hidden presence of Kac-Moody symmetries in cosmological billiards.","hedge":{"p":0.52,"label":"hedged_possibility"},"own_p":0.63,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.21,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.01,"background":0.01,"limitation":0.0,"future_work":0.01,"contribution":0.74,"interpretation":0.23}}]},"compiled":{"main_claim":{"p":0.76,"text":"We show how the use of a \"cosmological billiard\" description allows one to refine and deepen the understanding of these statistical properties.","location":"abstract s1","hedge_strength":{"p":0.99,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":5240,"cost_usd_reported":0.00022},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13-20260917","abstract_states":{"claims_first":0.81,"states_limitation":0.4,"human_participants":0.01,"controlled_comparison":0.08,"randomized_assignment":0.01,"states_quantitative_result":0.21,"compares_with_prior_results":0.95,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":1.0,"value":"proof or derivation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":1.0,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":0.98,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.02,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":0.98,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.84,"text":"Contrary to previous treatments, we do not quotient the dynamics by its discrete symmetry group (of order 6), thereby uncovering new phenomena, such as correlations between the successive billiard corners in which the oscillations take place.","location":"abstract s2"}},"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 v2"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":6,"sentences_in_abstract":6},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; 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