{"paper":{"title":"Fractal phase structure of QCD under imaginary rotation","arxiv_id":"2610.07779","primary_cat":"hep-ph","submitted_at":"2026-10-06T05:14:58+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. 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this follows from the Euclidean boundary conditions and locality alone, and holds nonperturbatively.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.8,"main_claim_p":0.31,"quantitative":true,"quantitative_p":0.6,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.97,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":2,"p":0.81,"id":"s2","own":true,"role":"result","text":"Consequently, even at zero quark chemical potential, the bulk is placed at the Roberge-Weiss (RW) point whenever $p$ and $q$ are both odd, and $C$ is spontaneously broken there for $T>qT_{\\rm RW}$, with $T_{\\rm RW}$ the RW endpoint temperature.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.77,"main_claim_p":0.28,"quantitative":true,"quantitative_p":0.89,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.81,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.19}},{"i":3,"p":0.96,"id":"s3","own":true,"role":"result","text":"The bulks at $\\Omega_I=2\\pi/3$ and $4\\pi/3$, for example, are both at temperature $T/3$, yet only the former can break $C$.","hedge":{"p":0.82,"label":"asserted"},"own_p":0.81,"main_claim_p":0.1,"quantitative":true,"quantitative_p":0.94,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.04}},{"i":4,"p":0.96,"id":"s4","own":true,"role":"result","text":"The set of imaginary angular velocities at which $C$ is broken has a fractal structure: raising $T$ adds rationals of ever larger denominator.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.85,"main_claim_p":0.32,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.04}},{"i":5,"p":1.0,"id":"s5","own":true,"role":"result","text":"At irrational $\\Omega_I/2\\pi$ the bulk corresponds to zero-temperature QCD at any $T$ and remains confined.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.81,"main_claim_p":0.11,"quantitative":true,"quantitative_p":0.68,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.92,"text":"We show that in hot QCD rotating at an imaginary angular velocity $\\Omega_I$, the angular velocity selects not only the temperature of the bulk but whether charge conjugation $C$ is broken there.","location":"abstract s0","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":5275,"cost_usd_reported":0.0},"compiled_at":"2026-10-07","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.03,"states_limitation":0.12,"human_participants":0.01,"controlled_comparison":0.23,"randomized_assignment":0.01,"states_quantitative_result":0.63,"compares_with_prior_results":0.16,"mentions_code_or_data_availability":0.01},"evidential_basis":{"p":0.96,"value":"proof or derivation","probabilities":{"argument":0.04,"literature":0.0,"proof_or_derivation":0.96,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":1.0,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.0,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":1.0,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.93,"text":"We show that in hot QCD rotating at an imaginary angular velocity $\\Omega_I$, the angular velocity selects not only the temperature of the bulk but whether charge conjugation $C$ is broken there.","location":"abstract s0"}},"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":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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