{"paper":{"title":"From Specific Heat Bounds to Penrose-like Inequalities: A Unified Thermodynamic Perspective","arxiv_id":"2610.35264","primary_cat":"gr-qc","submitted_at":"2026-10-26T11:43:48+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":0.87,"id":"s0","own":true,"role":"contribution","text":"Under explicit and physically motivated assumptions, we identify a local-to-global thermodynamic mechanism that organizes several previously disconnected inequalities on black holes.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.62,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.13,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.87,"interpretation":0.0}},{"i":1,"p":0.96,"id":"s1","own":true,"role":"contribution","text":"We first focus on asymptotically flat, static, and spherically-symmetric black holes, and provide a unified thermodynamic perspective on various Penrose-like inequalities.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.18,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.96,"interpretation":0.0}},{"i":2,"p":0.98,"id":"s2","own":true,"role":"contribution","text":"We also discuss the generalizations in asymptotically Schwarzschild anti-de Sitter black holes/branes.","hedge":{"p":0.86,"label":"asserted"},"own_p":0.76,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":3,"p":0.97,"id":"s3","own":true,"role":"interpretation","text":"In holographic settings, these bounds imply monotonic behavior of normalized thermodynamic quantities in the dual field theory.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.54,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.17,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.03,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.97}},{"i":4,"p":0.95,"id":"s4","own":true,"role":"result","text":"Notably, one central integrated inequality can be established directly under the NEC in general static planar symmetric asymptotically Schwarzschild anti-de Sitter black branes.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.87,"main_claim_p":0.15,"quantitative":true,"quantitative_p":0.64,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.95,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.05,"interpretation":0.0}},{"i":5,"p":0.93,"id":"s5","own":true,"role":"limitation","text":"Our purpose is not to claim a fully general proof of the proposed local bounds, but to expose a unified structural perspective connecting local thermodynamic constraints to global geometric inequalities.","hedge":{"p":0.81,"label":"asserted"},"own_p":0.55,"main_claim_p":0.26,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.93,"future_work":0.0,"contribution":0.06,"interpretation":0.01}},{"i":6,"p":0.71,"id":"s6","own":false,"role":"limitation","text":"Establishing the local bounds beyond the classes considered here remains an open problem.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.19,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.71,"future_work":0.29,"contribution":0.0,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.95,"text":"Under explicit and physically motivated assumptions, we identify a local-to-global thermodynamic mechanism that organizes several previously disconnected inequalities on black holes.","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":5603,"cost_usd_reported":0.0},"compiled_at":"2026-10-27","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.06,"states_limitation":0.98,"human_participants":0.01,"controlled_comparison":0.02,"randomized_assignment":0.01,"states_quantitative_result":0.22,"compares_with_prior_results":0.52,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.94,"value":"proof or derivation","probabilities":{"argument":0.06,"literature":0.0,"proof_or_derivation":0.94,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.0}},"contribution_type":{"p":0.94,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.01,"empirical_study":0.0,"simulation_study":0.0,"theoretical_result":0.94,"dataset_or_benchmark":0.0,"position_or_commentary":0.05}},"contribution_statement":{"p":0.99,"text":"Under explicit and physically motivated assumptions, we identify a local-to-global thermodynamic mechanism that organizes several previously disconnected inequalities on black holes.","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":7,"sentences_in_abstract":7},"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}}