{"paper":{"title":"Novel thermodynamic topological subclass from inverse-temperature asymptotics","arxiv_id":"2610.41585","primary_cat":"gr-qc","submitted_at":"2026-10-30T11:21:49+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":0.9,"id":"s0","own":true,"role":"contribution","text":"We investigate the thermodynamic topology of the charged McGuigan--Nappi--Yost black hole in the canonical ensemble at fixed electric charge, identifying equilibrium black hole solutions as zeros of the thermodynamic vector field constructed from the generalized off-shell free energy.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.94,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.1,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.9,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":true,"role":"result","text":"The inverse Hawking temperature diverges as the extremal limit is approached and approaches a finite positive value in the large-horizon limit.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.74,"main_claim_p":0.03,"quantitative":true,"quantitative_p":0.62,"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}},{"i":2,"p":1.0,"id":"s2","own":true,"role":"result","text":"The zero points of the thermodynamic vector field reveal a thermodynamic phase structure consisting solely of a locally stable branch with positive winding number ($w=+1$).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.11,"quantitative":true,"quantitative_p":0.94,"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}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"result","text":"The innermost small black hole state is locally stable in the low-temperature limit.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.12,"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}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"As the temperature increases, the stable branch extends toward the outermost large black hole regime, while no black hole states exist in the high-temperature regime beyond the finite upper Hawking temperature.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.06,"quantitative":true,"quantitative_p":0.7,"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}},{"i":5,"p":0.94,"id":"s5","own":true,"role":"interpretation","text":"This distinct asymptotic behavior of the inverse temperature places the thermodynamic defect structure outside the established topological (sub)classes, although its topological number agrees with that of the standard $W^{1+}$ class.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.23,"quantitative":true,"quantitative_p":0.69,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.06,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.94}},{"i":6,"p":0.46,"id":"s6","own":true,"role":"result","text":"We therefore identify this defect structure as a new thermodynamic topological subclass, $\\breve W^{1+}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.83,"quantitative":false,"quantitative_p":0.22,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.46,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.38,"interpretation":0.16}},{"i":7,"p":0.74,"id":"s7","own":true,"role":"interpretation","text":"This finding extends the existing classification to include a finite, nonzero large-horizon limit of the inverse Hawking temperature and suggests that distinct asymptotic behaviors in other black hole families may reveal further topological (sub)classes and thermodynamic phase structures.","hedge":{"p":0.93,"label":"hedged_possibility"},"own_p":0.82,"main_claim_p":0.37,"quantitative":false,"quantitative_p":0.38,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.2,"contribution":0.06,"interpretation":0.74}}]},"compiled":{"main_claim":{"p":0.98,"text":"We therefore identify this defect structure as a new thermodynamic topological subclass, $\\breve W^{1+}$.","location":"abstract s6","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 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