{"arxiv_id":"2607.16880","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":10,"sentences":11,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":2,"quotes":[{"arxiv_id":"astro-ph/0402403","title":"Electrodynamics of black hole magnetospheres","url":"/paper/astro-ph/0402403","section":"Electromagnetic Emission from an Evaporating Black Hole: A Macroscopic Medium Perspective","sentence":"Using the vacuum constitutive equations derived by Komissarov [ref] , [equation] and setting $β^i = 0$, we obtain [equation] Thus the vacuum behaves as an isotropic effective medium with scalar permittivity and permeability: [equation] The distinction from the usual stationary optical-medium analogy is important: here $ϵ$ and $μ$ depend on time through $m(r,t)$.","intent_p":0.91,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2101.06544","title":"Geometry of Vaidya spacetimes","url":"/paper/2101.06544","section":"Introduction","sentence":"While exact solutions like the Vaidya metric [ref] and the Oppenheimer-Snyder collapse model [ref] provide foundational insights into radial energy flux and gravitational collapse, their highly symmetric nature fails to capture semiclassical radiative effects or produce nontrivial electromagnetic sources when coupled to external fields[See Appendices [ref] and [ref] for details on the Vaidya and Oppenheimer-Snyder spacetimes.].","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":8},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2607.16880"}}