{"arxiv_id":"hep-th/9407001","incoming":{"papers":79,"sentences":112,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":9,"sentences":11,"quotes":[{"arxiv_id":"2107.09001","title":"Black Hole Entropy Sourced by String Winding Condensate","url":"/paper/2107.09001","section":"Conical singularity","sentence":"The near-horizon geometry, suppressing angular directions, is given by [equation] As proposed in [ref] , in taking $β$-derivatives of the action, one has to consider this family and at the end of the calculation set the periodicity to the Hawking periodicity.","intent_p":0.97,"contests_p":null},{"arxiv_id":"2206.02623","title":"Generalized free energy landscape of black hole phase transition","url":"/paper/2206.02623","section":"Introduction","sentence":"This approach was used to study the quantum corrections to the black hole entropy, which is called the off-shell method [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"2504.00503","title":"Generalized Free Energy Landscapes from Iyer-Wald Formalism","url":"/paper/2504.00503","section":"Generalized Free Energy","sentence":"We address this issue by adopting a regularization procedure [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2210.11821","title":"Echo of the Dark: gravitational waves from dark SU(3) Yang-Mills theory","url":"/paper/2210.11821","section":"Effective Action from Holography","sentence":"In the latter case, a conical singularity is present at the horizon, and its contribution to the free energy is obtained after regularizing it with a spherical cap (more details are provided in the appendix) [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1509.04969","title":"Entanglement Entropy & Anomaly Inflow","url":"/paper/1509.04969","section":"Replica trick","sentence":"We use the regularized metric [ref] (see Fig. 6 below) g_n,a=r^2+a^2n^2/r^2+a^2dr^2+n^2r^2dθ^2+dx^2.","intent_p":0.98,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1104.3712","title":"Entanglement entropy of black holes","url":"/paper/1104.3712","section":"The Reissner-Nordström black hole.","sentence":"In this case $r_-=0$ ($q=0$) and $r_+=2m$ so that the entropy, found by Solodukhin [ref] , is S_Sch=A(Σ)ø48πϵ^2+1ø45lnr_+øϵ . entropy-Sch Historically this was the first time when the subleading logarithmic term in entanglement entropy was computed.","intent_p":0.88,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2206.10427","title":"Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime","url":"/paper/2206.10427","section":"$q$-dependent bulk cut-offs","sentence":"One can also compare the result with the one-loop contributions to black-hole entropy obtained in [ref] by considering conical singularities associated to time coordinate.","intent_p":1.0,"contests_p":null},{"arxiv_id":"2506.15261","title":"Quantum-corrected black hole thermodynamics from the gravitational path integral","url":"/paper/2506.15261","section":"Quantum corrected black hole thermodynamics","sentence":"Taking the“Brick wall” model [ref] and the “quantum entropy” model [ref] as examples, the logarithmic correction captures the quantum correction from the one-loop effect of matter on a fixed background.","intent_p":0.93,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1510.02099","title":"Generalized Second Law for Cosmology","url":"/paper/1510.02099","section":"Generalized Entropy and Quantum Expansion","sentence":"There is compelling evidence that this divergence is cancelled by a renormalization of Newton's constant in the area term [ref] 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holes","url":"/paper/1104.3712","section":"The dilatonic charged black hole","sentence":"The calculation of the entanglement entropy of a static black hole is discussed in the following papers [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"2605.29503","title":"Polyakov-loop potential of accelerated gluonic matter and thermodynamic subtleties","url":"/paper/2605.29503","section":"Introduction","sentence":"This situation is closely related to quantum field theory on conical manifolds and cosmic-string backgrounds [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"2104.05388","title":"Novel logarithmic corrections to black hole entropy","url":"/paper/2104.05388","section":"Introduction","sentence":"For large black holes, the Bekenstein-Hawking entropy gets logarithmic corrections [ref] - [ref] , which have been computed for extremal and non-extremal black holes, using Euclidean quantum gravity methods [ref] - [ref] as well as loop quantum gravity and the saddle point method [ref] - [ref] .","intent_p":0.82,"contests_p":null}]}],"unlabelled_sentences":71},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"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":{"arxiv_id":"hep-th/9407001","kind":"model","paper_version":1,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T18:56:46+00:00","loaded_at":"2026-10-28T01:03:19.402890+00:00","evidence":"substantial","account":[],"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"entries":[{"p":0.96,"quote":{"text":"In the latter case, a conical singularity is present at the horizon, and its contribution to the free energy is obtained after regularizing it with a spherical cap (more details are provided in the appendix) [ref] .","citing":"2210.11821","section":"Effective Action from Holography"},"citing":[{"self":false,"year":2022,"title":"Echo of the Dark: gravitational waves from dark SU(3) Yang-Mills theory","arxiv_id":"2210.11821"}],"verified":true,"paraphrase":"Obtained the conical singularity's contribution to the free energy after regularizing it with a spherical cap, citing this paper for details."},{"p":0.98,"quote":null,"citing":[{"self":false,"year":2015,"title":"Entanglement Entropy & Anomaly Inflow","arxiv_id":"1509.04969"}],"verified":true,"paraphrase":"Used this paper's regularized metric to handle the conical singularity along the line r=0."}],"papers_all":9,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"data_used":1,"comparison":2,"method_or_tool":9,"supports_this_paper":1},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":8,"self_papers":6,"citing_papers":81,"sentences_read":11,"citing_sentences":114,"unambiguous_read":11,"typed_independent":12,"independent_papers":75,"by_kind_independent":{"comparison":2,"method_or_tool":9,"supports_this_paper":1}},"input_sha256":"9cc3ae672e2fb5e1e5bb24efd9f9b0ab3604f47e5eb084ec6593ff1a25957204","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"2 later papers by other authors are listed below: 2 used its method or tool."},"_links":{"html":"https://pith.science/paper/hep-th/9407001"}}