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(ii) the Dvali-Gabadadze-Porrati (DGP) model [ref] ; and (iii) Tensor-Vector-Scalar theory (TeVeS) [ref] .","intent_p":0.82,"contests_p":null},{"arxiv_id":"0705.3375","title":"Unsuccessful cosmology with Modified Gravity Models","url":"/paper/0705.3375","section":"Introduction","sentence":"These modifications must become important at late times in order to explain the fact that the universe has started to accelerate only recently, and so much attention has been focused on actions with inverse powers of curvature invariants, mainly squares of the Ricci scalar $R$, the Ricci tensor $R_μν$, and the Riemann tensor $R_μνρσ$ [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"2009.08743","title":"Galaxy morphology rules out astrophysically relevant Hu-Sawicki $f(R)$ gravity","url":"/paper/2009.08743","section":"Introduction","sentence":"We focus here on thin-shell screening, as our specific emphasis will be $f(R)$ gravity which screens by the chameleon mechanism [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"1008.4421","title":"New mechanism to cross the phantom divide","url":"/paper/1008.4421","section":"Introduction","sentence":"Lately, there is a very interesting operation on the general relativity: a modification to the Einstein-Hilbert action by involving new terms of inverse powers of the curvature scalar (in the following text we call it inverse-R gravity), of the form $√(-g)R^-n$(with $n>0$) [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"0910.5659","title":"Hamiltonian perturbation theory in f(R) gravity","url":"/paper/0910.5659","section":"Introduction","sentence":"In the present paper we are especially interested in $f(R)$ gravity models in which the Einstein-Hilbert action is replaced by a function of the curvature scalar $R$ [ref] .","intent_p":0.86,"contests_p":null}]}],"unlabelled_sentences":130},"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; 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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":"astro-ph/0306438","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T11:04:19+00:00","loaded_at":"2026-10-28T01:01:52.628392+00:00","evidence":"substantial","account":[],"groups":[{"kind":"comparison","label":"Compares with it","papers":2,"entries":[{"p":0.89,"quote":null,"citing":[{"self":false,"year":2010,"title":"Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models","arxiv_id":"1011.0544"}],"verified":true,"paraphrase":"Obtained, for n=1, m=2, and Λ_1=Λ_2=0 in another work's equation at small curvature, the solution of this paper's equation, â ∝t^2."},{"p":0.87,"quote":{"text":"Expanding for small $κ$, we find [equation] The leading Kaniadakis correction on the de Sitter branch is precisely the $1/R$ modification proposed by Carroll, Duvvuri, Trodden and Turner as a geometric origin of late-time acceleration [ref] , with the inverse-curvature scale fixed by the deformation parameter as $κ^2σ^2/6$.","citing":"2608.25722","section":"Exact Lagrangians"},"citing":[{"self":false,"year":2026,"title":"Reconstructing $f(R)$ gravity from generalized entropies: exact Lagrangians","arxiv_id":"2608.25722"}],"verified":true,"paraphrase":"Found that the leading Kaniadakis correction on the de Sitter branch is precisely the 1/R modification proposed in this paper, with the inverse-curvature scale fixed by the deformation parameter as κ^2σ^2/6."}],"papers_all":6,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"extends":3,"contests":4,"comparison":6,"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":39,"self_papers":5,"citing_papers":320,"sentences_read":40,"citing_sentences":397,"unambiguous_read":40,"typed_independent":11,"independent_papers":315,"by_kind_independent":{"contests":4,"comparison":6,"supports_this_paper":1}},"input_sha256":"d02d1cee13f5a7485f8452b6e47dc4888f66e20457da8499c4bfa4d0c671a7bf","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. 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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 compared their own results with it."},"_links":{"html":"https://pith.science/paper/astro-ph/0306438"}}