{"arxiv_id":"hep-th/0410234","incoming":{"papers":31,"sentences":46,"groups":[{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0812.4020","title":"Analytic Approaches to the Study of Small Scale Structure on Cosmic String Networks","url":"/paper/0812.4020","section":"Summary and discussion","sentence":"Numerical studies [ref] suggest values between $-1$ and $-0.6$ for the exponent.","intent_p":0.87,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":3,"sentences":3,"quotes":[{"arxiv_id":"2204.13123","title":"Cosmic strings from pure Yang-Mills theory","url":"/paper/2204.13123","section":"Extended VOS model","sentence":"Our result of $ρ_∞∝P_eff^-1$ is consistent with the one obtained in Ref. [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"2504.20994","title":"Cosmic superstrings in large volume compactifications: PTAs, LISA and time-varying tension","url":"/paper/2504.20994","section":"The VOS model (with a time dependent tension)","sentence":"The VOS predicts $β=0$ (since the increase of small scale structure generates a new scale that is not present in the model, see [ref] ), whilst simulations indicate $β=1/2$ in flat space [ref] and $β=2/3$ in an expanding spacetime [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"1110.0556","title":"Weak lensing of CMB by cosmic (super-)strings","url":"/paper/1110.0556","section":"String network dynamics","sentence":"This $P$ dependence is consistent with the numerical simulations in [ref] , while [ref] obtained a relatively weaker dependence, $ρ_str∝P^-α$ with $0 < α< 1$.","intent_p":0.97,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0902.0569","title":"Cosmic Strings and Cosmic Superstrings","url":"/paper/0902.0569","section":"Differences between Cosmic Strings and Cosmic Superstrings","sentence":"It can thus be much less than one, leading to an increased density of strings [ref] , implying an enhancement of various observational signatures.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":12,"sentences":13,"quotes":[{"arxiv_id":"2003.07275","title":"Periodic Fast Radio Bursts from Axion Emission by Cosmic Superstrings","url":"/paper/2003.07275","section":"Introduction","sentence":"In 4-dimensional spacetime, $A_μν$ is dual to an axion $a$ i.e. $∂^μa=ϵ^μνρσ∂_νA_ρσ$.[A realistic compactification from 10 to 4 dimensions in Type IIB string theory possesses an orientifold, in which the original two-forms $B_μν$ and $C_μν$ are projected out [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"0806.3219","title":"Dynamics of F/D networks: the role of bound states","url":"/paper/0806.3219","section":"Introduction","sentence":"In a number of studies, cosmic superstring evolution has been addressed via numerical experiments [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"0706.3662","title":"Numerical experiments with p F- and q D-strings: the formation of (p,q) bound states","url":"/paper/0706.3662","section":"Introduction","sentence":"The reader can find in the literature a number of numerical experiments [ref] with cosmic superstrings, each of them at a different level of approximation, as well as analytical studies [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0902.0569","title":"Cosmic Strings and Cosmic Superstrings","url":"/paper/0902.0569","section":"Cosmic Superstring Evolution","sentence":"The evolution of cosmic superstring networks, is a complicated issue, which has been addressed by numerical [ref] , as well as analytical [ref] approaches.","intent_p":0.84,"contests_p":null},{"arxiv_id":"2102.08194","title":"Comparison of cosmic string and superstring models to NANOGrav 12.5-year results","url":"/paper/2102.08194","section":"Cosmic Superstrings","sentence":"There has been some debate in the literature about how this lower probability would modify the overall density of the strings [ref] .","intent_p":0.88,"contests_p":null}]}],"unlabelled_sentences":28},"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":null,"_links":{"html":"https://pith.science/paper/hep-th/0410234"}}