{"arxiv_id":"0712.3483","incoming":{"papers":18,"sentences":30,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0803.1246","title":"The Impact of Stochastic Primordial Magnetic Fields on the Scalar Contribution to Cosmic Microwave Background Anisotropies","url":"/paper/0803.1246","section":"Conclusions","sentence":"Ref. [ref] uses the correct initial conditions, but a power spectrum for the PMF energy -density with a spectral index which is twice the one for the power spectrum of the magnetic field.","intent_p":0.75,"contests_p":0.72}]},{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0802.1053","title":"Generalized CMB initial conditions with pre-equality magnetic fields","url":"/paper/0802.1053","section":"Pre-equality CMB initial conditions","sentence":"The remaining two points necessarily demand a full numerical integration which will be performed with the code devised in [ref] and hereby extended to handle initial data which are, simultaneously, magnetized and non-adiabatic.","intent_p":0.95,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0803.1246","title":"The Impact of Stochastic Primordial Magnetic Fields on the Scalar Contribution to Cosmic Microwave Background Anisotropies","url":"/paper/0803.1246","section":"Initial Conditions","sentence":"We have checked that the result reported in [ref] and ours [ref] agree.","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":8,"sentences":8,"quotes":[{"arxiv_id":"0802.1053","title":"Generalized CMB initial conditions with pre-equality magnetic fields","url":"/paper/0802.1053","section":"Initial data of the Einstein-Boltzmann hierarchy","sentence":"Before plunging into the discussion it is appropriate to recall [ref] that large-scale magnetic fields affect directly the Einstein equations since they contribute to the energy density, to the pressure and to the anisotropic stress: [equation] where $B^2 = B_iB^i$.","intent_p":0.87,"contests_p":null},{"arxiv_id":"1308.3348","title":"Magnetic fields from inflation: The CMB temperature anisotropies","url":"/paper/1308.3348","section":"Introduction","sentence":"The effects of a stochastic primordial magnetic field on the CMB are many: spectral distortions of the monopole [ref] , the generation of scalar, vector and tensor perturbations in the metric affecting both the temperature and the polarization spectra, see e.g. [ref] , the production of non-Gaussian signatures leading to a non-zero temperature bispectrum and trispectrum, see e.g. [ref] , Faraday rotation of CMB polarization, see e.g. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2312.11448","title":"Cosmic Recombination in the Presence of Primordial Magnetic Fields","url":"/paper/2312.11448","section":"Introduction","sentence":"They considered anisotropic expansion [ref] , spectral $y$ and $μ$ distortions [ref] , anisotropies due to Alfven and slow magnetic waves [ref] , a changing ionization history due to plasma heating [ref] , extra polarization due to PMFs [ref] , as well as non-Gaussianity in bi- and tri-spectrum [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1004.1405","title":"CMB temperature anisotropy at large scales induced by a causal primordial magnetic field","url":"/paper/1004.1405","section":"Introduction","sentence":"This has been analysed in several works: for the scalar mode, see for example [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"1006.2985","title":"Acoustic signatures in the Cosmic Microwave Background bispectrum from primordial magnetic fields","url":"/paper/1006.2985","section":"Introduction","sentence":"The contributions to the CMB angular power spectrum from the scalar perturbations induced by PMFs are investigated in [ref] , from the vector perturbations in [ref] and from tensor mode in [ref] , respectively.","intent_p":0.94,"contests_p":null}]}],"unlabelled_sentences":19},"outgoing":{"papers":6,"sentences":7,"groups":[],"unlabelled_sentences":7},"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/0712.3483"}}