{"arxiv_id":"2103.16347","incoming":{"papers":1,"sentences":1,"groups":[{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2109.00766","title":"Revisiting the luminosity and redshift distributions of long gamma-ray bursts","url":"/paper/2109.00766","section":"Introduction","sentence":"In the past few years, the properties of the population of long GRBs and their evolution with cosmic time have been widely investigated by different authors (e.g., [ref] ).","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":0},"outgoing":{"papers":3,"sentences":6,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":1,"quotes":[{"arxiv_id":"astro-ph/9905116","title":"Distance measures in cosmology","url":"/paper/astro-ph/9905116","section":"Luminosity Function and Event Rate of GRBs","sentence":"The event rate of GRBs can be written as [equation] where $(1+z)$ results from the cosmological time dilation and $dV(z)/dz$ is the differential comoving volume which can be expressed as [ref] [equation] where the comoving volume at a redshift of $z$ is $V=4πD_M^3/3$ with the comoving distance of $D_M=d_l/(1+z)$ ( [ref] ).","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":5},"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/2103.16347"}}