{"arxiv_id":"1002.1873","incoming":{"papers":5,"sentences":8,"groups":[{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1002.1883","title":"The one-dimensional KPZ equation: an exact solution and its universality","url":"/paper/1002.1883","section":"Introduction","sentence":"A more detailed exposition can be found in [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2003.03809","title":"Half-space stationary Kardar-Parisi-Zhang equation","url":"/paper/2003.03809","section":"Introduction","sentence":"Exact results have also been obtained for the KPZ equation itself, and its equivalent system, the continuous directed polymer [ref] .","intent_p":0.83,"contests_p":null}]}],"unlabelled_sentences":6},"outgoing":{"papers":3,"sentences":5,"groups":[{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1003.0443","title":"Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions","url":"/paper/1003.0443","section":"Conclusions","sentence":"Corwin, and J. Quastel posted their paper [ref] in the arXiv, in which independently they establish the limit ([ref]) and the formula ([ref]) for the probability density $ρ_t$.","intent_p":0.92,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1002.1879","title":"Exact height distributions for the KPZ equation with narrow wedge initial condition","url":"/paper/1002.1879","section":"Conclusions","sentence":"Properties of this family of distribution functions and their relation to the KPZ equation will be discussed in the companion papers [ref] .","intent_p":0.87,"contests_p":null}]}],"unlabelled_sentences":3},"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/1002.1873"}}