{"arxiv_id":"2506.13364","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":1,"sentences":6,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":3,"quotes":[{"arxiv_id":"2410.12234","title":"Bounds on the exceptional set in the $abc$ conjecture","url":"/paper/2410.12234","section":"The two bounds","sentence":"It is a symmetrized version of [ref] .","intent_p":0.91,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2410.12234","title":"Bounds on the exceptional set in the $abc$ conjecture","url":"/paper/2410.12234","section":"Introduction","sentence":"This improves on the trivial bound $N_λ(X) ≪X^2λ/3+ε$ (see [ref] ).","intent_p":0.83,"contests_p":null}]}],"unlabelled_sentences":2},"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/2506.13364"}}