{"arxiv_id":"1907.11755","incoming":{"papers":1,"sentences":1,"groups":[],"unlabelled_sentences":1},"outgoing":{"papers":1,"sentences":5,"groups":[{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":2,"quotes":[{"arxiv_id":"1503.02523","title":"Adapted pairs and Weierstrass sections","url":"/paper/1503.02523","section":"Affine slice.","sentence":"Then if there exists a Weierstrass section $y+V⊂^*$ for coadjoint action of $$, one has by [ref] that $y+V$ is an affine slice to the coadjoint action of $$.","intent_p":0.97,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1503.02523","title":"Adapted pairs and Weierstrass sections","url":"/paper/1503.02523","section":"Weierstrass sections.","sentence":"A Weierstrass section for coadjoint action of $$ (see [ref] ) is an affine subspace $y+V$ of $^*$ (with $y∈^*$ and $V$ a vector subspace of $^*$) such that restriction of functions of $S()=[^*]$ to $y+V$ induces an algebra isomorphism between $Y()$ and the algebra of polynomial functions $[y+V]$ on $y+V$.","intent_p":0.91,"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/1907.11755"}}