{"arxiv_id":"2607.12366","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":46,"sentences":73,"groups":[{"kind":"background","label":"Cites as background","papers":13,"sentences":17,"quotes":[{"arxiv_id":"1412.5148","title":"Generalized Global Symmetries","url":"/paper/1412.5148","section":"Introduction and summary","sentence":"Finally, we discuss our vortex solutions from the viewpoint of generalized global symmetries [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1003.3552","title":"Non-Abelian Discrete Symmetries in Particle Physics","url":"/paper/1003.3552","section":"Topological classification","sentence":"[ref] .) Thus the loop at spatial infinity determines an element of \\(A_4\\).","intent_p":0.89,"contests_p":null},{"arxiv_id":"1805.10009","title":"Braiding and fusion of non-Abelian vortex anyons","url":"/paper/1805.10009","section":"Topological classification","sentence":"[ref] .) Thus the loop at spatial infinity determines an element of \\(A_4\\).","intent_p":0.89,"contests_p":null},{"arxiv_id":"2301.11614","title":"Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors","url":"/paper/2301.11614","section":"Topological classification","sentence":"[ref] .) Thus the loop at spatial infinity determines an element of \\(A_4\\).","intent_p":0.89,"contests_p":null},{"arxiv_id":"hep-th/9706029","title":"Spontaneous Symmetry Breaking in SO(3) Gauge Theory to Discrete Subgroups","url":"/paper/hep-th/9706029","section":"Introduction and summary","sentence":"The discrete group $A_4$ has been widely used in particle-physics flavor models and, more recently, in models based on modular symmetry [ref] . $SO(3)$ gauge theories Higgsed to $A_4$ have also been studied in particle physics [ref] [ In condensed matter physics, similar $A_4$ vortices exist in the so-called cyclic phase of spin-2 BECs in which $U(1) ×SO(3)$ is broken to a subgroup containing $A_4$ (often denoted by $T$ in that context) [ref] . ].","intent_p":0.96,"contests_p":null}]}],"unlabelled_sentences":56},"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/2607.12366"}}