{"arxiv_id":"1208.0531","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":33,"sentences":51,"groups":[{"kind":"comparison","label":"Compares with","papers":2,"sentences":2,"quotes":[{"arxiv_id":"quant-ph/0604118","title":"Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator","url":"/paper/quant-ph/0604118","section":"Lorentz covariant deformed algebra","sentence":"Particularly, it has been reduced to the Snyder algebra (for more details see [ref] ).","intent_p":0.89,"contests_p":null},{"arxiv_id":"quant-ph/0612093","title":"Lorentz-covariant deformed algebra with minimal length","url":"/paper/quant-ph/0612093","section":"Lorentz covariant deformed algebra","sentence":"Particularly, it has been reduced to the Snyder algebra (for more details see [ref] ).","intent_p":0.89,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":9,"sentences":9,"quotes":[{"arxiv_id":"hep-th/9810215","title":"On the Structure of Space-Time at the Planck Scale","url":"/paper/hep-th/9810215","section":"Introduction","sentence":"Kempf has expanded the studies on the structure of space-time at the Planck scale [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"hep-th/9412167","title":"Hilbert Space Representation of the Minimal Length Uncertainty Relation","url":"/paper/hep-th/9412167","section":"Introduction","sentence":"Kempf has expanded the studies on the structure of space-time at the Planck scale [ref] .","intent_p":0.95,"contests_p":null},{"arxiv_id":"hep-th/0605183","title":"Minimal Length Uncertainty Relation and gravitational quantum well","url":"/paper/hep-th/0605183","section":"Introduction","sentence":"The modification of the Heisenberg algebra and its extension to higher dimensions through GUP has been extensively studied recently (for more details see [ref] ).","intent_p":0.96,"contests_p":null},{"arxiv_id":"hep-th/9604045","title":"Nonpointlike Particles in Harmonic Oscillators","url":"/paper/hep-th/9604045","section":"Introduction","sentence":"The modification of the Heisenberg algebra and its extension to higher dimensions through GUP has been extensively studied recently (for more details see [ref] ).","intent_p":0.96,"contests_p":null},{"arxiv_id":"quant-ph/0603042","title":"Perturbation hydrogen-atom spectrum in deformed space with minimal length","url":"/paper/quant-ph/0603042","section":"Introduction","sentence":"The modification of the Heisenberg algebra and its extension to higher dimensions through GUP has been extensively studied recently (for more details see [ref] ).","intent_p":0.96,"contests_p":null}]}],"unlabelled_sentences":40},"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/1208.0531"}}