{"arxiv_id":"hep-th/0009052","incoming":{"papers":7,"sentences":8,"groups":[{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2401.09307","title":"Inflationary Krylov complexity","url":"/paper/2401.09307","section":"introduction","sentence":"The modified dispersion in inflation was proposed by Ref. [ref] , various frameworks of quantum gravity will lead to this kind of modified dispersion relation [ref] , meanwhile it has many phenomenological implications [ref] , such as string cosmology, DBI inflation, loop gravitational cosmology $e.t.c$.","intent_p":0.94,"contests_p":null},{"arxiv_id":"2607.09408","title":"Circuit and Krylov complexity of primordial perturbations of modified gravity in inflation","url":"/paper/2607.09408","section":"introduction","sentence":"Originally proposed for inflation in [ref] , MDRs naturally emerge from various quantum gravity frameworks [ref] and carry rich phenomenological implications for string cosmology, DBI inflation, and loop quantum gravity cosmology [ref] .","intent_p":0.93,"contests_p":null},{"arxiv_id":"0906.3341","title":"Primordial perturbation with a modified dispersion relation","url":"/paper/0906.3341","section":"Introduction","sentence":"A modified dispersion relation can also be derived in the models of modified gravity, such as trans-Planckian physics [ref] , noncommutative field approach [ref] , loop quantum gravity [ref] , Lorentz-violating models [ref] , and so on.","intent_p":0.86,"contests_p":null},{"arxiv_id":"0708.1871","title":"Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality","url":"/paper/0708.1871","section":"Introduction","sentence":"See Refs. [ref] for examples.","intent_p":0.85,"contests_p":null}]}],"unlabelled_sentences":4},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"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/hep-th/0009052"}}