{"arxiv_id":"1403.5883","incoming":{"papers":46,"sentences":66,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1403.4589","title":"Running Spectral Index from Large-field Inflation with Modulations Revisited","url":"/paper/1403.4589","section":"Introduction","sentence":"Along the lines of Ref. [ref] , we study the recently proposed multi-natural inflation [ref] as an example.","intent_p":0.93,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":22,"sentences":25,"quotes":[{"arxiv_id":"1908.06071","title":"QCD Axion on Hilltop by a Phase Shift of $\\pi$","url":"/paper/1908.06071","section":"Model","sentence":"Let us here consider the so-called multi-natural inflation [ref] , where multiple cosine terms conspire to realize a sufficiently flat potential.","intent_p":0.84,"contests_p":null},{"arxiv_id":"1702.03284","title":"The ALP miracle: unified inflaton and dark matter","url":"/paper/1702.03284","section":"Introduction","sentence":"A simple extension of the natural inflation is a multi-natural inflation [ref] , where the axion potential receives multiple sinusoidal functions with different height and period.[ The axion in a potential with multiple sinusoidal terms was also discussed in a context of dark matter [ref] and curvaton [ref] . ] In particular, a small-field axion hilltop inflation model was first realized in this context.","intent_p":0.83,"contests_p":null},{"arxiv_id":"1903.00462","title":"ALP inflation and Big Bang on Earth","url":"/paper/1903.00462","section":"Introduction","sentence":"This case was studied in e.g. Refs. [ref] with a main focus on the parameter region where inflation scale is so high that observable primordial tensor modes are generated.","intent_p":0.86,"contests_p":null},{"arxiv_id":"1710.11107","title":"The ALP miracle revisited","url":"/paper/1710.11107","section":"The ALP inflation","sentence":"The model with multiple cosine terms is called multi-natural inflation [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"1506.01253","title":"Moduli backreaction and supersymmetry breaking in string-inspired inflation models","url":"/paper/1506.01253","section":"Natural inflation models without stabilizer fields","sentence":"A class of natural inflation models without the need for a stabilizer field was proposed in [ref] and developed further in [ref] .","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":40},"outgoing":{"papers":34,"sentences":50,"groups":[{"kind":"background","label":"Cites as background","papers":16,"sentences":16,"quotes":[{"arxiv_id":"1106.1293","title":"Note on moduli stabilization, supersymmetry breaking and axiverse","url":"/paper/1106.1293","section":"Setup and saxion stabilization in the case of one axion","sentence":"The saxion can be similarly stabilized for a more general Kähler potential via the same equation of $∂_ΦK = 0$; see Refs. [ref] for detailed discussions on the saxion stabilization.","intent_p":0.8,"contests_p":null},{"arxiv_id":"0808.0706","title":"Gravity Waves and Linear Inflation from Axion Monodromy","url":"/paper/0808.0706","section":"Introduction","sentence":"For various large-field inflation models and their concrete realization in the standard model as well as supergravity and superstring theory, see e.g. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0811.1989","title":"A Natural Framework for Chaotic Inflation","url":"/paper/0811.1989","section":"Introduction","sentence":"For various large-field inflation models and their concrete realization in the standard model as well as supergravity and superstring theory, see e.g. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1006.2801","title":"Linear Inflation from Running Kinetic Term in Supergravity","url":"/paper/1006.2801","section":"Introduction","sentence":"For various large-field inflation models and their concrete realization in the standard model as well as supergravity and superstring theory, see e.g. [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1008.2956","title":"Running Kinetic Inflation","url":"/paper/1008.2956","section":"Introduction","sentence":"For various large-field inflation models and their concrete realization in the standard model as well as supergravity and superstring theory, see e.g. [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":34},"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/1403.5883"}}