{"arxiv_id":"1101.5487","incoming":{"papers":32,"sentences":67,"groups":[{"kind":"contests","label":"Contests it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2005.03030","title":"Observability of Dark Matter Substructure with Pulsar Timing Correlations","url":"/paper/2005.03030","section":"Doppler delay","sentence":"Each event causes a jump in the pulsar frequency, signaling that a series of such step functions causes the pulsar frequency to undergo a random walk.[Ref. [ref] dropped the second term in Eq. [ref], which is necessary for obtaining this random walk behavior.] The third term in Eq. [ref] corresponds to a transient – the signal does not accumulate in the pulsar frequency with each passing event – as in Ref. [ref] ; we expect such terms to have a subdominant effect and hence drop them.","intent_p":0.92,"contests_p":0.86}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":4,"sentences":4,"quotes":[{"arxiv_id":"1310.5412","title":"Transient Weak-Lensing by Cosmological Dark Matter Microhaloes","url":"/paper/1310.5412","section":"Transient Weak Lensing in the perturbed Universe: Geodesics Method","sentence":"In writing Eq. ([ref]), we use the so-called moving sheet approximation [ref] , where we assume the time dependence of the lensing potential is entirely due to the coherent transverse motion of a lensing sheet.","intent_p":0.98,"contests_p":null},{"arxiv_id":"2005.03030","title":"Observability of Dark Matter Substructure with Pulsar Timing Correlations","url":"/paper/2005.03030","section":"Relationship with the Power Spectrum Approach","sentence":"Finally, [equation] and the rest of the derivation for the signal correlator proceeds as in Ref. [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"1901.04490","title":"Pulsar Timing Probes of Primordial Black Holes and Subhalos","url":"/paper/1901.04490","section":"Conclusions","sentence":"Nevertheless, they may leave an imprint in pulsar timing arrays that can detected using a statistical prescription as considered in [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2306.13122","title":"Macroscopic Dark Matter Detection with Gravitational Wave Experiments","url":"/paper/2306.13122","section":"Derivation of the Signal","sentence":"The contribution from mirror motion, corresponding to the Doppler effect, is the differential position shift between the two mirrors during one photon roundtrip obtained by solving the mirror geodesic equations, which, to leading order, can be written as [ref] [equation] The choice of initial conditions in the above time integrals can be subtle depending on the gauge choice, so it is more convenient to work with the mirror acceleration instead.","intent_p":0.89,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2005.03030","title":"Observability of Dark Matter Substructure with Pulsar Timing Correlations","url":"/paper/2005.03030","section":"Relationship with the Power Spectrum Approach","sentence":"In this section, we explain the difference between this work and the power spectrum procedure adopted in Ref. [ref] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"1801.07847","title":"Detectability of Small-Scale Dark Matter Clumps with Pulsar Timing Arrays","url":"/paper/1801.07847","section":"Discussion","sentence":"Although some search methods have been already proposed for UCMHs (e.g., [ref] ), our approach is complementary to these previous approaches.","intent_p":0.81,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":12,"sentences":16,"quotes":[{"arxiv_id":"2203.08161","title":"Sensitivity Estimation for Dark Matter Subhalos in Synthetic Gaia DR2 using Deep Learning","url":"/paper/2203.08161","section":"Introduction","sentence":"Strategies that aim to detect dark subhalos rely on measuring their gravitational signatures via stellar dynamics [ref] , gravitational lensing [ref] or pulsar timing [ref] and, in the case of several DM candidates, e.g. WIMPs, on detecting the flux of final stable particles produced by DM annihilation or decay (e.g. [ref] ).","intent_p":0.8,"contests_p":null},{"arxiv_id":"2209.03963","title":"Astrophysical Observations of a Dark Matter-Baryon Fifth Force","url":"/paper/2209.03963","section":"Limits from Pulsar Timing Arrays","sentence":"The use of PTAs to probe DM substructure has been extensively studied [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"2606.18329","title":"Projecting the ultimate pulsar timing sensitivity to dark matter substructure in a stochastic gravitational wave background","url":"/paper/2606.18329","section":"Introduction","sentence":"These effects have been studied as possible PTA probes of DM substructure in Refs. [ref] .","intent_p":0.94,"contests_p":null},{"arxiv_id":"2607.03533","title":"Pulsar Timing Sensitivity to Dark Matter Substructure in the Presence of a Stochastic Gravitational-Wave Background","url":"/paper/2607.03533","section":"Introduction","sentence":"The theoretical framework for using PTAs to detect DM substructure has been developed in a series of works over the past two decades [ref] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1801.07847","title":"Detectability of Small-Scale Dark Matter Clumps with Pulsar Timing Arrays","url":"/paper/1801.07847","section":"Introduction","sentence":"Previous studies considered the Shapiro time delay that is induced when an ultracompact DM halo crosses the line-of-sight between the Earth and a pulsar [ref] .","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":44},"outgoing":{"papers":7,"sentences":7,"groups":[{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1007.4228","title":"Astrometric Microlensing by Local Dark Matter Subhalos","url":"/paper/1007.4228","section":"INTRODUCTION","sentence":"It is worth mentioning that pulsar timing was also used to study other astronomical effects [ref] , as a recent example the effect of DM subhalos crossing the line of sight was studied in astrometric microlensing [ref] .","intent_p":0.95,"contests_p":null}]}],"unlabelled_sentences":6},"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/1101.5487"}}