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tokens: ACKNOWLEDGEMENTS We thank Qiusheng Gu, Paul Hewett, George Lansbury, Peter McGill, Leigh Smith, and Zhonglue Wen for helpful discussions. We thank the anonymous referee for a thoughtful report. YS was supported by the Royal Society – K. C. Wong International Fellowship (NF170995). SEK was partially supported by the National Science Foundation (NSF) grant AST-1813881 and Heising–Simons Foundation grant 2018-1030. This work made used of the Whole Sky Database (wsdb) created by Sergey Koposov and maintained at the Institute of Astronomy, Cambridge, by Sergey Koposov, Vasily Belokurov, and Wyn Evans with financial support from the Science Technology Facilities Council (STFC) and the European Research Council (ERC). This software made use of the q3c software (Koposov Bartunov 2006 ). This work has made use of data from the European Space Agency (ESA) mission Gaia ( https://www.cosmos.esa.int/gaia ), processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.cosmos.esa.int/web/gaia/dpac/consortium ). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement. This publication makes use of data products from the Wide-field Infrared Survey Explorer , which is a joint project of the University of California, Los Angeles, and the Jet Propulsion Laboratory/California Institute of Technology, and NEOWISE, which is a project of the Jet Propulsion Laboratory/California Institute of Technology. WISE and NEOWISE are funded by the National Aeronautics and Space Administration.