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tokens: ACKNOWLEDGEMENTS We thank Prof. W. A. Coles and the anonymous referee for very helpful discussions on the interpretation of curvature variation. This work was supported by the National Natural Science Foundation of China (U15311243), the National Basic Research Program of China and the 973 Program (2015CB857101, XDB23010200, 11690024, 11373011, 11303093, U1431113, 11178001 and 11573008). KJL is supported by the Max-Planck Partner Group.