Cáceres, ElenaCastillo Vásquez, RodrigoVilar López, Alejandro2021-08-102021-08-102021J. High Energ. Phys. 2021, 186. https://doi.org/10.1007/JHEP05(2021)186http://hdl.handle.net/10347/26757We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called splitting problem manifests itself, and we explicitly show that the two common splittings present in the literature — minimal and non-minimal — produce different functionals. We apply our results to the particular examples of a boundary disk and a boundary strip in a state dual to 4- dimensional Poincaré AdS in Einsteinian Cubic Gravity, obtaining the bulk entanglement surface for both functionals and finding that causal wedge inclusion is respected for both splittings and a wide range of values of the cubic couplingeng© The authors, 2021. Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are creditedAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/AdS-CFT CorrespondenceGauge-gravity correspondencejournal article10.1007/JHEP05(2021)1861029-8479open access