The paper explores the Integer Quantum Anomalous Hall (IQAH) effect in pentalayer rhombohedral graphene (R5G) aligned with a hexagonal Boron-Nitride (hBN) substrate. The authors explain the origin of the Chern band and the resulting Anomalous Hall Crystal (AHC) state, which is stabilized by electron-electron interactions. They propose a simplified low-energy description to predict the Hartree-Fock phase diagram accurately, viewing the system as a "superconducting ring" in momentum space. The moiré potential is discussed, and it is shown that even without the moiré potential, the AHC is not favored over a correlated Fermi liquid. However, the moiré potential can push the system into a "moiré-enabled AHC." The paper also discusses the possibility of higher Chern bands and the competition between the AHC and Wigner Crystal (WC) phases. The authors provide a detailed analysis of the phase diagram and the role of the Hartree term in stabilizing the AHC over the WC. They conclude by suggesting that the moiré-enabled AHC could be stabilized at certain alignment angles between R5G and hBN.The paper explores the Integer Quantum Anomalous Hall (IQAH) effect in pentalayer rhombohedral graphene (R5G) aligned with a hexagonal Boron-Nitride (hBN) substrate. The authors explain the origin of the Chern band and the resulting Anomalous Hall Crystal (AHC) state, which is stabilized by electron-electron interactions. They propose a simplified low-energy description to predict the Hartree-Fock phase diagram accurately, viewing the system as a "superconducting ring" in momentum space. The moiré potential is discussed, and it is shown that even without the moiré potential, the AHC is not favored over a correlated Fermi liquid. However, the moiré potential can push the system into a "moiré-enabled AHC." The paper also discusses the possibility of higher Chern bands and the competition between the AHC and Wigner Crystal (WC) phases. The authors provide a detailed analysis of the phase diagram and the role of the Hartree term in stabilizing the AHC over the WC. They conclude by suggesting that the moiré-enabled AHC could be stabilized at certain alignment angles between R5G and hBN.