How to Unlock Fishing in Heartopia

Heartopia offers seven different hobbies, and this guide focuses on Fishing. We’ll cover everything you need to know to get started, including how to unlock the hobby, how to successfully catch fish using bait, and what you can do with your catch.


![The study of the XXZ spin model with [latex]S=1[/latex] reveals that even cumulants [latex]\Delta_k[/latex] for [latex]k=2,4,6[/latex] exhibit a power-law scaling with [latex]\delta E[/latex]-specifically, [latex]\Delta_k \propto \delta E^{k-1}[/latex]-across parameter sets [latex]\Delta=0.5, \Delta'=0.5[/latex], [latex]\Delta=1.5, \Delta'=0.5[/latex], and [latex]\Delta=1.5, \Delta'=0.0[/latex], as demonstrated through analysis of system sizes [latex]L=16, 18, 20[/latex] and the total spin current operator [latex]J_S[/latex], with a notable indication of a characteristic energy scale [latex]\Delta E_U[/latex].](https://arxiv.org/html/2601.10211v1/x1.png)




