Hartsfield's antimagic conjecture for trees

Let $T$ be a tree. An antimagic labeling of $T$ is a bijection $f:E(T)\to\{1,\ldots,|E(T)|\}$ such that the vertex weights

$$w(v)=\sum_{e\in E(v)}f(e)$$

are distinct for every pair of distinct vertices $u,v\in V(T)$. Hartsfield's tree antimagic conjecture. Every tree other than $K_2$ is antimagic, meaning that it admits an antimagic labeling. This is the tree-specific conjecture stated alongside the general connected-graph conjecture; its status is not resolved by the supplied source context.