Showing custom 404 error page with standard http package

I usually do this:

package main

import (
    "fmt"
    "net/http"
)

func main() {
    http.HandleFunc("https://stackoverflow.com/", homeHandler)
    http.HandleFunc("/smth/", smthHandler)
    http.ListenAndServe(":12345", nil)
}

func homeHandler(w http.ResponseWriter, r *http.Request) {
    if r.URL.Path != "https://stackoverflow.com/" {
        errorHandler(w, r, http.StatusNotFound)
        return
    }
    fmt.Fprint(w, "welcome home")
}

func smthHandler(w http.ResponseWriter, r *http.Request) {
    if r.URL.Path != "/smth/" {
        errorHandler(w, r, http.StatusNotFound)
        return
    }
    fmt.Fprint(w, "welcome smth")
}

func errorHandler(w http.ResponseWriter, r *http.Request, status int) {
    w.WriteHeader(status)
    if status == http.StatusNotFound {
        fmt.Fprint(w, "custom 404")
    }
}

Here I’ve simplified the code to only show custom 404, but I actually do more with this setup: I handle all the HTTP errors with errorHandler, in which I log useful information and send email to myself.