CREATE TABLE customer (
    id SERIAL PRIMARY KEY,
    name character varying(30) NOT NULL,
    created_at timestamp with time zone NOT NULL DEFAULT NOW()
);

conn, err := pgx.Connect(context.Background(), os.Getenv("postgres://user:@127.0.0.1:5432/dbname"))
    if err != nil {
        fmt.Fprintf(os.Stderr, "Unable to connection to database: %vn", err)
        os.Exit(1)
    }
    defer conn.Close(context.Background())

    _, err = conn.Exec(context.Background(), "INSERT INTO customer(name) values($1)", "something")
    if err != nil {
        log.Fatal(err)
    }

2019/08/14 09:24:26 ERROR: null value in column "created_at" violates not-null constraint (SQLSTATE 23502)
exit status 1