How can I make Primefaces selectonemenu off?

I need to use p: selectonemenu and disable it, i.e. it should be sent at the time of publication, but should be read-only. Please note that I do NOT want to use a disabled attribute, as this will prevent publication.

I read on this forum that this can be achieved using a hidden field, but I do not understand how this can be implemented. I would appreciate it if someone there could provide me some help in this regard.

<p:inputText id="cpr" value="#{customerbean.customer.cpr}">
    <p:ajax event="change" listener="#{customerbean.fetchCustomerDatafromCBS}" update="nationality address passportno name nationality dob address mailingaddress gender mobileno landlineno otherno email maritalstatus nochildren" immediate="true" >
         <f:param name="cprNumber" value="#{customerbean.customer.cpr}"/>
    </p:ajax>                 
    <f:validator validatorId="cprValidator" />                    
</p:inputText>   


<p:selectOneMenu id="gender" value="#{customerbean.customer.gender}" required="!#{customerbean.disabled}" requiredMessage="#{text['validation.error.required.gender']}" disabled="#{customerbean.disabled}">                      
    <f:selectItem itemLabel="Select One" itemValue="" noSelectionOption="true" />  
    <f:selectItem itemLabel="Male" itemValue="Male" />  
    <f:selectItem itemLabel="Female" itemValue="Female"  />  
</p:selectOneMenu>                

<p:inputText  type="hidden" value="#{customerbean.customer.gender}" />