private String getMinimum(FacesContext context, boolean isIntegral, InputNumber component) {
        String minimum = component.getMinValue();
        if (isIntegral && PositiveClientValidationConstraint.MIN_VALUE.equals(minimum)) {
            minimum = "0";
        }

        if (minimum == null) {
            minimum = determineMinimumFromType(context, component);
        }

        return formatForPlugin(minimum);
    }
If using @Positive annotation and this is an Integer default to 0 instead of 0.0001.
@param context faces context
@param isIntegral flag whether the (expected) value is integral
@param component the component
@return the minimum value of the component
primefaces/src/main/java/org/primefaces/component/inputnumber/InputNumberRenderer.java