Building up on Shepmaster's answer and adding serialization.
use serde::ser::Error;
use serde::{Deserialize, Deserializer};
use serde::{Serialize, Serializer};
// #region ------ JSON Absent support
// build up on top of https://stackoverflow.com/a/44332837
/// serde Valueue that can be Absent, Null, or Valueue(T)
#[derive(Debug)]
pub enum Maybe<T> {
    Absent,
    Null,
    Value(T),
}
#[allow(dead_code)]
impl<T> Maybe<T> {
    pub fn is_absent(&self) -> bool {
        match &self {
            Maybe::Absent => true,
            _ => false,
        }
    }
}
impl<T> Default for Maybe<T> {
    fn default() -> Self {
        Maybe::Absent
    }
}
impl<T> From<Option<T>> for Maybe<T> {
    fn from(opt: Option<T>) -> Maybe<T> {
        match opt {
            Some(v) => Maybe::Value(v),
            None => Maybe::Null,
        }
    }
}
impl<'de, T> Deserialize<'de> for Maybe<T>
where
    T: Deserialize<'de>,
{
    fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
    where
        D: Deserializer<'de>,
    {
        let d = Option::deserialize(deserializer).map(Into::into);
        d
    }
}
impl<T: Serialize> Serialize for Maybe<T> {
    fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
    where
        S: Serializer,
    {
        match self {
            // this will be serialized as null
            Maybe::Null => serializer.serialize_none(),
            Maybe::Value(v) => v.serialize(serializer),
            // should have been skipped
            Maybe::Absent => Err(Error::custom(
                r#"Maybe fields need to be annotated with: 
  #[serde(default, skip_serializing_if = "Maybe::is_Absent")]"#,
            )),
        }
    }
}
// #endregion --- JSON Absent support
And then you can use it this way:
#[derive(Serialize, Deserialize, Debug)]
struct Rect {
    #[serde(default, skip_serializing_if = "Maybe::is_absent")]
    stroke: Maybe<i32>,
    w: i32,
    #[serde(default, skip_serializing_if = "Maybe::is_absent")]
    h: Maybe<i32>,
}
// .... 
let json = r#"
{
  "stroke": null,
  "w": 1
}"#;
    
let deserialized: Rect = serde_json::from_str(json).unwrap();
println!("deserialized = {:?}", deserialized);
// will output: Rect { stroke: Null, w: 1, h: Absent }
let serialized = serde_json::to_string(&deserialized).unwrap();
println!("serialized back = {}", serialized);
// will output: {"stroke":null,"w":1}
I wish Serde had a built-in way to handle JSON's null and absent states.
Update 2021-03-12 - Updated to Maybe::Absent as it is more JSON and SQL DSL idiomatic.
The catch with this approach is that we can express:
type | null with the default Option<type> 
type | null | absent with Maybe<type> 
But we cannot express
The solution would be to refactor Maybe to just have ::Present(value) and ::Absent and support Maybe<Option<type>> for the type | null | absent. So this will give us full coverage.
type | null with the default Option<type> 
type | absent with Maybe<type> 
type | absent | null with Maybe<Option<type>> 
I am trying to implement this without adding a #[serde(deserialize_with = "deserialize_maybe_field")] but not sure it is possible. I might be missing something obvious.