I have an nested javascript object similar to this

const obj = {
  topLevelProp1: 'some',
  topLevelProp2: 'data',
  topLevelPropArr: [
    {
      uid: 'd7ed3623-e431-4bfa-85b3-8da14fa399c3'
      secLevelProp1: 123,
      secLevelPropArr: [
        {
          uid: '15562309-22b7-4b11-a12e-b3374f0a7636',
          thirdLevelProp1: 'a plain value',
          thirdLevelProp2: {
            a: 'I am',
            b: 'a nested',
            c: 'object',
          }
        },
        {
          uid: '9394f313-b7bf-45fa-b8f3-683832ff7aa2',
          thirdLevelProp1: null,
          thirdLevelProp2: {
            a: 'I am also',
            b: 'another nested',
            c: 'object !!!',
          }
        }
      ]
    },
    {
      uid: '04a487c6-9624-4b2e-8411-59a69c14f1e3'
      secLevelProp1: 456,
      secLevelPropArr: [
        {
          uid: '58d4a3fd-734c-4c22-a0e3-f669e6ec7af3',
          thirdLevelProp1: 'another plain value',
      ],
    }
  ],
  
};  

The uid property values are unique for any given nested object (they are uuid v4 strings)

I also have an array of strings, describing a path to some nested property which looks like this:

const paths = [
  'topLevelProp2',
  '04a487c6-9624-4b2e-8411-59a69c14f1e3.secLevelProp1',
  'd7ed3623-e431-4bfa-85b3-8da14fa399c3.9394f313-b7bf-45fa-b8f3-683832ff7aa2.thirdLevelProp2.a',
  'd7ed3623-e431-4bfa-85b3-8da14fa399c3.9394f313-b7bf-45fa-b8f3-683832ff7aa2.thirdLevelProp2.c'

]

Instead of the keys of the array properties, the uid value of the contained object is used.

So the string'd7ed3623-e431-4bfa-85b3-8da14fa399c3.9394f313-b7bf-45fa-b8f3-683832ff7aa2.thirdLevelProp2.a' represents actualy the path 'topLevelPropArr.0.secLevelPropArr.1.thirdLevelProp2.a' in the more usual path-in-object notation.

I want to filter my object in a way, so it will only contain (all nested) properties included in the array of paths.

Using the above example, filtering obj by paths would result in:

{
  topLevelProp2: 'data',
  topLevelPropArr: [
    {
      secLevelProp1: 456,
      secLevelPropArr: [
        thirdLevelProp2: {
            a: 'I am also',
            c: 'object !!!',
          }
      ]
    }, 
    {
      secLevelProp1: 456,
    }  
  ]
  
}

Keeping the order of items in the arrays is not necessary.