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Unity.Mathematics
The C# math library used in Unity providing vector types and math functions with a shader like syntax
I might have some code that solves your problem. I have a package of Unity utilities, and one of the things in that package is my custom random class, JRandom. JRandom is deterministic across different platforms (at least, as far as I know). Additionally, it's significantly faster that Unity's System.Random, and it contains a plethora of extra methods for getting random values that are more powerful than those in System.Random.
com.unity.mathematics package comes with a new random generator that should be deterministic as well as many other math types and functions for DOTS / Burst