I'm developing a crash game similar to Aviator and want to implement a provably fair system. I understand the basic concept of using a server seed, client seed, and nonce to generate random outcomes, but I'm struggling with the specific algorithm for crash point calculation.

Most documentation explains provably fair for classic casino games, but crash games have different requirements. The game should:

- Generate a random crash point for each round

- Allow players to verify the result was predetermined

- Prevent manipulation from either side

What's the recommended approach for crash point generation? I've reviewed several implementations but can't find consensus on:

1. What cryptographic hash function to use (SHA-256, HMAC, etc.)

2. How to convert the hash output to a crash multiplier

3. The optimal frequency distribution for crash points

Here's an example of a working implementation I'm trying to understand: Aviator Games

Any code examples or detailed explanations of the mathematics behind crash point calculation would be greatly appreciated.