A single file is divided into small bits and encrypts them using the highest possible encryption available and distribute it on the network. Even if they cracked the encryption the data they will get holds no value.
This doesn't matter: If a piece of a bomb building instruction booklet is coming from your IP, you're the main suspect. The issue is that at some point the file will need to be decrypted and if you want to publish a file on the net, there is no way that you can control only people who are not working in law enforcement are allowed to download it...
Also please elaborate on how I can prove that I actually store + host 10 TB of data while having these 10 TB attached to a Raspberry Pi on a 56k modem.