guids的对称映射

是否有一个现有的安全实现来实现以下目标:

Guid original = Guid.NewGuid();
Guid inverted = MysteryImplementation(original, salt); // salt is some sort of input
Guid shouldBeOriginal = MysteryImplementation(inverted, salt);
Assert.AreEqual(original, shouldBeOriginal, "MysteryImplementation did no work");

EDIT:

As this got down voted (although I'm a bit unsure why), I think more background is needed:

In a place far far away, there is an application in which primary keys are stored as GUIDs. In this application these GUIDs are exposed to web clients.

In my pursuit of improving status quo I had an idea to map these GUIDs with user session data in order mitigate the risk of an accidental/malicious leakage of primary keys. Mapping these GUIDs has the added benefit that it would also allow easier implementation of working-copies for those objects that the GUIDs refer to.

Those were the reasons why I decided to start looking for "secure" way to map GUIDs.

To answer comments:

-Mapping should preserve the global uniqueness when compared to all other GUIDs (I wouldn't want those mapped GUIDs to collide with existing GUIDs).

-"Secure" in this context means that it should be impossible to figure out the original GUIDs without knowing the cipher key (a typical crypto req, which I think translates that the mapped GUIDs should have normalized distribution).

Guid original = Guid.NewGuid();
byte[] encrypted = Encrypt(original, key);
Guid decrypted = Decrypt(encrypted, key);