Consider the following sentence:

After she faked her death, she kept the fact that she was alive a secret from the rest of the world.

Here "the fact that she was alive" is a clear reference to her state of life, but I'd like to express this idea more concisely. It could be rephrased:

After she faked her death, she kept her being alive a secret from the rest of the world.

Unfortunately, this is a bit awkward and could possibly become unclear without the starting clause ("After she faked her death").

Are there any other options?