How can I omit time signature from the very first measure, but then add it at the second one?

[Vinny]

Trying to write a piece where the very first bar is completely devoid of any
time signature indicators. Under the hood it's okay if the measure is a 4/4,
I just don't want that to be visible on the PDF. The reason is, one of the
musicians in the group will play an unmetered, improvised intro that ends on
the first beat of the first metered measure, so I want to put an empty
measure there with a simple s1 and a markup for reference. I realize this is
unconventional.

I've tried \cadenzaOn and \cadenzaOff before the first occurrence of a \time
statement, I've \hide TimeSignature and even \omit TimeSignature, but it
seems I haven't found the correct way of accomplishing this. I'm really just
trying anything here. I couldn't find a good solution on  Lilypond's
unmetered music section
<http://lilypond.org/doc/v2.18/Documentation/notation/displaying-rhythms#unmetered-music>
 
.

Also if I make the staff \with { \remove "Time_signature_engraver" } the
first time signature does vanish, but so do all time signatures everywhere,
which is not intended.

The attached image is a mockup of the intended score, made with Photoshop.
Thanks in advance.

<http://lilypond.1069038.n5.nabble.com/file/t5079/mockup.png> 



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