GTX 1070/Ti Bottleneck

What (how many) Screen (Resolution/FPS) are you running with it?

But should be fine.

And whats your main Disk? HDD or SSD

For what I read, if that i5 won't bottleneck a 1080 I doubt it will bottleneck a 1070ti. Of course asuming you are aiming for 1080p144hz or 1440p60hz.

It would bottleneck for sure but how hard it does depends on the games. In general, I assume you'd be able to use 60-70% of the GPU. That shouldn't be such a huge problem though, you can upgrade your CPU later.

Every PC has a bottleneck, don't worry about it. A 4670 is a fine CPU.

Bottlenecks are purely dependent on the current task a PC is doing. In theory there will be occasions where your GPU is bottlenecking your CPU.

my i5 blottlenecks my 1060, so...

i think it's ok if you play in 2.5k resolution

at 120/144hz the CPU will bottleneck that GPU. At 60hz though should be fine.
I'd also recommend getting a large 500GB-to-1TB SSD for faster load times if you can afford it.

I like to check with http://thebottlenecker.com/ (scroll to calculator)

Your CPU will be the only bottleneck. Not on everything, but it definitely will on something like Battlefield 1 for instance. Unless you can overclock that is.

something will always bottleneck. if not you would have the perfect system and thats not possible.
Your CPU might be on limit on big simulations that need a lot of cpu power but this should not be the big problem tbh. And your GPU will have problems with UHD+ everything on ultra in newer games...

BUT
this system sounds fine and you will have a lot of fun with it.