We are an open source project and want to keep this as simple as possible for the Pilosa community.
The Pilosa Community Edition is licensed under the Apache License, Version 2.0, which allows you a lot of room to mod and / or ship something based off of Pilosa Community Edition. Pilosa Enterprise Edition is licensed separately; contact us for more details.
In order to protect both you and the Pilosa project, when you contribute we ask you to sign a CLA (contributor license agreement). You can do this through CLA Assistant at this link. Check out this great explanation that the Django Software Foundation wrote as to why they have a CLA. In the event you are contributing through your workplace, we have a custom CLA that you can contact us about.
Trademarks are a little different than software licenses. Read the actual policy here, but here is the gist of it. If you want to use our name or logo when, for example, hosting a meetup, that’s great. You might call it something like “Pilosa Meetup.” If you ship a product that uses Pilosa, from a trademark perspective, you would not want use just the Pilosa logo and “Pilosa” name; you can refer to us though. Again, read the official policy here if you want to tease out when it’s ok to use the Pilosa name and logos.