New Update - But it looks like it only includes a new Music Icon. One thing to note also- this is the last update that will be available on UMD's.
http://us.playstation.com/support/systemupdates/psp/index.htm
Notices
Do not download or install updates using data other than official update data provided online or on disc media by Sony Computer Entertainment, and do not download or install updates by methods other than those described in the system documentation or on this website. If you download or install update data from another source, by another method, or with a PSP® system that has been altered or modified in any way, the PSP® system may not operate properly and may not be able to install the official update data. Any of these actions may void the PSP® system warranty and affect your ability to obtain warranty services and repair services from Sony Computer Entertainment.
This update is for PSP® systems purchased in North America. DO NOT update your PSP® system through this website if you purchased your system outside North America. There is no guarantee of proper operation with models sold outside North America.
The system software and system software updates installed on your system are subject to a limited license from Sony Computer Entertainment Inc. Refer to http://www.scei.co.jp/psp-eula for details.
If your PSP® system software version is 6.35 (or later), you do not need to perform this update. To check the version of your system software, go to (Settings) > (System Settings) > [System Information]. The information is shown in the [System Software] field.
This system software update includes all features contained in previous versions.
To play some software or use some features, you may first need to update the system software.
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The icon indicates features and functions that apply only to PSP-N1000 series (PSP®go) systems.
No icons indicates that the features and functions apply to all models of the PSP® system.
The PSP® system software version 6.35 update includes the following:
Music Unlimited powered by Qriocity™
[Music Unlimited powered by Qriocity™] has been added as a feature under (Music).
This update prepares your PSP® system for the upcoming launch of "Music Unlimited powered by Qriocity", a new, cloud-based, digital music service.
"Qriocity logo" and "Qriocity" are trademarks of Sony Corporation.
You can update your system software by any of the following methods:
System Update »
Update using the PSP® system's [System Update] feature.
Update using a PC »
Download the update data to a PC, and then save on Memory Stick™ media or system storage. Start the saved update data on your PSP® system to perform the update.
Update using a UMD™ »
Use the update data included on a UMD™ to perform the update.*
*As of November 19, 2009, this method is only available for updates up to version 6.10.