RiceHigh reader OGL (Click here) shared some more detail about the upcoming 40mm lens for the K-01 system:
smc PENTAX-DA 40mmF2.8 XS Specification:

Lens Mount: PENTAX KAF Mount
Focal Length: 40mm (Equivalent to 61mm in 35mm format) (My Note: That is, a K-mount mirrorless system with an APS-C sized sensor!)
Aperture: F2.8
Minimum Aperture: F22
Lens Construction: 5 elements in 4 groups
Angle of View: 39° (with PENTAX D-SLR camera body)
Minimum Focusing Distance: 0.4m
Maximum Magnification: 0.13x
Number of Diaphragm Blades: 9
Filter Diameter: 27mm
Maximum Diameter & Minimum Length: 62.9mm x 9.2mm
Weight: 52g

1. Exterior design by Marc Newson
Together with the PENTAX K-01 camera body, the exterior of this lens has been designed by Marc Newson. Mounting this lens on the K-01 results in a highly stylish imaging tool.

2. Easy-to-use, super-thin lens for everyday use
This unifocal standard lens offers a focal length equivalent to 61mm in the 35mm format, and measures a mere 9.2 millimeters in length, making it the world’s thinnest interchangeable lens. Thanks to its super-thin design, it is highly portable and easy to store and carry. Its optics were designed based on those of the acclaimed smc PENTAX-DA 40mm F2.8 Limited lens. Its maximum aperture of F2.8 produces sharp, bright images in a wide range of applications, including snapshots, scenic photos, portraits, and even incident-light indoor shooting.

3. Exceptional image-description
In addition to numerical evaluations made by various testing machines, PENTAX has also conducted an image-quality evaluation of hundreds of images actually taken with this lens. As a result, it not only offers outstanding specifications, but also demonstrates exceptional image descriptive power and an image rendition unique to this lens. It features a round-shaped diaphragm, which produces a smooth, natural bokeh (out-of-focus) effect in the background.

4. SP coating to block dirt and dust
The front surface of this lens is treated with SP (Super Protect) coating, which applies an exclusive fluorine compound to the lens surface through a vapor deposition process. This SP coating not only repels dust, water and grease, but also makes it easy to wipe off oily stains such as fingerprints and cosmetics.

It is further noted in another reply comment of his that the new K-01 will not have any viewfinder, no EVF nor OVF neither.

This could be the first image of the upcoming new Pentax K-01 mirrorless camera. It has been posted at Dpreview forum. The poster said he found it on a unnamed Chinese forum. Yeah, always blame anonymous Chinese for leaks without to mention the source :)

As you know the specs are already out:

• Pentax new mirrorless camera will be announced by CP + in February.
• The name is K-01
• K-mount!
• Black & white body color (black keynote), white and black (white tone), black and yellow (based on black and white, yellow leather) three different colors.
• The sensor is the same spec K-5 (). And same rear LCD.
• Full HD video
• Shutter speed to 1 / 4000 p to 30 seconds
• Contrast AF, AF 81 Split
• Built-in pop-up flash
• 121mm width, 79mm height, 59mm depth
• 560g in weight with battery
• designed by the designer who designed talby from au (i.e. Japanese mobile phone sold in 2004)
• it looks more like Optio than K series; not like GXR
• comes with a new lens: DA 40mm F2.8XS
• three lens kits with DA40XS and lenses already on market
• mirrorless but whether there is an EVF or it is built in is not revealed

via Photorumors.