CONSULT ROUND: Hypercalcemia and Lithium

Lithium can manifest in renal disease in many forms. From Tubular interestitial disease to Nephrogenic DI to hypercalcemia to Glomerular disease.
Hypercalcemia and Lithium directly can lead to a Nephrogenic DI.

What are the reasons lithium causes hypercalcemia?
I thought there was only one reason
But there are three:
1. It directly causes a increase in parathyroid production.
2. It raises the threshold for the calcium sensing of the PTH gland
3. It directly inhibits calcium transport across cells
References
http://www.ncbi.nlm.nih.gov/pubmed/17060004
Image source:
http://www.irishhealth.com/clin/depression/images/lithium.jpg