Lipitor is a medication used to lower cholesterol levels, while blood thinners are used to prevent blood clots. According to the sources provided, there are no known contraindications for combining Lipitor with blood thinners.

The first source [1] provides information about Lipitor, including its active ingredient, atorvastatin, and its mechanism of action. The second source [2] is a study that investigated the safety and efficacy of using Lipitor in combination with blood thinners. The study found that there were no significant adverse effects associated with the combination of Lipitor and blood thinners, and that the combination was effective in reducing the risk of cardiovascular events.

The third source [3] provides information about herbal supplements and their potential interactions with medications. While this source is not directly related to the question, it is important to note that herbal supplements can interact with medications, including blood thinners and Lipitor. Therefore, it is important to consult with a healthcare provider before taking any herbal supplements while on these medications.

In conclusion, based on the sources provided, there are no known contraindications for combining Lipitor with blood thinners. However, it is important to consult with a healthcare provider before taking any medications or supplements, including herbal supplements, to ensure safety and efficacy.

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8861410/
[3] https://www.mayoclinic.org/healthy-lifestyle/consumer-health/in-depth/herbal-supplements/art-20046488