warfarin
Warfarin is the classic oral anticoagulant, used for decades. Picture the liver as a factory that builds several clotting factors using vitamin K as a tool; warfarin takes that tool away, so the factory turns out fewer working factors and the blood clots more slowly.
Because those factors take days to clear and rebuild, warfarin acts gradually and its effect is sensitive to diet, other drugs, and illness. To stay in the safe window it requires regular blood testing of the INR (international normalized ratio), with the dose nudged up or down to keep clotting slowed but not dangerously so.
Despite the bother of monitoring, warfarin remains essential in situations where newer drugs are not proven, most notably mechanical prosthetic heart valves and certain other conditions. It is cheap, well understood, and can be reversed with vitamin K or clotting-factor products when bleeding occurs.
Its narrow margin between too little and too much effect is its defining caveat: vitamin-K-rich foods, antibiotics, and many common medications can swing the INR, so consistency and communication with the care team matter.