An anti tripping safety pin.
Here is the explanation from my contact at the Manufacture:
" In order to guarantee optimum rate accuracy, the detent escapement has a highly uncommon and extremely hard to make safety system: an anti-tripping safety pin placed on the hairspring.
A detent escapement watch starts to “trip” when the balance over-rotates, for example due to an impact, and releases the detent a second time, i.e. when a single balance oscillation releases two teeth on the escapement wheel, and therefore moves the small seconds hand forward by two seconds instead of one.
To prevent this phenomenon, a pin is fashioned from a small steel bar and then threaded onto and fastened on the hairspring to prevent the detent from being released a second time. Since this pin measures 1.85 mm in length with a diameter of 0.07 mm, we can imagine the difficulty of making this part and positioning it with great accuracy on the balance to ensure that the safety system works. ".
Best,
Nicolas