Is a fingernail that has been cut and later bled from its place, with its current location unknown, to be ruled ritually impure?

The fingernail of a human is considered pure according to the majority of jurists, whether the human is alive or dead, and whether the fingernail is attached to them or separated from them. However, blood that emerges from the area of the fingernail is impure, and the fingernail becomes impure if blood adheres to it after it has been removed.