The character's original constitution limits the amount of times they can be restored to life by magical means of any kind, excepting a wish.¹⁾

Characters who are restored to live by raise dead, resurrection or a resurrection effect such as a rod of resurrection lose 1 CON permanently.²⁾ Since reincarnation changes ability scores, the CON loss is not considered, though the above rule regarding original CON is still relevant.

Being raised by a wish does not cause CON loss, nor does it count against times raised.

Unless the ability explicitly says so, the creature does not change form upon death.³⁾

Whether a creature can be raised from the dead by raise dead or resurrection depends on its original form. For example, a human druid who died while shape changed into giant bat form could be raised, but an elven or half-orc who died while polymorphed into a human could not.⁴⁾ When the creature is raised, it will remain in the form it died in (including wounds and poison, as normal, unless the means used to raise state otherwise).