Yes, in Jain Dharma, if false information is spread and it causes harm, there can be pāp bandh.

But the degree of bondage depends on intention and inner state:

• If a person knows it is false and still spreads it, the pāp bandh is heavier.
• If a person truly believes it is true and speaks without deceit, the bondage is generally less severe than deliberate falsehood.
• Still, if the speech is careless, harmful, or causes delusion and suffering, it can create āśrava and bind pāp.

In Jain ethics, the main factors are:

• bhāva: intention
• pramāda: negligence/carelessness
• hiṃsā: harm caused to others
• satya: truthfulness

So, mistaken speech done innocently is not equal to intentional lying, but one should still be very careful, verify facts, and speak only what is true, beneficial, and non-harmful.

In short: yes, some pāp bandh can occur even when one thinks it is true, especially if the speech is careless or harmful; but it is lighter than deliberate false speech.