fidelity

Faithfulness to one's moral or civic duties.

the fidelity of the civil servants

Loyalty to one's spouse or partner, including abstention from cheating or extramarital affairs.

Accuracy, or exact correspondence to some given quality or fact.

The degree to which a system accurately reproduces an input.

By placing them closer to the source, we can reduce the number of messages in the system and this in turn is likely to improve the fidelity of the system.

Faithfulness to God and one's religion.

Near-synonym: faith