A fabric interconnect system may provide a data path between nodes and/or processing elements within an interconnection fabric. Identifiers may be assigned to particular components associated with the interconnection fabric. These identifiers may uniquely identify the particular components, and may indicate a path between a root node and a particular component. In some embodiments, the identifiers include turn counts and turn values that specify a turn-based bath from the root node to a particular component. One or more identifier acceptance rules may be used in order to determine whether a given component should accept and store a particular identifier that the component receives. For example, a lower priority identifier may be discarded in favor of a higher priority identifier.