A distributed hash table (DHT) based logging service utilizes a DHT to store an event log or another type of data. For example, applications can utilize the logging service to store data that logs aspects of their operation. A key/value storage service can provide access to the DHT. The data stored in the DHT can be organized into a “skipchain” data structure. The data structure includes nodes storing the data that are distributed across partitions of the DHT. Nodes in the data structure can identify “redundancy nodes” and “skip nodes.” When a request is received to add new data to the skipchain data structure, a new node is stored in the DHT that includes the new data. A head node for the data structure is updated in the DHT. The head node can also be utilized to recover from a failure to write an internal node to the data structure.