A complete historical summary of all recorded documents affecting the title of a property is known as

A title report is a document prepared by a title company that outlines the findings of a title search but does not always include the full historical summary of all recorded documents. It identifies current ownership, liens, and other issues but is generally less comprehensive than an abstract of title.

A certificate of title is a legal document that certifies the ownership of a property and confirms that the title is clear, meaning there are no outstanding claims or liens against it. While it reflects the current state of the title, it does not provide the historical context or summary of documents affecting the title like an abstract of title does.

A title binder is a temporary insurance policy that protects against potential claims against a property title, pending the issuance of a final title insurance policy. It is not a summary of recorded documents, and thus does not fulfill the definition presented in the question.