5.    It is defined as the details given by the author in order to support his/her claims.*SummarizingTextual evidenceReferencingParaphrasing

The statement describes a key concept in writing and argumentation, which pertains to how authors substantiate their claims. Among the options provided:

1. Summarizing: This refers to providing a brief overview of the main ideas of a text. It's not specifically focused on supporting claims with details.

2. Textual evidence: This is the correct answer, as it refers to the specific details and citations from the text that an author uses to back up their assertions or claims.

3. Referencing: This involves acknowledging sources in a formal manner, but it doesn’t necessarily denote the use of detailed support.

4. Paraphrasing: This is the act of rewording a text while maintaining the original meaning, which can be a way to support claims but isn’t solely focused on the details.

Therefore, the best choice in this context is Textual evidence, as it directly pertains to the details provided by the author to support their claims.