Let's consider only academic positions within US higher ed.
The administrative requirements vary on what documents must be in place at any given time during a hiring process for an academic position. At a minimum, all paperwork requested in the job advertisement must be on file before any negotiations can begin on a formal letter of offer. This typically includes the CV, transcripts, and letters of recommendation (LoRs) as well as teaching, research, and possibly diversity statements. Colleges or departments are generally at liberty to put their own spin on what documents have to be in place in advance. With regard to LoRs, one position may require these to be on file before they even set up a virtual interview, another may only ask for them during the virtual interview, and another may ask for them by example only on the top three candidates after conducting a virtual interview with ten applicants.
Federal hiring guidelines restrict that colleges or departments are not permitted to request any additional documents that are not officially or indirectly required by the publicly posted job advertisement. What is an example of an indirect requirement for documents? Suppose a job advertisement states that a PhD in field XYZ is required, but the advertisement also does not directly ask for transcripts as part of the application file. Be assured with this language that you may (and likely will) be asked later to submit graduate transcripts to prove that you have a PhD in field XYZ before any negotiations will be initiated with you on a potential offer.
Until the position is filled, the standard reply to any request by an applicant for information on their status is the equivalent of "The position is still open and processing on applications is still on-going". In other words, you will never hear that your application has been declined, only that the position has been filled or the search has been closed. By example then, a third-ranked applicant in a list of top three from ten in a virtual interview has the distinction to be on hold until after the first applicant or the second applicant either accepts or declines an offer (or until a decision is made to close the search without filling the position).