The phrase "dated with" is correct and usable in written English.
You can use it to refer to the date of something. For example, "This document is dated with October 5th, 2020."
They have double dated with their wives.
Many of his pictures cannot be dated with any certainty.
This core is dated with high accuracy (better than 1%) using radiometric and tephroanalysis methods, for the last 2000 years.
Before and after the individual treatments, the organic fraction was dated with 14C.
Events in David Sedaris's early creative life might be dated with the abbreviation "B.C". — Before Crumpet.
Zapotec occupation of the site may be dated with certainty by about the 1st century bce.
He was married; they double-dated with her boyfriend at the time.
The individual tree growth series were cross-dated with a reference chronology with the software PAST4 (Personal Analysis System for Tree-Ring Research, SCIEM, version 4.3.1014).
To give an illustration, when The Exorcist first came out, I double-dated with a friend and we saw it at a drive-in theater.
The stratigraphy has been cross-dated with other cores from the region using standard dendrochronological methods (Fritts, 1976; Carilli et al., 2010).
This is typically long-dated with deferrable coupons which is why regulators treated it as tier-one capital.
