Meaning
A raw certified realization keeps the substantive reconstruction data together with the chosen certificate and auxiliary presentation choices.
It is a triple (X,c,e): X is the reconstruction datum, c certifies admissibility, and e is an auxiliary enhancement such as a selected anchor or root. Keeping these components separate allows their roles to be tested before any are forgotten.
Example (illustrative)
The same X may be accompanied by two valid certificates or two auxiliary anchors. These give different raw presentations. Whether they represent one intrinsic object is settled by the relevant certificate or enhancement reduction.
Scope and limits
“Raw” does not mean uncertified. It means the certificate and enhancement information has not yet been removed by the justified reductions.
Source
GAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theory. GAT VIII, Section 4.