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based on an earlier version of the Wolfram Language.
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TagBox

TagBox[boxes, tag]
is a low-level box construct that displays as boxes but maintains tag to guide the interpretation of boxes on input.
  • TagBox provides a way to store hidden information in Mathematica output.
  • By convention, tag is typically a symbol that corresponds to the head of the interpreted form of boxes.
  • The following options can be given:
AutoDeleteFalsewhether to strip the TagBox if boxes are modified
DeletionWarningFalsewhether to issue a warning if boxes are deleted
EditableAutomaticwhether to allow boxes to be edited
SelectableAutomaticwhether to allow boxes to be selected
StripWrapperBoxesFalsewhether to remove StyleBox etc. from within boxes
  • If you modify the displayed form of TagBox[boxes, tag] only boxes will be modified, and there is no guarantee that correct correspondence with tag will be maintained.
TagBox does not change the appearance of its contents:
In[1]:=
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Out[1]//DisplayForm=
 
The standard formatting for some expressions uses TagBox to aid interpretation:
In[1]:=
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Out[1]=
The formatted result looks like this:
In[2]:=
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Out[2]=
Without the TagBox, this notation would be interpreted differently:
In[3]:=
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Out[3]=
 
A GridBox is normally interpreted as a matrix:
In[1]:=
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Out[1]=
Use a predefined TagBox interpretation to get a different result:
In[2]:=
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Out[2]//InputForm=
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