diff --git a/doc/api/next_api_changes/development/30143-ES.rst b/doc/api/next_api_changes/development/30143-ES.rst
new file mode 100644
index 000000000000..05ef27952b09
--- /dev/null
+++ b/doc/api/next_api_changes/development/30143-ES.rst
@@ -0,0 +1,7 @@
+Glyph indices now typed distinctly from character codes
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    
+Previously, character codes and glyph indices were both typed as `int`, which means you
+could mix and match them erroneously. While the character code can't be made a distinct
+type (because it's used for `chr`/`ord`), typing glyph indices as a distinct type means
+these can't be fully swapped.
diff --git a/lib/matplotlib/_afm.py b/lib/matplotlib/_afm.py
index 9094206c2d7c..7962b547a1a0 100644
--- a/lib/matplotlib/_afm.py
+++ b/lib/matplotlib/_afm.py
@@ -27,17 +27,19 @@
 being used.
 """
 
-from collections import namedtuple
+import inspect
 import logging
 import re
+from typing import BinaryIO, NamedTuple, TypedDict, cast
 
 from ._mathtext_data import uni2type1
+from .ft2font import CharacterCodeType, GlyphIndexType
 
 
 _log = logging.getLogger(__name__)
 
 
-def _to_int(x):
+def _to_int(x: bytes | str) -> int:
     # Some AFM files have floats where we are expecting ints -- there is
     # probably a better way to handle this (support floats, round rather than
     # truncate).  But I don't know what the best approach is now and this
@@ -46,7 +48,7 @@ def _to_int(x):
     return int(float(x))
 
 
-def _to_float(x):
+def _to_float(x: bytes | str) -> float:
     # Some AFM files use "," instead of "." as decimal separator -- this
     # shouldn't be ambiguous (unless someone is wicked enough to use "," as
     # thousands separator...).
@@ -57,27 +59,56 @@ def _to_float(x):
     return float(x.replace(',', '.'))
 
 
-def _to_str(x):
+def _to_str(x: bytes) -> str:
     return x.decode('utf8')
 
 
-def _to_list_of_ints(s):
+def _to_list_of_ints(s: bytes) -> list[int]:
     s = s.replace(b',', b' ')
     return [_to_int(val) for val in s.split()]
 
 
-def _to_list_of_floats(s):
+def _to_list_of_floats(s: bytes | str) -> list[float]:
     return [_to_float(val) for val in s.split()]
 
 
-def _to_bool(s):
+def _to_bool(s: bytes) -> bool:
     if s.lower().strip() in (b'false', b'0', b'no'):
         return False
     else:
         return True
 
 
-def _parse_header(fh):
+class FontMetricsHeader(TypedDict, total=False):
+    StartFontMetrics: float
+    FontName: str
+    FullName: str
+    FamilyName: str
+    Weight: str
+    ItalicAngle: float
+    IsFixedPitch: bool
+    FontBBox: list[int]
+    UnderlinePosition: float
+    UnderlineThickness: float
+    Version: str
+    # Some AFM files have non-ASCII characters (which are not allowed by the spec).
+    # Given that there is actually no public API to even access this field, just return
+    # it as straight bytes.
+    Notice: bytes
+    EncodingScheme: str
+    CapHeight: float  # Is the second version a mistake, or
+    Capheight: float  # do some AFM files contain 'Capheight'? -JKS
+    XHeight: float
+    Ascender: float
+    Descender: float
+    StdHW: float
+    StdVW: float
+    StartCharMetrics: int
+    CharacterSet: str
+    Characters: int
+
+
+def _parse_header(fh: BinaryIO) -> FontMetricsHeader:
     """
     Read the font metrics header (up to the char metrics).
 
@@ -98,34 +129,15 @@ def _parse_header(fh):
             * '-168 -218 1000 898' -> [-168, -218, 1000, 898]
     """
     header_converters = {
-        b'StartFontMetrics': _to_float,
-        b'FontName': _to_str,
-        b'FullName': _to_str,
-        b'FamilyName': _to_str,
-        b'Weight': _to_str,
-        b'ItalicAngle': _to_float,
-        b'IsFixedPitch': _to_bool,
-        b'FontBBox': _to_list_of_ints,
-        b'UnderlinePosition': _to_float,
-        b'UnderlineThickness': _to_float,
-        b'Version': _to_str,
-        # Some AFM files have non-ASCII characters (which are not allowed by
-        # the spec).  Given that there is actually no public API to even access
-        # this field, just return it as straight bytes.
-        b'Notice': lambda x: x,
-        b'EncodingScheme': _to_str,
-        b'CapHeight': _to_float,  # Is the second version a mistake, or
-        b'Capheight': _to_float,  # do some AFM files contain 'Capheight'? -JKS
-        b'XHeight': _to_float,
-        b'Ascender': _to_float,
-        b'Descender': _to_float,
-        b'StdHW': _to_float,
-        b'StdVW': _to_float,
-        b'StartCharMetrics': _to_int,
-        b'CharacterSet': _to_str,
-        b'Characters': _to_int,
+        bool: _to_bool,
+        bytes: lambda x: x,
+        float: _to_float,
+        int: _to_int,
+        list[int]: _to_list_of_ints,
+        str: _to_str,
     }
-    d = {}
+    header_value_types = inspect.get_annotations(FontMetricsHeader)
+    d: FontMetricsHeader = {}
     first_line = True
     for line in fh:
         line = line.rstrip()
@@ -147,14 +159,16 @@ def _parse_header(fh):
         else:
             val = b''
         try:
-            converter = header_converters[key]
-        except KeyError:
+            key_str = _to_str(key)
+            value_type = header_value_types[key_str]
+        except (KeyError, UnicodeDecodeError):
             _log.error("Found an unknown keyword in AFM header (was %r)", key)
             continue
         try:
-            d[key] = converter(val)
+            converter = header_converters[value_type]
+            d[key_str] = converter(val)  # type: ignore[literal-required]
         except ValueError:
-            _log.error('Value error parsing header in AFM: %s, %s', key, val)
+            _log.error('Value error parsing header in AFM: %r, %r', key, val)
             continue
         if key == b'StartCharMetrics':
             break
@@ -163,8 +177,8 @@ def _parse_header(fh):
     return d
 
 
-CharMetrics = namedtuple('CharMetrics', 'width, name, bbox')
-CharMetrics.__doc__ = """
+class CharMetrics(NamedTuple):
+    """
     Represents the character metrics of a single character.
 
     Notes
@@ -172,13 +186,17 @@ def _parse_header(fh):
     The fields do currently only describe a subset of character metrics
     information defined in the AFM standard.
     """
-CharMetrics.width.__doc__ = """The character width (WX)."""
-CharMetrics.name.__doc__ = """The character name (N)."""
-CharMetrics.bbox.__doc__ = """
-    The bbox of the character (B) as a tuple (*llx*, *lly*, *urx*, *ury*)."""
+
+    width: float
+    #: The character width (WX).
+    name: str
+    #: The character name (N).
+    bbox: tuple[int, int, int, int]
+    #: The bbox of the character (B) as a tuple (*llx*, *lly*, *urx*, *ury*).
 
 
-def _parse_char_metrics(fh):
+def _parse_char_metrics(fh: BinaryIO) -> tuple[dict[CharacterCodeType, CharMetrics],
+                                               dict[str, CharMetrics]]:
     """
     Parse the given filehandle for character metrics information.
 
@@ -198,12 +216,12 @@ def _parse_char_metrics(fh):
     """
     required_keys = {'C', 'WX', 'N', 'B'}
 
-    ascii_d = {}
-    name_d = {}
-    for line in fh:
+    ascii_d: dict[CharacterCodeType, CharMetrics] = {}
+    name_d: dict[str, CharMetrics] = {}
+    for bline in fh:
         # We are defensively letting values be utf8. The spec requires
         # ascii, but there are non-compliant fonts in circulation
-        line = _to_str(line.rstrip())  # Convert from byte-literal
+        line = _to_str(bline.rstrip())
         if line.startswith('EndCharMetrics'):
             return ascii_d, name_d
         # Split the metric line into a dictionary, keyed by metric identifiers
@@ -214,8 +232,9 @@ def _parse_char_metrics(fh):
         num = _to_int(vals['C'])
         wx = _to_float(vals['WX'])
         name = vals['N']
-        bbox = _to_list_of_floats(vals['B'])
-        bbox = list(map(int, bbox))
+        bbox = tuple(map(int, _to_list_of_floats(vals['B'])))
+        if len(bbox) != 4:
+            raise RuntimeError(f'Bad parse: bbox has {len(bbox)} elements, should be 4')
         metrics = CharMetrics(wx, name, bbox)
         # Workaround: If the character name is 'Euro', give it the
         # corresponding character code, according to WinAnsiEncoding (see PDF
@@ -230,7 +249,7 @@ def _parse_char_metrics(fh):
     raise RuntimeError('Bad parse')
 
 
-def _parse_kern_pairs(fh):
+def _parse_kern_pairs(fh: BinaryIO) -> dict[tuple[str, str], float]:
     """
     Return a kern pairs dictionary.
 
@@ -242,12 +261,11 @@ def _parse_kern_pairs(fh):
 
             d['A', 'y'] = -50
     """
-
     line = next(fh)
     if not line.startswith(b'StartKernPairs'):
-        raise RuntimeError('Bad start of kern pairs data: %s' % line)
+        raise RuntimeError(f'Bad start of kern pairs data: {line!r}')
 
-    d = {}
+    d: dict[tuple[str, str], float] = {}
     for line in fh:
         line = line.rstrip()
         if not line:
@@ -257,21 +275,24 @@ def _parse_kern_pairs(fh):
             return d
         vals = line.split()
         if len(vals) != 4 or vals[0] != b'KPX':
-            raise RuntimeError('Bad kern pairs line: %s' % line)
+            raise RuntimeError(f'Bad kern pairs line: {line!r}')
         c1, c2, val = _to_str(vals[1]), _to_str(vals[2]), _to_float(vals[3])
         d[(c1, c2)] = val
     raise RuntimeError('Bad kern pairs parse')
 
 
-CompositePart = namedtuple('CompositePart', 'name, dx, dy')
-CompositePart.__doc__ = """
-    Represents the information on a composite element of a composite char."""
-CompositePart.name.__doc__ = """Name of the part, e.g. 'acute'."""
-CompositePart.dx.__doc__ = """x-displacement of the part from the origin."""
-CompositePart.dy.__doc__ = """y-displacement of the part from the origin."""
+class CompositePart(NamedTuple):
+    """Represents the information on a composite element of a composite char."""
 
+    name: bytes
+    #: Name of the part, e.g. 'acute'.
+    dx: float
+    #: x-displacement of the part from the origin.
+    dy: float
+    #: y-displacement of the part from the origin.
 
-def _parse_composites(fh):
+
+def _parse_composites(fh: BinaryIO) -> dict[bytes, list[CompositePart]]:
     """
     Parse the given filehandle for composites information.
 
@@ -292,11 +313,11 @@ def _parse_composites(fh):
 
     will be represented as::
 
-      composites['Aacute'] = [CompositePart(name='A', dx=0, dy=0),
-                              CompositePart(name='acute', dx=160, dy=170)]
+      composites[b'Aacute'] = [CompositePart(name=b'A', dx=0, dy=0),
+                               CompositePart(name=b'acute', dx=160, dy=170)]
 
     """
-    composites = {}
+    composites: dict[bytes, list[CompositePart]] = {}
     for line in fh:
         line = line.rstrip()
         if not line:
@@ -306,6 +327,9 @@ def _parse_composites(fh):
         vals = line.split(b';')
         cc = vals[0].split()
         name, _num_parts = cc[1], _to_int(cc[2])
+        if len(vals) != _num_parts + 2:  # First element is 'CC', last is empty.
+            raise RuntimeError(f'Bad composites parse: expected {_num_parts} parts, '
+                               f'but got {len(vals) - 2}')
         pccParts = []
         for s in vals[1:-1]:
             pcc = s.split()
@@ -316,7 +340,8 @@ def _parse_composites(fh):
     raise RuntimeError('Bad composites parse')
 
 
-def _parse_optional(fh):
+def _parse_optional(fh: BinaryIO) -> tuple[dict[tuple[str, str], float],
+                                           dict[bytes, list[CompositePart]]]:
     """
     Parse the optional fields for kern pair data and composites.
 
@@ -329,44 +354,38 @@ def _parse_optional(fh):
         A dict containing composite information. May be empty.
         See `._parse_composites`.
     """
-    optional = {
-        b'StartKernData': _parse_kern_pairs,
-        b'StartComposites':  _parse_composites,
-        }
-
-    d = {b'StartKernData': {},
-         b'StartComposites': {}}
+    kern_data: dict[tuple[str, str], float] = {}
+    composites: dict[bytes, list[CompositePart]] = {}
     for line in fh:
         line = line.rstrip()
         if not line:
             continue
-        key = line.split()[0]
-
-        if key in optional:
-            d[key] = optional[key](fh)
+        match line.split()[0]:
+            case b'StartKernData':
+                kern_data = _parse_kern_pairs(fh)
+            case b'StartComposites':
+                composites = _parse_composites(fh)
 
-    return d[b'StartKernData'], d[b'StartComposites']
+    return kern_data, composites
 
 
 class AFM:
 
-    def __init__(self, fh):
+    def __init__(self, fh: BinaryIO):
         """Parse the AFM file in file object *fh*."""
         self._header = _parse_header(fh)
         self._metrics, self._metrics_by_name = _parse_char_metrics(fh)
         self._kern, self._composite = _parse_optional(fh)
 
-    def get_str_bbox_and_descent(self, s):
+    def get_str_bbox_and_descent(self, s: str) -> tuple[int, int, float, int, int]:
         """Return the string bounding box and the maximal descent."""
         if not len(s):
             return 0, 0, 0, 0, 0
-        total_width = 0
-        namelast = None
-        miny = 1e9
+        total_width = 0.0
+        namelast = ''
+        miny = 1_000_000_000
         maxy = 0
         left = 0
-        if not isinstance(s, str):
-            s = _to_str(s)
         for c in s:
             if c == '\n':
                 continue
@@ -376,7 +395,8 @@ def get_str_bbox_and_descent(self, s):
             except KeyError:
                 name = 'question'
                 wx, _, bbox = self._metrics_by_name[name]
-            total_width += wx + self._kern.get((namelast, name), 0)
+            total_width += wx
+            total_width += self._kern.get((namelast, name), 0)
             l, b, w, h = bbox
             left = min(left, l)
             miny = min(miny, b)
@@ -386,50 +406,52 @@ def get_str_bbox_and_descent(self, s):
 
         return left, miny, total_width, maxy - miny, -miny
 
-    def get_glyph_name(self, glyph_ind):  # For consistency with FT2Font.
+    def get_glyph_name(self,  # For consistency with FT2Font.
+                       glyph_ind: GlyphIndexType) -> str:
         """Get the name of the glyph, i.e., ord(';') is 'semicolon'."""
-        return self._metrics[glyph_ind].name
+        return self._metrics[cast(CharacterCodeType, glyph_ind)].name
 
-    def get_char_index(self, c):  # For consistency with FT2Font.
+    def get_char_index(self,  # For consistency with FT2Font.
+                       c: CharacterCodeType) -> GlyphIndexType:
         """
         Return the glyph index corresponding to a character code point.
 
         Note, for AFM fonts, we treat the glyph index the same as the codepoint.
         """
-        return c
+        return cast(GlyphIndexType, c)
 
-    def get_width_char(self, c):
+    def get_width_char(self, c: CharacterCodeType) -> float:
         """Get the width of the character code from the character metric WX field."""
         return self._metrics[c].width
 
-    def get_width_from_char_name(self, name):
+    def get_width_from_char_name(self, name: str) -> float:
         """Get the width of the character from a type1 character name."""
         return self._metrics_by_name[name].width
 
-    def get_kern_dist_from_name(self, name1, name2):
+    def get_kern_dist_from_name(self, name1: str, name2: str) -> float:
         """
         Return the kerning pair distance (possibly 0) for chars *name1* and *name2*.
         """
         return self._kern.get((name1, name2), 0)
 
-    def get_fontname(self):
+    def get_fontname(self) -> str:
         """Return the font name, e.g., 'Times-Roman'."""
-        return self._header[b'FontName']
+        return self._header['FontName']
 
     @property
-    def postscript_name(self):  # For consistency with FT2Font.
+    def postscript_name(self) -> str:  # For consistency with FT2Font.
         return self.get_fontname()
 
-    def get_fullname(self):
+    def get_fullname(self) -> str:
         """Return the font full name, e.g., 'Times-Roman'."""
-        name = self._header.get(b'FullName')
+        name = self._header.get('FullName')
         if name is None:  # use FontName as a substitute
-            name = self._header[b'FontName']
+            name = self._header['FontName']
         return name
 
-    def get_familyname(self):
+    def get_familyname(self) -> str:
         """Return the font family name, e.g., 'Times'."""
-        name = self._header.get(b'FamilyName')
+        name = self._header.get('FamilyName')
         if name is not None:
             return name
 
@@ -440,26 +462,26 @@ def get_familyname(self):
         return re.sub(extras, '', name)
 
     @property
-    def family_name(self):  # For consistency with FT2Font.
+    def family_name(self) -> str:  # For consistency with FT2Font.
         """The font family name, e.g., 'Times'."""
         return self.get_familyname()
 
-    def get_weight(self):
+    def get_weight(self) -> str:
         """Return the font weight, e.g., 'Bold' or 'Roman'."""
-        return self._header[b'Weight']
+        return self._header['Weight']
 
-    def get_angle(self):
+    def get_angle(self) -> float:
         """Return the fontangle as float."""
-        return self._header[b'ItalicAngle']
+        return self._header['ItalicAngle']
 
-    def get_capheight(self):
+    def get_capheight(self) -> float:
         """Return the cap height as float."""
-        return self._header[b'CapHeight']
+        return self._header['CapHeight']
 
-    def get_xheight(self):
+    def get_xheight(self) -> float:
         """Return the xheight as float."""
-        return self._header[b'XHeight']
+        return self._header['XHeight']
 
-    def get_underline_thickness(self):
+    def get_underline_thickness(self) -> float:
         """Return the underline thickness as float."""
-        return self._header[b'UnderlineThickness']
+        return self._header['UnderlineThickness']
diff --git a/lib/matplotlib/_mathtext.py b/lib/matplotlib/_mathtext.py
index 19ddbb6d0883..78f8913cd65a 100644
--- a/lib/matplotlib/_mathtext.py
+++ b/lib/matplotlib/_mathtext.py
@@ -37,7 +37,8 @@
 
 if T.TYPE_CHECKING:
     from collections.abc import Iterable
-    from .ft2font import Glyph
+    from .ft2font import CharacterCodeType, Glyph
+
 
 ParserElement.enable_packrat()
 _log = logging.getLogger("matplotlib.mathtext")
@@ -47,7 +48,7 @@
 # FONTS
 
 
-def get_unicode_index(symbol: str) -> int:  # Publicly exported.
+def get_unicode_index(symbol: str) -> CharacterCodeType:  # Publicly exported.
     r"""
     Return the integer index (from the Unicode table) of *symbol*.
 
@@ -85,7 +86,7 @@ class VectorParse(NamedTuple):
     width: float
     height: float
     depth: float
-    glyphs: list[tuple[FT2Font, float, int, float, float]]
+    glyphs: list[tuple[FT2Font, float, CharacterCodeType, float, float]]
     rects: list[tuple[float, float, float, float]]
 
 VectorParse.__module__ = "matplotlib.mathtext"
@@ -212,7 +213,7 @@ class FontInfo(NamedTuple):
     fontsize: float
     postscript_name: str
     metrics: FontMetrics
-    num: int
+    num: CharacterCodeType
     glyph: Glyph
     offset: float
 
@@ -365,7 +366,7 @@ def _get_offset(self, font: FT2Font, glyph: Glyph, fontsize: float,
         return 0.
 
     def _get_glyph(self, fontname: str, font_class: str,
-                   sym: str) -> tuple[FT2Font, int, bool]:
+                   sym: str) -> tuple[FT2Font, CharacterCodeType, bool]:
         raise NotImplementedError
 
     # The return value of _get_info is cached per-instance.
@@ -425,7 +426,9 @@ def get_kern(self, font1: str, fontclass1: str, sym1: str, fontsize1: float,
             info1 = self._get_info(font1, fontclass1, sym1, fontsize1, dpi)
             info2 = self._get_info(font2, fontclass2, sym2, fontsize2, dpi)
             font = info1.font
-            return font.get_kerning(info1.num, info2.num, Kerning.DEFAULT) / 64
+            return font.get_kerning(font.get_char_index(info1.num),
+                                    font.get_char_index(info2.num),
+                                    Kerning.DEFAULT) / 64
         return super().get_kern(font1, fontclass1, sym1, fontsize1,
                                 font2, fontclass2, sym2, fontsize2, dpi)
 
@@ -459,7 +462,7 @@ def __init__(self, default_font_prop: FontProperties, load_glyph_flags: LoadFlag
     _slanted_symbols = set(r"\int \oint".split())
 
     def _get_glyph(self, fontname: str, font_class: str,
-                   sym: str) -> tuple[FT2Font, int, bool]:
+                   sym: str) -> tuple[FT2Font, CharacterCodeType, bool]:
         font = None
         if fontname in self.fontmap and sym in latex_to_bakoma:
             basename, num = latex_to_bakoma[sym]
@@ -551,7 +554,7 @@ class UnicodeFonts(TruetypeFonts):
     # Some glyphs are not present in the `cmr10` font, and must be brought in
     # from `cmsy10`. Map the Unicode indices of those glyphs to the indices at
     # which they are found in `cmsy10`.
-    _cmr10_substitutions = {
+    _cmr10_substitutions: dict[CharacterCodeType, CharacterCodeType] = {
         0x00D7: 0x00A3,  # Multiplication sign.
         0x2212: 0x00A1,  # Minus sign.
     }
@@ -594,11 +597,11 @@ def __init__(self, default_font_prop: FontProperties, load_glyph_flags: LoadFlag
     _slanted_symbols = set(r"\int \oint".split())
 
     def _map_virtual_font(self, fontname: str, font_class: str,
-                          uniindex: int) -> tuple[str, int]:
+                          uniindex: CharacterCodeType) -> tuple[str, CharacterCodeType]:
         return fontname, uniindex
 
     def _get_glyph(self, fontname: str, font_class: str,
-                   sym: str) -> tuple[FT2Font, int, bool]:
+                   sym: str) -> tuple[FT2Font, CharacterCodeType, bool]:
         try:
             uniindex = get_unicode_index(sym)
             found_symbol = True
@@ -607,8 +610,7 @@ def _get_glyph(self, fontname: str, font_class: str,
             found_symbol = False
             _log.warning("No TeX to Unicode mapping for %a.", sym)
 
-        fontname, uniindex = self._map_virtual_font(
-            fontname, font_class, uniindex)
+        fontname, uniindex = self._map_virtual_font(fontname, font_class, uniindex)
 
         new_fontname = fontname
 
@@ -693,7 +695,7 @@ def __init__(self, default_font_prop: FontProperties, load_glyph_flags: LoadFlag
             self.fontmap[name] = fullpath
 
     def _get_glyph(self, fontname: str, font_class: str,
-                   sym: str) -> tuple[FT2Font, int, bool]:
+                   sym: str) -> tuple[FT2Font, CharacterCodeType, bool]:
         # Override prime symbol to use Bakoma.
         if sym == r'\prime':
             return self.bakoma._get_glyph(fontname, font_class, sym)
@@ -783,7 +785,7 @@ def __init__(self, default_font_prop: FontProperties, load_glyph_flags: LoadFlag
             self.fontmap[name] = fullpath
 
     def _map_virtual_font(self, fontname: str, font_class: str,
-                          uniindex: int) -> tuple[str, int]:
+                          uniindex: CharacterCodeType) -> tuple[str, CharacterCodeType]:
         # Handle these "fonts" that are actually embedded in
         # other fonts.
         font_mapping = stix_virtual_fonts.get(fontname)
@@ -1170,7 +1172,7 @@ def __init__(self, elements: T.Sequence[Node]):
         self.glue_sign    = 0    # 0: normal, -1: shrinking, 1: stretching
         self.glue_order   = 0    # The order of infinity (0 - 3) for the glue
 
-    def __repr__(self):
+    def __repr__(self) -> str:
         return "{}<w={:.02f} h={:.02f} d={:.02f} s={:.02f}>[{}]".format(
             super().__repr__(),
             self.width, self.height,
diff --git a/lib/matplotlib/_mathtext_data.py b/lib/matplotlib/_mathtext_data.py
index 5819ee743044..0451791e9f26 100644
--- a/lib/matplotlib/_mathtext_data.py
+++ b/lib/matplotlib/_mathtext_data.py
@@ -3,9 +3,12 @@
 """
 
 from __future__ import annotations
-from typing import overload
+from typing import TypeAlias, overload
 
-latex_to_bakoma = {
+from .ft2font import CharacterCodeType
+
+
+latex_to_bakoma: dict[str, tuple[str, CharacterCodeType]] = {
     '\\__sqrt__'                 : ('cmex10', 0x70),
     '\\bigcap'                   : ('cmex10', 0x5c),
     '\\bigcup'                   : ('cmex10', 0x5b),
@@ -241,7 +244,7 @@
 
 # Automatically generated.
 
-type12uni = {
+type12uni: dict[str, CharacterCodeType] = {
     'aring'          : 229,
     'quotedblright'  : 8221,
     'V'              : 86,
@@ -475,7 +478,7 @@
 #  for key in sd:
 #      print("{0:24} : {1: <s},".format("'" + key + "'", sd[key]))
 
-tex2uni = {
+tex2uni: dict[str, CharacterCodeType] = {
     '#'                      : 0x23,
     '$'                      : 0x24,
     '%'                      : 0x25,
@@ -1113,8 +1116,9 @@
 # Each element is a 4-tuple of the form:
 #   src_start, src_end, dst_font, dst_start
 
-_EntryTypeIn = tuple[str, str, str, str | int]
-_EntryTypeOut = tuple[int, int, str, int]
+_EntryTypeIn: TypeAlias = tuple[str, str, str, str | CharacterCodeType]
+_EntryTypeOut: TypeAlias = tuple[CharacterCodeType, CharacterCodeType, str,
+                                 CharacterCodeType]
 
 _stix_virtual_fonts: dict[str, dict[str, list[_EntryTypeIn]] | list[_EntryTypeIn]] = {
     'bb': {
@@ -1735,7 +1739,7 @@ def _normalize_stix_fontcodes(d):
 del _stix_virtual_fonts
 
 # Fix some incorrect glyphs.
-stix_glyph_fixes = {
+stix_glyph_fixes: dict[CharacterCodeType, CharacterCodeType] = {
     # Cap and Cup glyphs are swapped.
     0x22d2: 0x22d3,
     0x22d3: 0x22d2,
diff --git a/lib/matplotlib/_text_helpers.py b/lib/matplotlib/_text_helpers.py
index b9603b114bc2..1a9b4e4c989c 100644
--- a/lib/matplotlib/_text_helpers.py
+++ b/lib/matplotlib/_text_helpers.py
@@ -7,14 +7,14 @@
 import dataclasses
 
 from . import _api
-from .ft2font import FT2Font, Kerning, LoadFlags
+from .ft2font import FT2Font, GlyphIndexType, Kerning, LoadFlags
 
 
 @dataclasses.dataclass(frozen=True)
 class LayoutItem:
     ft_object: FT2Font
     char: str
-    glyph_idx: int
+    glyph_idx: GlyphIndexType
     x: float
     prev_kern: float
 
diff --git a/lib/matplotlib/backends/backend_ps.py b/lib/matplotlib/backends/backend_ps.py
index f6b8455a15a7..d95658e25563 100644
--- a/lib/matplotlib/backends/backend_ps.py
+++ b/lib/matplotlib/backends/backend_ps.py
@@ -779,7 +779,7 @@ def draw_text(self, gc, x, y, s, prop, angle, ismath=False, mtext=None):
                         .decode("ascii"))
             scale = 0.001 * prop.get_size_in_points()
             thisx = 0
-            last_name = None  # kerns returns 0 for None.
+            last_name = ''  # kerns returns 0 for ''.
             for c in s:
                 name = uni2type1.get(ord(c), f"uni{ord(c):04X}")
                 try:
diff --git a/lib/matplotlib/dviread.pyi b/lib/matplotlib/dviread.pyi
index 41799c083218..6b90d40d7db0 100644
--- a/lib/matplotlib/dviread.pyi
+++ b/lib/matplotlib/dviread.pyi
@@ -8,6 +8,9 @@ from collections.abc import Generator
 from typing import NamedTuple
 from typing_extensions import Self  # < Py 3.11
 
+from .ft2font import GlyphIndexType
+
+
 class _dvistate(Enum):
     pre = ...
     outer = ...
@@ -41,9 +44,9 @@ class Text(NamedTuple):
     @property
     def font_effects(self) -> dict[str, float]: ...
     @property
-    def index(self) -> int: ...  # type: ignore[override]
+    def index(self) -> GlyphIndexType: ...  # type: ignore[override]
     @property
-    def glyph_name_or_index(self) -> int | str: ...
+    def glyph_name_or_index(self) -> GlyphIndexType | str: ...
 
 class Dvi:
     file: io.BufferedReader
diff --git a/lib/matplotlib/ft2font.pyi b/lib/matplotlib/ft2font.pyi
index a413cd3c1a76..a21e70103d3b 100644
--- a/lib/matplotlib/ft2font.pyi
+++ b/lib/matplotlib/ft2font.pyi
@@ -1,14 +1,21 @@
 from enum import Enum, Flag
 import sys
-from typing import BinaryIO, Literal, TypedDict, final, overload, cast
+from typing import BinaryIO, Literal, NewType, TypeAlias, TypedDict, final, overload, cast
 from typing_extensions import Buffer  # < Py 3.12
 
 import numpy as np
 from numpy.typing import NDArray
 
+
 __freetype_build_type__: str
 __freetype_version__: str
 
+# We can't change the type hints for standard library chr/ord, so character codes are a
+# simple type alias.
+CharacterCodeType: TypeAlias = int
+# But glyph indices are internal, so use a distinct type hint.
+GlyphIndexType = NewType('GlyphIndexType', int)
+
 class FaceFlags(Flag):
     SCALABLE = cast(int, ...)
     FIXED_SIZES = cast(int, ...)
@@ -202,13 +209,13 @@ class FT2Font(Buffer):
     ) -> None: ...
     def draw_glyphs_to_bitmap(self, antialiased: bool = ...) -> None: ...
     def get_bitmap_offset(self) -> tuple[int, int]: ...
-    def get_char_index(self, codepoint: int) -> int: ...
-    def get_charmap(self) -> dict[int, int]: ...
+    def get_char_index(self, codepoint: CharacterCodeType) -> GlyphIndexType: ...
+    def get_charmap(self) -> dict[CharacterCodeType, GlyphIndexType]: ...
     def get_descent(self) -> int: ...
-    def get_glyph_name(self, index: int) -> str: ...
+    def get_glyph_name(self, index: GlyphIndexType) -> str: ...
     def get_image(self) -> NDArray[np.uint8]: ...
-    def get_kerning(self, left: int, right: int, mode: Kerning) -> int: ...
-    def get_name_index(self, name: str) -> int: ...
+    def get_kerning(self, left: GlyphIndexType, right: GlyphIndexType, mode: Kerning) -> int: ...
+    def get_name_index(self, name: str) -> GlyphIndexType: ...
     def get_num_glyphs(self) -> int: ...
     def get_path(self) -> tuple[NDArray[np.float64], NDArray[np.int8]]: ...
     def get_ps_font_info(
@@ -230,8 +237,8 @@ class FT2Font(Buffer):
     @overload
     def get_sfnt_table(self, name: Literal["pclt"]) -> _SfntPcltDict | None: ...
     def get_width_height(self) -> tuple[int, int]: ...
-    def load_char(self, charcode: int, flags: LoadFlags = ...) -> Glyph: ...
-    def load_glyph(self, glyphindex: int, flags: LoadFlags = ...) -> Glyph: ...
+    def load_char(self, charcode: CharacterCodeType, flags: LoadFlags = ...) -> Glyph: ...
+    def load_glyph(self, glyphindex: GlyphIndexType, flags: LoadFlags = ...) -> Glyph: ...
     def select_charmap(self, i: int) -> None: ...
     def set_charmap(self, i: int) -> None: ...
     def set_size(self, ptsize: float, dpi: float) -> None: ...
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_21.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_21.svg
index 6967f80a1186..cd1fb82317ce 100644
--- a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_21.svg
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext_cm_21.svg
@@ -1,12 +1,23 @@
 <?xml version="1.0" encoding="utf-8" standalone="no"?>
 <!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
   "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
-<!-- Created with matplotlib (http://matplotlib.org/) -->
-<svg height="54pt" version="1.1" viewBox="0 0 378 54" width="378pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
+<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="378pt" height="54pt" viewBox="0 0 378 54" xmlns="http://www.w3.org/2000/svg" version="1.1">
+ <metadata>
+  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
+   <cc:Work>
+    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
+    <dc:date>2025-06-05T23:38:03.134386</dc:date>
+    <dc:format>image/svg+xml</dc:format>
+    <dc:creator>
+     <cc:Agent>
+      <dc:title>Matplotlib v3.11.0.dev907+g64fb606e35.d20250606, https://matplotlib.org/</dc:title>
+     </cc:Agent>
+    </dc:creator>
+   </cc:Work>
+  </rdf:RDF>
+ </metadata>
  <defs>
-  <style type="text/css">
-*{stroke-linecap:butt;stroke-linejoin:round;}
-  </style>
+  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
  </defs>
  <g id="figure_1">
   <g id="patch_1">
@@ -15,721 +26,752 @@ L 378 54
 L 378 0 
 L 0 0 
 z
-" style="fill:#ffffff;"/>
+" style="fill: #ffffff"/>
   </g>
   <g id="text_1">
    <!-- Foo: $\alpha_{i+1}^j = {\rm sin}(2\pi f_j t_i) e^{-5 t_i/\tau}$ -->
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diff --git a/lib/matplotlib/tests/test_afm.py b/lib/matplotlib/tests/test_afm.py
index 80cf8ac60feb..bc1d587baf6b 100644
--- a/lib/matplotlib/tests/test_afm.py
+++ b/lib/matplotlib/tests/test_afm.py
@@ -47,20 +47,20 @@ def test_parse_header():
     fh = BytesIO(AFM_TEST_DATA)
     header = _afm._parse_header(fh)
     assert header == {
-        b'StartFontMetrics': 2.0,
-        b'FontName': 'MyFont-Bold',
-        b'EncodingScheme': 'FontSpecific',
-        b'FullName': 'My Font Bold',
-        b'FamilyName': 'Test Fonts',
-        b'Weight': 'Bold',
-        b'ItalicAngle': 0.0,
-        b'IsFixedPitch': False,
-        b'UnderlinePosition': -100,
-        b'UnderlineThickness': 56.789,
-        b'Version': '001.000',
-        b'Notice': b'Copyright \xa9 2017 No one.',
-        b'FontBBox': [0, -321, 1234, 369],
-        b'StartCharMetrics': 3,
+        'StartFontMetrics': 2.0,
+        'FontName': 'MyFont-Bold',
+        'EncodingScheme': 'FontSpecific',
+        'FullName': 'My Font Bold',
+        'FamilyName': 'Test Fonts',
+        'Weight': 'Bold',
+        'ItalicAngle': 0.0,
+        'IsFixedPitch': False,
+        'UnderlinePosition': -100,
+        'UnderlineThickness': 56.789,
+        'Version': '001.000',
+        'Notice': b'Copyright \xa9 2017 No one.',
+        'FontBBox': [0, -321, 1234, 369],
+        'StartCharMetrics': 3,
     }
 
 
@@ -69,20 +69,23 @@ def test_parse_char_metrics():
     _afm._parse_header(fh)  # position
     metrics = _afm._parse_char_metrics(fh)
     assert metrics == (
-        {0: (250.0, 'space', [0, 0, 0, 0]),
-         42: (1141.0, 'foo', [40, 60, 800, 360]),
-         99: (583.0, 'bar', [40, -10, 543, 210]),
-         },
-        {'space': (250.0, 'space', [0, 0, 0, 0]),
-         'foo': (1141.0, 'foo', [40, 60, 800, 360]),
-         'bar': (583.0, 'bar', [40, -10, 543, 210]),
-         })
+        {
+            0: _afm.CharMetrics(250.0, 'space', (0, 0, 0, 0)),
+            42: _afm.CharMetrics(1141.0, 'foo', (40, 60, 800, 360)),
+            99: _afm.CharMetrics(583.0, 'bar', (40, -10, 543, 210)),
+        },
+        {
+            'space': _afm.CharMetrics(250.0, 'space', (0, 0, 0, 0)),
+            'foo': _afm.CharMetrics(1141.0, 'foo', (40, 60, 800, 360)),
+            'bar': _afm.CharMetrics(583.0, 'bar', (40, -10, 543, 210)),
+        }
+    )
 
 
 def test_get_familyname_guessed():
     fh = BytesIO(AFM_TEST_DATA)
     font = _afm.AFM(fh)
-    del font._header[b'FamilyName']  # remove FamilyName, so we have to guess
+    del font._header['FamilyName']  # remove FamilyName, so we have to guess
     assert font.get_familyname() == 'My Font'
 
 
diff --git a/lib/matplotlib/tests/test_ft2font.py b/lib/matplotlib/tests/test_ft2font.py
index 8b448e17b7fd..7bcc15903d2d 100644
--- a/lib/matplotlib/tests/test_ft2font.py
+++ b/lib/matplotlib/tests/test_ft2font.py
@@ -1,6 +1,7 @@
 import itertools
 import io
 from pathlib import Path
+from typing import cast
 
 import numpy as np
 import pytest
@@ -235,7 +236,7 @@ def enc(name):
     assert unic == after
 
     # This is just a random sample from FontForge.
-    glyph_names = {
+    glyph_names = cast(dict[str, ft2font.GlyphIndexType], {
         'non-existent-glyph-name': 0,
         'plusminus': 115,
         'Racute': 278,
@@ -247,7 +248,7 @@ def enc(name):
         'uni2A02': 4464,
         'u1D305': 5410,
         'u1F0A1': 5784,
-    }
+    })
     for name, index in glyph_names.items():
         assert font.get_name_index(name) == index
         if name == 'non-existent-glyph-name':
diff --git a/src/ft2font_wrapper.cpp b/src/ft2font_wrapper.cpp
index ca2db6aa0e5b..92f7460caba5 100644
--- a/src/ft2font_wrapper.cpp
+++ b/src/ft2font_wrapper.cpp
@@ -1776,5 +1776,8 @@ PYBIND11_MODULE(ft2font, m, py::mod_gil_not_used())
 
     m.attr("__freetype_version__") = version_string;
     m.attr("__freetype_build_type__") = FREETYPE_BUILD_TYPE;
+    auto py_int = py::module_::import("builtins").attr("int");
+    m.attr("CharacterCodeType") = py_int;
+    m.attr("GlyphIndexType") = py_int;
     m.def("__getattr__", ft2font__getattr__);
 }