diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index f12f380e..5a854b6f 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -289,3 +289,33 @@ jobs:
     - name: Run tests
       run: make pytest -j 2
       working-directory: /build-tests
+
+
+  doxygen:
+    name: Docs test
+    runs-on: ubuntu-latest
+    container: alpine:3.12
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - name: Install requirements
+      run: apk add doxygen python3-dev
+
+    - name: Ensure pip
+      run: python3 -m ensurepip
+
+    - name: Install python docs requirements
+      run: python3 -m pip install "sphinx<3" sphinx_rtd_theme breathe==4.13.1 pytest setuptools
+
+    - name: Build docs
+      run: python3 -m sphinx -W -b html docs docs/.build
+
+    - name: Make SDist
+      run: python3 setup.py sdist
+
+    - name: Compare Dists (headers only)
+      run: |
+        python3 -m pip install --user -U ./dist/*
+        installed=$(python3 -c "import pybind11; print(pybind11.get_include(True) + '/pybind11')")
+        diff -rq $installed ./include/pybind11
diff --git a/.travis.yml b/.travis.yml
deleted file mode 100644
index f23c29ab..00000000
--- a/.travis.yml
+++ /dev/null
@@ -1,94 +0,0 @@
-language: cpp
-
-branches:
-  only:
-  - master
-  - stable
-  - /^v\d/
-
-matrix:
-  include:
-  # This config does a few things:
-  # - Checks C++ and Python code styles (check-style.sh and flake8).
-  # - Makes sure sphinx can build the docs without any errors or warnings.
-  # - Tests setup.py sdist and install (all header files should be present).
-  # - Makes sure that everything still works without optional deps (numpy/scipy/eigen) and
-  #   also tests the automatic discovery functions in CMake (Python version, C++ standard).
-  - os: linux
-    dist: xenial # Necessary to run doxygen 1.8.15
-    name: Docs and pip
-    cache: false
-    before_install:
-    - pyenv global $(pyenv whence 2to3)  # activate all python versions
-    - PY_CMD=python3
-    - $PY_CMD -m pip install --user --upgrade pip wheel setuptools
-    install:
-    # breathe 4.14 doesn't work with bit fields. See https://github.com/michaeljones/breathe/issues/462
-    # Latest breathe + Sphinx causes warnings and errors out
-    - $PY_CMD -m pip install --user --upgrade "sphinx<3" sphinx_rtd_theme breathe==4.13.1 pytest
-    - curl -fsSL https://sourceforge.net/projects/doxygen/files/rel-1.8.15/doxygen-1.8.15.linux.bin.tar.gz/download | tar xz
-    - export PATH="$PWD/doxygen-1.8.15/bin:$PATH"
-    script:
-    - $PY_CMD -m sphinx -W -b html docs docs/.build
-    - |
-      # Make sure setup.py distributes and installs all the headers
-      $PY_CMD setup.py sdist
-      $PY_CMD -m pip install --user -U ./dist/*
-      installed=$($PY_CMD -c "import pybind11; print(pybind11.get_include(True) + '/pybind11')")
-      diff -rq $installed ./include/pybind11
-    - |
-      # Barebones build
-      cmake -DCMAKE_BUILD_TYPE=Debug -DPYBIND11_WERROR=ON -DDOWNLOAD_CATCH=ON -DPYTHON_EXECUTABLE=$(which $PY_CMD) .
-      make pytest -j 2 && make cpptest -j 2
-cache:
-  directories:
-  - $HOME/.local/bin
-  - $HOME/.local/lib
-  - $HOME/.local/include
-before_install:
-- |
-  # Configure build variables
-  set -ex
-  if [ -z "$GCC" ]; then GCC=4.8
-  else EXTRA_PACKAGES+=" g++-$GCC"
-  fi
-  export CXX=g++-$GCC CC=gcc-$GCC
-  if [ -n "$CPP" ]; then CPP=-std=c++$CPP; fi
-  if [ "${PYTHON:0:1}" = "3" ]; then PY=3; fi
-  if [ -n "$DEBUG" ]; then CMAKE_EXTRA_ARGS+=" -DCMAKE_BUILD_TYPE=Debug"; fi
-  set +ex
-- |
-  # Initialize environment
-  set -ex
-  PY_CMD=python$PYTHON
-  if [ "$TRAVIS_OS_NAME" = "osx" ]; then
-    if [ "$PY" = "3" ]; then
-      brew update && brew unlink python@2 && (brew upgrade python || brew install python)
-    else
-      curl -fsSL https://bootstrap.pypa.io/get-pip.py | $PY_CMD - --user
-    fi
-  fi
-  if [ "$PY" = 3 ] || [ -n "$PYPY" ]; then
-    $PY_CMD -m ensurepip --user
-  fi
-  $PY_CMD --version
-  $PY_CMD -m pip install --user --upgrade pip wheel
-  set +ex
-install:
-- |
-  # Install dependencies
-  set -ex
-  cmake --version
-
-  export NPY_NUM_BUILD_JOBS=2
-  local PIP_CMD=""
-  echo "Installing pytest, numpy, scipy..."
-  $PY_CMD -m pip install --user --upgrade pytest numpy scipy
-  echo "done."
-
-  mkdir eigen
-  curl -fsSL https://bitbucket.org/eigen/eigen/get/3.3.4.tar.bz2 | \
-      tar --extract -j --directory=eigen --strip-components=1
-  export CMAKE_INCLUDE_PATH="${CMAKE_INCLUDE_PATH:+$CMAKE_INCLUDE_PATH:}$PWD/eigen"
-  set +ex
-after_failure: cat tests/test_cmake_build/*.log*
diff --git a/README.md b/README.md
index ae7b01bb..5eee2dc9 100644
--- a/README.md
+++ b/README.md
@@ -6,7 +6,6 @@
 [![Documentation Status](https://readthedocs.org/projects/pybind11/badge/?version=stable)](http://pybind11.readthedocs.org/en/stable/?badge=stable)
 [![Gitter chat](https://img.shields.io/gitter/room/gitterHQ/gitter.svg)](https://gitter.im/pybind/Lobby)
 [![CI](https://github.com/pybind/pybind11/workflows/CI/badge.svg)](https://github.com/pybind/pybind11/actions)
-[![Build Status](https://travis-ci.org/pybind/pybind11.svg?branch=master)](https://travis-ci.org/pybind/pybind11)
 [![Build status](https://ci.appveyor.com/api/projects/status/riaj54pn4h08xy40?svg=true)](https://ci.appveyor.com/project/wjakob/pybind11)
 
 **pybind11** is a lightweight header-only library that exposes C++ types in Python