Update description of Hatch (#1074)

* Update description of Hatch

* this too

* fix typo

* update link

* update link

Author: ofek

source/key_projects.rst

@@ -105,6 +105,20 @@ Python 2, so long as they can be imported on Python 3.
 
 .. _flit-rationale: https://flit.readthedocs.io/en/latest/rationale.html
 
+.. _hatch:
+
+hatch
+=====
+
+`GitHub and Docs <https://github.com/pypa/hatch>`__ |
+`PyPI <https://pypi.org/project/hatch>`__
+
+Hatch is a unified command-line tool meant to conveniently manage
+dependencies and environment isolation for Python developers. Python
+package developers use Hatch and its build backend Hatchling to
+configure, version, specify dependencies for, and publish packages
+to PyPI. Its plugin system allows for easily extending functionality.
+
 .. _packaging:
 
 packaging
@@ -438,21 +452,6 @@ problem of installing scientific software, and making package
 distribution stateless, cached, and branchable. It is used by some
 researchers but has been lacking in maintenance since 2016.
 
-.. _hatch:
-
-hatch
-=====
-
-`GitHub and Docs <https://github.com/ofek/hatch>`__ |
-`PyPI <https://pypi.org/project/hatch>`__
-
-Hatch is a unified command-line tool meant to conveniently manage
-dependencies and environment isolation for Python developers. Python
-package developers use Hatch to configure, version, specify
-dependencies for, and publish packages to PyPI. Under the hood, it
-uses :ref:`twine` to upload packages to PyPI, and :ref:`pip` to download and
-install packages.
-
 .. _multibuild:
 
 multibuild

source/specifications/pypirc.rst

@@ -58,8 +58,7 @@ Common configurations
 
 .. note::
 
-    These examples apply to :ref:`twine`, and projects like :ref:`hatch` that
-    use it under the hood. Other projects (e.g. :ref:`flit`) also use
+    These examples apply to :ref:`twine`. Other projects (e.g. :ref:`flit`) also use
     :file:`.pypirc`, but with different defaults. Please refer to each project's
     documentation for more details and usage instructions.
 

source/tutorials/managing-dependencies.rst

@@ -160,9 +160,9 @@ If you find this particular approach to managing application dependencies isn't
 working well for you or your use case, you may want to explore these other tools
 and techniques, listed in alphabetical order, to see if one of them is a better fit:
 
-* `hatch <https://github.com/ofek/hatch>`_ for opinionated coverage of even
-  more steps in the project management workflow, such as incrementing versions,
-  tagging releases, and creating new skeleton projects from project templates.
+* `hatch <https://github.com/pypa/hatch>`_ for opinionated coverage of even
+  more steps in the project management workflow, such as incrementing versions
+  and creating new skeleton projects from project templates.
 * `micropipenv <https://github.com/thoth-station/micropipenv>`_ for a lightweight
   wrapper around pip that supports ``requirements.txt``, Pipenv and Poetry lock files,
   or converting them to pip-tools compatible output. Designed for containerized