Base distribution and serialization #568

Job	Run time
test (ubuntu-latest, 3.10, jax)	1m 32s
test (ubuntu-latest, 3.10, numpy)	1m 30s
test (ubuntu-latest, 3.10, tensorflow)	1m 42s
test (ubuntu-latest, 3.10, torch)	1m 42s
test (ubuntu-latest, 3.11, jax)	1m 35s
test (ubuntu-latest, 3.11, numpy)	1m 24s
test (ubuntu-latest, 3.11, tensorflow)	1m 42s
test (ubuntu-latest, 3.11, torch)	1m 40s
test (windows-latest, 3.10, jax)	1m 26s
test (windows-latest, 3.10, numpy)	1m 28s
test (windows-latest, 3.10, tensorflow)	1m 28s
test (windows-latest, 3.10, torch)	1m 29s
test (windows-latest, 3.11, jax)	1m 28s
test (windows-latest, 3.11, numpy)	1m 25s
test (windows-latest, 3.11, tensorflow)	1m 24s
test (windows-latest, 3.11, torch)	1m 26s
	24m 21s

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