  In this paper, we derive the general leading-order classical Lagrangian
covering all fermion operators of the nonminimal Standard-Model Extension
(SME). Such a Lagrangian is considered to be the point-particle analog of the
effective field theory description of Lorentz violation that is provided by the
SME. First of all, a suitable Ansatz is made for the Lagrangian of the
spin-degenerate operators $\hat{a}$, $\hat{c}$, $\hat{e}$, and $\hat{f}$ at
leading order in Lorentz violation. The latter is shown to satisfy the set of
five nonlinear equations that govern the map from the field theory to the
classical description. After doing so, the second step is to propose results
for the spin-nondegenerate operators $\hat{b}$, $\hat{d}$, $\hat{H}$, and
$\hat{g}$. Although these are more involved than the Lagrangians for the
spin-degenerate ones, an analytical proof of their validity is viable,
nevertheless. The final step is to combine both findings to produce a generic
Lagrangian for the complete set of Lorentz-violating operators that is
consistent with the known minimal and nonminimal Lagrangians found in the
literature so far. The outcome reveals the leading-order structure of the
classical SME analog. It can be of use for both phenomenological studies of
classical bodies in gravitational fields and conceptual work on explicit
Lorentz violation in gravity. Furthermore, there may be a possible connection
to Finsler geometry.
