No papers because it's not proven for elliptic curves of rank zero or one.

The work of Kolyvagin, together with the work of Gross and Zagier almost proves that if $E_/{\mathbf{Q}}$ is an elliptic curve of *analytic* rank zero or one then the rank is also zero or one. Depending on the form of BSD you use, this may or may not prove it.

To take care of the almost, you need to keep in mind the following. Kolyvagin's work proves that if an elliptic curve over $\mathbf{Q}$ has analytic rank zero, then its rank is zero. Gross and Zagier's work proves that if an elliptic curve over an *imaginary quadratic field* has rank one, then its rank over that field is one. To bridge the gap, you need to say that if $E$ is an elliptic curve over $\mathbf{Q}$ whose analytic rank is one, then there is an imaginary quadratic field $K$ such that the twist of $E$ by $K$ has analytic rank zero, and thus the base change of $E$ to $K$ has analytic rank one.

This last bit was proven independently by either

the brothers Murty : http://www.mast.queensu.ca/~murty/murty-murty-annals.pdf

or

Bump, Friedberg, and Hoffstein: http://wintrac.sagemath.org/sage_summer/bsd_comp/Bump-Friedberg-Hoffstein-Nonvanishing_theorems_of_L-functions_of_modular_forms_and_their_derivates.pdf