Reproducibility would become a much higher priority if electronic versions of papers are required (by their distributors, archives, institutions, ...) to have reproduction sections, which the authors are encouraged to update over time.

UPDATABLE COVER PAGE:

Title Authors

Abstract

   Blah, blah, ...

State of reproduction:

    Not reproduced.
    Successful reproductions: ...citations...
    Reproduction attempts: ...citations...
    Countering reproductions: ...citations...

UPDATABLE REPRODUCTION SECTION ATTACHED AT END

Reproduction resources:

   Data, algorithms, processes, materials, ...

Reproduction challenges:

   Cost, time, one-off events, ...

Making this stuff more visible would help reproducers validated the value of reproduction to their home and funding institutions.

Having a standard section for this, with an initial state of "Not reproduced" provides more incentive for original workers to provide better reproduction info.

For algorithm and math work the reproduction could be served best with downloadable executable bundle.