Takeaway
In short, this case is an early and influential assertion that Congress cannot assign nonjudicial duties to Article III courts or make their judgments reviewable by the political branches, even though the Supreme Court itself never reached a final merits decision.
Congress's 1792 invalid-pension statute directed federal circuit courts to receive veterans' pension claims, examine the evidence, and report their opinions to the Secretary of War. The Secretary could withhold a recommended pension if he suspected fraud or mistake, and Congress retained authority to revise the results.
The circuit courts in New York, Pennsylvania, and North Carolina concluded that they could not perform these duties as courts. They reasoned that the assigned work was not judicial and that executive or legislative revision of a court's decision was incompatible with judicial independence. The New York judges stated that they would perform the work personally as commissioners, while the other circuits expressed substantial doubts about even that alternative.
The Attorney General sought a Supreme Court order requiring the circuit court to act. When he initially moved ex officio, the Court divided over whether the motion could be made in that capacity and refused it. He then renewed the request on Hayburn's behalf, as an interested claimant. The Court took that motion under advisement, but Congress replaced the statutory scheme before the next Term, so the Court never rendered a final decision.