Step 1: The phrase Krebs bi-cycle describes how the urea cycle and the tricarboxylic acid cycle share a metabolite. To find it, follow the carbon released when arginine is generated.
Step 2: When argininosuccinate is cleaved, two products appear: arginine, which continues in the urea cycle, and fumarate, which leaves it. That fumarate is the export point.
Step 3: Fumarate slots straight into the citric acid cycle, where fumarase converts it to malate and malate dehydrogenase makes oxaloacetate. So the molecule shuttling between the two cycles is fumarate.
Step 4: Ornithine and arginine never leave the urea cycle, and oxaloacetate is downstream within the TCA cycle rather than the shared hand-off point, so they are not the linking intermediate.
\[\boxed{\text{Fumarate}}\]