Allonic acid oxidation

In the oxidation of o-allose to o-allonic acid, a lactone having the general structure A is isolated. Draw a stepwise mechanism to account for the formation of A. Use wedges and dashes to indicate the stereochemistry of all stereogenic centers in A. 

Digitoxose, therefore, represents a case wherein the Hudson lactone rule fails insofar as the lactones of digitoxonic and digitoxosecarboxylic acids are concerned, a behavior paralleled by D-allonic acid lactone of which digitoxose is a derivative. At the same time, the diamide of the glutaric acid obtained on oxidation of digitoxose now obeys Hudson s amide rule in the light of the above observations and also the lactone of this acid obeys the lactone rule. 

L-Ribose is quite rare and the only practical method for its preparation is the transformation of L-arabinose by the method of Austin and HumoUer (4 steps, 9.5 % overall yield). L-Ribose has also been derived from, 2,3-<9-isopropylidene-L-glyceraldehyde, (5 steps, 12 %) after separation from a mixture containing L-arabinose. In Scheme 7 we summarize our total syntheses of D- and L-ribose derivatives using the " naked sugars" 32 and 38, respectively." Ketone 138 (Scheme 4) was oxidized into the corresponding lactone (-)-158 with MCPBA in 98 % yield. Treatment with anhydrous methanol, 2,2-dimethoxypropane and a small amount of methanesulfonic acid afforded the methyl 5-deoxy-D-allonate (-)-I59... 

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