The 25-year-old, who is playing his debut series as captain, has been in imperious form in the four-match rubber and has taken his overall tally to eight hundreds from 26 matches.
With his 117 on the second day of the fourth Test against India, Smith joined Bradman and Kallis as only the third batsman to achieve the rare feat.
His other centuries came in Adelaide (unbeaten 162), Brisbane (133) and Melbourne (192).
Smith has piled up 698 runs in the series so far, averaging an awe-inspiring 139.6. The sublime form has made him third -- after Bradman (715) and Ricky Ponting (706) -- in the list of batsmen with most runs in a series against India.
Should Australia bat again in the series, Smith has the chance of going past Bradman's record, which was made in a five-match series.
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