| Label | Element | Value |
|---|---|---|
| LifeX 2056 Inflation-Protected Longevity Income ETF | U.S. Treasury Securities [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 87.80% |
| LifeX 2056 Inflation-Protected Longevity Income ETF | U.S. Treasury Bills [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 10.30% |
| LifeX 2056 Inflation-Protected Longevity Income ETF | Money Market Funds [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 1.30% |
| LifeX 2056 Inflation-Protected Longevity Income ETF | Cash & Other [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 0.60% |