| Label | Element | Value |
|---|---|---|
| LifeX 2055 Inflation-Protected Longevity Income ETF | U.S. Treasury Securities [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 97.70% |
| LifeX 2055 Inflation-Protected Longevity Income ETF | U.S. Treasury Bills [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 0.90% |
| LifeX 2055 Inflation-Protected Longevity Income ETF | Money Market Funds [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 0.90% |
| LifeX 2055 Inflation-Protected Longevity Income ETF | Cash & Other [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Total Investments | oef_PctOfTotalInv | 0.50% |