| Label | Element | Value |
|---|---|---|
| LifeX 2065 Inflation-Protected Longevity Income ETF | U.S. Treasury Securities [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 77.50% |
| LifeX 2065 Inflation-Protected Longevity Income ETF | U.S. Treasury Bills [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 19.70% |
| LifeX 2065 Inflation-Protected Longevity Income ETF | Money Market Funds [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 2.10% |
| LifeX 2065 Inflation-Protected Longevity Income ETF | Cash & Other [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 0.70% |