| Label | Element | Value |
|---|---|---|
| LifeX 2050 Longevity Income ETF | U.S. Treasury Securities [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 96.90% |
| LifeX 2050 Longevity Income ETF | Money Market Funds [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 1.80% |
| LifeX 2050 Longevity Income ETF | Cash & Other [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 1.30% |