| Label | Element | Value |
|---|---|---|
| LifeX 2035 Income Bucket ETF | U.S. Treasury Securities [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 97.10% |
| LifeX 2035 Income Bucket ETF | Money Market Funds [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 1.90% |
| LifeX 2035 Income Bucket ETF | Cash & Other [Member] | ||
| Holdings [Line Items] | oef_HoldingsLineItems | |
| Percent of Net Asset Value | oef_PctOfNav | 1.00% |