# C1193 — Measure the gain from the second rounded component

## Question

How does a singleton arise from combining two individually ambiguous observations?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1192"
]
```

## Opened utc

2026-09-28T05:23:40.362205+00:00

## Results

```json
{
  "intersections": {
    "path": "model/joint_rounding_singleton_intersections.json",
    "sha256": "64be39ff48facb6d403eb3b77ed1258eb586e644ea46e6f4acc71aa1d8ad18ce",
    "bytes": 1372
  },
  "rows": 5
}
```

## Finding

Each singleton combines two five-choice observations whose candidate sets touch at one endpoint. The gain is genuine conditional information, although these current observations share the same source derivation.

## Reassessment

Use LXX Lamech to show a nearby non-singleton and preserve the main753 state.

## Checks

```json
{
  "five_each": true,
  "one_joint": true
}
```

## Closed utc

2026-09-28T05:23:40.365407+00:00

## Record provenance

Exact record hash: `b6a4ef059df0fc388dc265a913a2d54c0b63327031aa6e88fb128237c9977802`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`