# C1041 — Common landing adds one cycle condition

## Question

Does the common-Key relation add information beyond the same-side Covenant rails?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1038–C1040"
]
```

## Opened utc

2026-09-28T04:04:39.604593+00:00

## Results

```json
{
  "rank_first_five": 5,
  "rank_with_Key_cycle": 6,
  "added_constraint": "13w=12u"
}
```

## Finding

The common-Key cycle adds one constraint in the declared variable source model. Introducing its landing coordinate does not create a second independent equality.

## Reassessment

Test how fixed source lifespans alter apparent independence of the radius progression.

## Checks

```json
{
  "one_extra": true,
  "ranks": true
}
```

## Closed utc

2026-09-28T04:04:39.606793+00:00

## Record provenance

Exact record hash: `3ebf97c23dbdc80a7c34d71c1dda9f948c1b6d9846f133b95c461954239e4c42`

Source journal: `Research_Cycles/C0932_C1131/journal.json`