# C1225 — Derive the Cumulative rectangle radius from the cap

## Question

Can the new cap mechanism explain the Cumulative11960 input?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1223",
  "C1143",
  "C1157",
  "File22 Actual14004"
]
```

## Opened utc

2026-09-28T05:33:44.607605+00:00

## Results

```json
{
  "cumulative_provenance": {
    "path": "model/SP_rectangle_cumulative_provenance.json",
    "sha256": "b4e710d1dcc79ad4e3027ef0ccb10ff8072422c99e855b58b9a6643bcd2ee467",
    "bytes": 361
  },
  "radius": 11960
}
```

## Finding

The Cumulative input11960 is now traced through the cap-generated488 and the separate Eber/Terah120 reduction, followed by its supplied decade opening. This explains the source mechanism behind the existing endpoint.

## Reassessment

Apply the established Keys to the two fully sourced radii and classify what is new.

## Checks

```json
{
  "loss608": true,
  "completion13396": true,
  "opening13406": true,
  "radius11960": true
}
```

## Closed utc

2026-09-28T05:33:44.607968+00:00

## Record provenance

Exact record hash: `86a251d0431823777a829fa6e51dd259b35589a20e2d3e88baf66c315d538dab`

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