# C963 — Aggregate cap identification

## Question

Can the complete lifespan sum identify k after support is fixed?

## Inputs

```json
{
  "source_total": 7137,
  "active": [
    5,
    7,
    8
  ]
}
```

## Sources

```json
[
  "C953",
  "C954",
  "C962"
]
```

## Opened utc

2026-09-28T03:47:49.292737+00:00

## Results

```json
{
  "sum_equation": "total = 5334 + 3k",
  "intercept": 5334,
  "recovered_k": 601
}
```

## Finding

Within the fixed support region, the sum7137 identifies601. It is an alternative coordinate for the same data, retaining support and order assumptions.

## Reassessment

Recover the changed begetting inputs from the individual cap equations.

## Checks

```json
{
  "intercept": true,
  "k": true,
  "support_valid": true
}
```

## Closed utc

2026-09-28T03:47:49.293122+00:00

## Record provenance

Exact record hash: `edc906fe880f6d55bfe19b73556dbd967e635409f1c642e40e45512690f8acfc`

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