# C957 — Slack and reduction field

## Question

What distinguishes strict clipping from remaining below the capacity?

## Inputs

```json
{}
```

## Sources

```json
[
  "C953",
  "C955",
  "C956"
]
```

## Opened utc

2026-09-28T03:46:46.269766+00:00

## Results

```json
{
  "field": {
    "path": "model/sp_cap_slack.json",
    "sha256": "57876486c0201cea008f670ad72e3d50c4cd877d40ba39b1cf38188095e06bc7",
    "bytes": 183
  },
  "slack": [
    377,
    265,
    167,
    72,
    17,
    0,
    420,
    0,
    0
  ],
  "reductions": [
    0,
    0,
    0,
    0,
    0,
    115,
    0,
    249,
    124
  ],
  "total_reduction": 488
}
```

## Finding

Six lives remain below capacity, with Mahalalel the nearest unchanged row at17. Three positive reductions account for the entire488 pre-Noah difference.

## Reassessment

Establish whether the minimum rule has a precise extremal meaning.

## Checks

```json
{
  "slack": true,
  "reductions": true,
  "nonnegative": true
}
```

## Closed utc

2026-09-28T03:46:46.270270+00:00

## Record provenance

Exact record hash: `b36ddb49c58cb7c7971746db5f4ebb9f135409452f832d6c2949651463e1ad3b`

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