# C696 — Reconstruct the fixed directional Key matrix

## Question

Do all four source-declared anchored rows converge as stated?

## Inputs

```json
{
  "rows": [
    [
      3626,
      2936,
      "E"
    ],
    [
      3576,
      2886,
      "P"
    ],
    [
      2216,
      2906,
      "P"
    ],
    [
      2166,
      2856,
      "E"
    ]
  ],
  "scope": "fixed admitted comparison; no new SKL state"
}
```

## Sources

```json
[
  "Supplement A §§8.1–8.6"
]
```

## Opened utc

2026-09-28T01:16:16.360246+00:00

## Results

```json
{
  "declared_outputs": [
    2876,
    2876,
    2916,
    2916
  ],
  "swapped_key_diagnostic": [
    2926,
    2826,
    2966,
    2866
  ],
  "input_magnitudes": [
    690,
    690,
    690,
    690
  ]
}
```

## Finding

All four admitted rows use magnitude690. The declared forward assignments meet at2876 and reverse assignments at2916; swapping Keys breaks each pairing. Direction and held anchor are essential parts of this bounded family, whose existing SKL comparison status is retained.

## Reassessment

Explain the50 offset algebraically instead of treating the convergences as separate matches.

## Checks

```json
{
  "magnitudes": true,
  "outputs": true,
  "swaps_fail": true
}
```

## Closed utc

2026-09-28T01:16:16.360628+00:00

## Record provenance

Exact record hash: `bd5e02dac1b62d11898bfb606e06ad49466aaee3a48f6ce6673865badf15b1e7`

Source journal: `Research_Cycles/C0632_C0731/journal.json`