# C702 — Recover the cumulative insertion pair-difference law

## Question

What happens to the supplied460 cumulative Cainan increment under anchoredE?

## Inputs

```json
{
  "heads": [
    14006,
    14466
  ],
  "anchor": 4346,
  "source_increment": 460
}
```

## Sources

```json
[
  "Supplement A §10; regular/cumulative role distinction"
]
```

## Opened utc

2026-09-28T01:17:36.802589+00:00

## Results

```json
{
  "input_radii": [
    9660,
    10120
  ],
  "output_radii": [
    10500,
    11000
  ],
  "generated_heads": [
    14846,
    15346
  ],
  "output_difference": 500
}
```

## Finding

The source cumulative increment460 becomes500 under E, producing the declared14846/15346 pair. This is the same affine pair-difference law operating on cumulative lifespans; it does not replace the regular Cainan130 used in the earlier calendar placement.

## Reassessment

Summarize the operator types now required before testing the fixed phase-reflection set.

## Checks

```json
{
  "inputs": true,
  "outputs": true,
  "heads": true,
  "difference": true
}
```

## Closed utc

2026-09-28T01:17:36.803204+00:00

## Record provenance

Exact record hash: `51b9dad939031da9b84f553cca5d9a0d88c262810938a74e7c12e041a61dee6f`

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