# C1060 — Integral numerical coarsening of the four paths

## Question

Which existing cuts survive if every converted block must be integral?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1059",
  "C993"
]
```

## Opened utc

2026-09-28T04:09:19.266758+00:00

## Results

```json
{
  "admissible_prefix_cuts": {
    "regular_Flood": [
      3
    ],
    "regular_Noah": [
      3
    ],
    "regular_Flood_Noah": [
      4
    ],
    "cumulative_primary": [
      3
    ]
  },
  "criterion": "With an integral held anchor, all cuts must have prefix sum divisible by23.",
  "qualification": "Numerical coarsening only; source event boundaries remain in the retained record."
}
```

## Finding

Only the final cut qualifies in every path. Uniform E still commutes with summation over rational values; the added integer-grid demand is what removes internal numerical cuts.

## Reassessment

Compare the two cumulative inverse branches under the same completed-path condition.

## Checks

```json
{
  "whole_path_only": true,
  "rational_additivity": true
}
```

## Closed utc

2026-09-28T04:09:19.267192+00:00

## Record provenance

Exact record hash: `3fc6349f5fbd3e702351feaf4846df66b5daab80153f4314d5d690d5851f2a45`

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