# C489 — LXX rounded path transfer

## Question

Does the admitted Noah refinement preserve the rounded reversal endpoint in native LXX?

## Inputs

```json
{
  "rounded_creation": 5486,
  "rounded_Adam_Noah": 1650,
  "Noah_Flood": 600,
  "Conquest": 1406
}
```

## Sources

```json
[
  "File51a §§2,17.3",
  "File18 §4.1"
]
```

## Opened utc

2026-09-27T22:39:48.590457+00:00

## Results

```json
{
  "derived_rounded_Noah": 3836,
  "derived_rounded_Flood": 3236,
  "paths": {
    "primary": {
      "segments": [
        2250,
        1830
      ],
      "inverse_segments": [
        5220,
        3810
      ],
      "endpoint": 10436
    },
    "Noah_refinement": {
      "segments": [
        1650,
        600,
        1830
      ],
      "inverse_segments": [
        5610,
        600,
        3810
      ],
      "endpoint": 11426
    }
  }
}
```

## Finding

LXX endpoints10436 and11426 differ990. The same path evaluator transfers, but MT’s equality under Noah refinement does not. The cumulative LXX branch remains uninstantiated, not silently approximated.

## Reassessment

Test SP through its positively supplied block relations rather than an absent rounded path.

## Checks

```json
{
  "primary": true,
  "refinement": true,
  "difference": true
}
```

## Closed utc

2026-09-27T22:39:48.590669+00:00

## Record provenance

Exact record hash: `9fecbe41b9475fec06582eae9bd92e70ed09f6cd679dd7350c149cd24898f1b5`

Source journal: `Research_Cycles/C0482_C0531/journal.json`