# C1450 — Retain the complete named-node comparison

## Question

What do the eighteen paths do to their internal600-year edge and source head?

## Sources

```json
[
  "Six partition comparisons"
]
```

## Opened utc

2026-09-29T01:15:12.580542+00:00

## Results

```json
{
  "MT_regular": {
    "source_path": [
      1406,
      2456,
      3056,
      4106
    ],
    "inverse_path": [
      1406,
      6416,
      7016,
      12026
    ],
    "node_displacements": [
      0,
      3960,
      3960,
      7920
    ],
    "retained_edge": 600
  },
  "LXX_regular": {
    "source_path": [
      1406,
      3236,
      3836,
      5486
    ],
    "inverse_path": [
      1406,
      5216,
      5816,
      11426
    ],
    "node_displacements": [
      0,
      1980,
      1980,
      5940
    ],
    "retained_edge": 600
  },
  "SP_regular": {
    "source_path": [
      1406,
      3106,
      3706,
      4406
    ],
    "inverse_path": [
      1406,
      8506,
      9106,
      9806
    ],
    "node_displacements": [
      0,
      5400,
      5400,
      5400
    ],
    "retained_edge": 600
  },
  "MT_cumulative": {
    "source_path": [
      1406,
      4836,
      5436,
      14006
    ],
    "inverse_path": [
      1406,
      4836,
      5436,
      13016
    ],
    "node_displacements": [
      0,
      0,
      0,
      -990
    ],
    "retained_edge": 600
  },
  "LXX_cumulative": {
    "source_path": [
      1406,
      5746,
      6346,
      14896
    ],
    "inverse_path": [
      1406,
      5746,
      6346,
      11926
    ],
    "node_displacements": [
      0,
      0,
      0,
      -2970
    ],
    "retained_edge": 600
  },
  "SP_cumulative": {
    "source_path": [
      1406,
      4716,
      5316,
      13396
    ],
    "inverse_path": [
      1406,
      2736,
      3336,
      11416
    ],
    "node_displacements": [
      0,
      -1980,
      -1980,
      -1980
    ],
    "retained_edge": 600
  }
}
```

## Finding

Every refined path preserves the explicit600-year edge; its placement and the final head respond differently to the surrounding source digits.

## Reassessment

Explain the whole eighteen-path table using the two local merging defects.

## Checks

```json
{
  "all_retained_edges600": true,
  "eighteen_paths": true
}
```

## Closed utc

2026-09-29T01:15:12.583635+00:00

## Record provenance

Exact record hash: `f99589541a16796719ebfeff52567e10ea67962feb14970dc04f28c3744f0e96`

Source journal: `Research_Cycles/C1433_C1482/journal.json`