# C995 — Retained-part measurement rank

## Question

How many independent totals describe a converted part and retained part?

## Inputs

```json
{}
```

## Sources

```json
[
  "SupplementA690/30 table",
  "File52c retained-lower family",
  "C993"
]
```

## Opened utc

2026-09-28T03:54:05.744623+00:00

## Results

```json
{
  "basis": {
    "path": "model/retained_part_measurement.json",
    "sha256": "4bd02f25d95fef51c02d965da796d0c3e1211b02609383f231c7fb1093e8e1d2",
    "bytes": 231
  },
  "rank": 2,
  "two_measurement_determinant": "-1/69"
}
```

## Finding

The native, P and E totals form a rank-two measurement system. Its dependent relation is5T0−6TP+TE=0.

## Reassessment

Apply that basis to the complete supplied flank and macro fields.

## Checks

```json
{
  "rank_two": true,
  "left_kernel": true,
  "invertible_pair": true
}
```

## Closed utc

2026-09-28T03:54:05.745544+00:00

## Record provenance

Exact record hash: `04bd58dba9703075d630020c71a6c1b0c2428e508ed4cf5626587d31fcaa57af`

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