# C701 — Recover the hinge’s two coefficient arms

## Question

How do the admitted cumulative and projective arms fit around4346?

## Inputs

```json
{
  "upper_BC": 14006,
  "hinge_BC": 4346,
  "projective_AD": 29465,
  "projective_status": "inherited comparison boundary"
}
```

## Sources

```json
[
  "Supplement A §§10.1–10.5"
]
```

## Opened utc

2026-09-28T01:17:25.679962+00:00

## Results

```json
{
  "arms": [
    9660,
    33810
  ],
  "69_units": [
    140,
    490
  ],
  "partition_4830_units": [
    2,
    7
  ],
  "fixed_projective_generated_heads": [
    4836,
    7286
  ],
  "whole": 43470
}
```

## Finding

The admitted4346 hinge divides the whole43470 civil span as9660|33810=69×(140|490), or2|7 in4830 units. With the supplied projective endpoint held, P/E generate4836/7286; those retain co-registration/generated roles and are not new primary anchors.

## Reassessment

Test the supplied cumulative Cainan pair within the same anchoredE family.

## Checks

```json
{
  "arms": true,
  "partition": true,
  "heads": true,
  "whole": true
}
```

## Closed utc

2026-09-28T01:17:25.680285+00:00

## Record provenance

Exact record hash: `64287a67d336772e40a02a1425dde203b926b49ae1390590e6626781c6839120`

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