# C886 — Derive the held-anchor order displacement

## Question

How does anchor choice affect composition on an entire path?

## Inputs

```json
{
  "k": "25/23",
  "l": "70/69",
  "a": 14006,
  "b": 4836
}
```

## Sources

```json
[
  "File46 named anchors",
  "formal diagnostic only"
]
```

## Opened utc

2026-09-28T02:49:44.870529+00:00

## Results

```json
{
  "constant_displacement": "18340/1587",
  "identity": {
    "path": "model/anchor_order_identity.json",
    "sha256": "35567eeb0a0f76c5555bd5cfa2aef64f2b742fde4914394a2cc772025e8c0713",
    "bytes": 349
  }
}
```

## Finding

Different held anchors produce a constant whole-path displacement even though the scalar products agree. For the source anchors14006 and4836 with E/P, the formal composition difference is18340/1587 at every point.

## Reassessment

Test that constant displacement over the complete frozen head field.

## Checks

```json
{
  "identity": true,
  "value": true,
  "same_anchor_zero": true
}
```

## Closed utc

2026-09-28T02:49:44.871073+00:00

## Record provenance

Exact record hash: `a6d4bb79ae328fefeee32640a09ca0b8ec3a21270f7a4e5f59c872d8cec2575f`

Source journal: `Research_Cycles/C0832_C0931/journal.json`