# C882 — Isolate the partial-action order asymmetry

## Question

Can equal scalar endpoints conceal different intermediate grids?

## Inputs

```json
{
  "forced_input": 6877
}
```

## Sources

```json
[
  "C881 P/J domains"
]
```

## Opened utc

2026-09-28T02:48:45.917780+00:00

## Results

```json
{
  "J_then_P": [
    6877,
    6900,
    7000
  ],
  "P_then_J": [
    6877,
    "20930/3",
    7000
  ],
  "artifact": {
    "path": "model/PJ_order_witness.json",
    "sha256": "f1644a7da917c0ef52021aa12b1875a3ef07a331da682dbed989250b1edf6a0e",
    "bytes": 170
  }
}
```

## Finding

6877→6900→7000 stays integral under J→P;6877→20930/3→7000 under P→J has a fractional intermediate. The same final number therefore does not identify the same staged integer-grid route.

## Reassessment

Check source-authorized File51a chains against the new theorem.

## Checks

```json
{
  "same_final": true,
  "distinct_intermediate": true,
  "minimal_domain": true
}
```

## Closed utc

2026-09-28T02:48:45.918282+00:00

## Record provenance

Exact record hash: `d1e09b98171dce299745d28097034673f20c1ffb2ce73ef273e5053220fdd28b`

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