# C1305 — Register the cap-round compatibility square

## Question

Which agreementofroutes isvalid for allresolvedcounts?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1304",
  "C1209–C1212"
]
```

## Opened utc

2026-09-28T06:10:23.115936+00:00

## Results

```json
{
  "cap_round_relation": {
    "path": "model/relation_cap_round.json",
    "sha256": "8e7c569b7af4de1b2ac28931c7641db8baba7a4527764440c0a36f6023265651",
    "bytes": 789
  }
}
```

## Finding

Thecap-round square is atrueoperationidentity withconsistentcount inputs. Itsagreementexplainsforwardcompatibility while thelostinformationandcountdomainremain explicit.

## Reassessment

Registertheresidualtranslationcomposition anditsaggregatepathversion.

## Checks

```json
{
  "three_limits": true,
  "identity_class": true
}
```

## Closed utc

2026-09-28T06:10:23.117349+00:00

## Record provenance

Exact record hash: `f206b08d9279c59211b76036323a30206fe064c71281fbee3d775e960efe5d35`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`