# C815 — Integrate the calendar and shape families by their invariants

## Question

Which shared quantities distinguish the existing wider-family connections?

## Inputs

```json
{}
```

## Sources

```json
[
  "Strategy; C731 calibration, File70 shape fields"
]
```

## Opened utc

2026-09-28T02:11:07.473599+00:00

## Results

```json
{
  "invariants": {
    "path": "model/integration_invariants.json",
    "sha256": "1069cd8f73a680378b411bfdec42a05e251d3eb30a6a794d0a01fb08e0ef40a5",
    "bytes": 354
  },
  "calendar_day_volume": [
    "8400/23",
    "8400/23",
    "8400/23"
  ],
  "ordered_shape": [
    [
      6,
      1,
      6,
      1
    ],
    [
      60,
      10,
      60,
      10
    ]
  ],
  "weighted_creation_invariant": [
    12026,
    12026
  ],
  "role_rule": "equal measures/shapes do not alone identify anchors, phases, or events"
}
```

## Finding

The larger families join through different invariants: calendar day-volume, ordered shape, and a weighted Creation value. Keeping each invariant named prevents endpoint agreement from being mistaken for one global chronology map.

## Reassessment

Build the family reconstruction-and-limits table for readers.

## Checks

```json
{
  "calendar_equal": true,
  "shape_scale": true,
  "weighted": true
}
```

## Closed utc

2026-09-28T02:11:07.474015+00:00

## Record provenance

Exact record hash: `34cc02fd93becb294685368ec3a8f38da3e164297b00b329bda200c70e582374`

Source journal: `Research_Cycles/C0732_C0831/journal.json`