# C570 — Derive the Jubilee allocation identity

## Question

Does J admit the same allocation explanation on the source12558 path?

## Inputs

```json
{
  "E": "25/23",
  "J": "300/299",
  "path": [
    14004,
    1929,
    1446
  ]
}
```

## Sources

```json
[
  "File63 §§7.3–7.4,9.7; algebraic generalization"
]
```

## Opened utc

2026-09-28T00:16:39.169471+00:00

## Results

```json
{
  "fraction": "1/26",
  "partition": [
    12075,
    483
  ],
  "carrier_counts": [
    25,
    1
  ],
  "partial_E": 12600,
  "whole_J": 12600
}
```

## Finding

J is the total-span effect of E allocated to one26th. The source path14004→1929→1446 already supplies25×483+483, so expanding its final carrier gives12600 without a fitted breakpoint.

## Reassessment

Check whether equal totals make these complete chronological maps identical.

## Checks

```json
{
  "fraction": true,
  "source_split": true,
  "dual": true
}
```

## Closed utc

2026-09-28T00:16:39.169722+00:00

## Record provenance

Exact record hash: `6880d94e26a5c15e308c035576eec497d0c7fc1561e9658b2652ea9cc1f9d9c2`

Source journal: `Research_Cycles/C0532_C0631/journal.json`