# C590 — Prove the ordinary Enoch center condition

## Question

When is Matthew birth the center of Luke birth and Enochic ascension?

## Inputs

```json
{
  "birth_counts": [
    70,
    56,
    43
  ],
  "local_gap": "g"
}
```

## Sources

```json
[
  "File69 §§2.12–2.13,3.4–3.5"
]
```

## Opened utc

2026-09-28T00:21:49.515057+00:00

## Results

```json
{
  "triples_and_arms": [
    [
      4836,
      3856,
      2876,
      980,
      980
    ],
    [
      4976,
      3968,
      2960,
      1008,
      1008
    ]
  ],
  "symbolic_residual": "(u−g)/2",
  "condition": "u=g"
}
```

## Finding

The ordinary center follows from the count relation70+43−2×56=1 and the local ascension subtraction g. Equal arms are980 or1008. It is a derived center, not an independently fitted midpoint.

## Reassessment

Determine which endpoint roles preserve a center at generation resolution.

## Checks

```json
{
  "count_identity": true,
  "centers": true
}
```

## Closed utc

2026-09-28T00:21:49.515309+00:00

## Record provenance

Exact record hash: `7a2ee05bc97091fedd441a62337d88fa397091286131ca3f20367bc2d732b1dd`

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