# C1277 — Compare row-rounded blocks with once-rounded block totals

## Question

Can theMosesblockdiagram preserve thesourceRoundedpath withoutlosingresidualinformation?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1234",
  "C1236",
  "C1218",
  "prep/common_representation_architecture.md"
]
```

## Opened utc

2026-09-28T05:58:57.259004+00:00

## Results

```json
{
  "block_rounding_order": {
    "path": "model/Moses_block_rounding_order.json",
    "sha256": "819d2815e50c8f363ccc8662e4f0285dbfce8e4c58951205349674943f80e184",
    "bytes": 1037
  },
  "block_residuals": [
    0,
    2,
    4,
    -1,
    1
  ]
}
```

## Finding

The fiveblocks retain residuals0,2,4,−1,1. Enoch-to-Arphaxad is1030 afterrowrounding but1035 iftheexactblock isroundedonce; thewholepath is2580 ratherthanQ(2586)=2585. Thediagrammustretain thedeclaredoperationorder.

## Reassessment

Verify thecomplete25-nodeexactfield isrecoveredby accumulatedrowresiduals.

## Checks

```json
{
  "exact_blocks": true,
  "residuals": true,
  "distinction": true,
  "whole": true
}
```

## Closed utc

2026-09-28T05:58:57.259698+00:00

## Record provenance

Exact record hash: `e9d141c62a82e97cb54c8c4b36d05059c97041203fbad8da3a2eebf49dbcd0e5`

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