# C834 — Reconstruct a complete Sukkot species-by-day matrix

## Question

Can the seven day totals be generated by one declining component and three constant components?

## Inputs

```json
{
  "uniform_daily_rams_lambs_goats": [
    2,
    14,
    1
  ],
  "status": "declared allocation reconstruction; marginal totals alone do not imply uniformity"
}
```

## Sources

```json
[
  "File58 §§3.1–3.2,7.1"
]
```

## Opened utc

2026-09-28T02:30:03.837085+00:00

## Results

```json
{
  "matrix": {
    "path": "model/Sukkot_matrix.json",
    "sha256": "2dd0f49ee2c98a58d388b4eb25ad26956588342e8058e1f8517abb1f9e4204a4",
    "bytes": 642
  },
  "species": [
    "bulls",
    "rams",
    "lambs",
    "goats"
  ],
  "day_rows": [
    [
      13,
      2,
      14,
      1
    ],
    [
      12,
      2,
      14,
      1
    ],
    [
      11,
      2,
      14,
      1
    ],
    [
      10,
      2,
      14,
      1
    ],
    [
      9,
      2,
      14,
      1
    ],
    [
      8,
      2,
      14,
      1
    ],
    [
      7,
      2,
      14,
      1
    ]
  ],
  "day_totals": [
    30,
    29,
    28,
    27,
    26,
    25,
    24
  ],
  "column_totals": [
    70,
    14,
    98,
    7
  ],
  "rank": 2,
  "generator": "row_d=(14−d,2,14,1), d=1…7"
}
```

## Finding

The declared daily allocation has a rank-two generator: only the bull component changes. It recovers all seven totals and the complete189 species ledger. The uniform component allocation remains an input, not a deduction from margins alone.

## Reassessment

Recover the whole Tishri category/species table as a linear measurement object.

## Checks

```json
{
  "cols": true,
  "row_totals": true,
  "rank2": true
}
```

## Closed utc

2026-09-28T02:30:21.953840+00:00

## Record provenance

Exact record hash: `8d2a929e87d6dc48fb25a9f69da256147810ea4fb53885ae06a57190eff68ccd`

Source journal: `Research_Cycles/C0832_C0931/journal.json`