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C978 — Rounding the cap counts

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Study sequence: SP Flood capacities, lifespan caps and cumulative response (C953–C983) · Regular & Cumulative

C978 — Rounding the cap counts

Question

Does nearest-five rounding commute with the source minimum?

Inputs

{}

Sources

[
  "C953",
  "C955",
  "C956",
  "File51a nearest-five policy"
]

Opened utc

2026-09-28T03:50:40.100297+00:00

Results

{
  "field": {
    "path": "model/sp_cap_rounded_counts.json",
    "sha256": "ec28f7907b254a793adc02ef6124384b9be3e2f6bf7b3ce347bd2708b35ae779",
    "bytes": 332
  },
  "rounded_lives": [
    930,
    910,
    905,
    910,
    895,
    845,
    365,
    720,
    655
  ],
  "proof": "A monotone map on a total order preserves binary minima."
}

Finding

Count rounding commutes with the cap across all nine rows because the rounding map is monotone. This does not yet define Rounded date labels.

Reassessment

Check whether this source field keeps the same strict active support.

Checks

{
  "commutes_all_rows": true,
  "expected_counts": true
}

Closed utc

2026-09-28T03:50:40.100762+00:00

Record provenance

Exact record hash: fc8fb73429f76d6d11bad550902e0a5f1f589f89f4f4e0e7a1fabc19ea6591ff

Source journal: Research_Cycles/C0932_C1131/journal.json

Linked sources and evidence

Edition and provenance

C978.md

SHA-256 f5cc9b4df554045b85c96bec4024a34087f974d49f13c2d2114df85694719302

C480–C1634/Research_Cycles/C0932_C1131/journal.json#C978