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C1308 — Register anchored composition with its integer-stage restriction

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Study sequence: Four-part grammar and complete-family registers (C1282–C1331) · Family grammar & reading guides

C1308 — Register anchored composition with its integer-stage restriction

Question

Why can exactaffineformulas compose whileanintegervaluedchronologyroutefails?

Inputs

{}

Sources

[
  "C1307",
  "inherited/model/fixed_pivot_key_domains.json",
  "inherited/model/key_constraint_inputs.json"
]

Opened utc

2026-09-28T06:12:23.521374+00:00

Results

{
  "affine_grid_relation": {
    "path": "model/relation_affine_grid_domains.json",
    "sha256": "99bb3e4f0350677d6ba82dc8f15f381d7c78ebc4822e14412e2ce912230bde8b",
    "bytes": 756
  }
}

Finding

Theanchoredmaps composeexactly over rationalcoordinates, butthefixed14006→4836 J-to-P routehas nointegerstage-domain: itssecondspan remains2mod3. Thisexplains whygriddomain belongsin theoperationrecord.

Reassessment

Register thecriterion forreflectionto pass througha sourcegrouping.

Checks

{
  "gap9170": true,
  "mod3": true,
  "inherited_agrees": true
}

Closed utc

2026-09-28T06:12:23.521844+00:00

Record provenance

Exact record hash: ba586c3e3b2e32568220f33d02cf17816e5c5b3659be20eb4d64229a8c63874b

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json

Linked sources and evidence

Edition and provenance

C1308.md

SHA-256 0647a658bc2b01e7f8321197d8c74f8586634e1039bde7dc93807022afe75b2d

C480–C1634/Research_Cycles/C1132_C1431_Recovered/journal.json#C1308