On this page
Chromatic splitting regime audit
Family 318: Chromatic splitting: filtrations and counterexamples. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Separate failed height-three and higher splitting claims from the surviving staged filtration under a different prime condition.
Applicability and commercial boundary
Prime, height, weak versus strong splitting and filtration are distinct; a blanket failure label loses valid companion conclusions.
Initial business decision
Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.
Next verification action
Map every regime and extract finite low-height witnesses.
Evidence scope
The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.