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Odd-primary Kervaire witness registry
Family 309: The Kervaire invariant problem at the prime three. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Store the claimed surviving three-primary classes and exact indices, stems and orders.
Applicability and commercial boundary
A sparse existence result in stable homotopy is not a general homotopy-group computation algorithm.
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
Extract representatives and verify indexing against selected formal scope.
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.