# Semipositive anticanonical section contract

Family 068: Anticanonical nonvanishing in every dimension. First application triage, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Record existence of a nonzero section in some positive anticanonical power under smooth semipositivity.

## Applicability and commercial boundary

The power may be nonexplicit, so existence does not provide a bounded section-search 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

Search the proof for effective powers or a constructive restricted example.

## 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](source.json).

[Anticanonical nonvanishing from smooth semipositivity](https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Anticanonical-nonvanishing-from-smooth-semipositivity-September-26-2026/main.pdf).