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## Context Follow-up to [#8973](https://github.com/block/buzz/pull/8973), from Codex's [review](https://github.com/block/buzz/pull/8973#discussion_r4458876285) of its final head. The push dedupe cutoff subtracts the 15 minute reorder window from the newest shown time. A signed event can carry any `created_at`. One within 900 seconds of `Int.min` made that subtraction overflow and trap, crashing the Notification Service Extension. The claim was never saved, so every later push crashed the same way while the relay kept returning that event. The relay's own drift check normally rejects such timestamps, but the extension shouldn't depend on that. ## Change The cutoff now uses saturating subtraction (`BuzzNotificationCache.presentationCutoff(after:)`), in both the claim check and retention pruning. ## Validation - New test `testExtremeTimestampsDoNotCrashTheClaim` claims messages dated `Int.min`, `Int.min + 1`, now, and `Int.max`. It checks that each behaves like any other message and nothing crashes. With the plain subtraction restored, it crashes with signal 5 (overflow trap). - Full BuzzPushKit suite: 108 XCTest and 66 Swift Testing tests passed. - Automated app test: not run. This is a two-line arithmetic change inside the extension's cache. The live APNs run on [#8973](https://github.com/block/buzz/pull/8973) covers the flow. 🤖 Generated with [Claude Code](https://claude.com/claude-code) Signed-off-by: Tom Brow <tomb@squareup.com> Co-authored-by: Tom Brow <tomb@squareup.com> Co-authored-by: studio <dc2fc481343672df31a689840c09299972e704dac592e0da6f18486646a7ee3e@buzz.block.builderlab.xyz> Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>