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Follows #8654. Deriving an x-only public key from a secret key with `nostr.Keys(secret).public` costs about 5.6 ms in pure Dart on an iPhone SE (2nd gen, Profile). The app does it in 10 places, including relay config, the signed-event relay's `pubkey` getter, push lease checks, status updates, and the settings identity row's `build` method. This routes all of them through `derivePublicKeyHex` from #8654, which takes 16.5 µs on the same device. Behavior is unchanged for valid keys: output is the same lowercase hex. For a malformed or out-of-range key the thrown type changes from nostr's `InvalidKeyException` to `ArgumentError`; every affected site either catches all errors or rethrows its own `FormatException`/`StateError`, and nothing in `lib` or `test` matches on the old type. Sites that need a full `nostr.Keys` object (key generation, `AccountIdentityStore`) are unchanged. ### Validation - `derivePublicKeyHex` is checked against `nostr.Keys` for 64 random keys in #8654's `event_signing_test.dart`. - Full mobile analyze and test suite pass on this branch after rebasing onto main, including the package's own tests. - iPhone 12 mini, Profile build of this stack (with #8656 and #8657 on top): paired to the internal Buzz community through Desktop; relay auth, identity row, avatar, and channel/DM/inbox loading all worked under the derived key. buzz-review-completed (agent review, Codex and security review clean; device validation above; human app test not applicable under the mobile testing exception) 🤖 Generated with [Claude Code](https://claude.com/claude-code) --------- Signed-off-by: Tom Brow <tomb@block.xyz> Co-authored-by: george <973be878edd6d4f79692a3827f20a6f7fe0ed0362f269ff6b6ba8867033d7d8e@sprout-oss.stage.blox.sqprod.co> Co-authored-by: Claude Opus 5.5 <noreply@anthropic.com>