Docs for linked SharedState

[masenf]

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[greptile-apps]

Greptile Overview

Greptile Summary

This PR adds comprehensive documentation for the new rx.SharedState feature introduced in Reflex 0.8.23, which enables real-time collaborative applications where multiple clients can share state.

Key additions:

• New docs/state_structure/shared_state.md with detailed documentation covering linking/unlinking, client identification, introspection, and best practices
• Sidebar navigation updated to include the new SharedState docs
• Dependency lockfile updates (alembic, black, certifi, anyio, etc.)

Issues found:

• Missing async keyword in code example at line 188 - the function uses await but isn't declared async
• Two minor typos: "delimeter" → "delimiter" and "relying" → "rely"

Confidence Score: 3/5

• Documentation PR with one code syntax error in an example that would cause confusion if copied
• Score of 3 reflects that while this is primarily documentation, the missing async keyword in the code example is a real syntax error that would fail if users copy the code. The typos are minor but should be fixed before merge.
• docs/state_structure/shared_state.md - line 188 has syntax error (missing async)

Important Files Changed

File Analysis

Filename	Score	Overview
docs/state_structure/shared_state.md	3/5	New documentation for SharedState feature; contains one syntax error (missing async keyword on line 188) and two spelling/grammar issues
pcweb/components/docpage/sidebar/sidebar_items/learn.py	5/5	Added state_structure.shared_state to sidebar navigation - straightforward, correct change
uv.lock	5/5	Standard lockfile updates for dependency version bumps (alembic, black, certifi, anyio, etc.)

Sequence Diagram

sequenceDiagram
    participant C1 as Client 1
    participant C2 as Client 2
    participant SS as SharedState
    participant LT as Linked Token

    C1->>SS: link_to(room_id)
    SS->>LT: Create or Join linked state
    LT-->>C1: Return linked state instance

    C2->>SS: link_to(room_id)
    SS->>LT: Join existing linked state
    LT-->>C2: Return linked state instance

    C1->>LT: Modify state (increment count)
    LT-->>C1: State update propagated
    LT-->>C2: State update propagated

    C2->>SS: unlink()
    SS->>LT: Remove C2 from linked state
    LT-->>C2: Unlinked

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Pull request overview

This PR adds comprehensive documentation for the SharedState feature introduced in Reflex version 0.8.23. SharedState enables real-time collaborative applications where multiple clients can share and interact with the same state data through a token-based linking mechanism.

Key Changes

• Added new documentation page explaining SharedState concepts, usage patterns, and best practices
• Integrated the SharedState documentation into the backend section of the documentation sidebar
• Included interactive code examples demonstrating collaborative features like shared counters and room-based user management

Reviewed changes

Copilot reviewed 2 out of 3 changed files in this pull request and generated 4 comments.

File	Description
pcweb/components/docpage/sidebar/sidebar_items/learn.py	Added state_structure.shared_state to the "State Structure" section of the backend documentation sidebar
docs/state_structure/shared_state.md	New comprehensive documentation file covering SharedState usage, client identification, security considerations, and best practices with multiple interactive examples

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