feat: Complete distributed-systems category with 15 comprehensive skills

Create final batch of distributed systems skills:
- distributed-locks: Redlock, ZooKeeper locks, fencing tokens, lease-based
- leader-election: Bully, ring, consensus-based election patterns
- gossip-protocols: Epidemic protocols, SWIM, failure detection, membership
- probabilistic-data-structures: Bloom filters, HyperLogLog, Count-Min Sketch

Plus gateway skill and category index with workflow examples.

Distributed-systems category complete: 15 skills covering consensus, CRDTs,
clocks, consistency, replication, partitioning, coordination, and probabilistic
algorithms.

Author: rand

skills/discover-distributed-systems/SKILL.md

@@ -0,0 +1,118 @@
+---
+name: discover-distributed-systems
+description: Automatically discover distributed systems skills when working with consensus, CRDTs, replication, partitioning, and distributed algorithms
+---
+
+# Distributed Systems Skills Discovery
+
+Provides automatic access to comprehensive distributed systems skills.
+
+## When This Skill Activates
+
+This skill auto-activates when you're working with:
+- Consensus algorithms (RAFT, Paxos)
+- CAP theorem, consistency models
+- CRDTs and eventual consistency
+- Vector clocks, causality
+- Replication and partitioning
+- Distributed locks and leader election
+- Gossip protocols
+- Probabilistic data structures
+
+## Available Skills
+
+### Quick Reference
+
+The Distributed Systems category contains 15 skills:
+
+1. **cap-theorem** - CAP theorem, consistency vs availability trade-offs
+2. **consensus-raft** - RAFT consensus, leader election, log replication
+3. **consensus-paxos** - Paxos consensus, Basic/Multi-Paxos
+4. **crdt-fundamentals** - Conflict-free Replicated Data Types basics
+5. **crdt-types** - Specific CRDT implementations (LWW, OR-Set, RGA)
+6. **vector-clocks** - Causality tracking, happens-before
+7. **logical-clocks** - Lamport clocks, logical time
+8. **eventual-consistency** - Consistency levels, quorums, BASE
+9. **conflict-resolution** - LWW, multi-value, semantic resolution
+10. **replication-strategies** - Primary-backup, multi-primary, chain, quorum
+11. **partitioning-sharding** - Hash/range/consistent hashing, rebalancing
+12. **distributed-locks** - Redlock, ZooKeeper locks, fencing tokens
+13. **leader-election** - Bully, ring, consensus-based election
+14. **gossip-protocols** - Epidemic protocols, failure detection
+15. **probabilistic-data-structures** - Bloom filters, HyperLogLog, Count-Min Sketch
+
+### Load Full Category Details
+
+For complete descriptions and workflows:
+
+```bash
+cat skills/distributed-systems/INDEX.md
+```
+
+This loads the full Distributed Systems category index with:
+- Detailed skill descriptions
+- Usage triggers for each skill
+- Common workflow combinations
+- Cross-references to related skills
+
+### Load Specific Skills
+
+Load individual skills as needed:
+
+```bash
+cat skills/distributed-systems/cap-theorem.md
+cat skills/distributed-systems/consensus-raft.md
+cat skills/distributed-systems/crdt-fundamentals.md
+cat skills/distributed-systems/replication-strategies.md
+```
+
+## Common Workflows
+
+### Understanding Consistency Trade-offs
+```bash
+# CAP → Eventual consistency → Conflict resolution
+cat skills/distributed-systems/cap-theorem.md
+cat skills/distributed-systems/eventual-consistency.md
+cat skills/distributed-systems/conflict-resolution.md
+```
+
+### Implementing Consensus
+```bash
+# RAFT → Leader election → Replication
+cat skills/distributed-systems/consensus-raft.md
+cat skills/distributed-systems/leader-election.md
+cat skills/distributed-systems/replication-strategies.md
+```
+
+### Building Eventually Consistent Systems
+```bash
+# CRDTs → Vector clocks → Conflict resolution
+cat skills/distributed-systems/crdt-fundamentals.md
+cat skills/distributed-systems/vector-clocks.md
+cat skills/distributed-systems/conflict-resolution.md
+```
+
+### Scaling Data
+```bash
+# Partitioning → Replication → Gossip
+cat skills/distributed-systems/partitioning-sharding.md
+cat skills/distributed-systems/replication-strategies.md
+cat skills/distributed-systems/gossip-protocols.md
+```
+
+## Progressive Loading
+
+This gateway skill enables progressive loading:
+- **Level 1**: Gateway loads automatically (you're here now)
+- **Level 2**: Load category INDEX.md for full overview
+- **Level 3**: Load specific skills as needed
+
+## Usage Instructions
+
+1. **Auto-activation**: This skill loads automatically when Claude Code detects distributed systems work
+2. **Browse skills**: Run `cat skills/distributed-systems/INDEX.md` for full category overview
+3. **Load specific skills**: Use bash commands above to load individual skills
+
+---
+
+**Next Steps**: Run `cat skills/distributed-systems/INDEX.md` to see full category details.

skills/distributed-systems/INDEX.md

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+# Distributed Systems Skills
+
+## Category Overview
+
+**Total Skills**: 15
+**Category**: distributed-systems
+
+## Skills in This Category
+
+### cap-theorem.md
+**Description**: CAP theorem fundamentals, consistency vs availability trade-offs, and practical implications for distributed system design
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/cap-theorem.md
+```
+
+---
+
+### consensus-raft.md
+**Description**: RAFT consensus algorithm including leader election, log replication, safety guarantees, and implementation patterns
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/consensus-raft.md
+```
+
+---
+
+### consensus-paxos.md
+**Description**: Paxos consensus algorithm including Basic Paxos, Multi-Paxos, roles, phases, and practical implementations
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/consensus-paxos.md
+```
+
+---
+
+### crdt-fundamentals.md
+**Description**: Conflict-free Replicated Data Types (CRDTs) fundamentals including convergence, commutativity, and basic CRDT operations
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/crdt-fundamentals.md
+```
+
+---
+
+### crdt-types.md
+**Description**: Specific CRDT implementations including LWW-Register, OR-Set, RGA, and collaborative text editing CRDTs
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/crdt-types.md
+```
+
+---
+
+### vector-clocks.md
+**Description**: Vector clocks for tracking causality in distributed systems, detecting concurrent events, and resolving conflicts
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/vector-clocks.md
+```
+
+---
+
+### logical-clocks.md
+**Description**: Lamport logical clocks for establishing happened-before ordering in distributed systems without synchronized physical clocks
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/logical-clocks.md
+```
+
+---
+
+### eventual-consistency.md
+**Description**: Eventual consistency models, consistency levels, read/write quorums, and practical trade-offs in distributed systems
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/eventual-consistency.md
+```
+
+---
+
+### conflict-resolution.md
+**Description**: Conflict resolution strategies including Last-Write-Wins, multi-value, semantic resolution, and application-specific merge functions
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/conflict-resolution.md
+```
+
+---
+
+### replication-strategies.md
+**Description**: Data replication strategies including primary-backup, multi-primary, chain replication, and quorum-based replication
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/replication-strategies.md
+```
+
+---
+
+### partitioning-sharding.md
+**Description**: Data partitioning and sharding strategies including hash-based, range-based, consistent hashing, and rebalancing
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/partitioning-sharding.md
+```
+
+---
+
+### distributed-locks.md
+**Description**: Distributed locking patterns including Redis Redlock, ZooKeeper locks, lease-based locking, and fencing tokens
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/distributed-locks.md
+```
+
+---
+
+### leader-election.md
+**Description**: Leader election algorithms including bully algorithm, ring algorithm, and consensus-based election with RAFT/Paxos
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/leader-election.md
+```
+
+---
+
+### gossip-protocols.md
+**Description**: Gossip protocols for disseminating information, failure detection, and eventual consistency in large-scale distributed systems
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/gossip-protocols.md
+```
+
+---
+
+### probabilistic-data-structures.md
+**Description**: Probabilistic data structures including Bloom filters, HyperLogLog, Count-Min Sketch for space-efficient approximations
+
+**Load this skill**:
+```bash
+cat skills/distributed-systems/probabilistic-data-structures.md
+```
+
+---
+
+## Loading All Skills
+
+```bash
+# List all skills in this category
+ls skills/distributed-systems/*.md
+
+# Load specific skills
+cat skills/distributed-systems/cap-theorem.md
+cat skills/distributed-systems/consensus-raft.md
+cat skills/distributed-systems/crdt-fundamentals.md
+# ... and 12 more
+```
+
+## Related Categories
+
+See `skills/README.md` for the complete catalog of all categories and gateway skills.
+
+---
+
+**Browse**: This index provides a quick reference. Load the `discover-distributed-systems` gateway skill for common workflows and integration patterns.
+
+```bash
+cat skills/discover-distributed-systems/SKILL.md
+```