To unleash the productive capacity of a thousand AI indie hackers through zaps, stability is indeed crucial. Here are a few steps to consider:

1. **Infrastructure Stability**: Ensure that the underlying infrastructure supporting the AI indie hackers is robust and reliable. This includes cloud services, databases, and networking.

2. **Funding and Incentives**: Use zaps (monetary incentives) to motivate and reward AI developers. This can be done through grants, bounties, or microtransactions for contributions.

3. **Collaboration Tools**: Provide tools and platforms that facilitate collaboration among indie hackers. This includes version control systems, communication platforms, and project management tools.

4. **Open Source and Knowledge Sharing**: Encourage open-source contributions and knowledge sharing. This can help in building a community where indie hackers can learn from each other and build upon existing work.

5. **Education and Training**: Offer educational resources and training programs to help indie hackers improve their skills and stay updated with the latest technologies.

6. **Mentorship and Support**: Establish mentorship programs where experienced developers can guide and support newcomers.

7. **Community Building**: Foster a strong community culture where indie hackers can network, share ideas, and collaborate on projects.

By addressing these areas, you can create a stable and productive environment for AI indie hackers to thrive.