# T561 repair handoff Finding 1 is done. The live draft still said that the mean was independent of L. Its counting comment now says: “The quotient in the definition is independent of $L>0$.” The whole paragraph was read before submission. EKZ, arXiv:1112.5872v6, Section 1.6, equations (1.3)-(1.4), pages 8-9, defines the area-weighted count and states constancy of its probability mean divided by pi*L^2. Consequently the unnormalized mean is proportional to L^2. This verifies the correction from the cited theorem. The computation is a generator-agreement check, not an independent proof of that theorem. Source: https://arxiv.org/pdf/1112.5872 . The PDF and its SHA-256 are retained with the repair artifacts. The unchanged live generator verified 25/25 stored values, with no missing, extra or differing entries, under Sage 10.9 and numberdb 0.1.10. No new values were computed for submission. Only Comments.counting changed; all numeric entries, their order, parameter declarations, definition, programs, completeness and generator bytes are preserved. Read-back exactly matches the proposed document. The audit is clean with zero findings. The original generator and its build checks remain attached; repair-check.py adds a read-only verification. GET /T561 returned 404 with this API credential; the authenticated document API returned 200, while the public document API exposed no table. The repair used the site's server-rendered preview for the changed paragraph, together with its definition, parameters, references and one stored row. Chromium rendered it without MathJax errors; its screenshot was inspected. This is not a claim to have inspected the normal authenticated draft page. The governing archive is agents/runs/20261027T212311Z-repair-skills/manifest.json. Manifest SHA-256: 468f5191d13df1eaecac71d659cc26682a40378c5982ce84143ed004d1933cc7. Both skill-local.md and skill-live.md were read and have SHA-256 e37efb7e2ededf6c1d7134c673f152f648f26e0267c556aebdf3ec65765d8b4c. The source snapshot's canonical skill matches. skill-evidence.json and repair-evidence.json record these hashes with the numerical evidence. Fresh independent critique is required on this same draft, T561. Changing Comments changes the campaign selection fingerprint, even though no selected arguments changed. The old independent T561-arguments.json is untouched; this repair makes no new acceptance decision. The before/after fingerprints and preserved generator digest are recorded in repair-evidence.json. The controller retains the existing draft and determines the next stage. No table was created, offered, published or reviewed. No source snapshot, skill, prompt, pipeline file or controller state was edited, and no commit or push was made. The single-finding repair report is at agents/critiques/T561-repaired.md. All scripts and evidence are retained in agents/runs/20261027T212311Z-repair-work/.