[{"type":"thinking","thinking":"Health check returned nothing — server may be down. Let me run the healthcheck script per §6.1, and also directly test the render pipeline offline to find the math bug.\n\nActually, first let me test render_markdown offline with a realistic sample from a derivations file to see what HTML comes out. That's the fastest deterministic diagnosis. Then restart the server and check a live page.","signature":""},{"type":"text","text":"Server seems down. Let me test the render pipeline offline first — that will show the bug directly."},{"type":"tool_use","id":"Bash_9","name":"Bash","input":{"command":"cd D:/Python/Quantum && ./.venv/Scripts/python.exe -c \"\nimport sys; sys.path.insert(0, 'web')\nfrom dashboard.research_data import render_markdown\nsample = r'''\n## Test\n\nThe bound \\$|S_f(n)| \\le A\\sqrt{n} + B_0\\$ holds with \\$\\lambda_a > 0\\$ for all \\$a\\$.\n\n\\$\\$\\sum_{\\rho} \\frac{1}{|\\rho|^2} < \\infty\\$\\$\n\nInline with subscripts \\$x_{i+1} = f(x_i)\\$ and *emphasis after* math.\n\n- item with \\$n \\le N_1 = (T_0-1)^2\\$\n'''\nprint(render_markdown(sample))\n\"","description":"Test markdown+math render pipeline with sample math"},"extra_content":null}]