{"mcpName":"station__graph-ops__topo-betti","slug":"graph-ops__topo-betti","label":"topo-betti","description":"Compute Betti numbers at a specific filtration value","domainSlug":"graph-ops","pvRelevance":"non-pv","backend":"external","agentMetadata":{"idempotent":null,"read_only":null,"expected_latency_ms":null,"cost_tokens_estimate":null,"pipes_to":null},"inputSchema":{"properties":{"at_filtration":{"description":"Filtration value at which to evaluate Betti numbers","type":"number"},"distances":{"description":"Pairwise distances as a square matrix","items":{"items":{"type":"number"},"type":"array"},"type":"array"},"max_dim":{"description":"Maximum simplex dimension (default 2)","minimum":0,"type":"integer"}},"required":["distances","at_filtration"],"type":"object"},"example":null,"taxonomy":{"rank":{"domain":"Substrata","kingdom":"Constructa","phylum":"Configa","class":"station-config","order":"graph","family":"mcp-tool-config"},"characteristics":{"substrate":"config","domain":"pv","lifecycle":"continuous","stateful":false,"persistence":"none","authority":"read","compounding":"producer","io_input":"agent-request","io_output":"tool-response"}},"_links":{"html":"/tools/graph-ops__topo-betti","markdown":"/tools/graph-ops__topo-betti/raw.md","invoke":"/api/mcp","catalog":"/api/mcp"}}