{ "$schema": "https://json-schema.org/draft/2020-12/schema", "title": "FAMM Hessian Curvature Receipt", "type": "object", "required": [ "receipt_type", "schema_version", "basis_layer", "operator", "lanczos", "route_decision", "receipt_sha256" ], "properties": { "receipt_type": { "const": "famm_hessian_curvature_receipt" }, "schema_version": { "type": "string" }, "basis_layer": { "const": "HESSIAN_EIGEN" }, "seed": { "type": "integer" }, "operator": { "type": "object", "required": [ "kind", "size", "dtype", "device" ], "properties": { "kind": { "type": "string" }, "size": { "type": "integer", "minimum": 1 }, "dtype": { "type": "string" }, "device": { "type": "string" } } }, "lanczos": { "type": "object", "required": [ "k", "iterations", "eigenvalues", "ritz_residuals", "converged" ], "properties": { "k": { "type": "integer", "minimum": 1 }, "iterations": { "type": "integer", "minimum": 1 }, "eigenvalues": { "type": "array", "items": { "type": "number" } }, "ritz_residuals": { "type": "array", "items": { "type": "number" } }, "converged": { "type": "array", "items": { "type": "boolean" } } } }, "trace": { "anyOf": [ { "type": "null" }, { "type": "object", "properties": { "estimate": { "type": "number" }, "stderr": { "type": [ "number", "null" ] }, "samples_sha256": { "type": "string" } } } ] }, "spectral_density": { "anyOf": [ { "type": "null" }, { "type": "object", "properties": { "sigma": { "type": "number" }, "grid_sha256": { "type": "string" }, "density_sha256": { "type": "string" }, "raw_eigenvalues_sha256": { "type": "string" }, "raw_weights_sha256": { "type": "string" } } } ] }, "route_decision": { "type": "object" }, "no_drift_boundary": { "type": "string" }, "receipt_sha256": { "type": "string" } } }