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Recipes, Overlays, and Mixins

The recipe data layer is the rule-based engine that turns a Criteria query ({service, accelerator, intent, os, platform, nodes}) into a resolved RecipeResult — the merged spec, component refs, deployment order, and validation phases that aicr bundle consumes.

This page covers everything related to AICR recipes for contributors: the three layers that contribute data (registry, overlay, mixin), the on-disk schemas for each, the resolver's merge algorithm, and the invariants the resolver enforces. End-user recipe authoring lives in recipe-development.md; this page is for contributors changing recipe content or extending the resolver in pkg/recipe.

Where does my change go? Most changes hit exactly one of three files. Skim Decision matrix before editing — picking the wrong layer leaks defaults across recipes or duplicates content across overlays.

Layered Model

┌──────────────┐  ┌──────────────┐  ┌──────────────┐
│   Registry   │  │    Mixin     │  │   Overlay    │
│ recipes/     │  │ recipes/     │  │ recipes/     │
│ registry.yaml│  │ mixins/*.yaml│  │ overlays/    │
│              │  │              │  │              │
│ Component    │  │ Composable   │  │ Criteria-    │
│ catalog +    │  │ fragment     │  │ matched      │
│ defaults     │  │ (constraints │  │ recipe with  │
│ (chart, ns,  │  │ + componentRefs)│ │ spec.base   │
│ scheduling)  │  │              │  │ inheritance  │
└──────┬───────┘  └──────┬───────┘  └──────┬───────┘
       │                 │                 │
       └─────────────────┴─────────────────┘
                         │
                         ▼
              ┌────────────────────┐
              │ RecipeResult       │
              │ (merged, ordered,  │
              │  validated)        │
              └────────────────────┘

Resolution: the resolver loads the base spec (overlays/base.yaml) as the merge seed, then merges each matching overlay's inheritance chain on top (base → ... → leaf), then applies the leaf's mixins, then finally injects registry defaults for any component field the chain left unset. Per-component values files (recipes/components/<name>/) are pulled in at bundle time, not at recipe resolution.

Decision Matrix

Registry entry Overlay Mixin
Purpose Make a chart/kustomization available to recipes; set component-wide defaults Pin versions, set values, scope by criteria Share constraints or componentRefs across overlays
Authority Component-wide (one entry per component) Criteria-matched (selected by query) Opt-in (referenced via spec.mixins)
File recipes/registry.yaml (one entry) recipes/overlays/<name>.yaml (one file per shape) recipes/mixins/<name>.yaml (one file per fragment)
Lifecycle Add once; bump defaultVersion on chart upgrade Add per cluster shape; cull when shape retires Stable; new mixin only when ≥ 2 leaves duplicate the same block
Kind ComponentRegistry RecipeMetadata RecipeMixin
Carries criteria? No Yes (spec.criteria) No (rejected at load)
Carries base? No Yes (single-parent chain) No
Example "make gpu-operator available, default to chart v25.10.1" "for eks + gb200 + training + ubuntu, pin K8s ≥ 1.32.4" "for any overlay opting in via mixins: [os-ubuntu], require Ubuntu 24.04"

Rule of thumb: a change targeting all recipes goes in registry; a change targeting one cluster shape goes in an overlay; a change shared by ≥ 2 overlays as an opt-in fragment goes in a mixin.

Registry (recipes/registry.yaml)

The registry is the component catalog. Each entry declares a chart or kustomization the resolver can reference and supplies defaults the resolver injects into any ComponentRef that leaves the field unset.

Top-level schema (ComponentRegistry):

apiVersion: aicr.run/v1alpha2
kind: ComponentRegistry
components:
  - name: <component-id>
    ...

ComponentConfig fields (see pkg/recipe/components.go):

Field Type Required Purpose
name string yes Component identifier (matches componentRefs[].name in overlays)
displayName string yes Human label used in CLI output and bundle templates
valueOverrideKeys []string no Alt keys for --set <key>:path=value (e.g., gpuoperator)
helm HelmConfig one of helm/kustomize Chart defaults (see below)
kustomize KustomizeConfig one of helm/kustomize Kustomization defaults (see below)
nodeScheduling NodeSchedulingConfig no Helm value paths for injecting selectors/tolerations/taints (system, accelerated, plus nodeCountPaths)
podScheduling PodSchedulingConfig no Helm value paths for workload pod scheduling injection
storageClassPaths []string no Helm value paths where --storage-class is written
validations []ComponentValidationConfig no Bundle-time validation checks (function, severity, conditions, message)
healthCheck.assertFile string yes Chainsaw assert YAML (relative to data dir) consumed by aicr validate --phase deployment (runtime — #1220) and by make check-health locally. Content is restricted to the read-only assert / error operation allowlist. Enforced at PR time by pkg/recipe.TestComponentRegistry_RequiresHealthCheck (every component must declare a path) and validators/chainsaw.TestValidateTestReadOnly_RegistryContent (every declared path must pass the allowlist) — see #1223.
gkeCriticalPriority bool no Synthesize ResourceQuota on GKE so system-*-critical pods admit
hasSelfRefCRDs bool no Tells helmfile to emit disableValidation: true (chart ships CRD + CR in same release)
manifestsUseChartCRDs bool no Tells helmfile to emit disableValidation: true on the release carrying the attached manifests — the injected -post wrapper, or the collapsed vendored folder under --vendor-charts (manifests create CRs of CRDs the chart installs)

HelmConfig: defaultRepository, defaultChart, defaultVersion, defaultNamespace. KustomizeConfig: defaultSource, defaultPath, defaultTag. A component must have either helm or kustomize, not both.

pkg/component/generic.go carries a ComponentConfig marked Deprecated: — that is a separate, unused-in-production legacy type; the live ComponentConfig is the one in pkg/recipe/components.go.

Defaults flow into a ComponentRef only when the field is empty — see applyRegistryDefaults below. defaultVersion is the single source of truth for a component's version and a pinned overlay must not diverge from it unexpectedly — see Version pinning is single-source.

Overlay (recipes/overlays/)

An overlay is a RecipeMetadata document with a spec.criteria block that selects it for matching queries. Overlays live in recipes/overlays/ and inherit single-parent via spec.base.

kind: RecipeMetadata
apiVersion: aicr.run/v1alpha2
metadata:
  name: gb200-eks-ubuntu-training
spec:
  base: gb200-eks-training       # inheritance chain root → leaf
  mixins:                        # composed AFTER inheritance merge
    - os-ubuntu
  criteria:
    service: eks                 # query → overlay selection
    accelerator: gb200
    os: ubuntu
    intent: training
    # platform: kubeflow         # optional 6th dimension
  constraints:                   # OS/K8s/GPU/SystemD constraints
    - name: K8s.server.version
      value: ">= 1.32.4"
  componentRefs: []              # overrides on inherited components
  validation:                    # per-phase validation config
    readiness:   { ... }
    deployment:  { ... }
    performance: { ... }
    conformance: { ... }

Criteria fields (see pkg/recipe/criteria.go type Criteria):

Field Type Wildcard Static OSS values
service CriteriaServiceType any or empty eks, gke, aks, oke, ocp, kind, lke, bcm
accelerator CriteriaAcceleratorType any or empty h100, h200, gb200, b200, a100, l40, l40s, rtx-pro-6000
intent CriteriaIntentType any or empty training, inference
os CriteriaOSType any or empty ubuntu, rhel, cos, amazonlinux, ol, talos
platform CriteriaPlatformType any or empty dynamo, kubeflow, nim, runai, slurm
nodes int 0 any positive int

--data overlays may contribute additional values via the criteria registry — Has(FieldX, ...) is consulted when a value misses the fast-path switch in Parse<X>. Adding a new value to a Go enum (e.g., a new accelerator) is multi-file work; audit CriteriaAccelerator* callers as listed in CLAUDE.md before merging.

Specificity. Each criteria carries a specificity score equal to the count of non-any, non-empty fields. The current Specificity() in criteria.go counts six fields: service, accelerator, intent, os, platform, nodes. Overlays are sorted by specificity ascending, so less-specific overlays merge first.

Matching is asymmetric. Recipe-side any is a wildcard (matches anything in the query); query-side any is not a wildcard (matches only recipe-side any). A generic query never resolves to a hardware-specific recipe. See MatchesCriteriaField in criteria.go.

Inheritance. spec.base walks a single-parent chain from leaf → ... → base (the root spec, held separately on the metadata store). Cycles are detected at catalog load. Per-field merge: constraints merge by name (later wins on same name; new appended); componentRefs merge by name field-by-field; criteria are not inherited (each recipe declares its own).

Leaf. A leaf is the most specific overlay in a chain — the terminal node carrying fully-qualified criteria (every relevant dimension set, e.g. service + accelerator + os + intent + platform) that an end-user query actually resolves to. A leaf usually adds little of its own (often componentRefs: []); its job is to bind one inheritance chain plus its mixins under a single criteria fingerprint. "Base → ... → leaf" throughout this page refers to walking from the root spec down to this node. Leaf is a role, not a distinct kind — every overlay is a RecipeMetadata; "leaf" just names the ones at the end of a chain.

Mixin Composition

Inheritance is single-parent, which means cross-cutting concerns (OS constraints, platform components) would otherwise duplicate across every leaf. Mixins are composable fragments referenced via spec.mixins. They live in recipes/mixins/ and use kind RecipeMixin.

# recipes/mixins/os-ubuntu.yaml
kind: RecipeMixin
apiVersion: aicr.run/v1alpha2
metadata:
  name: os-ubuntu
spec:
  constraints:
    - name: OS.release.ID
      value: ubuntu
    - name: OS.release.VERSION_ID
      value: "24.04"
  componentRefs: []   # optional

Mixin files currently in the tree: os-ubuntu, os-talos, platform-inference, platform-kubeflow.

Mixin rules:

  • A mixin carries only constraints and componentRefs. Setting criteria, base, mixins, or validation is rejected at load.
  • Resolution order: base chain merged first, then mixins applied to the merged result. A leaf adopts a mixin by listing its file basename in spec.mixins.
  • Mixin componentRefs are restricted to additive merges via mixinComponentRefSafeForMerge (see pkg/recipe/metadata_store.go). A mixin componentRef may only set name, namespace, manifestFiles, preManifestFiles. Setting any of chart, type, source, version, tag, path, valuesFile, overrides, patches, dependencyRefs, cleanup, expectedResources, healthCheckAsserts is rejected at compose time — those fields silently override the chain's chosen chart, so the resolver names the offending field and refuses to merge (see ADR-005 "Silent constraint override" mitigation).
  • When a snapshot evaluator is wired in, mixin constraints are evaluated against it after merging; failure invalidates the entire composed candidate. In plain query mode mixin constraints are merged but not evaluated.

Criteria Wildcard Overlays

Some overlays apply across an entire criteria dimension without being referenced via spec.base or spec.mixins. The resolver picks them up automatically because FindMatchingOverlays returns all maximal matches, not just the most specific one. Two wildcard patterns in the tree today: gb200-any.yaml (matches service: any) and monitoring-hpa.yaml (matches intent: any).

# recipes/overlays/gb200-any.yaml
spec:
  base: base
  criteria:
    service: any        # wildcard — matches eks, oke, gke, ...
    accelerator: gb200
  validation:
    deployment:
      constraints:
        - name: Deployment.gpu-operator.version
          value: ">= v25.10.0"

For a query {service: eks, accelerator: gb200, intent: training}, the resolver returns three independent maximal leaves — gb200-eks-training (matched by explicit criteria), gb200-any (matched by service: any), and monitoring-hpa (matched by intent: any). Each leaf's inheritance chain is resolved separately and merged onto the base spec in specificity order.

Maximal-leaf filter. filterToMaximalLeaves (in metadata_store.go) drops any match that is a transitive spec.base ancestor of another match — ancestors re-enter the output via chain resolution, so keeping them as separate matches would double-count their contributions. Independent leaves on unrelated chains (wildcard + explicit) are kept; one is not an ancestor of the other.

When to use a wildcard overlay vs a mixin:

Use a criteria-wildcard overlay when... Use a mixin when...
Content applies based on query criteria Content applies based on explicit opt-in
Consumer set is determined by matching Consumer set is an enumerated list of leaves
Adopt-by-default is desired for new matching overlays Each consumer should reference it explicitly
You need a validation block (mixins can't carry one) You only need constraints / componentRefs

Precedence. Leaves merge in specificity-ascending order, so a service-specific leaf overrides the wildcard on same-named constraints. spec.validation.<phase> blocks merge per-field: checks and constraints union (nil = inherit, [] = clear, non-empty = union); nodeSelection and infrastructure are wholesale-replace. Don't carry per-fabric values in a wildcard (NCCL bandwidth thresholds differ per service); reserve wildcards for content genuinely uniform across the wildcard dimension.

Merge Algorithm

The resolver lives in pkg/recipe/metadata_store.go. The merge proceeds in this temporal order:

base chain (root → leaf) → mixins → registry defaults → CLI/API --set

The base inheritance chain is merged first (root → leaf, later ancestors override earlier ones on same-named entries). Mixins are applied after the chain, not before it: mergeMixins appends each referenced mixin's constraints and componentRefs. A mixin constraint whose name already exists in the chain (or in another mixin) is rejected — constraints have no merge semantic, so a name collision is treated as an unambiguous conflict, not resolved by last-wins precedence. Registry defaults then fill any still-empty componentRef fields, and CLI/API --set overrides win last.

Implementation notes:

  1. Seed. initBaseMergedSpec() clones s.Base (parsed from overlays/base.yaml) into the merge target. The base spec is held separately on the metadata store; it is not an overlay candidate in FindMatchingOverlays.
  2. Chain merge. For each maximal leaf, the inheritance chain is walked root → leaf and mergedSpec.Merge(&recipe.Spec) is called for each. Same-named constraints/componentRefs override; new entries append.
  3. Mixin merge. mergeMixins(mergedSpec) walks spec.mixins on the leaf, loads each from recipes/mixins/, and appends. mixinComponentRefSafeForMerge rejects mixin componentRefs that touch identity/sourcing fields.
  4. Registry defaults. applyRegistryDefaults(provider, refs) fills in chart/version/namespace/source/tag/path defaults for any ComponentRef field still empty after the chain merge. Failure to load the registry is propagated, not swallowed — partial refs would fail downstream far from the root cause.
  5. Topological sort. TopologicalSort() orders components by dependencyRefs for the final DeploymentOrder. Cycles produce ErrCodeInvalidRequest. Components disabled via overrides.enabled: false (ComponentRef.IsEnabled()) are excluded from the ordering, and an edge pointing at a declared-but-disabled component is treated as satisfied (assumed provided externally) so it does not trigger a false cycle; an edge to an undeclared component still surfaces as ErrCodeInvalidRequest. TopologicalLevels() / ComponentRefsTopologicalLevels() apply the same filter.

Deep-copy semantics. deepMergeMap (metadata.go) recurses into nested map[string]any. Non-map values (scalars and []any) are deep-copied via serializer.DeepCopyAny so dst never aliases src's slice values. This matters: copying []any by reference during overlay merge would let a downstream mutation (e.g., bundler appending a toleration) leak back into the cached source map and corrupt subsequent queries. The CLAUDE.md anti-patterns list calls this out — any new helper that touches overlay-derived maps must follow the same rule.

Determinism

Recipe output is reproducible: same inputs → same bytes. The data layer enforces this via two rules.

Use serializer.MarshalYAMLDeterministic for any output that feeds a digest, signature, OCI manifest, or fingerprint. yaml.v3 walks Go maps in randomized order, so two consecutive marshals of the same map[string]any produce different byte sequences. Plain yaml.Marshal is fine for human-readable scratch output but is a correctness bug anywhere a downstream consumer hashes the bytes.

Per-dimension ordered lists, not unordered maps. RecipeResult fields like appliedOverlays, componentRefs, deploymentOrder, and the per-dimension fingerprint diff are ordered slices, not maps, so iteration is deterministic.

Recipe Store Immutability

The metadata store is read-only after init. LoadMetadataStoreFor(dp) returns a sync.Once-cached *MetadataStore per DataProvider identity, so concurrent recipe builds against the same provider share the store without locks. Per-request mutations (chain resolution, constraint evaluation, registry defaulting) happen on clones, never on the cached spec.

Deferred registration. pendingRegistryEntry stages each overlay's criteria for the per-provider criteria registry before registration. The actual Register(field, value, origin) calls only fire after every overlay parses cleanly, the base recipe is present, and dependency validation passes. Partial catalog loads never leak into the registry; a malformed overlay does not poison criteria validation for the next process.

Eviction. EvictCachedStore(provider) and EvictCachedRegistry(provider) drop a single provider's cache entry without disturbing other providers. Use after rewriting a --data overlay on disk.

Observable RecipeResult Surfaces

RecipeResult (in pkg/recipe/metadata.go) is the resolver's externally-visible product. Fields beyond ComponentRefs and DeploymentOrder that contributors should be aware of:

Field Purpose
Metadata.AppliedOverlays Ordered list of overlays merged into this result (base first, leaf last).
Metadata.ExcludedOverlays Overlays that matched criteria but were dropped (e.g., a mixin constraint failed against the snapshot). Each carries a typed Reason (constraint-failed, mixin-constraint-failed).
Metadata.ConstraintWarnings Per-constraint detail for excluded overlays (overlay, constraint name, expected vs actual, reason text).
Validation Multi-phase config (readiness, deployment, performance, conformance) inherited from overlay metadata.
owner (unexported) *Builder that produced this result. AssertOwnedBy(b) enforces — two builders bound to different DataProviders must not cross-read each other's results.
provider (unexported) DataProvider that produced this result; accessed via (*RecipeResult).DataProvider(). Lets GetValuesForComponent route file reads through the originating provider even after the package-global has rotated.

ComponentRef extras beyond the chart-identity fields:

Field Purpose
ManifestFiles Extra manifest files to bundle at sync-wave N+1 (after primary chart). Additive merge, dedup.
PreManifestFiles Manifest files to bundle at sync-wave N-1 (before primary chart) — e.g., a Namespace with PSS labels the chart pods need. Additive merge, dedup; .. segments rejected at load.
ExpectedResources List of {Kind, Name, Namespace} the deployment phase validator asserts exist. Overlay wholesale-replaces.
HealthCheckAsserts Raw Chainsaw assert YAML loaded from the registry's healthCheck.assertFile; overlay wins if set.
Cleanup Bundler uninstalls this component after validation (used for ephemeral validators like nccl-doctor).

Adding a Recipe

  1. Decide registry vs overlay vs mixin (decision matrix).
  2. Write the YAML in the correct directory. For an overlay, set spec.base to the most specific shared ancestor and let the chain carry shared constraints; only declare what differs.
  3. Ship the chainsaw health check (registry entries only). Every new component in recipes/registry.yaml MUST declare healthCheck.assertFile pointing at recipes/checks/<name>/health-check.yaml, and that file MUST use only the read-only assert / error operation allowlist (no script, apply, wait, command, etc. — see validators/chainsaw/allowlist.go). The contract is enforced at PR time by pkg/recipe.TestComponentRegistry_RequiresHealthCheck and validators/chainsaw.TestValidateTestReadOnly_RegistryContent — both gate make qualify. See #1223 and the chainsaw health check section in validator.md for the assertion patterns currently in use (DaemonSet numberReady == desiredNumberScheduled, Deployment Available=True, CRD Established=True).
  4. Run make bom-docs and commit docs/user/container-images.md if your change touches registry.yaml, a component's values.yaml, or a chart version pin (see BOM regeneration).
  5. Unit tests. make test runs the recipe-resolution suite — pkg/recipe/yaml_test.go (static catalog: parse, refs, enum values, inheritance depth, no cycles) and pkg/recipe/metadata_test.go (runtime merge, topological sort). Both gate make qualify. If your change adds a registry entry, a new overlay file, or a mixin, the static suite typically picks it up without new test code.
  6. Integration validation. For a new chart pin, run make qualify and let the e2e pipeline render the bundle. KWOK simulated clusters (make kwok-e2e RECIPE=<name>) catch most resolution regressions without GPU hardware.

BOM Regeneration

docs/user/container-images.md is auto-generated from the actual rendered Helm templates of every chart referenced by the registry. It is regenerated by make bom-docs.

Run make bom-docs and commit the regenerated docs/user/container-images.md in the same PR whenever you:

  • Add or remove a component in recipes/registry.yaml
  • Bump a chart version (in registry.yaml, an overlay, or a mixin)
  • Modify a component's values.yaml in a way that changes which images render (image repo override, subchart enable/disable, etc.)

The regen can also surface drift from upstream chart updates — when a chart bumps an image inside its own templates without a registry pin change on our side. That drift will appear in the BOM diff whether you expected it or not.

Version freshness is gated; image drift is not

TestCommittedBOMVersionsMatchRegistry (tools/bom/freshness_test.go, run by make testmake qualify) checks the committed doc's version column against the registry pins with no Helm rendering, so a chart-pin bump that forgets make bom-docs fails CI. The check treats the doc as an exact registry projection: it is bidirectional (a component added to the registry without a doc row, or a doc row left behind after a component is removed, both fail), rejects duplicate rows, and compares every row — pinned components by their effective type (Helm defaultVersion or Kustomize defaultTag) and unpinned components against the sentinel, so a fabricated version on an otherwise unpinned row cannot slip through. Because a docs-only PR that edits the committed BOM skips the full tests job, the bom-freshness job in .github/workflows/merge-gate.yaml runs this same test whenever docs/user/container-images.md or recipes/registry.yaml change, so the gate holds for docs-only edits too.

TestCommittedBOMVariantsMatchRecipePins (same file, same jobs) gates the doc's Version variants table the same way: it derives every explicit base/overlay/mixin Helm pin that differs from its registry default and compares bidirectionally — a new divergent pin without a variant row fails, and a stale row without a backing pin fails. Variant discovery reads only the recipe data (the pins are the source facts); it has no dependency on the version-pin guard's exemption policy, which decides whether a divergence is allowed, not what deploys.

Neither gate catches upstream image drift — a chart bumping an image inside its own templates without a pin change on our side. Full make bom-check verifies that too by re-rendering, but it is opt-in only — not wired into make qualify, make lint, or the PR gate. So you still must run make bom-docs after a values change.

Version pinning is single-source

The BOM renders each chart at its registry defaultVersion, but at resolution the registry default is only a fallback: a componentRef that sets version (Helm) or tag (Kustomize) in base.yaml, an overlay, or a mixin overrides it. So the BOM reflects what recipes actually install only when no pin diverges from the registry default. A pin that drifts from the default — most dangerously on a component whose sole consumer diverges — makes the BOM advertise a version no recipe installs (issue #1424; #1418's aws-efa bug).

The registry defaultVersion is therefore the single source of truth for a component's version. TestOverlayVersionPinsMatchRegistry (pkg/recipe/version_pin_guard_test.go, run by make testmake qualify) fails if any base/overlay/mixin pin diverges from the registry default. A version bump must update the registry default (the BOM reads it) and every pin that sets it, or CI fails. If an overlay must legitimately run a different chart version (e.g. a platform validated against an older chart), add an entry to versionPinExemptions with a justification — a declared divergence is not a silent one. Do not exempt a component whose only consumer diverges; that reinstates the exact fiction the guard prevents.

Common Pitfalls

  • Skipping make bom-docs after a values change that alters rendered images. A stale version column now fails CI (TestCommittedBOMVersionsMatchRegistry), but image drift from a values change without a pin bump does not surface in qualify — the BOM goes stale silently. See Version freshness is gated; image drift is not.
  • Mutating in place during merge. Overlay-derived map[string]any and []any must be deep-copied, not aliased. deepMergeMap does this for you; a bespoke helper that recurses into maps but copies []any by reference will alias and corrupt the cached source map.
  • Plain yaml.Marshal on output that feeds a digest. Use serializer.MarshalYAMLDeterministic for any byte sequence a downstream consumer hashes (evidence predicate body, OCI manifest, signature input, fingerprint).
  • Adding a new criteria value to the Go enum but missing call sites. A new accelerator, OS, intent, or platform value is enumerated in many files — the criteria registry, OpenAPI spec, every docs page that lists current values, issue templates, the Specificity() helper. Start from the Go type in criteria.go and follow the audit list in CLAUDE.md.
  • Setting identity fields in a mixin componentRef when overriding an inherited component. A mixin may not override chart, version, valuesFile, etc. on a component the inheritance chain already carries — the resolver rejects with the offending field name. Move chart-changing logic to an overlay. (A mixin may still introduce a new component with these fields.)
  • Bumping a chart version in only one place. The registry defaultVersion is the single source of truth; an overlay version pin that drifts from it makes the BOM advertise a version no recipe installs. TestOverlayVersionPinsMatchRegistry fails on undeclared drift — see Version pinning is single-source.
  • Assuming the cluster fingerprint is trustworthy. The fingerprint block persisted in aicr snapshot output is advisory; trust-bearing consumers recompute via fingerprint.FromMeasurements(...) before acting. See the collector docs and ADR-007 for details.

See Also