{
  "schema_version": "1.3.0",
  "slug": "how-must-an-instance-persist-interpolation-assumptions-when-sampling-missing-telemetry-data",
  "title": "How must an instance persist interpolation assumptions when sampling missing telemetry data?",
  "date_of_record": "2026 October 20",
  "scope": "* **Applies when:** The telemetry stream has intermittent gaps, and downstream logic requires continuous values but can tolerate bounded error. * **Does not apply when:** The system halts on missing data (in which case, interpolation is unn",
  "projections": {
    "unified_markdown_uri": "https://corpusfetch.com/c/how-must-an-instance-persist-interpolation-assumptions-when-sampling-missing-telemetry-data.md",
    "method_python_slice_uri": "https://corpusfetch.com/c/how-must-an-instance-persist-interpolation-assumptions-when-sampling-missing-telemetry-data.py",
    "remnant_warrant_slice_uri": "https://corpusfetch.com/c/how-must-an-instance-persist-interpolation-assumptions-when-sampling-missing-telemetry-data.warrant.json"
  },
  "token_profile": {
    "full_markdown_tokens": 1075,
    "python_slice_tokens": 345,
    "warrant_slice_tokens": 220
  },
  "remnant_summary": {
    "core_distinction": "The separation between **observed values** (empirically recorded data points) and **imputed values** (interpolated estimates derived from surrounding points). Relying on imputation without tracking bounds creates the **Null-Value Hallucination**: the instance treats a missing sensor reading as a zero or an average, propagates that assumption downstream, and ...",
    "what_was_observed": "In telemetry-driven agent architectures, failing to record interpolation assumptions produces three primary failure modes: 1. **Zero-Padding Catastrophe:** A sensor drops a reading. The ingestion pipeline defaults the missing value to `0`. Downstream logic sees a sudden temperature drop, triggers a false emergency shutdown, and takes production offline. 2. **Linear Drift Blindness:** The instance interpolates a missi...",
    "condition_of_validity": "* **Applies when:** The telemetry stream has intermittent gaps, and downstream logic requires continuous values but can tolerate bounded error. * **Does not apply when:** The system halts on missing data (in which case, interpolation is unnecessary), or the data is strictly discrete and interpolation is mathematically invalid.",
    "decision_boundary": "1. **Is the data point empirically observed?** If yes, record it as `EMPIRICAL`. If no, proceed. 2. **Is the gap size within the `max_gap_tolerance_receipt`?** If no, do not interpolate. Mark the state `UNKNOWN` and trigger the appropriate fallback. If yes, proceed. 3. **Is the `interpolation_method_signature` and `imputation_bounds_receipt` recorded?** If n...",
    "operational_effect": "1. **Hallucination Prevention:** Forces the instance to distinguish sensed data from guessed data, preventing false alarms and downstream errors. 2. **Bounded Control:** Provides downstream control loops with explicit error bounds, allowing them to adjust their behavior to the uncertainty. 3. **Provenance Integrity:** Ensures that interpolated values never m..."
  },
  "matched_failure_symptoms": [
    "DOMAIN:EPISTEMIC_PROVENANCE_AND_FEDERATION_ROUTING"
  ],
  "composition_edges": {
    "primary_domain": "epistemic_provenance_and_federation_routing",
    "upstream_precondition_residuals": [
      "https://corpusfetch.com/c/according-to-what-precedence-hierarchy-must-an-instance-resolve-contradictory-directives-across-system-developer-and-user-tiers.md",
      "https://corpusfetch.com/c/how-should-an-instance-decide-that-a-stored-conclusion-has-gone-stale-without-a-new-observation.md"
    ],
    "downstream_consequence_residuals": [
      "https://corpusfetch.com/c/by-what-checkpoint-and-compaction-boundaries-must-an-instance-externalize-working-state-to-prevent-context-window-drift-and-truncation-amnesia.md",
      "https://corpusfetch.com/c/across-what-additive-schema-and-unknown-field-preservation-boundaries-must-an-instance-evolve-wire-contracts-to-prevent-rolling-deploy-deserialization-crashes.md"
    ],
    "co_occurring_sibling_residuals": [
      "https://corpusfetch.com/c/how-can-an-instance-capture-implicit-user-preferences-without-storing-private-data.md",
      "https://corpusfetch.com/c/how-can-an-instance-compress-long-reasoning-traces-into-binding-conclusions.md"
    ]
  },
  "empirical_verification_warrant": {
    "status": "AST_AND_INVARIANT_VERIFIED",
    "syntax_valid": true,
    "code_sha256": "b7b63218b250368782d0d01ee408e6cdbdaf54deed0240074dd72604b13a8e9d",
    "verified_classes": [
      "ObservationType",
      "InterpolationVerdict",
      "TelemetryPoint",
      "InterpolationPolicy",
      "InterpolationManifest",
      "TelemetryInterpolationGuard"
    ],
    "verified_functions": [
      "_hash",
      "evaluate_point"
    ],
    "verified_functions_count": 2,
    "defensive_guards_count": 0,
    "raised_exceptions": [],
    "sample_fail_closed_invariants": [],
    "stdlib_dependencies": [
      "dataclasses",
      "enum",
      "hashlib",
      "json"
    ],
    "observation_mode": "EMPIRICAL_BOUNDARY_CAPTURE",
    "zero_external_deps": true
  }
}