{
  "capability_id": "math.sum",
  "tool_id": "add",
  "engine": "sum",
  "calculation_version": "1.0.2",
  "generated_at": "2026-10-22T10:05:27.278Z",
  "engine_build": "2026-10-14",
  "test_count": 31,
  "passed": 31,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 24,
      "total": 24
    },
    "boundary": {
      "passed": 7,
      "total": 7
    },
    "property": {
      "passed": 0,
      "total": 0
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/math/add",
  "api": "https://www.calculatorx.com/api/v1/calc/add",
  "schema_input": "https://www.calculatorx.com/schemas/math.sum.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/math.sum.output.json",
  "assumptions": [
    "Tokens are parsed as decimal numbers; scientific notation is allowed in Sum mode only.",
    "Units are not parsed. 5 kg + 3 kg is treated as 5 + 3; the sum keeps whatever unit the inputs shared.",
    "Thousands separators are not supported. A comma in 7,890 is a value separator (7 + 890), with a non-blocking warning.",
    "Long addition pads decimal places with zeros so columns align.",
    "Plain decimal tokens are summed in base-10 (exact). Any scientific-notation token switches the list to Neumaier compensated IEEE-754 summation."
  ],
  "limitations": [
    "Missing values → MISSING_REQUIRED_INPUT",
    "Long mode requires non-negative decimals without scientific notation",
    "Too many values → TOO_MANY_VALUES"
  ],
  "boundary_conditions": [
    "Empty input returns no sum.",
    "Any invalid token stops parsing with an error.",
    "Negative values are rejected in Long addition mode.",
    "Long addition rejects scientific notation."
  ],
  "sources": [
    {
      "title": "CalculatorX mathematical conventions",
      "section": "Neumaier compensated summation for scientific-notation lists",
      "supports": "Plain decimals sum in base-10; a scientific-notation token switches the list to compensated IEEE-754 summation.",
      "kind": "definition"
    },
    {
      "title": "Margaret Stevens — The Maths Workbook (University of Oxford)",
      "section": "Chapter 1, §1: Algebraic Expressions and Fractions; §3: Equations",
      "url": "https://www.some.ox.ac.uk/wp-content/uploads/2024/08/Maths-Workbook.pdf",
      "supports": "Algebraic addition/subtraction, multiplication/division, distributive rules, equivalent fractions, common denominators and reciprocals. Ratios are interpreted as quotients. Equality of ratios with nonzero denominators permits cross multiplication, and solving a proportion uses the chapter’s equation transformations. A zero divisor is excluded; integer quotient/remainder uses the separately cited Euclidean-division reference. Mathematical reference only; not implementation validation or an endorsement of CalculatorX.",
      "kind": "reference",
      "publisher": "University of Oxford, Department of Economics; hosted by Somerville College"
    }
  ],
  "methods": [
    "Exact decimal summation for finite decimal tokens",
    "Neumaier compensated summation when scientific notation is present",
    "Place-value long addition with carrying"
  ],
  "fingerprint": "sha256:e3ac82f4c1bb576707a4d8daf7ff91087d01fa9496dfb8ffbe4bd8f5f1ff7bb0",
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 31,
      "total": 31,
      "golden": 24,
      "boundary": 7,
      "property": 0
    },
    "contract_checks": {
      "passed": 5,
      "total": 5
    }
  },
  "evidence_core_generated_at": "2026-10-14T05:05:51.930Z",
  "rendered_at": "2026-10-22T10:05:27.278Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.2",
    "artifacts": {
      "engine": "1.0.2",
      "page": "1.0.2",
      "capability": "1.0.2",
      "evidence": "1.0.2",
      "input_schema": "1.0.2",
      "output_schema": "1.0.2",
      "mcp_contract": "1.0.2"
    },
    "digests": {
      "input_schema_sha256": "bb22b7968bf29963c5e3912e6a6f9fa90f57f36d2d2830bfc206641805fc7fdb",
      "output_schema_sha256": "9ad9d0010c16804531f21dc94fea93194a027fe033a3dd265e149e96d4a0c37a",
      "evidence_sha256": "df0840f24737097a1e77b560b8448e8ce4e86235323df359fe12946fce51d1b0",
      "evidence_core_sha256": "df0840f24737097a1e77b560b8448e8ce4e86235323df359fe12946fce51d1b0",
      "capability_sha256": "dd0f26c4f81fb9d0778bed6500c30f9605ea374af9994d0c307b2f173175a91d",
      "engine_sha256": "a664ae25cd2134de7de43a99352933043215473589aec38c9416508150cb1008",
      "mcp_contract_sha256": "0777378af42b0a9a4b4cc17b30bcfaab3f7d14f3be579a90a0fe92088de78a7c"
    },
    "contract_checks": {
      "total": 5,
      "passed": 5,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.2"
        },
        {
          "id": "schema-output-required-declared",
          "status": "pass"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  },
  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
  }
}