{ "protocol": { "name": "CVP", "version": "1.0.0-proposed", "revision": "2026-09-13", "spec_sha256": "f62725968356c92930531cd6085db76e216da06e95be53d636b0d2cf3218b148", "spec": "https://www.calculatorx.com/developers/cvp/spec/1.0" }, "document_status": "proposed", "calculator": { "id": "add", "version": "1.0.2", "title": "Sum Calculator", "formula_family": "summation", "capability_id": "math.sum", "verification_revision": "2026-09-16.sources-no-wolfram" }, "profile": "core", "status": "VERIFIED", "verification_status": "VERIFIED", "production_freshness": "CURRENT", "overall_trust": "VERIFIED", "runner": { "name": "cvp-runner", "version": "1.0.0" }, "environment": { "runtime": "node", "runtime_version": "20.19.2", "numeric_model": "IEEE-754 binary64", "os": "darwin" }, "suite": { "id": "add", "version": "1.0.2", "uri": "https://www.calculatorx.com/evidence/math.sum/1.0.2.json", "verification_revision": "2026-09-16.sources-no-wolfram" }, "obligation_set": [ "CVP-PROV-01", "CVP-MODEL-01", "CVP-SCOPE-01", "CVP-UNIT-01", "CVP-REF-01", "CVP-GOLD-01", "CVP-BND-01", "CVP-INV-01", "CVP-NUM-01", "CVP-COV-01", "CVP-CONTRACT-01", "CVP-DEP-01", "CVP-ART-01", "CVP-PROD-01", "CVP-PROP-01", "CVP-META-01", "CVP-IFACE-01" ], "provenance": { "mode": "direct", "sources": [ { "label": "OpenStax Prealgebra 2e — Add Whole Numbers", "kind": "other", "reference": "1.2 Place-value addition", "url": "https://openstax.org/books/prealgebra-2e/pages/1-2-add-whole-numbers" }, { "label": "OpenStax Prealgebra 2e — Add Integers", "kind": "other", "reference": "3.2 Signed addition", "url": "https://openstax.org/books/prealgebra-2e/pages/3-2-add-integers" }, { "label": "CalculatorX mathematical conventions", "kind": "other", "reference": "Neumaier compensated summation for scientific-notation lists" } ] }, "reference": { "items": [ { "class": "O1", "reference_scope": "model", "scope": "model", "label": "Sum of a list of real numbers" }, { "class": "O2", "reference_scope": "expected_values", "scope": "expected_values", "label": "Separate-module sum oracle — independent exact-rational list sum (not IUT transcription; not shared IEEE-754 accumulation)", "engine": { "name": "sum-reference", "independent_of_iut": true, "same_runtime_as_iut": true, "runtime": "node", "numeric_model": "exact_rational_sum", "algorithms": [ "exact-rational-decimal", "exact-rational-scientific-rounded-binary64", "long-addition-domain" ], "arithmetic": "BigInt rationals (plain decimal, scientific mantissa×10^e, long domain)", "comparison": "exact_equality (sumStr) or ≤2 ULP (scientific value)" } }, { "class": "O2", "reference_scope": "numerical_behavior", "scope": "numerical_behavior", "label": "Same O2 module backs exact sumStr identity for plain/long and ≤2 ULP vs exact-rational rounded binary64 for scientific-notation lists", "engine": { "name": "sum-reference", "independent_of_iut": true, "same_runtime_as_iut": true, "runtime": "node", "numeric_model": "exact_rational_sum", "algorithms": [ "exact-rational-decimal", "exact-rational-scientific-rounded-binary64", "long-addition-domain" ], "arithmetic": "BigInt rationals (plain decimal, scientific mantissa×10^e, long domain)", "comparison": "exact_equality (sumStr) or ≤2 ULP (scientific value)" } } ], "notes": "Golden expected values use a separate O2 module (not IUT transcription). The oracle sums exact BigInt rationals (plain decimals and scientific mantissa×10^e). Plain/long goldens require sumStr identity. Scientific goldens compare IUT Neumaier value to that rational rounded to binary64 (≤2 ULP). O2 shares Node with the IUT for rounding only. O3 is not claimed this wave. mean_exact is a compatibility alias of mean_rational_exact (exact rational source), not a claim that JSON mean is exact — prefer mean_rational_exact and mean_numeric_approximate. Exact-decimal chart[] is Number(exact prefix sumStr); scientific chart[] is binary64 visualization (chart_model)." }, "controls": { "CVP-PROV-01": { "result": "PASS", "applicability": "required", "notes": "Sources present on evidence" }, "CVP-MODEL-01": { "result": "PASS", "applicability": "required", "notes": "exact decimal list sum; Neumaier for scientific-notation lists; long addition for non-negative decimals" }, "CVP-SCOPE-01": { "result": "PASS", "applicability": "required", "notes": "Declared partitions are sum-exact-decimal, sum-scientific, long-integer, long-decimal, invalid-domain — aligned with published algorithms (exact-decimal vs Neumaier) and Long addition integer/decimal work. O2 checks numeric totals; column-work strings are not an independent numerical claim." }, "CVP-UNIT-01": { "result": "PASS", "applicability": "required", "notes": "unit-agnostic (inputs should share a unit; the sum inherits it; units are not parsed)" }, "CVP-REF-01": { "result": "PASS", "applicability": "required", "notes": "O1 model + O2 expected_values / numerical_behavior (exact rationals; Node used only to round scientific sums to binary64)" }, "CVP-GOLD-01": { "result": "PASS", "applicability": "required", "notes": "24/24 legacy golden; 10/10 oracle-backed numeric" }, "CVP-BND-01": { "result": "PASS", "applicability": "required", "notes": "6/6 CVP boundary · 7/7 legacy Evidence boundary" }, "CVP-INV-01": { "result": "PASS", "applicability": "required", "notes": "6 Evidence illegal-input + 3/3 oracle-backed error-code (exact_error_match, not ULP)" }, "CVP-NUM-01": { "result": "PASS", "applicability": "required", "notes": "Plain-decimal and long-addition goldens: exact sumStr identity vs independent BigInt rationals. Scientific-notation goldens: ≤2 ULP on value vs the same exact rational rounded to binary64. Tabulated vectors only — not a whole-domain ≤2 ULP guarantee, including unlisted cancellation or mixed-format lists. Legacy Evidence `tol` is not this policy." }, "CVP-COV-01": { "result": "PASS", "applicability": "required", "notes": "5/5 declared partitions (sum-exact-decimal, sum-scientific, long-integer, long-decimal, invalid-domain) · 24 legacy golden / 6 CVP boundary unique cases · 6 Evidence invalid-input (may overlap boundary)" }, "CVP-CONTRACT-01": { "result": "PASS", "applicability": "required", "notes": "3/3 CVP contract" }, "CVP-DEP-01": { "result": "PASS", "applicability": "required", "notes": "engine sum; Node binary64" }, "CVP-ART-01": { "result": "PASS", "applicability": "required", "notes": "release_integrity.status=verified · digests: artifact_evidence_sha256=Evidence core (Trust freshness) · cvp_evidence_digest=artifacts.evidence_digest (fingerprint v2) · evidence_bundle_sha256=legacy Evidence JSON bytes · evidence_catalog_digest=attested_catalog_sha256 · production_sha256=bound production report · see artifacts.digest_registry" }, "CVP-PROD-01": { "result": "PASS", "applicability": "required", "notes": "this calculator CURRENT · bound snapshot pass @ 2026-09-16T06:43:50.908Z · live site-wide report stale @ 2026-09-16T06:44:04.926Z (4 other capabilities) · local checks pass · attestation_id=9864b02dd59e627629179439ae27934aea8c6fd24193702e66c56019c5e3e050 · This calculator CURRENT · This calculator is not affected · Bound attestation PASS @ 2026-09-16T06:43:50.908Z · Live production status STALE (4 capabilities; 160 remain CURRENT) @ 2026-09-16T06:44:04.926Z · Public schema 1.0.2 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓ · schema_const=1.0.2 · report output-const=pass · evidence-sha256=pass · semantic-contract=pass · capability-html-public-origin-agree=pass · cvp-manifest-public-origin-agree=pass · cvp-latest-alias-agrees=pass · cvp-immutable-manifest-fetch=pass · cvp-immutable-manifest-sha256=pass · cvp-latest-alias-matches-immutable=pass · calculator-html-cvp-projection=pass · evidence-html-cvp-projection=pass · attested_evidence_sha256=31e075dd2788e7c13520557df716a4e118f4844aca3908f8b06acf4a41fad0cc · verified_at=2026-09-16T06:43:07.596Z · evidence_attested_at=2026-09-16T06:43:07.596Z · last_confirmed_current_at=2026-09-16T06:43:50.908Z · rendered_at=2026-09-16T06:44:04.967Z · binds=cvp_core_sha256", "check_result": "PASS", "production_state": "CURRENT", "binding_current": true }, "CVP-DIM-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "Unit-agnostic core calculator — units are not parsed; no physical dimension algebra" }, "CVP-PROP-01": { "result": "PASS", "applicability": "applicable", "notes": "3/3 property" }, "CVP-META-01": { "result": "PASS", "applicability": "applicable", "notes": "1/1 metamorphic" }, "CVP-ROUND-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No inverse / round-trip vectors in pack — control not in obligation set" }, "CVP-XCAL-01": { "result": "SKIP", "applicability": "not_applicable", "notes": "No related calculator in the same formula family / no related-identity peers declared — control not in obligation set" }, "CVP-IFACE-01": { "result": "PASS", "applicability": "applicable", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "CVP-ORACLE-01": { "result": "SKIP", "applicability": "higher_assurance", "notes": "O2 present; O3 not required this wave" }, "CVP-EXP-01": { "result": "SKIP", "applicability": "optional", "notes": "named expert review not performed" } }, "tests": { "golden": { "passed": 10, "total": 10, "failed": 0, "case_ids": [ "g-sum-123", "g-sum-0p1-0p2", "g-sum-mixed-mean", "g-sum-cancel", "g-sum-sci", "g-sum-sci-tiny", "g-sum-sci-cancel", "g-sum-sci-mixed", "g-long-int", "g-long-dec" ] }, "boundary": { "passed": 6, "total": 6, "failed": 0, "case_ids": [ "thousands-separator-warning", "empty", "invalid-token", "long-negative", "long-scientific", "boundary-sum-missing" ] }, "invalid": { "passed": 9, "total": 9, "failed": 0, "case_ids": [ "empty", "invalid-token", "long-negative", "long-scientific", "invalid-mode", "boundary-sum-missing", "g-inv-missing", "g-inv-long-neg", "g-inv-long-sci" ], "comparison": "exact_error_match", "records": [ { "id": "g-inv-missing", "comparison": "exact_error_match", "expected": { "code": "MISSING_REQUIRED_INPUT" }, "actual": { "code": "MISSING_REQUIRED_INPUT" }, "match": true }, { "id": "g-inv-long-neg", "comparison": "exact_error_match", "expected": { "code": "VALUE_MUST_BE_NON_NEGATIVE" }, "actual": { "code": "VALUE_MUST_BE_NON_NEGATIVE" }, "match": true }, { "id": "g-inv-long-sci", "comparison": "exact_error_match", "expected": { "code": "UNSUPPORTED_FORMAT" }, "actual": { "code": "UNSUPPORTED_FORMAT" }, "match": true } ] }, "property": { "passed": 3, "total": 3, "failed": 0, "case_ids": [ "prop-zero", "prop-assoc", "prop-exact-0p1-0p2" ], "definition_ids": [ "empty-not-here", "order-insensitive", "exact-decimal-sumStr" ] }, "round_trip": { "passed": 0, "total": 0, "failed": 0, "case_ids": [] }, "metamorphic": { "passed": 1, "total": 1, "failed": 0, "case_ids": [ "meta-scale" ], "definition_ids": [ "scale-all" ] }, "contract": { "passed": 3, "total": 3, "failed": 0 }, "cross_interface": { "passed": 6, "total": 6, "failed": 0, "case_ids": [ "iface-sum", "iface-0p1-0p2", "iface-sci", "iface-long", "iface-long-dec", "iface-err-long-neg" ] } }, "coverage": { "partitions": [ { "id": "sum-exact-decimal", "description": "Sum mode, plain decimals — exact base-10 addition (no scientific notation)", "exercised": true, "case_count": 25 }, { "id": "sum-scientific", "description": "Sum mode with a scientific-notation token — Neumaier compensated IEEE-754", "exercised": true, "case_count": 8 }, { "id": "long-integer", "description": "Long addition of non-negative integers (no decimal point)", "exercised": true, "case_count": 3 }, { "id": "long-decimal", "description": "Long addition of non-negative decimals (place-value columns)", "exercised": true, "case_count": 3 }, { "id": "invalid-domain", "description": "Missing values, invalid tokens, long-mode negatives / scientific notation, invalid mode", "exercised": true, "case_count": 9 } ] }, "numerical": { "representation": "exact decimal-string identity (plain/long); IEEE-754 binary64 vs exact-rational sum (scientific-notation lists)", "tolerance": { "type": "ulp", "value": 2, "rationale": "Scientific-notation lists: ≤2 ULP on value vs independent exact-rational sum rounded to binary64. Plain decimal and long addition use exact sumStr identity (ULP not applicable). Declared a priori.", "declared_before_evaluation": true }, "claim_scope": "Plain-decimal and long-addition goldens: exact sumStr identity vs independent BigInt rationals. Scientific-notation goldens: ≤2 ULP on value vs the same exact rational rounded to binary64. Tabulated vectors only — not a whole-domain ≤2 ULP guarantee, including unlisted cancellation or mixed-format lists.", "max_error_observed": 1, "records": [ { "id": "g-sum-123", "reference": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "value": 6, "sum": 6, "sumStr": "6", "exact": "6" }, "actual": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "values": [ 1, 2, 3 ], "tokens": [ "1", "2", "3" ], "sum": 6, "value": 6, "sumStr": "6", "mean": 2, "mean_exact": true, "mean_rational_exact": true, "mean_numeric_approximate": false, "mean_num": "6", "mean_den": "3", "mean_display": "2", "mean_approx": false, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 3 · Mean 2", "inputs_summary": "1 + 2 + 3", "display": { "value": "6", "sum": "6", "mean": "2" }, "work": null, "chart": [ 1, 3, 6 ], "chart_model": "exact-decimal", "calculation_version": "1.0.2", "warnings": [] }, "criterion": "actual sumStr === independent exact-rational decimal string (plain decimal and long addition)", "match": true, "digits": 1, "reference_sha256": "e7f6c011776e8db7cd330b54174fd76f7d0216b612387a5ffcfb81e6f0919683", "actual_sha256": "e7f6c011776e8db7cd330b54174fd76f7d0216b612387a5ffcfb81e6f0919683", "fields": { "sumStr": { "ok": true, "match": true } }, "suite": "golden" }, { "id": "g-sum-0p1-0p2", "reference": { "mode": "sum", "algorithm": "exact-decimal", "count": 2, "value": 0.3, "sum": 0.3, "sumStr": "0.3", "exact": "0.3" }, "actual": { "mode": "sum", "algorithm": "exact-decimal", "count": 2, "values": [ 0.1, 0.2 ], "tokens": [ "0.1", "0.2" ], "sum": 0.3, "value": 0.3, "sumStr": "0.3", "mean": 0.15, "mean_exact": true, "mean_rational_exact": true, "mean_numeric_approximate": false, "mean_num": "3", "mean_den": "20", "mean_display": "0.15", "mean_approx": false, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 2 · Mean 0.15", "inputs_summary": "0.1 + 0.2", "display": { "value": "0.3", "sum": "0.3", "mean": "0.15" }, "work": null, "chart": [ 0.1, 0.3 ], "chart_model": "exact-decimal", "calculation_version": "1.0.2", "warnings": [] }, "criterion": "actual sumStr === independent exact-rational decimal string (plain decimal and long addition)", "match": true, "digits": 3, "reference_sha256": "221764976efe04132774d96b0253cc31434c5261737469324f222621baf34b20", "actual_sha256": "221764976efe04132774d96b0253cc31434c5261737469324f222621baf34b20", "fields": { "sumStr": { "ok": true, "match": true } }, "suite": "golden" }, { "id": "g-sum-mixed-mean", "reference": { "mode": "sum", "algorithm": "exact-decimal", "count": 9, "value": 256.25, "sum": 256.25, "sumStr": "256.25", "exact": "256.25" }, "actual": { "mode": "sum", "algorithm": "exact-decimal", "count": 9, "values": [ -66.25, -37.5, 40, 42, 47, 53, 54, 59, 65 ], "tokens": [ "-66.25", "-37.5", "40", "42", "47", "53", "54", "59", "65" ], "sum": 256.25, "value": 256.25, "sumStr": "256.25", "mean": 28.47222222222222, "mean_exact": true, "mean_rational_exact": true, "mean_numeric_approximate": true, "mean_num": "25625", "mean_den": "900", "mean_display": "28.4722", "mean_approx": true, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 9 · Mean ≈ 28.4722", "inputs_summary": "−66.25 + (−37.5) + 40 + 42 + 47 + 53 + 54 + 59 + 65", "display": { "value": "256.25", "sum": "256.25", "mean": "28.4722" }, "work": null, "chart": [ -66.25, -103.75, -63.75, -21.75, 25.25, 78.25, 132.25, 191.25, 256.25 ], "chart_model": "exact-decimal", "calculation_version": "1.0.2", "warnings": [] }, "criterion": "actual sumStr === independent exact-rational decimal string (plain decimal and long addition)", "match": true, "digits": 6, "reference_sha256": "86ba482681af9886df7d3619ab31c274f757764c4785a6588b713e0408308df9", "actual_sha256": "86ba482681af9886df7d3619ab31c274f757764c4785a6588b713e0408308df9", "fields": { "sumStr": { "ok": true, "match": true } }, "suite": "golden" }, { "id": "g-sum-cancel", "reference": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "value": 1, "sum": 1, "sumStr": "1", "exact": "1" }, "actual": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "values": [ 10000000000000000, 1, -10000000000000000 ], "tokens": [ "10000000000000000", "1", "-10000000000000000" ], "sum": 1, "value": 1, "sumStr": "1", "mean": 0.3333333333333333, "mean_exact": true, "mean_rational_exact": true, "mean_numeric_approximate": true, "mean_num": "1", "mean_den": "3", "mean_display": "0.3333", "mean_approx": true, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 3 · Mean ≈ 0.3333", "inputs_summary": "10000000000000000 + 1 + (−10000000000000000)", "display": { "value": "1", "sum": "1", "mean": "0.3333" }, "work": null, "chart": [ 10000000000000000, 10000000000000000, 1 ], "chart_model": "exact-decimal", "calculation_version": "1.0.2", "warnings": [] }, "criterion": "actual sumStr === independent exact-rational decimal string (plain decimal and long addition)", "match": true, "digits": 1, "reference_sha256": "6b86b273ff34fce19d6b804eff5a3f5747ada4eaa22f1d49c01e52ddb7875b4b", "actual_sha256": "6b86b273ff34fce19d6b804eff5a3f5747ada4eaa22f1d49c01e52ddb7875b4b", "fields": { "sumStr": { "ok": true, "match": true } }, "suite": "golden" }, { "id": "g-sum-sci", "reference": { "mode": "sum", "algorithm": "neumaier", "count": 2, "value": 3000, "sum": 3000, "exact_num": "3000", "exact_den": "1" }, "actual": { "mode": "sum", "algorithm": "neumaier", "count": 2, "values": [ 1000, 2000 ], "tokens": [ "1e3", "2e3" ], "sum": 3000, "value": 3000, "sumStr": "3000", "mean": 1500, "mean_exact": false, "mean_rational_exact": false, "mean_numeric_approximate": true, "mean_num": null, "mean_den": null, "mean_display": "1500", "mean_approx": false, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 2 · Mean 1500", "inputs_summary": "1e3 + 2e3", "display": { "value": "3000", "sum": "3000", "mean": "1500" }, "work": null, "chart": [ 1000, 3000 ], "chart_model": "binary64", "calculation_version": "1.0.2", "warnings": [] }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "value": { "ok": true, "error_ulp": 0 } }, "suite": "golden" }, { "id": "g-sum-sci-tiny", "reference": { "mode": "sum", "algorithm": "neumaier", "count": 2, "value": 3e-12, "sum": 3e-12, "exact_num": "3", "exact_den": "1000000000000" }, "actual": { "mode": "sum", "algorithm": "neumaier", "count": 2, "values": [ 1e-12, 2e-12 ], "tokens": [ "1e-12", "2e-12" ], "sum": 3e-12, "value": 3e-12, "sumStr": "3e-12", "mean": 1.5e-12, "mean_exact": false, "mean_rational_exact": false, "mean_numeric_approximate": true, "mean_num": null, "mean_den": null, "mean_display": "1.5e-12", "mean_approx": true, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 2 · Mean ≈ 1.5e−12", "inputs_summary": "1e−12 + 2e−12", "display": { "value": "3e-12", "sum": "3e-12", "mean": "1.5e-12" }, "work": null, "chart": [ 1e-12, 3e-12 ], "chart_model": "binary64", "calculation_version": "1.0.2", "warnings": [] }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "value": { "ok": true, "error_ulp": 0 } }, "suite": "golden" }, { "id": "g-sum-sci-cancel", "reference": { "mode": "sum", "algorithm": "neumaier", "count": 3, "value": 1, "sum": 1, "exact_num": "1", "exact_den": "1" }, "actual": { "mode": "sum", "algorithm": "neumaier", "count": 3, "values": [ 10000000000000000, 1, -10000000000000000 ], "tokens": [ "1e16", "1", "-1e16" ], "sum": 1, "value": 1, "sumStr": "1", "mean": 0.3333333333333333, "mean_exact": false, "mean_rational_exact": false, "mean_numeric_approximate": true, "mean_num": null, "mean_den": null, "mean_display": "0.3333", "mean_approx": true, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 3 · Mean ≈ 0.3333", "inputs_summary": "1e16 + 1 + (−1e16)", "display": { "value": "1", "sum": "1", "mean": "0.3333" }, "work": null, "chart": [ 10000000000000000, 10000000000000000, 1 ], "chart_model": "binary64", "calculation_version": "1.0.2", "warnings": [] }, "error_ulp": 0, "threshold_ulp": 2, "fields": { "value": { "ok": true, "error_ulp": 0 } }, "suite": "golden" }, { "id": "g-sum-sci-mixed", "reference": { "mode": "sum", "algorithm": "neumaier", "count": 2, "value": 0.3, "sum": 0.3, "exact_num": "3", "exact_den": "10" }, "actual": { "mode": "sum", "algorithm": "neumaier", "count": 2, "values": [ 0.1, 0.2 ], "tokens": [ "1e-1", "0.2" ], "sum": 0.30000000000000004, "value": 0.30000000000000004, "sumStr": "0.3", "mean": 0.15000000000000002, "mean_exact": false, "mean_rational_exact": false, "mean_numeric_approximate": true, "mean_num": null, "mean_den": null, "mean_display": "0.15", "mean_approx": false, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 2 · Mean 0.15", "inputs_summary": "1e−1 + 0.2", "display": { "value": "0.3", "sum": "0.3", "mean": "0.15" }, "work": null, "chart": [ 0.1, 0.30000000000000004 ], "chart_model": "binary64", "calculation_version": "1.0.2", "warnings": [] }, "error_ulp": 1, "threshold_ulp": 2, "fields": { "value": { "ok": true, "error_ulp": 1 } }, "suite": "golden" }, { "id": "g-long-int", "reference": { "mode": "long", "algorithm": "long-addition", "count": 3, "value": 3314, "sum": 3314, "sumStr": "3314", "exact": "3314" }, "actual": { "mode": "long", "algorithm": "long-addition", "count": 3, "values": [ 937, 129, 2248 ], "tokens": [ "937", "129", "2248" ], "sum": 3314, "value": 3314, "sumStr": "3314", "mean": 1104.6666666666667, "mean_exact": false, "mean_rational_exact": false, "mean_numeric_approximate": true, "formula": "column addition with carry", "heading": "Total", "mode_label": "Long addition", "explainer": "Added 3 numbers with long addition (place-value columns).", "inputs_summary": "937 + 129 + 2248", "display": { "value": "3314", "sum": "3314" }, "work": "Long addition (align place values, add right → left):\n\n 937\n 129\n+ 2248\n ----\n 3314\n\nColumn work:\n thousands: 1 + 0 + 0 + 2 = 3 → write 3\n hundreds: 1 + 9 + 1 + 2 = 13 → write 3, carry 1\n tens: 2 + 3 + 2 + 4 = 11 → write 1, carry 1\n ones: 7 + 9 + 8 = 24 → write 4, carry 2", "chart": null, "calculation_version": "1.0.2", "warnings": [] }, "criterion": "actual sumStr === independent exact-rational decimal string (plain decimal and long addition)", "match": true, "digits": 4, "reference_sha256": "ac99164821bdc97550cd5d0148199855aac84cebe5e4b62b265e81859bdb27c3", "actual_sha256": "ac99164821bdc97550cd5d0148199855aac84cebe5e4b62b265e81859bdb27c3", "fields": { "sumStr": { "ok": true, "match": true } }, "suite": "golden" }, { "id": "g-long-dec", "reference": { "mode": "long", "algorithm": "long-addition", "count": 3, "value": 215.063, "sum": 215.063, "sumStr": "215.063", "exact": "215.063" }, "actual": { "mode": "long", "algorithm": "long-addition", "count": 3, "values": [ 37.5, 129.44, 48.123 ], "tokens": [ "37.5", "129.44", "48.123" ], "sum": 215.063, "value": 215.063, "sumStr": "215.063", "mean": 71.68766666666666, "mean_exact": false, "mean_rational_exact": false, "mean_numeric_approximate": true, "formula": "column addition with carry", "heading": "Total", "mode_label": "Long addition", "explainer": "Added 3 numbers with long addition (place-value columns).", "inputs_summary": "37.5 + 129.44 + 48.123", "display": { "value": "215.063", "sum": "215.063" }, "work": "Long addition (align place values, add right → left):\n\n 37.500\n 129.440\n+ 48.123\n -------\n 215.063\n\nColumn work:\n hundreds: 1 + 0 + 1 + 0 = 2 → write 2\n tens: 2 + 3 + 2 + 4 = 11 → write 1, carry 1\n ones: 1 + 7 + 9 + 8 = 25 → write 5, carry 2\n 10^−1: 5 + 4 + 1 = 10 → write 0, carry 1\n 10^−2: 0 + 4 + 2 = 6 → write 6\n 10^−3: 0 + 0 + 3 = 3 → write 3", "chart": null, "calculation_version": "1.0.2", "warnings": [] }, "criterion": "actual sumStr === independent exact-rational decimal string (plain decimal and long addition)", "match": true, "digits": 7, "reference_sha256": "a44380898aa6f0296ea739efafa5c09aef1a12c1f29ec03395b54874171eb72f", "actual_sha256": "a44380898aa6f0296ea739efafa5c09aef1a12c1f29ec03395b54874171eb72f", "fields": { "sumStr": { "ok": true, "match": true } }, "suite": "golden" }, { "id": "meta-scale", "reference": 2, "actual": 2, "error_ulp": 0, "threshold_ulp": 2, "suite": "metamorphic", "hops": { "base": { "reference": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "value": 6, "sum": 6, "sumStr": "6", "exact": "6" }, "actual": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "values": [ 1, 2, 3 ], "tokens": [ "1", "2", "3" ], "sum": 6, "value": 6, "sumStr": "6", "mean": 2, "mean_exact": true, "mean_rational_exact": true, "mean_numeric_approximate": false, "mean_num": "6", "mean_den": "3", "mean_display": "2", "mean_approx": false, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 3 · Mean 2", "inputs_summary": "1 + 2 + 3", "display": { "value": "6", "sum": "6", "mean": "2" }, "work": null, "chart": [ 1, 3, 6 ], "chart_model": "exact-decimal", "calculation_version": "1.0.2", "warnings": [] }, "error_ulp": 0 }, "follow": { "reference": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "value": 12, "sum": 12, "sumStr": "12", "exact": "12" }, "actual": { "mode": "sum", "algorithm": "exact-decimal", "count": 3, "values": [ 2, 4, 6 ], "tokens": [ "2", "4", "6" ], "sum": 12, "value": 12, "sumStr": "12", "mean": 4, "mean_exact": true, "mean_rational_exact": true, "mean_numeric_approximate": false, "mean_num": "12", "mean_den": "3", "mean_display": "4", "mean_approx": false, "formula": "Σ xᵢ", "heading": "Sum", "mode_label": "Sum", "explainer": "Count 3 · Mean 4", "inputs_summary": "2 + 4 + 6", "display": { "value": "12", "sum": "12", "mean": "4" }, "work": null, "chart": [ 2, 6, 12 ], "chart_model": "exact-decimal", "calculation_version": "1.0.2", "warnings": [] }, "error_ulp": 0 }, "relation": { "reference": 2, "actual": 2, "error_ulp": 0 } } } ] }, "interfaces": { "compared": [ "ui-ssr", "rest", "mcp" ], "result": "PASS", "notes": "UI (SSR) · REST · MCP equivalent (MCP uses calc API handler). ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only." }, "artifacts": { "evidence_bundle_sha256": "3c8f47bfa745141ee163de3a0e74ea301def669eb50c89932c77f7fb193cb2a2", "evidence_digest": "a295d54714a48c041cbadca14376bf1c079a84dc528c44869816c1b57c329c1f", "production_sha256": "31e075dd2788e7c13520557df716a4e118f4844aca3908f8b06acf4a41fad0cc", "attested_catalog_sha256": "f89399c8dda78af9b2d784bf34d77b786cf749392d54e5e00bd3707c3fcdd13e", "production_checks": [ { "id": "math.sum:output-const", "status": "pass", "detail": "output const 1.0.2 vs capability 1.0.2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:evidence-sha256", "status": "pass", "detail": "42b19eb5b573", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:semantic-contract", "status": "pass", "detail": "31/31", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:capability-html-public-origin-agree", "status": "pass", "detail": "public 1.0.2 vs origin 1.0.2", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:cvp-manifest-public-origin-agree", "status": "pass", "detail": "math.sum/1.0.2/2026-09-16.sources-no-wolfram/core/a295d54714a4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z", "projection_compared": false }, { "id": "math.sum:cvp-latest-alias-agrees", "status": "pass", "detail": "math.sum/1.0.2/2026-09-16.sources-no-wolfram/core/a295d54714a4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z", "projection_compared": false }, { "id": "math.sum:cvp-immutable-manifest-fetch", "status": "pass", "detail": "public=200 origin=200", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:cvp-immutable-manifest-sha256", "status": "pass", "detail": "a295d54714a4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:cvp-latest-alias-matches-immutable", "status": "pass", "detail": "math.sum/1.0.2/2026-09-16.sources-no-wolfram/core/a295d54714a4", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z", "projection_compared": false }, { "id": "math.sum:calculator-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" }, { "id": "math.sum:evidence-html-cvp-projection", "status": "pass", "detail": "matches Trust display", "scope": "last_attestation_snapshot", "current": true, "attestation_binding_current": true, "attested_at": "2026-09-16T06:43:07.596Z" } ], "digest_registry": { "digest_algorithm": "sha256", "canonicalization": "json-sorted-keys-utf8", "entries": [ { "name": "cvp_core_sha256", "field": "artifacts.cvp_core_sha256", "digest_scope": "cvp_verification_fingerprint_v2", "value": "a295d54714a48c041cbadca14376bf1c079a84dc528c44869816c1b57c329c1f", "note": "Immutable verification core; excludes attestation/live-status and Evidence contract counts" }, { "name": "cvp_evidence_digest", "field": "artifacts.evidence_digest", "digest_scope": "cvp_verification_fingerprint_v2", "value": "a295d54714a48c041cbadca14376bf1c079a84dc528c44869816c1b57c329c1f", "note": "Alias of cvp_core_sha256 (historical field name)" }, { "name": "artifact_evidence_sha256", "field": "release_integrity.digests.evidence_core_sha256", "digest_scope": "evidence_artifact_core", "value": "42b19eb5b57350e467933f57ae4fddd60b536ecb948f0f8f79719f1eb08de3cb", "note": "Published Evidence JSON core — Trust freshness / production bind subject" }, { "name": "evidence_catalog_digest", "field": "artifacts.attested_catalog_sha256", "digest_scope": "capability_catalog", "value": "f89399c8dda78af9b2d784bf34d77b786cf749392d54e5e00bd3707c3fcdd13e", "note": "Capability catalog integrity; site-wide, not per-suite fingerprint" } ] }, "cvp_core_sha256": "a295d54714a48c041cbadca14376bf1c079a84dc528c44869816c1b57c329c1f" }, "dependencies": [ { "name": "sum-engine", "version": "1.0.2" }, { "name": "sum-reference-oracle", "version": "1.0.0" }, { "name": "node", "version": "20.19.2" } ], "attestation": { "status": "CURRENT", "href": "/.well-known/calculatorx-production-attestation.json", "id": "9864b02dd59e627629179439ae27934aea8c6fd24193702e66c56019c5e3e050", "attested_at": "2026-09-16T06:43:07.596Z", "last_confirmed_current_at": "2026-09-16T06:43:50.908Z", "site_attestation_current": false, "capability_attestation_current": true, "bound_snapshot_status": "pass", "live_report_status": "stale", "bound_attested_at": "2026-09-16T06:43:50.908Z", "live_updated_at": "2026-09-16T06:44:04.926Z", "bound_snapshot": { "status": "pass", "attested_at": "2026-09-16T06:43:50.908Z", "site_stale_count": 4 }, "live_site_status": { "href": "/.well-known/calculatorx-production-attestation.json" }, "bound_snapshot_site_stale_count": 4, "site_stale_capability_count": 4, "evidence_attested_at": "2026-09-16T06:43:07.596Z" }, "domain_review": { "status": "ABSENT", "spec_version": "1.0.2", "external_third_party": false, "note": "Named expert review not performed" }, "timestamps": { "verified_at": "2026-09-16T06:43:07.596Z", "generated_at": "2026-09-16T06:43:07.596Z", "rendered_at": "2026-09-16T06:44:04.967Z", "notes": "verified_at/generated_at mark the first publication of this cvp_core_sha256 (artifacts.evidence_digest alias) for suite verification. evidence_attested_at/attested_at is the first production bind of that core digest. last_confirmed_current_at is the latest site-wide report that still confirms CURRENT. rendered_at is this JSON serialization and is not part of cvp_core_sha256 / evidence_digest. Production attestation binds cvp_core_sha256 (binds evidence_digest). Causal order: verified_at ≤ evidence_attested_at ≤ last_confirmed_current_at. attestation.bound_snapshot.site_stale_count is the site-wide stale capability count at Manifest bind time — not a live value. Fetch attestation.live_site_status.href for the current site report." }, "links": { "legacy_evidence": "https://www.calculatorx.com/evidence/math.sum/1.0.2.json", "evidence_page": "https://www.calculatorx.com/evidence/math.sum/1.0.2", "calculator": "https://www.calculatorx.com/calc/math/add", "schema": "https://www.calculatorx.com/developers/cvp/schema/cvp-evidence-1.0.json", "protocol": "https://www.calculatorx.com/developers/cvp/spec/1.0", "manifest": "https://www.calculatorx.com/evidence/math.sum/1.0.2.cvp.json", "manifest_immutable": "https://www.calculatorx.com/evidence/math.sum/1.0.2/2026-09-16.sources-no-wolfram.cvp.json", "manifest_core": "https://www.calculatorx.com/evidence/math.sum/1.0.2/2026-09-16.sources-no-wolfram.a295d54714a4.cvp.json" } }