{
  "schema": "semiagora.sram-variation-corner-coverage.v1",
  "version": "2026-09-03-v128",
  "workUnitId": "SA-MEM-SRAM-VARIATION-COVERAGE-060",
  "productContractSha256": "293D9F25559BF4F9B61CF442BC61D71381D3E6F273EB152339D4171765E992C0",
  "title": "SRAM Variation And Corner Coverage Lab",
  "proposition": "Separate what moved from what was missing.",
  "userOutcome": "Separate fixed condition, lot, wafer, across-wafer spatial, local mismatch, measurement noise, and missingness effects before interpreting an SRAM proxy distribution or corner table.",
  "evidenceClass": "illustrative-original-surrogate",
  "routes": [
    "/learn/sram-variation-and-corners",
    "/simulations/sram-variation-corner-coverage",
    "/labs/sram-variation-corner-coverage"
  ],
  "defaultInput": {
    "seed": 128031,
    "lotSigmaZ": 0.055,
    "waferSigmaZ": 0.045,
    "spatialSigmaZ": 0.035,
    "localSigmaZ": 0.085,
    "noiseSigmaMv": 1.2,
    "missingPairRate": 0,
    "missingReplicateRate": 0
  },
  "presets": [
    {
      "id": "default",
      "label": "Balanced default",
      "input": {
        "seed": 128031,
        "lotSigmaZ": 0.055,
        "waferSigmaZ": 0.045,
        "spatialSigmaZ": 0.035,
        "localSigmaZ": 0.085,
        "noiseSigmaMv": 1.2,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    },
    {
      "id": "lotDominant",
      "label": "Lot dominant",
      "input": {
        "seed": 128101,
        "lotSigmaZ": 0.16,
        "waferSigmaZ": 0.018,
        "spatialSigmaZ": 0.018,
        "localSigmaZ": 0.025,
        "noiseSigmaMv": 0.35,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    },
    {
      "id": "waferDominant",
      "label": "Wafer dominant",
      "input": {
        "seed": 128102,
        "lotSigmaZ": 0.018,
        "waferSigmaZ": 0.16,
        "spatialSigmaZ": 0.018,
        "localSigmaZ": 0.025,
        "noiseSigmaMv": 0.35,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    },
    {
      "id": "spatialDominant",
      "label": "Spatial dominant",
      "input": {
        "seed": 128103,
        "lotSigmaZ": 0.018,
        "waferSigmaZ": 0.018,
        "spatialSigmaZ": 0.16,
        "localSigmaZ": 0.025,
        "noiseSigmaMv": 0.35,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    },
    {
      "id": "localDominant",
      "label": "Local mismatch dominant",
      "input": {
        "seed": 128104,
        "lotSigmaZ": 0.018,
        "waferSigmaZ": 0.018,
        "spatialSigmaZ": 0.018,
        "localSigmaZ": 0.18,
        "noiseSigmaMv": 0.35,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    },
    {
      "id": "noiseDominant",
      "label": "Measurement noise dominant",
      "input": {
        "seed": 128105,
        "lotSigmaZ": 0.008,
        "waferSigmaZ": 0.008,
        "spatialSigmaZ": 0.008,
        "localSigmaZ": 0.012,
        "noiseSigmaMv": 7,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    },
    {
      "id": "controlledMissingness",
      "label": "Controlled missingness",
      "input": {
        "seed": 128106,
        "lotSigmaZ": 0.055,
        "waferSigmaZ": 0.045,
        "spatialSigmaZ": 0.035,
        "localSigmaZ": 0.085,
        "noiseSigmaMv": 1.2,
        "missingPairRate": 0.12,
        "missingReplicateRate": 0.18
      }
    },
    {
      "id": "fixedConditionsOnly",
      "label": "Fixed conditions only",
      "input": {
        "seed": 128107,
        "lotSigmaZ": 0,
        "waferSigmaZ": 0,
        "spatialSigmaZ": 0,
        "localSigmaZ": 0,
        "noiseSigmaMv": 0,
        "missingPairRate": 0,
        "missingReplicateRate": 0
      }
    }
  ],
  "conditions": [
    {
      "id": "nominal",
      "label": "Nominal reference",
      "roleOffsets": {
        "pd": 0,
        "pg": 0,
        "pu": 0
      },
      "sigmaMapping": null,
      "metricShiftsMv": {
        "readMarginMv": 0,
        "writeMarginMv": 0,
        "inverterSkewMv": 0
      }
    },
    {
      "id": "read-stress",
      "label": "Read-stress direction",
      "roleOffsets": {
        "pd": -0.3,
        "pg": 0.3,
        "pu": 0
      },
      "sigmaMapping": null,
      "metricShiftsMv": {
        "readMarginMv": -10.8,
        "writeMarginMv": 6,
        "inverterSkewMv": -4.5
      }
    },
    {
      "id": "write-stress",
      "label": "Write-stress direction",
      "roleOffsets": {
        "pd": 0,
        "pg": -0.3,
        "pu": 0.3
      },
      "sigmaMapping": null,
      "metricShiftsMv": {
        "readMarginMv": 5.4,
        "writeMarginMv": -12,
        "inverterSkewMv": -4.5
      }
    },
    {
      "id": "skew-stress",
      "label": "Inverter-skew direction",
      "roleOffsets": {
        "pd": 0.3,
        "pg": 0,
        "pu": -0.3
      },
      "sigmaMapping": null,
      "metricShiftsMv": {
        "readMarginMv": 5.4,
        "writeMarginMv": 6,
        "inverterSkewMv": 9
      }
    }
  ],
  "hierarchy": {
    "conditions": 4,
    "conditionKind": "fixed synthetic directions",
    "lots": 4,
    "wafersPerLot": 3,
    "sitesPerWafer": 25,
    "siteGrid": "5 by 5 normalized x/y coordinates",
    "replicates": 2,
    "cells": 300,
    "cellConditions": 1200,
    "observations": 2400,
    "nesting": "condition crossed with cell; wafer nested in lot; site nested in wafer; replicate nested in cell-condition"
  },
  "inputRanges": {
    "seed": {
      "min": 1,
      "max": 999999,
      "integer": true
    },
    "lotSigmaZ": {
      "min": 0,
      "max": 0.25
    },
    "waferSigmaZ": {
      "min": 0,
      "max": 0.25
    },
    "spatialSigmaZ": {
      "min": 0,
      "max": 0.25
    },
    "localSigmaZ": {
      "min": 0,
      "max": 0.25
    },
    "noiseSigmaMv": {
      "min": 0,
      "max": 8
    },
    "missingPairRate": {
      "min": 0,
      "max": 0.35
    },
    "missingReplicateRate": {
      "min": 0,
      "max": 0.35
    }
  },
  "synthesis": {
    "prng": "FNV-1a label mixing plus Mulberry32",
    "normalTransform": "Box-Muller",
    "lot": "one standardized role vector across four lots, shared by descendants",
    "wafer": "one standardized role vector across three wafers within each lot",
    "spatial": "standardized linear x, y, and centered-radial field per wafer and role",
    "localMismatch": "site-level normal vector centered and orthogonalized to the wafer spatial field",
    "measurementNoise": "metric-level paired opposite-sign replicate noise with globally normalized RMS",
    "missingPair": "deterministic cell-condition removal keyed separately from value generation",
    "missingReplicate": "deterministic replicate removal keyed separately from pair removal",
    "datasetDigest": "SHA-256 of explicit UTF-8 semiagora.sram-variation-dataset-digest.v1 bytes with fixed-decimal-10 inputs, values, and truth components"
  },
  "analysisViews": [
    {
      "id": "conditionMatched",
      "unit": "valid replicate observations for one selected condition, restricted to cells observed in every condition",
      "fixedConditionVariance": "constant within the selected condition"
    },
    {
      "id": "pooledTotal",
      "unit": "every valid replicate observation across all conditions",
      "warning": "includes fixed between-condition spread and replicate weighting; not a random-process sigma"
    },
    {
      "id": "commonSet",
      "unit": "one mean per cell-condition for cells with at least one valid observation in every condition",
      "denominator": "common cells and eligible cells always displayed"
    },
    {
      "id": "allValid",
      "unit": "one mean per valid cell-condition without requiring cross-condition completeness",
      "denominator": "valid and eligible cell-condition and observation counts always displayed"
    }
  ],
  "coverageContract": {
    "eligibleCells": 300,
    "eligibleCellConditions": 1200,
    "eligibleObservations": 2400,
    "pairValidity": "at least one valid replicate in the cell-condition pair",
    "commonCell": "a cell with at least one valid replicate in every one of the four conditions",
    "requiredVisibleDenominators": [
      "selected values",
      "selected cells",
      "selected cell-condition pairs",
      "eligible cells",
      "common cells",
      "eligible cell-condition pairs",
      "valid cell-condition pairs",
      "eligible observations",
      "valid observations"
    ],
    "missingValuesAreZero": false,
    "missingValuesEnterStatistics": false
  },
  "metricContract": {
    "descriptiveStatistics": [
      "count",
      "mean",
      "sample standard deviation with N-1 divisor",
      "population standard deviation with N divisor",
      "minimum",
      "p05",
      "median",
      "p95",
      "maximum"
    ],
    "histogramBins": 18,
    "varianceClosure": "var(total) = sum(component variances) + two times every pairwise component covariance",
    "covarianceRemainder": "Displayed explicitly because finite subsets and controlled missingness need not keep generated components orthogonal.",
    "closureToleranceMv2": 1e-9,
    "sigmaUncertainty": "first-order relative standard uncertainty 1/sqrt(2*(N-1)), labeled iid-normal reference only",
    "hierarchyWarning": "Row count is not effective independent sample count when lots, wafers, cells, conditions, or replicates are shared."
  },
  "balanceContract": {
    "roles": {
      "pd": "pull-down strength direction",
      "pg": "pass-gate strength direction",
      "pu": "pull-up strength direction"
    },
    "metrics": {
      "readMarginMv": {
        "id": "readMarginMv",
        "label": "Read margin proxy",
        "baselineMv": 120,
        "coefficientsMvPerZ": {
          "pd": 18,
          "pg": -18,
          "pu": 0
        }
      },
      "writeMarginMv": {
        "id": "writeMarginMv",
        "label": "Write margin proxy",
        "baselineMv": 110,
        "coefficientsMvPerZ": {
          "pd": 0,
          "pg": 20,
          "pu": -20
        }
      },
      "inverterSkewMv": {
        "id": "inverterSkewMv",
        "label": "Inverter skew proxy",
        "baselineMv": 0,
        "coefficientsMvPerZ": {
          "pd": 15,
          "pg": 0,
          "pu": -15
        }
      }
    },
    "interpretation": "All values are original linear mV-labeled teaching proxies with visible coefficients and no transistor, compact-model, or silicon calibration."
  },
  "componentLedger": {
    "components": [
      "fixedCondition",
      "lot",
      "wafer",
      "spatial",
      "localMismatch",
      "measurementNoise"
    ],
    "rowIdentity": "metric = baseline + fixedCondition + lot + wafer + spatial + localMismatch + measurementNoise",
    "reconstructionToleranceMv": 1e-10,
    "storedTruth": "Every synthetic row carries its generated component ledger so the learner can compare total and source contributions."
  },
  "defaultSummary": {
    "input": {
      "seed": 128031,
      "lotSigmaZ": 0.055,
      "waferSigmaZ": 0.045,
      "spatialSigmaZ": 0.035,
      "localSigmaZ": 0.085,
      "noiseSigmaMv": 1.2,
      "missingPairRate": 0,
      "missingReplicateRate": 0
    },
    "dimensions": {
      "conditions": 4,
      "lots": 4,
      "wafersPerLot": 3,
      "sitesPerWafer": 25,
      "replicates": 2,
      "cells": 300,
      "cellConditions": 1200,
      "observations": 2400
    },
    "coverage": {
      "eligibleCells": 300,
      "commonCells": 300,
      "eligibleCellConditions": 1200,
      "validCellConditions": 1200,
      "eligibleObservations": 2400,
      "validObservations": 2400,
      "byCondition": {
        "nominal": {
          "eligibleObservations": 600,
          "validObservations": 600,
          "eligibleCellConditions": 300,
          "validCellConditions": 300
        },
        "read-stress": {
          "eligibleObservations": 600,
          "validObservations": 600,
          "eligibleCellConditions": 300,
          "validCellConditions": 300
        },
        "write-stress": {
          "eligibleObservations": 600,
          "validObservations": 600,
          "eligibleCellConditions": 300,
          "validCellConditions": 300
        },
        "skew-stress": {
          "eligibleObservations": 600,
          "validObservations": 600,
          "eligibleCellConditions": 300,
          "validCellConditions": 300
        }
      }
    },
    "maximumReconstructionErrorMv": 0,
    "datasetDigest": "B1FE838CFD167B3D2EAEF62DDE1782A872FE4B78693191F9668EE2616B7237CD",
    "analyses": {
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            "p95": 125.096744423587,
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            "diagonalVariance": 9.261786608126,
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            "firstOrderRelativeStandardUncertainty": 0.028891599833,
            "assumption": "iid normal reference only; hierarchy and repeated observations reduce effective independence"
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        "pooledTotal": {
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            "populationStd": 7.275940799745,
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            "closureError": 2e-12
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        "allValid": {
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      "writeMarginMv": {
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        "pooledTotal": {
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        "commonSet": {
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    "evidenceClass": "illustrative-original-surrogate",
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      "A governed sampling plan with actual condition, lot, wafer, die, site, replicate, and exclusion genealogy.",
      "Qualified fixed-corner or condition definitions with explicit scope; no statistical-sigma mapping unless independently defined.",
      "Measured or transistor-level read, write, and inverter-skew metrics with extraction definitions, bias, temperature, and units.",
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      "id": "nist-variance-components",
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        "Variance components attribute portions of variability to declared factors.",
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      "id": "nist-standard-deviation-confidence",
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      "id": "nist-tn1297-reporting",
      "title": "NIST TN 1297: Reporting Uncertainty",
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      "id": "src-pdy-mos-matching-1989",
      "title": "Matching Properties of MOS Transistors",
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      "url": "https://doi.org/10.1109/JSSC.1989.572629",
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      "organization": "SemiAgora",
      "url": "/simulations/ler-lwr-variability-chain",
      "supports": [
        "Upstream geometry-to-bounded-proxy continuity.",
        "Measured replacement and yield-stop boundaries."
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      "rights": "public SemiAgora route"
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    "runtime": "React state in the current browser tab",
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      "fixedConditionsOnly"
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      "missing cell-condition rate",
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      "analysis view",
      "sample or population divisor"
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    "views": [
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      "selected-distribution histogram",
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      "PD/PG/PU fixed-direction bars"
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      "csv"
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    "productionIdentifiers": false,
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    "pdkData": false,
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    "Every row, condition, component, strength, margin value, missingness flag, and distribution is deterministic synthetic teaching data.",
    "The balanced hierarchy and orthogonalized fields are designed for interpretability; they are not a foundry sampling plan or covariance model.",
    "The four fixed conditions are deliberate directions, not sampled tails, PDK corners, or sigma equivalents.",
    "PD, PG, and PU strengths and the read, write, and inverter-skew values are linear original proxies with arbitrary visible coefficients and no calibration.",
    "The first-order sigma uncertainty reference assumes iid normal observations; nested and repeated rows are not independently sampled.",
    "Finite subsets and missingness can create component covariance, so diagonal component variances alone need not equal total variance.",
    "The lab cannot establish physical causality, statistical representativeness, measurement adequacy, process capability, Vmin, failure probability, array yield, recipe transfer, qualification, signoff, or production readiness.",
    "Researcher-facing businesses remain deferred to a separately verified V200 contract."
  ]
}
