Source: https://guthlabs.ai/docs/instruments/markov-chain-simulator/qualification/

instrument qualification / verified-with-binding-errata

# Markov Chain Simulator qualification

Verified with errata that must be applied at binding time.

Status: **VERIFIED_WITH_ERRATA**Lifecycle: **verified-with-binding-errata**

## Ledger verdict

Verified with errata that must be applied at binding time.

**Status**: VERIFIED_WITH_ERRATA

**Tranche**: tranche-8

**Review vectors**: 4

**Ledger rows**: 1

## Applied errata

````
[
  {
    "vector": 2,
    "field": "state_distribution_at_n",
    "wrong": "[1,0,0]",
    "correct": "[0,1,0]",
    "cause": "for the cyclic permutation matrix P=[[0,1,0],[0,0,1],[1,0,0]], her own working asserts '[1,0,0]·P=[1,0,0]', but row 0 of P is [0,1,0] so [1,0,0]·P=[0,1,0] — a basic matrix-vector-product error, confirmed by direct recomputation of P^4 applied to the initial distribution"
  }
]
````

## Adversarial re-test context

The full catalog was re-tested from boundary, convention, and self-check angles in 2,787 requests. Five genuine computational defects were independently verified and corrected. This page reports the current ledger state for this instrument; it does not imply product deployment or interface qualification.

## Release gate

Bind every attached correction, replay the affected vectors, enforce boundary validation, and preserve evidence before describing the executable surface as qualified.

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/markov-chain-simulator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/markov-chain-simulator/mechanism/>)[03**Implementation**](<https://guthlabs.ai/docs/instruments/markov-chain-simulator/implementation/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `STRESS_TEST_RECEIPT.json`

- `tranche errata record`