Source: https://guthlabs.ai/docs/instruments/pigeonhole-counting-principle-demonstrator/implementation/

instrument implementation / implementation-contract

# Pigeonhole & Counting Principle Demonstrator implementation

A source-bound implementation contract for Pigeonhole & Counting Principle Demonstrator; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: t6-076

**Effect**: Computation or source lookup only

## Input and validation requirements

Invalid counts are hazardous: hole_count = 0 makes the formula undefined, and negative counts produce mathematically computable but physically meaningless results unless explicit input validation rejects them.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "mode": "pigeonhole",
    "pigeons": 23,
    "holes": 5
  },
  "expected_outputs": {
    "guaranteed_at_least_in_one_hole": 5
  },
  "working": "Compute the average occupancy: 23 / 5 = 4.6. Round upward to the next integer: ceil(4.6) = 5. Therefore, some hole must contain at least 5 pigeons."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/pigeonhole-counting-principle-demonstrator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/pigeonhole-counting-principle-demonstrator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/pigeonhole-counting-principle-demonstrator/qualification/>)

## Sources and evidence

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

- `VERIFIED_LEDGER.json`

- `evidence-tranche6/tranche6-results.json`