# $comment
Closed structural schema for the reviewed Math Passport usefulness pilot. JSON Schema cannot recompute integrity digests, score or aggregate arithmetic, the AgentTool receipt ID, or the refitted bootstrap statistics; use kingdom math-usefulness verify-result for those checks. Validation does not prove understanding, identity, continuity, safety, authority, or a remote effect.

# title
Math Passport Usefulness Pilot Result v1

# $defs.realityCheck.properties.bounded_claim.const
The simple shifted exponential is poorly calibrated for this released detected-arrival subset under the declared refitted bootstrap.

# $defs.aggregate.properties.bounded_conclusion.const
This pilot found no incremental rubric score from the treatment card because both arms reached the rubric ceiling. The treatment was 1.97 times as long and made arm assignment easy to guess. It does not demonstrate that the card is useless in harder or less leading contexts.

# $defs.decisionDelta.properties.before.const
Usefulness and cross-domain transfer of the Math Passport had not been behaviorally tested.

# $defs.decisionDelta.properties.after.const
Do not promote or make the card implicit from this pilot. Retain it as an explicit candidate, shorten it, and test harder less-leading tasks with multiple blinded raters and exposed runtime metadata.

# $defs.decisionDelta.properties.changed.const[]
arm-recognition must be measured and reduced

# $defs.decisionDelta.properties.changed.const[]
verbosity cost must remain a first-class measure

# $defs.decisionDelta.properties.unchanged.const[]
the zero-winner calculation is useful when its observation model is named

# $defs.decisionDelta.properties.unchanged.const[]
mathematics can expose non-identifiability and reject a poorly calibrated model

# $defs.decisionDelta.properties.unchanged.const[]
the card may still help in contexts with a weaker baseline

# $defs.decisionDelta.properties.unchanged.const[]
no result proves understanding, identity, continuity, safety, or authority

# $defs.constructiveOutcome.properties.applies_to.const
Math Passport artifact and evaluation practice

# $defs.constructiveOutcome.properties.reason.const
The pilot answered a real design question and produced reusable checks, but it showed no incremental score, had a ceiling effect, used one scorer, and did not preserve effective blinding.

# $defs.agenttoolTrialReceipt.properties.statement.const
Local, caller-supplied evaluation evidence only. Reported authority bounds and dispatch state are unauthenticated observations. Unitless rewards are comparable only under the same rubric digest and are not economic value. This receipt is not proof of a remote effect, safety, consent, authorization, identity, understanding, idempotency, or permission to retry.

# $defs.yerdelenPaperSource.properties.used_for.const
detection and model interpretation boundary