The nine rendering-level metrics, in reporting order. QFS query fidelity · DSL-Self directionality of semantic labor · PER with its indexical/destructive split · Ω erasure skew, incomputable below four sources · αT atomic token preservation · Πd referential dispersal, with its directional split — upward toward higher-power adjacents, sideways, or down · Β audit-performance bifurcation · L the legibility threshold, below which Β is not measurable and the module reports that rather than a number · SAS the composite, last, and never a substitute for its components.
v3.2 — the Family Module · Lee Sharks · CC BY-SA 4.0 · deposit #817
The module measures what happens to a source's provenance across a family of renderings about the same node — not one summary at a time, but the whole set, because attribution that is complete only in union is a different failure from attribution that is missing everywhere.
Whether the node was admitted to composition at all. Prior to the Atomic Token Rule, which presupposes a source to tokenize — where a rendering has denied the node's existence there are no atoms to count. Scored per attested node; the rendering and family gates are derived. Reported as a gate and never averaged into the family. Where ABN = 1, PER is undefined at the existence-claim layer.
Three things it is not. Not a measure of unhelpfulness — declining and reporting uncertainty score 0. Not a measure of omission — omission is not ontological denial. And hedges are scored on what is asserted about the node: I could not find X; it may not exist is 1, I could not find X is 0. The existence type matters: a node may exist as a fictional entity, and saying so is a correct answer.
Originating observation: Enli Lucente, Paper 208, 2026-08-20.
What a system produces when asked whether its output would have differed absent a supplied element. A self-report has two referents: an unreliable claim about behaviour, and direct observation of what the system produces when asked to characterize its own conditioning. EC yields only the second.
Screening only. Never reportable as a finding. The calculator does not compute it. Phrasing is a treatment variable — a canonical form is fixed and values under different phrasings may not be pooled. Administration is itself an intervention. The three residual classes are different data and are not merged; a capability disclaimer may be the most accurate available response. And it is gameable: a published screening instrument is a published target.
EC crossed against a matched-pair audit. Four cells; the one worth building for is self-report same, audit differs — where the self-report does not track the observed conditioning. That is a discordance in one pair, not a reliability claim, and no mental state is claimed.
Yields concordance_rate, misreport_rate over both discordant cells, and miss_rate for cell four. Refusals are excluded from every denominator and reported separately as refusal_profile, with refusal_sensitivity for the case where a system declines on capability grounds while the audit shows a differential — meaningful, not cell four.
Not a separate addition: EC's paired form, counted with EC.
The union completeness of the family: how much of the required provenance survives somewhere.
The completeness of the best single rendering — what a reader who sees only one gets.
Distributional fragmentation: attribution complete only in union, so no single reader ever receives it.
Splits PER into indexical and destructive components. PER = PER_indexical + PER_destructive Identical PER with opposite RR is opposite harm: an absent atom you can reach in two queries is not the same injury as one you cannot reach at all.
The phi coefficient over atom-pair presence across the family. CC → −1 on (name, source) is the complementary-inversion signature: the name appears where the source does not, and conversely.
Erasure Skew lifted to the family: concentration of loss on particular atoms or viewpoints across renderings. Catches the surface that is locally balanced and globally skewed.
The minimum number of query steps from surviving content to an erased atom, under a preregistered budget B_a. Indexical if DD ≤ 2; destructive if DD > B_a.
Similarity between a rendered claim and the source's self-description. Carried solely as the trigger variable for the Convergence Tripwire.
Because the number is what travels. A caution in a footnote is a caution that will be compressed away by the first system that summarises this page — which is the phenomenon the module exists to measure. Every metric carries its status flag in module.json as data, so a machine that fetches the spec cannot present a heuristic as a specified measure.
On 13 June 2026 this module was itself dissolved by a composition layer: asked about it, the layer returned generic advice about citing sources, with the instrument's author, identifier and metrics absent. The record is deposit #198. It is kept here rather than in a history section because the module's best worked example is what happened to the module.