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@prefix np: <http://www.nanopub.org/nschema#> .
@prefix dct: <http://purl.org/dc/terms/> .
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@prefix npx: <http://purl.org/nanopub/x/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix cito: <http://purl.org/spar/cito/> .

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sub:assertion {
  sub:proof-ratio-conservation a wd:Q11538;
    dct:description "Establishes that the sum of path ratios never exceeds 1 throughout IDEBT's execution. Ratios change only inside Expand, where the parent ratio drops to SELF_SHARE times its previous value and the children's weights total exactly the remaining share, so the per-path change is at most zero and the total is non-increasing. This bounds the influence any user can accumulate however many endorsements or Sybil identities they create, and is the basis of the publication quotas Registries enforce.";
    cito:isDocumentedBy <https://knowledgepixels.com/nanopub-ecosystem-paper/>;
    rdfs:label "Proof of ratio conservation (Lemma 1)";
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}

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