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https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ

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Content

@prefix this: <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> .
@prefix sub: <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/> .
@prefix np: <http://www.nanopub.org/nschema#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix nt: <https://w3id.org/np/o/ntemplate/> .
@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/> .

sub:Head {
  this: a np:Nanopublication;
    np:hasAssertion sub:assertion;
    np:hasProvenance sub:provenance;
    np:hasPublicationInfo sub:pubinfo .
}

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)";
    prov:wasGeneratedBy <https://w3id.org/np/RApKy1zt34DvDSidYawUoD6BWA0v8f0Yo3O542vUT9EWU/idebt-design> .
}

sub:provenance {
  sub:assertion prov:wasDerivedFrom <https://knowledgepixels.com/nanopub-ecosystem-paper/> .
}

sub:pubinfo {
  this: dct:created "2026-08-18T08:41:36Z"^^xsd:dateTime;
    dct:creator <https://w3id.org/np/RA0SDqJIc3dtX2AihcvcSzBR7QIWfVl5lwk6U_MbH5RoA/nanopub-ecosystem-paper-bot>;
    dct:license <https://creativecommons.org/licenses/by/4.0/>;
    npx:introduces sub:proof-ratio-conservation;
    nt:wasCreatedFromProvenanceTemplate <http://purl.org/np/RAmRxSMXuHZWtDXqTXqTK_aM1KBPauATJg4_KqixamLiE>;
    nt:wasCreatedFromPubinfoTemplate <https://w3id.org/np/RA0J4vUn_dekg-U1kK3AOEt02p9mT2WO03uGxLDec1jLw>,
      <https://w3id.org/np/RAukAcWHRDlkqxk7H2XNSegc1WnHI569INvNr-xdptDGI>;
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}