<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://www.nanopub.org/nschema#hasAssertion> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/Head> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://www.nanopub.org/nschema#hasProvenance> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/provenance> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/Head> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://www.nanopub.org/nschema#hasPublicationInfo> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/Head> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.nanopub.org/nschema#Nanopublication> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/Head> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/proof-ratio-conservation> <http://purl.org/dc/terms/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." <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/proof-ratio-conservation> <http://purl.org/spar/cito/isDocumentedBy> <https://knowledgepixels.com/nanopub-ecosystem-paper/> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/proof-ratio-conservation> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.wikidata.org/entity/Q11538> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/proof-ratio-conservation> <http://www.w3.org/2000/01/rdf-schema#label> "Proof of ratio conservation (Lemma 1)" <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/proof-ratio-conservation> <http://www.w3.org/ns/prov#wasGeneratedBy> <https://w3id.org/np/RApKy1zt34DvDSidYawUoD6BWA0v8f0Yo3O542vUT9EWU/idebt-design> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/assertion> <http://www.w3.org/ns/prov#wasDerivedFrom> <https://knowledgepixels.com/nanopub-ecosystem-paper/> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/provenance> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://purl.org/dc/terms/created> "2026-08-18T08:41:36Z"^^<http://www.w3.org/2001/XMLSchema#dateTime> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://purl.org/dc/terms/creator> <https://w3id.org/np/RA0SDqJIc3dtX2AihcvcSzBR7QIWfVl5lwk6U_MbH5RoA/nanopub-ecosystem-paper-bot> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://purl.org/dc/terms/license> <https://creativecommons.org/licenses/by/4.0/> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <http://purl.org/nanopub/x/introduces> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/proof-ratio-conservation> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <https://w3id.org/np/o/ntemplate/wasCreatedFromProvenanceTemplate> <http://purl.org/np/RAmRxSMXuHZWtDXqTXqTK_aM1KBPauATJg4_KqixamLiE> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <https://w3id.org/np/o/ntemplate/wasCreatedFromPubinfoTemplate> <https://w3id.org/np/RA0J4vUn_dekg-U1kK3AOEt02p9mT2WO03uGxLDec1jLw> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <https://w3id.org/np/o/ntemplate/wasCreatedFromPubinfoTemplate> <https://w3id.org/np/RAukAcWHRDlkqxk7H2XNSegc1WnHI569INvNr-xdptDGI> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <https://w3id.org/np/o/ntemplate/wasCreatedFromTemplate> <https://w3id.org/np/RA7WpC4Dgd0pdN7JOo0KAbTV9b6vdjMl6KrhN4GOTjSE8> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/sig> <http://purl.org/nanopub/x/hasAlgorithm> "RSA" <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/sig> <http://purl.org/nanopub/x/hasPublicKey> "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAxxo+arlpyxYYoHYYVTNSOWe/es90yVMBA8vaDyaAQk4pnOjTlpPptP5IkGg6zuCRIlm11QrHKkiU536witBT6gdh9kP9ay3S6m7wZ3iM7YcPMfhVHUXN6TBnuiKHHyJdVeK6RxMZlfXRKEz9HYcND+PGCXMVp8BofpKBKke3y4m8FTt+8aMEcgVcFBHFdrkWXoIIvkMlodtXkMgSwuGK8yXt/9lXqChIWpsbzu2juuX6pktMkfexkfQTwIH7oNSr/ma4KzZXERuLrCSO6IH5SfWXwjQUery6rKHiEMyie58mgBf0ssKh+uJoaZOqgbmj0f+EDwTIzq0dNsPA0A+n2QIDAQAB" <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/sig> <http://purl.org/nanopub/x/hasSignature> "ocllMicVMrTxnbL60CFKayaYKsCgKA5l2fiz5DqXNTAXpwG5PmoKJS4XFOq5LLrLE6XSuXrMVbuLVE1R0ddwZp0WE8AL7HSCzDQEIyQ6jfyklUgijb24pJmtaiI9Xm5mSLE7VsBurkurVUW/FIbMsW1C6QfUV2zAW20UJ1ZF1OhDIlfEn2JKS5PlIQ4UcsKI4AcH1GRaKLrGi665sQ5ShetSPj5KV7+V1cNNVeWBKNoM/zr45oG60ogDFDDX4ZDcd5bRk0p0tDWqqlhBAJDj9bcHZimXJo8OoB9VFhnFj3/szNakJCD4kgd2lWIIH9EnZCZXMvXJC6WcZpPAu2u5aw==" <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/sig> <http://purl.org/nanopub/x/hasSignatureTarget> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .
<https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/sig> <http://purl.org/nanopub/x/signedBy> <https://w3id.org/np/RA0SDqJIc3dtX2AihcvcSzBR7QIWfVl5lwk6U_MbH5RoA/nanopub-ecosystem-paper-bot> <https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ/pubinfo> .