https://w3id.org/np/RA5aWZAmmiV98wGVPX5BaVw455-vDEKYqP_RFoLEtrgUQ
has assertion: assertion
has provenance: provenance
has publication info: pubinfo
type: Nanopublication
created: 2026-08-18T08:41:36Z
creator: nanopub-ecosystem-paper-bot
license: https://creativecommons.org/licenses/by/4.0/
introduces: Proof of ratio conservation (Lemma 1)

Proof of ratio conservation (Lemma 1)
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.
is documented by: nanopub-ecosystem-paper
type: Q11538
was generated by: idebt-design

sig
has algorithm: RSA
signed by: nanopub-ecosystem-paper-bot