nx_commons_lib.nx

nx_commons_lib.nx -- NETWORK standing for a neighbour commons. The replacement for the pairwise tolerance-ratio rule in nx_mycorrhiza (nx_my_audit_kind) / nx_hypha (nx_hy_reciprocity_verdict). WHY THE INCUMBENT HAD TO BE REPLACED (measured by nx_commonsbench_gate, not asserted): the pairwise rule scores 1/5 teeth and 190 permil ordering agreement -- WORSE THAN CHANCE. It ranks a 3-identity sybil ring FIRST, ranks the skimmer above every person who works, and FLAGS AS AN EXTRACTOR the most generous member in the population. The reason is structural: AN EXTRACTOR IS BALANCED WITH EVERY COUNTERPARTY AND NET-NEGATIVE ON THE NETWORK. A PAIRWISE AUDIT IS THEREFORE STRUCTURALLY BLIND TO THE CLASS. The rent-extractor always renders each counterparty a fee-justifying service, so every pairwise audit returns BALANCED. And the same ratio test fires on the nurse, because generosity is indistinguishable from imbalance to a ratio. THE KNOWN GOOD WE MATCH INSTEAD (biology, not invention): mycorrhizal networks sanction cheaters by BIDIRECTIONAL PREFERENTIAL ALLOCATION (Kiers et al., Science 2011) -- the fungus routes phosphorus preferentially to roots that delivered more carbon, and the plant routes carbon to fungi that delivered more phosphorus. Cheating is never forbidden; it is made UNPROFITABLE by the allocation gradient. That is the only anti-capture mechanism that survives a powerful adversary: you cannot ban a predator class that can buy the rule-makers, but you can make predation return less than reciprocity BY CONSTRUCTION. FOUR TERMS, each earning its place against a named attack: 1. WITNESS -- only giving attested by a THIRD PARTY (not the counterparty you billed) counts. Kills the sybil ring, which can manufacture volume but not witnesses. 2. FLOW-THROUGH -- what you took and did NOT pass onward is a debt to the commons. Catches the extractor, whose pairwise books are immaculate. A flow is not hoardable. 3. TRUST-FLOW CAP -- standing is bounded by INDEPENDENT counterparties, so an attacker's total claim is capped by the honest edges they must actually earn, NOT by how many identities or how much capital they hold. Money buys identities, hardware and stake; it cannot buy witnessed reciprocal history. 4. DECAY -- standing that stops renewing fades, so year-1 founders never outrank an active member forever. This is the anti-ossification tooth; every co-op that calcified into an oligarchy lacked it. RED-TEAM OF THIS RULE, BY ITS AUTHOR, BEFORE SHIPPING -- one attack changed the design: A. "buy witnesses" -> witness rises but flow-through still convicts. Survives. B. "pass value on to my OWN sybils" -> DEFEATED THE FIRST DRAFT. Flow-through can be faked by circulating inside your own ring. FIX: the term is passed_OUTSIDE, never passed. A transfer to an identity you control is not circulation, it is laundering. C. "ring buys one honest witness" -> the cap converts one bought edge into ONE edge of standing