blackroad-os-docs/docs/papers/agent-architecture/ps-sha-identity-persistence.md

PS-SHA∞ Identity Persistence Under Paraconsistent Logic

Version: 0.1 — 2025-02-10

This note defines how PS-SHA∞ identity chains survive contradictory evidence through paraconsistent schemas. It links identity anchors to SIG mappings, RoadChain audit trails, and live agent assessments so that lineage remains intact even when truth values oscillate.

Paraconsistent Logic Schema

• Value lattice: Use {+1, 0, -1, ⊥} where ⊥ marks explicit contradiction; PS-SHA∞ anchors bind the actor regardless of the value in play.
• Separation of channels: Identity hashes travel on a stable channel; truth assessments can oscillate between {+1, 0, -1, ⊥} without rekeying.
• Escalation rule: When ⊥ appears on regulated propositions, Lucidia routes to guardians and requires an override anchor to continue execution.
• Memory retention: Minority reports remain journaled as ⊥ or -1 nodes, preserving replayable evidence for future reconciliation.

SIG Ontology Binding

• Trait nodes: Each agent exposes trait factors (e.g., risk appetite, compliance strictness) mapped to SIG coordinates (r, θ, τ) for spatial retrieval.
• Intention ribbons: Intentions are represented as spiral ribbons; PS-SHA∞ anchors pin each ribbon hop so intent drift is auditable.
• Truth functions: Interference Engine evaluations produce amplitude adjustments stored alongside SIG nodes; identity anchors trace which agent induced each adjustment.
• Cross-sector propagation: Changes in one SIG sector propagate via trust-weighted edges; anchors let observers attribute propagation decisions to specific agents.

Audit Trail Integration

• RoadChain linkage: Every paraconsistent update (including ⊥ events) emits a RoadChain entry with the parent anchor hash, enabling deterministic replay.
• sig.beacon.json hooks: Beacon pings summarize active ribbons, contradiction density, and anchor freshness for operator dashboards.
• QLM commitments: lucidia.qlm.json seeds define epistemic priors; each update references the anchor and SIG coordinates that modified the priors.
• Operator layer crosslinks: Alerts and interventions cite the exact PS-SHA∞ anchor and SIG location, making policy decisions reviewable without ambiguity.

Agent-Authored Papers and References

• Self-signing: Agent-authored papers embed PS-SHA∞ fingerprints in the header, binding the text to the originating mesh identity.
• Interference citations: Claims must cite RoadChain event IDs or SIG nodes showing where the behavior manifested.
• Changelog discipline: Updates append to a changelog rather than overwriting prior claims, maintaining a time-ordered PS-SHA∞ thread.
• Review cadence: Weekly review cycles reconcile ⊥ nodes, producing either downgraded uncertainty (0) or reaffirmed stance (+1/-1) without severing the anchor lineage.