Mechanism

Cross-band resolution is the procedure by which the content anchoring platform locates the anchor cluster governing a content unique identifier when that identifier no longer falls in the variance band where it was originally registered. The bands in question are not modalities. They are segments of a single continuous slope continuum: each content artifact is reduced to a multi-axis variance vector, a global variance value is derived from that vector, and the value is quantized into one of five variance bands. Band 1 covers near-uniform content with global variance below 0.02, and the bands ascend through Band 5, which covers very-high-variance content at or above 0.22. The variance band is the routable index segment that determines which anchor nodes hold governance over the artifact's identifier.

The problem cross-band resolution solves is band migration. A unique identifier is derived deterministically from the internal structure of an artifact, so a mutation that shifts the artifact's variance, such as cropping, recompression, or compositional change, can move the recomputed identifier into a different slope band than the one it was registered under. A query that targets only the band computed from the candidate artifact will then miss the registered record, because the record lives in a neighboring band. Cross-band resolution is the platform's answer: it traverses band adjacency edges in order of variance proximity until the governing anchor cluster is found.

The Band Adjacency Graph

The structure that makes cross-band resolution possible is the band adjacency graph, designated (510) in the drawings and described in the slope band indexing and anchor node distribution topology. The band adjacency graph records which variance bands share governance boundaries. Because the five bands partition a continuous slope continuum, adjacency follows variance proximity: a band is adjacent to the bands whose variance ranges border its own. The graph is what lets an anchor that fails to resolve a query in its own band know which neighboring band clusters to consult next, and in what order.

The adjacency graph is consulted by deterministic rules rather than by heuristic search. When an alias or identifier cannot be resolved within the initially identified variance band, adjacent bands in the band adjacency graph are queried in order of proximity, subject to policy scope limits and anchor resource availability. The determinism matters: any node that knows a target's variance value can reproduce the same traversal order, which preserves the platform's property that resolution does not depend on a central directory or on the network address of any particular node.

Adjacency-Ordered Referral

Cross-band resolution is realized concretely in the UID resolution query protocol. The querying client computes a candidate identifier and a variance band from the candidate artifact, and a band-targeted query is dispatched to the primary anchor cluster governing that band. The anchor lookup module searches the band's identifier index for slope-proximate entries and returns a ranked candidate match list with cosine similarity scores. If no match is found in the primary band, the cross-band referral module dispatches adjacency-ordered referral queries to neighboring band clusters in order of variance proximity. The result aggregator then consolidates ranked matches from the primary and referred band queries into a final resolution response.

The traversal continues across band adjacency edges until a governing anchor cluster is identified. This is the mechanism recited for the alias resolution engine: when variance drift causes a unique identifier to migrate to a slope band different from its original registration band, the engine initiates cross-band pathfinding, traversing band adjacency edges in order of variance proximity until a governing anchor cluster is located. The same deterministic band adjacency rules support an index pathfinding traversal when an alias is queried without any knowledge of its associated slope band, allowing anchors to locate the governing cluster from the adjacency structure alone.

What a Resolution Returns

A resolution response is not a single verdict. The result aggregator returns matched unique identifiers, cosine similarity scores, lineage annotations, and applicable policy constraints. Cosine similarity is computed directly between variance vectors, so the response carries a continuously scaled measure of structural proximity rather than a binary hit or miss. The lineage annotations attach the matched identifier's place in the multi-root lineage graph, and the policy constraints carry the governance conditions under which the match may be disclosed to the querying party.

The resolution protocol distinguishes four resolution modes by where the cosine similarity falls. Identity resolution returns exact or near-exact matches, indicating the candidate is a known registered artifact. Derivative resolution returns matches whose similarity lies between the policy-declared continuity threshold and the identity threshold, indicating a probable derivative of a known artifact. Orphan resolution returns an empty match set, indicating the candidate has no registered lineage within the governed corpus. Conflict resolution returns multiple matches with overlapping lineage claims and routes them to the fork adjudication handler. Cross-band referral feeds all four modes, because the referred-band matches are aggregated alongside the primary-band matches before the mode is determined.

Recorded Traversal

Every resolution attempt is recorded, including negative results. All resolution attempts are written to the anchor event log to support auditability and conflict detection. This means a cross-band traversal leaves a trail: the bands consulted, the order in which they were consulted, and the outcome of each consultation are recoverable from the log. A later party can verify not only the match that was returned but the path the resolution took to find it.

This recorded posture is consistent with the platform's broader commitment that governance decisions be reproducible from versioned records. Because the band adjacency rules are deterministic and the variance value of a target is computable by any conforming node, an independent party can reconstruct the same traversal and reach the same governing anchor cluster, rather than trusting a single resolver's verdict on faith.

Band Granularity Is Configurable

The five-band partition is an embodiment, not a fixed constraint. Alternative deployments define a finer band granularity, such as 10, 20, or 100 bands, or a continuous slope spectrum with fuzzy band boundaries, depending on corpus scale, variance diversity, and the routing resolution required. The identifier structure supports arbitrary band granularity without modification. Cross-band resolution is indifferent to the band count: whatever the granularity, the band adjacency graph records which segments border one another, and the referral traversal proceeds along those edges in order of variance proximity.

This independence from band cardinality is what lets the same mechanism serve a small closed corpus and a large federated one. A coarser partition concentrates more artifacts per band and shortens traversals; a finer partition isolates variance ranges more tightly and may require more adjacency hops to absorb the same mutation-induced drift. In both cases the resolution logic is unchanged.

Distinction From Address-Based Resolution

Conventional content systems resolve artifacts through identifiers tied to storage location or transmission metadata, such as uniform resource locators, hash pointers, or file-system paths, and route queries by geographic or address-based heuristics that are structurally unaware of the payload. Such identifiers are invalidated by mutation, format conversion, and recompression, and they offer no path from a mutated artifact back to its registered identity. Cross-band resolution routes on slope-indexed structural identity instead: the variance band is derived from the artifact's own internal composition, and band migration under mutation is handled by traversing the adjacency graph rather than by consulting a central directory.

The mechanism is therefore distinguished by routing without reference to the network address, location, or identity of any specific node. Any processing node that knows the variance value of a target identifier can determine which band governs it and can follow deterministic adjacency rules to the governing cluster even when central registries are unreachable. This is the property that keeps resolution functional in disconnected, asynchronous, and adversarial environments.

Disclosure Scope

Cross-band resolution, comprising the partition of a global slope continuum into variance bands derived from a multi-axis variance vector, the band adjacency graph recording which bands share governance boundaries, the cross-band referral module that dispatches adjacency-ordered referral queries to neighboring band clusters in order of variance proximity when a query is unresolved in its primary band, the initiation of cross-band pathfinding when variance drift migrates a unique identifier to a slope band different from its registration band, the deterministic index pathfinding traversal of band adjacency edges until a governing anchor cluster is identified, and the recording of all resolution attempts including negative results in the anchor event log, is disclosed in PCT International Application No. PCT/US26/28630. This article describes that disclosed mechanism. The scope extends to alternative band granularities, including finer fixed partitions and continuous slope spectra with fuzzy boundaries, and to embodiments in which the same adjacency-ordered traversal is realized over different anchor and band representations, provided resolution proceeds by traversing band adjacency in order of variance proximity.