Gap, Custody Risk: Field Position Report

Eigenstate Research, July 02, 2026

Methodology: The Information Field Equations, E = ΔI/A, G = ∮E·dl, Protocol Truth → 1/φ

Publication field context

The Eigenstate engine currently measures the tokenized settlement field at:

• Protocol Truth (PT): 0.0568 (target: 0.618, the golden-ratio equilibrium)
• Field Coherence (κ): 0.5009 (living zone: 0.618-0.678)
• Coverage: 14 of 199 entities with measured ΔI > 0 (7.0%), M1 topology denominator
• Uncertainty (U): 26.0

The field is 0.1172 below equilibrium coherence. Each entity with measured vault activity raises the global PT toward 0.618. Gap, Custody Risk does not yet have a complete observation record on the M1 topology (199 entities).

What it is

Gap, custody risk is the physics-gap node marking the distance between the custody-is-solved narrative and verifiable qualified-custodian coverage for tokenized assets. For spread-capture topology, this gap entity measures where settlement pressure persists because on-chain visibility outruns attested custodian segregation and regulatory safekeeping rules.

Verified claims

Field Confidence: ? LOW, No external sources mapped for this entity, engine-internal data only

Verification: 3/3 source-checked (ATTESTED), 3 grounded. Each claim below carries a machine-checked status against its cited source; ungrounded items are editorial assessments, not verified facts.

Active signals the engine is tracking for Gap, Custody Risk:

Coinbase Custody, institutional safekeeping [✓ ATTESTED-PRIMARY] Coinbase's custody page documents institutional digital asset safekeeping, primary lane for custody-gap coverage claims in tokenized settlement graphs. Source-checked: ATTESTED-PRIMARY · custody sha256 2e4c029b0679…, found in primary source

BitGo, digital asset custody [✓ ATTESTED-PRIMARY] BitGo's homepage documents digital asset custody infrastructure, cross-check for custodian coverage in custody-gap topology. Source-checked: ATTESTED-PRIMARY · custody sha256 b6ff7505ff8a…, found in primary source

SEC, securities regulator mission [✓ ATTESTED-PRIMARY] The SEC about page documents the commission's role protecting investors in securities markets, structural anchor for custody-gap regulatory safekeeping claims. Source-checked: ATTESTED-PRIMARY · custody sha256 1d0b4093ffbe…, found in primary source

Field read

Settlement Pressure (Φ_S = 0.0000)

Near-zero settlement pressure, this entity is close to field equilibrium.

Custody risk gap pressure is elevated because tokenized treasury and fund products scale on public chains while VERIFY still under-indexes custodian attestations relative to retail belief that safekeeping is solved. The engine reads unrealized Φ_S when custody-gap centrality in findings exceeds vault evidence of qualified-custodian coverage and securities safekeeping rules.

Coherence (κ = 0.0093)

κ = 0.0093 reflects the engine's current measurement coverage, not Gap, Custody Risk's actual institutional influence. With no vault records yet, the coherence score is derived purely from topology position, connection count and structural weight, without any attested observation data. The low value means the engine has not yet measured this entity's settlement activity, not that the entity lacks field presence.

The equilibrium attractor is κ = 1/φ ≈ 0.618. At current κ = 0.0093, Gap, Custody Risk is 0.6087 below equilibrium. Vault observations of Gap, Custody Risk's rule outputs, rulemaking notices, enforcement actions, guidance documents, would directly raise κ toward the living zone [0.618, 0.678].

Vault Coverage

No vault records yet for Gap, Custody Risk. This is a gap in the field coverage. The engine recommends observation as the first action (see below).

Sources

This report is generated by the Eigenstate engine, an information-field measurement system for the tokenized settlement layer. The engine tracks 199 entities (M1 topology denominator) across the regulatory, infrastructure, issuer, and audience layers.

Core equations:

• E = ΔI/A, efficiency: information gained per unit action (Kirandeep's Law)
• G = ∮E·dl, accumulated field circulation along topology paths
• PT → 1/φ, Protocol Truth converges to golden-ratio equilibrium (1/φ ≈ 0.618)
• Φ_S, settlement pain: unrealized settlement pressure per entity
• κ, field coherence: integration of settlement activity across the topology

Published implementation: helixhash v0.1.1, Zenodo DOI 10.5281/zenodo.18413995

Vault: No vault records yet for Gap, Custody Risk in the current cycle, κ and Φ_S here are topology-derived until observations are attested. The field recommends observation as the first action.

Note: Internal topology codenames are not used in public reports. All entity names in this report are public names.