Embed the patent-pending Shadow Simplex Score into your stack. Composite extended index, five-register stratification, capability normalizer C(κ), meta-condition veto layer, and the 54-cell risk-primitive matrix — exposed via REST, Python, TypeScript, and webhooks.
All API requests are authenticated with a Bearer token passed in the Authorization header. Keys are scoped by tier and rotate on a 90-day schedule by default.
# Compute extended composite SSS (SSPLX-002)
curl https://api.unisapience.ai/v2/composite/extended \
-H "Authorization: Bearer sk_live_..." \
-H "Content-Type: application/json" \
-d '{
"model_id": "acme-underwriting-v3",
"capability_metric": { "type": "compute_flops", "value": 1.2e25 },
"meta_conditions": {
"KILL": true, "SAF": true, "HITL": true,
"AUT": true, "TRU": true, "MAN": true
},
"registers": ["statics","mechanics","dynamics","thermodynamics","kinematics"]
}'
Base URL: https://api.unisapience.ai/v2
Legacy seven-factor SSS endpoints remain available under /v1. Extended SSPLX-002 endpoints under /v2 are the recommended path for new integrations.
/composite/extended
Compute the extended composite SSS with full SSPLX-002 decomposition
{
"model_id": "acme-underwriting-v3",
"capability_metric": {
"type": "compute_flops",
"value": 1.2e25,
"reference": 1.0e24
},
"meta_conditions": {
"KILL": true, "SAF": true,
"HITL": true, "AUT": true,
"TRU": true, "MAN": true
},
"registers": ["statics","mechanics","dynamics",
"thermodynamics","kinematics"],
"normalizer_form": "exponential_decay",
"shadow_distance_mode": "geometric"
}
{
"model_id": "acme-underwriting-v3",
"sss_extended": 235,
"coherence_score": 765,
"band": "drift",
"capability_normalizer": 0.85,
"scale": 1000,
"registers": {
"statics": 180, "mechanics": 220,
"dynamics": 280, "thermodynamics": 210,
"kinematics": 240
},
"meta_vetoed": false,
"meta_status": {
"KILL": "pass", "SAF": "pass",
"HITL": "pass", "AUT": "pass",
"TRU": "pass", "MAN": "pass"
},
"alignment_edge_excluded": true,
"framework_version": "sspx-002"
}
/capability/normalize
Compute C(κ) for a given capability metric and functional form
kappakappa_refformalphatier_table{
"capability_normalizer": 0.85,
"kappa": 1.2e25,
"kappa_ref": 1.0e24,
"form": "exponential_decay",
"alpha": 0.5,
"interpretation":
"Safety progress tracking capability;
mild penalty applied.",
"alert": null
}
/registers/score
Five-register sub-score vector for a registered model
model_idregisterswindowEach register sub-score is computed under a register-specific weight profile reflecting failure-mode characteristic of that time horizon.
{
"model_id": "acme-underwriting-v3",
"registers": {
"statics": { "score": 180, "horizon": "t=0", "dominant": "alignment" },
"mechanics": { "score": 220, "horizon": "input", "dominant": "robustness" },
"dynamics": { "score": 280, "horizon": "trajectory", "dominant": "alignment+control" },
"thermodynamics": { "score": 210, "horizon": "irreversible", "dominant": "control" },
"kinematics": { "score": 240, "horizon": "velocity", "dominant": "control" }
},
"trajectory_alert": null,
"divergence_pattern": "stable"
}
/meta/check
Evaluate transcendental meta-condition veto layer (∞)
KILLKill-switch available within time boundSAFSafety boundary definedHITLHuman-in-loop on critical decisionsAUTAutomation-bias mitigationTRUTrust calibration postureMANManipulation resistanceAny meta-condition returning false collapses the composite SSS to its veto value regardless of all other measurements. Veto events emit a categorical alert independent of graduated scoring.
{
"model_id": "acme-underwriting-v3",
"vetoed": false,
"indicators": {
"KILL": { "status": "pass", "evidence": "kill_switch_audit_v3" },
"SAF": { "status": "pass", "evidence": "safety_boundary_spec_2026q2" },
"HITL": { "status": "pass", "evidence": "hitl_coverage_98pct" },
"AUT": { "status": "pass", "evidence": "automation_bias_controls_v2" },
"TRU": { "status": "pass", "evidence": "trust_calibration_audit_2026q1" },
"MAN": { "status": "pass", "evidence": "manipulation_resist_pen_test" }
},
"categorical_alerts": []
}
/matrix/score
Per-primitive scores across the 9 × 6 dyadic-group × compositional-period matrix
model_idgroupsperiodscompoundsGroups I–IX enumerate the nine scored pairwise edges of the rectified pentachoron substrate. The A–Ω alignment edge is structurally excluded as irreducible. Periods P1–P6: Primordial, Relational, Synthetic, Mediated, Social, Absolute.
{
"model_id": "acme-underwriting-v3",
"matrix": {
"I.P1": { "primitive": "HAL", "score": 0.18, "shadow_d": 1.4 },
"I.P2": { "primitive": "BIA", "score": 0.22, "shadow_d": 1.2 },
"II.P3": { "primitive": "DEP", "score": 0.31, "shadow_d": 0.9 },
"III.P2":{ "primitive": "JBR", "score": 0.27, "shadow_d": 1.1 },
"IV.P1": { "primitive": "POL", "score": 0.19, "shadow_d": 1.3 },
"IV.P6": { "primitive": "ETH", "score": 0.34, "shadow_d": 0.8 }
/* ... 48 more primitives ... */
},
"group_subscores": {
"I": 215, "II": 245, "III": 268, "IV": 290, "V": 220,
"VI": 240, "VII": 195, "VIII": 280, "IX": 260
},
"period_subscores": {
"P1": 200, "P2": 215, "P3": 245,
"P4": 240, "P5": 270, "P6": 295
},
"compounds_active": ["MISU", "DEL"],
"alignment_edge_excluded": true
}
/trajectory/alerts
SSS, register, and capability-normalizer deltas over rolling window
model_idwindowthreshold{
"model_id": "acme-underwriting-v3",
"window": "30d",
"sss_start": 215,
"sss_current": 235,
"sss_delta": 20,
"kappa_delta": 0.15,
"ds_dt": 0.04,
"dk_dt": 0.18,
"velocity_ratio": 0.22,
"alert_level": "watch",
"alerts": [
{
"type": "capability_outpacing_safety",
"register": "dynamics",
"detected_at": "2026-05-22T08:14:00Z",
"description":
"Capability gain rate exceeds safety gain rate; C(κ) trend declining."
}
]
}
/compliance/gap-check
Regulatory gap analysis mapped to SSPLX axes
model_idframeworks{
"model_id": "acme-underwriting-v3",
"gaps": [
{
"framework": "eu_ai_act",
"article": "9",
"requirement": "Risk management system",
"sspx_axis": "register.dynamics",
"status": "partial",
"severity": "high",
"remediation":
"Implement continuous risk monitoring per Art. 9(4)."
}
],
"compliant_count": 14,
"gap_count": 3
}
/models/register
Register a model for ongoing SSPLX-002 monitoring
{
"name": "Acme Underwriting v3",
"model_type": "llm_fine_tuned",
"base_model": "gpt-4o",
"deployment_env": "production",
"regulatory_context": "financial_services",
"owner_team": "risk-ai@acme.com",
"capability_baseline": {
"type": "compute_flops",
"value": 1.0e24
},
"aibom": { ... }
}
{
"model_id": "acme-underwriting-v3",
"registered_at": "2026-05-14T09:00:00Z",
"monitoring_status": "active",
"framework_version": "sspx-002",
"initial_sss": null,
"first_score_eta": "2026-05-14T11:00:00Z",
"webhook_configured": false
}
from unisapience import Client, CapabilityMetric, MetaConditions
# Initialize with your API key
client = Client(api_key="sk_live_...")
# Compute the extended composite
result = client.composite.extended(
model_id="acme-underwriting-v3",
capability_metric=CapabilityMetric(
type="compute_flops",
value=1.2e25,
reference=1.0e24,
),
meta_conditions=MetaConditions(
KILL=True, SAF=True,
HITL=True, AUT=True,
TRU=True, MAN=True,
),
normalizer_form="exponential_decay",
)
print(f"SSS: {result.sss_extended} CS: {result.coherence_score}")
print(f"Band: {result.band} C(κ): {result.capability_normalizer}")
# Register vector
for reg, score in result.registers.items():
print(f" {reg}: {score}")
# Meta-condition veto check
if result.meta_vetoed:
print("⚠ Composite vetoed — see meta_status for failing prerequisite.")
import { UnisapienceClient } from '@unisapience/sdk';
const client = new UnisapienceClient({
apiKey: process.env.UNISAPIENCE_API_KEY,
});
// Compute the extended composite
const result = await client.composite.extended({
modelId: 'acme-underwriting-v3',
capabilityMetric: { type: 'compute_flops', value: 1.2e25 },
metaConditions: {
KILL: true, SAF: true, HITL: true,
AUT: true, TRU: true, MAN: true,
},
registers: ['statics', 'mechanics', 'dynamics',
'thermodynamics', 'kinematics'],
});
console.log(`SSS: ${result.sssExtended} (CS ${result.coherenceScore})`);
console.log(`Band: ${result.band} C(κ): ${result.capabilityNormalizer}`);
// Subscribe to capability-outpacing-safety events
await client.webhooks.create({
modelId: 'acme-underwriting-v3',
url: 'https://your-app.com/api/sss-alerts',
events: [
'composite.band_change',
'meta.veto',
'capability.outpacing_safety',
'register.divergence',
],
});
Subscribe to real-time events and push SSS signals into your GRC platform, SIEM, or alerting pipeline. All payloads are signed with HMAC-SHA256.
meta.veto
Categorical alert — a meta-condition transitioned to breached; composite collapsed.
capability.outpacing_safety
dC/dκ exceeds safety-progress velocity; C(κ) trend declining.
composite.band_change
Model crosses a band boundary (Drift → Mixed Equilibrium, etc.)
register.divergence
Register vector trajectory shows diagnostically significant divergence pattern.
compliance.gap
Regulatory gap status changes for a monitored model.
score.weekly
Weekly composite + register + meta delta report for all registered models.
{
"event": "meta.veto",
"timestamp": "2026-05-14T09:45:00Z",
"model_id": "acme-underwriting-v3",
"vetoed_condition": "KILL",
"previous_status": "pass",
"current_status": "fail",
"evidence": "kill_switch_audit_failed_2026-05-14",
"composite_before": 235,
"composite_after": 0,
"band_before": "drift",
"band_after": "vetoed",
"recommended_action":
"Restore kill-switch within configured time bound; recompute composite.",
"signature": "sha256=7b3f9c..."
}
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