First-principles signal analysis and domain-aware hardware diagnostics without training data, protocol libraries, or client-side GPUs.
Send a time-series to /api/characterise, or use /api/v1/diagnose for hardware-aware routes including NV diamond, Jaynes-Cummings, topological screening, correlated loss, QEC syndrome, and qubit degradation.
Sparseical routes add sparse-state evidence, hardware capture validation, and repo-side compute artefacts with strict claim boundaries.
Prepend this host to every path below (e.g. /api/characterise, /api/v1/diagnose). Send header X-API-Key on authenticated routes.
Custom ChatGPT with Actions wired to this API — run live phenomenon fixtures, hardware diagnose routes, and qubit polling without uploading large trace files.
Open in ChatGPT →The API accepts raw time-series data — voltage samples, IQ pairs, ADC readings — and returns a structural characterisation of what the signal is doing. It works on radio signals, sensor streams, financial data, or any continuous measurement.
Your data is converted into state-space trajectories. Adaptive thresholding identifies significant state transitions. Unsupervised anomaly gating filters noise. Spike-based coincidence scoring measures structural similarity. Multi-lag autocorrelation captures temporal patterns. Twelve mathematical signature detectors are defined for the product; seven are live in API v1.0 and may appear in phenomena_detected.
The pipeline runs server-side. You receive only the characterisation — classification tags, temporal profile, anomaly level, and any triggered live detectors.
All paths are relative to https://signal.sparse-supernova.com
{"name":"..."})
Sparseical PC Compute Runtime artefacts are repo-side. They do not add live Worker execution routes in API v1.0.
Runnable request — valid JSON below with 128 finite samples. Copy or use Load characterise example in Try It.
POST /api/characterise
X-API-Key: demo-sparse-supernova-2026
Content-Type: application/json
{
"samples": [
0,
0.0747,
0.1478,
0.2175,
0.2823,
0.3408,
0.3917,
0.4337,
0.466,
0.4879,
0.4987,
0.4984,
0.4869,
0.4645,
0.4316,
0.389,
0.3377,
0.2788,
0.2137,
0.1437,
0.0706,
-0.0042,
-0.0789,
-0.1518,
-0.2213,
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-0.3439,
-0.3943,
-0.4358,
-0.4675,
-0.4888,
-0.499,
-0.4981,
-0.486,
-0.4629,
-0.4295,
-0.3864,
-0.3346,
-0.2753,
-0.2099,
-0.1397,
-0.0664,
0.0084,
0.083,
0.1558,
0.225,
0.2892,
0.3469,
0.3968,
0.4378,
0.469,
0.4896,
0.4993,
0.4977,
0.4849,
0.4613,
0.4273,
0.3837,
0.3315,
0.2718,
0.2061,
0.1357,
0.0622,
-0.0126,
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0.0168,
0.0913,
0.1637,
0.2325,
0.296,
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0.4019,
0.4418,
0.4718,
0.4913,
0.4997,
0.4968,
0.4828,
0.458,
0.4229,
0.3783,
0.3251,
0.2647,
0.1984,
0.1276,
0.0539,
-0.021,
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0.0252,
0.0996
],
"config": {
"sample_rate": 44100,
"dim": 64,
"stride": 16,
"trajectory_count": 3
}
}
samples — Array of numbers. Raw voltage, amplitude, IQ magnitude, or any continuous measurement. Minimum 128, maximum 5,000,000.
config — Optional. Defaults work for most signals.
| Field | Description |
|---|---|
characterisation.classification | Array of tags: STRUCTURED, ANTI_CORRELATED, MODULATED, etc. |
characterisation.temporal_profile | CORRELATED, ANTI_CORRELATED, or NEUTRAL |
characterisation.anomaly_level | HIGH, MODERATE, or LOW |
characterisation.confidence | 0.0 – 1.0 classification confidence |
phenomena_detected | Triggered Live / v1.0 detectors only (see status table below); each entry has detector and confidence |
metrics | Raw/anomalous event counts, autocorrelation lags, burst ratio |
processing | Threshold method, trajectory count, processing time |
Response sample for documentation — not a request payload.
Structural domains use /api/characterise internally plus static domain rules. Two domains bypass the embedding for their primary verdict: qubit_degradation uses weighted decay fitting, and qec_syndrome uses direct episode detection for persistent leakage islands.
caveats describing validation basis and limits.
trace[] input.
qubit_degradation and qec_syndrome have different request bodies.
Runnable copy builds a 500-point NV trace in the browser (≥128 required). Use fixture GET for QEC without building syndrome frames.
Click Copy runnable JSON or Load NV diagnose example (500-point trace).
hardware_domain (required) — nv_diamond, jaynes_cummings, topological_screening, qubit_degradation, correlated_loss, qec_syndrome, generic.
trace is required for structural domains only. qubit_degradation uses times, baseline_trace, current_trace, and shots_per_point. qec_syndrome uses syndrome_frames, grid_height, grid_width, and optional rounds / config.window_size. Live minimum: 512 rounds for qec_syndrome (fewer frames return a validation error).
config.prefilter — Optional "ma11" for 11-point moving average before analysis; default "none".
metadata — Optional; echoed in the response for traceability.
| Domain | Use case | Verdicts |
|---|---|---|
nv_diamond |
NV centre FID / ¹³C spin-bath pre-screen | PASS FLAG INDETERMINATE |
jaynes_cummings |
Open-system revival vs Markovian baseline | PASS FLAG INDETERMINATE |
topological_screening |
Rich-encoded sweep; inverted logic (LOW events + LOW anomaly = stable) | PASS FLAG INDETERMINATE |
correlated_loss |
Neutral atom / trapped-ion arrays — organised vs random loss | PASS FLAG INDETERMINATE |
qubit_degradation |
FID weighted decay-fit — baseline vs current (not trace) |
STABLE FLAG_DEGRADATION INDETERMINATE |
qec_syndrome |
Persistent QEC leakage islands (not raw density) | PASS FLAG_LEAKAGE INDETERMINATE |
generic |
Raw characterisation only | INFO |
NV PASS is advisory. It is not diamond certification and not a replacement for DEER spectroscopy. Current validation basis is simulated QuTiP Lindblad traces, not real hardware FID.
| Field | Value |
|---|---|
hardware_domain | nv_diamond |
| Trace length | 500-point FID |
config.prefilter | ma11 |
| Encoding | Single FID amplitude trace |
| Avoid | 2000pt raw/no-ma11 as contamination FLAG route |
| Avoid | Rich 5-feature encoding for this branch |
| Metric | Result |
|---|---|
| PASS / FLAG / INDETERMINATE | 80 / 17 / 3 |
| Pure ¹²C PASS | 60/60 |
| Burst decoy PASS | 20/20 |
| Contaminated FLAG | 14/15 |
| Contaminated false PASS | 0 |
| Overall synthetic sweep accuracy | 99/100 |
| Estimated DEER follow-up reduction | 82.1% |
The qubit_degradation route is not an embedding event-count branch. It fits paired baseline/current FID traces and detects statistically significant T₂/T₂* degradation. Qubit degradation is WORKING under the validated FID/Gaussian T₂* input contract.
Runnable request — 128 paired time points (API minimum for arrays). Copy or use Diagnose: Qubit Degradation in Try It.
POST /api/v1/diagnose
X-API-Key: demo-sparse-supernova-2026
Content-Type: application/json
{
"hardware_domain": "qubit_degradation",
"experiment": "fid",
"times": [
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2
],
"baseline_trace": [
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0.5222,
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],
"current_trace": [
1,
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],
"shots_per_point": 1000,
"metadata": {
"workflow": "qubit_degradation_energy_routing",
"fixture_policy": "paired baseline/current traces with shared noise draw"
}
}
| Metric | Result |
|---|---|
| Probe 05 status | PASS |
| Cases completed | 180 / 180 |
| Stable skip rate | 100% |
| Stable false positive rate | 0% |
| Mild 1000-shot FLAG rate | 100% |
| Medium 400-shot FLAG rate | 100% |
| Heavy 400-shot FLAG rate | 100% |
| Overall degradation FLAG rate | 91.9% |
| Estimated routing-unit saving | 19.3% |
The qec_syndrome branch detects spatiotemporal persistence, not raw syndrome density. High-density random syndrome noise may PASS if defects are nonpersistent. Production requires ≥512 rounds of binary syndrome frames (values 0 or 1). Use 600–900 rounds for chiplet-style demos; the 2-round shape below is illustrative only and will be rejected by the API.
When clients cannot upload large syndrome_frames arrays (e.g. ChatGPT Actions), use server-side fixtures. Claim level: api_level_structural_evidence_only.
| Method | Path | Behaviour |
|---|---|---|
| GET | /api/v1/diagnose/fixture/qec_chiplet_test3 | Canned verified FLAG_LEAKAGE (no body) |
| POST | /api/v1/diagnose/fixture | Body {"name":"qec_chiplet_test3"} — live 9×9×900 run |
| GET | /api/v1/diagnose/fixtures | Fixture catalogue |
| Regime | Route |
|---|---|
| Nonpersistent random syndrome noise | PASS → SKIP_DENSE_DECODE |
| High-density nonpersistent burst decoy | PASS → SKIP_DENSE_DECODE |
| Clustered persistent leakage island | FLAG_LEAKAGE → RUN_DENSE_DECODE_AND_ESCALATE |
| Repeated single-site persistence across PASS windows | RETRY_SHORT_WINDOW |
| Any FLAG_LEAKAGE in a 3-window group | RUN_DENSE_DECODE_AND_ESCALATE |
QEC energy-routing policy (Probe 04 Policy C): 300 scenarios, 900 API calls, 0 API errors; baseline unsafe skip 23.5% → Policy C unsafe skip 0%; false escalation 0%; clustered leakage escalation 100%; retry rate 15.7%; safe policy estimated saving 30.1%. Policy C is client-side aggregation, not a backend model change. Does not claim cryostat/base-power reduction. Energy saving is estimated from routing units.
Response sample for documentation — ellipsis is not valid JSON.
Test /api/characterise or /api/v1/diagnose. Paste JSON with samples, or domain-specific diagnose bodies (not all domains use trace).
The product defines twelve mathematical signatures. Each asks a structural question — not “is this a known protocol?” but “is this signal doing something mathematically unusual?” Seven are live in API v1.0; five are on the roadmap (product direction, not yet returned in phenomena_detected).
confidence is an ordinal score, not a calibrated laboratory probability.
| # | Category | Signature | Structural question | API detector |
Status |
|---|---|---|---|---|---|
| 1 | Physical | Quantum Zeno | Measurement frequency correlates with delayed transitions | quantum_zeno |
Live / v1.0 |
| 2 | Physical | Criticality | Self-organised criticality in event magnitude distribution | criticality |
Live / v1.0 |
| 3 | Physical | Information Backflow | Non-Markovian temporal correlations | information_backflow |
Live / v1.0 |
| 4 | Physical | Fractal Dimension | Chaotic structure in state-space trajectories | — | Roadmap |
| 5 | Physical | Topological Transitions | Phase changes in signal geometry | — | Roadmap |
| 6 | Physical | Penrose OR | Gravity-scale collapse events | penrose_or |
Live / v1.0 |
| 7 | Structural | Weak Values | Anomalous measurement outcomes outside expected bounds | — | Roadmap |
| 8 | Structural | Quantum Darwinism | Environmental redundancy and information copying | quantum_darwinism |
Live / v1.0 |
| 9 | Structural | Retrocausality | Future events correlating with past states | — | Roadmap |
| 10 | Structural | Teleportation Shadow | Cross-channel correlations without direct coupling | teleportation_shadow |
Live / v1.0 |
| 11 | Structural | Simulation Glitches | Quantisation artifacts and periodic patterns | simulation_glitches |
Live / v1.0 |
| 12 | Structural | Cross-observer correlation | Observer-dependent measurement bias | — | Roadmap |
Calculation notes (thresholds, heuristics, pipeline): PHENOMENA_CALCULATIONS.md in the API source repository.
Forbidden claim: This proves a new physical particle.
Sparseical Candidate v0 routes expose sparse-state evidence, canonical packets, gatekeeper/cascade checks, QEC carry, evidence pack summaries, and hardware capture validation. Hardware capture PASS is not proof of a physical particle, hardware quasi-particle, bare-metal compute, or Turing completeness.
| Method | Path |
|---|---|
| GET | /api/v1/sparseical |
| GET | /api/v1/sparseical/status |
| GET | /api/v1/sparseical/evidence-pack |
| POST | /api/v1/sparseical/canonical |
| POST | /api/v1/sparseical/gatekeeper |
| POST | /api/v1/sparseical/cascade |
| POST | /api/v1/sparseical/qec-carry |
| GET | /api/v1/sparseical/hardware/status |
| POST | /api/v1/sparseical/hardware/fixture |
| POST | /api/v1/sparseical/hardware/upload |
| POST | /api/v1/sparseical/hardware/capture |
Probes 11–16 and PC Compute Runtime are repo-side artefacts. They are not live Worker execution routes.
Website / interactive docs: signal.sparse-supernova.com/#api-docs