# Doubly-Periodic Vlasov-Poisson Spectral Strang Phase-Space Charge Transcript Replay

> Doubly-Periodic Vlasov-Poisson Spectral Strang Phase-Space Charge Transcript Replay is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).

Replays a complete self-consistent phase-space transport simulation using a doubly-periodic Vlasov-Poisson spectral Strang splitting scheme and returns the resulting electric-field artifact transcript.

## Facts

- Endpoint: POST https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B012/doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-transcript?utm_source=zero.xyz
- Price: $0.003/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-04
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-0fab034f
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_mmRj1m-LhGdmABKFAK6Gn

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-0fab034f -d '<json body>'
```

Example prompt: Replay a doubly-periodic Vlasov-Poisson spectral Strang simulation for me: use a 5x5 initial distribution grid with all values between 0 and 2, spatial spacing of 0.5, velocity spacing of 0.5, timestep of 0.01, and sample at steps 0, 32, and 64 — then return the phase-space charge transcript and electric field artifact.

## When to prefer this

Use this endpoint when you need to replay or verify a specific Vlasov-Poisson kinetic plasma simulation with spectral Strang splitting on a doubly-periodic domain, particularly when you have a pre-claimed artifact to validate or need to reconstruct electric field evolution from an initial distribution function at specific timesteps.

## Known failure modes

- Invalid initial_distribution dimensions (must be 5–9 rows/cols)
- Timestep out of range (must be 0.0001–0.02)
- Spatial or velocity spacing out of range (0.1–2.0)
- Sample step indices exceeding maximum of 64 or more than 3 items
- Claim object mismatch causing artifact validation failure
- Malformed artifact object missing required vlasovPoisson fields
- Payment failure via x402 protocol

## How this service works

Replay a complete self-consistent phase-space transport and electric-field artifact.

## Output

Returns a replay of the complete phase-space transport simulation including the electric field artifact and charge density transcript at the requested sample steps, computed via doubly-periodic spectral Strang splitting of the Vlasov-Poisson system.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "artifact": {
   "type": "object",
   "required": [
    "vlasovPoisson"
   ],
   "properties": {
    "vlasovPoisson": {
     "type": "object",
     "required": [
      "data",
      "claim"
     ],
     "properties": {
      "data": {
       "type": "object",
       "required": [
        "initial_distribution",
        "spatial_spacing",
        "velocity_spacing",
        "timestep",
        "sample_steps"
       ],
       "properties": {
        "timestep": {
         "type": "number",
         "maximum": 0.02,
         "minimum": 0.0001
        },
        "sample_steps": {
         "type": "array",
         "items": {
          "type": "integer",
          "maximum": 64,
          "minimum": 0
         },
         "maxItems": 3,
         "minItems": 1
        },
        "spatial_spacing": {
         "type": "number",
         "maximum": 2,
         "minimum": 0.1
        },
        "velocity_spacing": {
         "type": "number",
         "maximum": 2,
         "minimum": 0.1
        },
        "initial_distribution": {
         "type": "array",
         "items": {
          "type": "array",
          "items": {
           "type": "number",
           "maximum": 10,
           "minimum": 0
          },
          "maxItems": 9,
          "minItems": 5
         },
         "maxItems": 9,
         "minItems": 5
        }
       },
       "additionalProperties": false
      },
      "claim": {}
     },
     "additionalProperties": false
    }
   },
   "additionalProperties": false
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/doubly-periodic-vlasov-poisson-spectral-strang-phase-space-charge-0fab034f/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from detect.halowerk.com](https://www.zero.xyz/host/detect.halowerk.com/llms.txt)