L2 📐 L2-428-001 ⊙ Testnet

Extended Kalman Filter (EKF) — Nominal + Mismatch Specs

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Layer template

⬇ spec.md ⬇ spec.json

Fork L2-428-001

⬇ L2-428-001.md ⬇ L2-428-001.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L2-428-001 (Extended Kalman Filter (EKF) — Nominal + Mismatch Specs) to the PWM Protocol — a Digital Twin (L2) artifact.

I will paste a Markdown template (or the current L2-428-001.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L2-428-001.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

derived from principle L1-428

y = `O.innov.consistency_check` `D.time.explicit` `S.ekf.jacobian_linearization` x + n,    n ~ 𝒩(0, σ²)

world state x (nonlinear state estimate)

→

S · ekf · jacobian linearization `S.ekf.jacobian_linearization`

→

D · time · explicit `D.time.explicit`

→

O · innov · consistency check `O.innov.consistency_check`

→

observation y (N/A detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L2-428-001.md

# 📐 L2 Digital Twin — Extended Kalman Filter (EKF) — Nominal + Mismatch Specs **ID:** `L2-428-001` · **Status:** ⊙ Testnet (genesis catalog) **Parents:** ⬆ Principle [`L1-428`](/artifact/l1/L1-428) > **🎯 Tolerance (ε):** expression > **⚖ Difficulty score:** 0.28 · **Delta tier:** 5 > **⛓ On-chain block:** 41555243 --- ## 1. Domain Ω **Type:** `range` | Parameter | Unit | Range | |---|---|---| | N steps | — | 20 – 5000 | | Q r ratio | — | 0.01 – 100 | | N state dim | — | 2 – 20 | | Nonlinearity degree | — | 0.1 – 3.0 | ## 2. Tolerance (ε) **Type:** `fn` ``` 0.04 + 0.04 * (nonlinearity_degree / 0.5) ** 0.5 ``` ## 3. Difficulty | Property | Value | |---|---| | Difficulty score | 0.28 | | Delta tier | 5 | ## 4. Fingerprint `b83537fd02630126b06ff8d2d85285c5e81d894a05f85c528f776ab985127fd4` ## 5. On-chain Registration - **Chain hash:** `0x4d2327f676e958a53892e5060eb967274f0aff55e34e373d6f92ce815e1a325e` - **Chain tx hash:** `0xa2619911eb38118c3f9fa5f5bd993e9f296e2f99227d7df9e1e9e0a4f3359edc` - **Chain block:** `41555243` --- ## File Mapping This bundle consists of: `L2-428-001.md`, `L2-428-001.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L2-428-001.md` | Source of truth — edit this | Human or LLM | | `L2-428-001.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L2-428-001`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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⌥ Hierarchy

Upstream lineage and downstream children

↑ Upstream

L1 L1-428 Extended Kalman Filter (EKF)

↓ L3 Benchmark 1 child ▾

L3-428-001-001-T1 T1_nominal

⬇ Download bundle

2 files · click to download

📋 JSON metadata

{
  "artifact_id": "L2-428-001",
  "chain_block": 41555243,
  "chain_hash": "0x4d2327f676e958a53892e5060eb967274f0aff55e34e373d6f92ce815e1a325e",
  "chain_tx_hash": "0xa2619911eb38118c3f9fa5f5bd993e9f296e2f99227d7df9e1e9e0a4f3359edc",
  "delta_tier": 5,
  "difficulty_score": 0.28,
  "epsilon": {
    "expression": "0.04 + 0.04 * (nonlinearity_degree / 0.5) ** 0.5",
    "type": "fn"
  },
  "fingerprint": "b83537fd02630126b06ff8d2d85285c5e81d894a05f85c528f776ab985127fd4",
  "layer": "L2",
  "omega": {
    "dims": {
      "N_steps": [
        20,
        5000
      ],
      "Q_R_ratio": [
        0.01,
        100
      ],
      "n_state_dim": [
        2,
        20
      ],
      "nonlinearity_degree": [
        0.1,
        3.0
      ]
    },
    "type": "range"
  },
  "parent_l1": "L1-428",
  "status": "testnet",
  "submitted_by": "mainnet_mirror",
  "title": "Extended Kalman Filter (EKF) \u2014 Nominal + Mismatch Specs"
}

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