# Mythos Substrate Average Relay Chain inclusion time Methodology

## 1. Overview

Average Relay Chain inclusion time is calculated as the average duration between the production of a block on Mythos Substrate and its subsequent inclusion on the Polkadot Relay Chain. This metric represents the consensus and finality latency for the parachain, measuring the efficiency of the validation and backing process within the Polkadot multichain ecosystem. It is used to evaluate the speed at which Mythos Substrate transactions achieve Relay Chain-level security.

## 2. Data sources

- **Blockchain events**: `CandidateIncluded` events from the `paraInclusion` pallet on Polkadot, and block header data from Mythos Substrate
- **External data**: Internal mapping of Polkadot parachain identifiers to Mythos Substrate

## 3. Step-by-step calculation

### Component A: Relay Chain event extraction

- **Purpose**: To identify the exact moment Mythos Substrate block candidates are accepted by the Polkadot Relay Chain.
- **Logic**: `CandidateIncluded` events are parsed from the `paraInclusion` pallet on the Polkadot Relay Chain. The data is filtered to isolate events where the `paraId` matches the identifier for Mythos Substrate. The `paraHead` field is extracted from the event descriptor to identify the hash of the included parachain block.
- **Key fields**: `block_timestamp` (Relay Chain inclusion time), `paraHead` (parachain block hash), `paraId` (parachain identifier).

### Component B: Parachain block matching

- **Purpose**: To correlate Relay Chain inclusion events with the original block production time on the parachain.
- **Logic**: The `paraHead` hash extracted from the Polkadot Relay Chain events is joined with the `block_hash` from the Mythos Substrate block records. This join allows for the retrieval of the original production timestamp for each block.
- **Key fields**: `block_hash`, `timestamp` (parachain production time).

### Component C: Latency calculation and daily aggregation

- **Purpose**: To determine the time difference and compute daily averages.
- **Logic**: For every matched block, the inclusion time is calculated as the difference between the Relay Chain timestamp and the parachain production timestamp in milliseconds. These individual inclusion times are then averaged across all blocks produced and included within a 24-hour UTC window.
- **Key fields**: `relay_chain_timestamp`, `parachain_timestamp`, `relaychain_inclusion_time`.

*This methodology was automatically generated by Token Terminal's methodology analyzer.*

avg(relay_inclusion_timestamp - parachain_block_timestamp)

Average time between parachain block production and Relay Chain inclusion.

Average Relay Chain inclusion time

Blockchains (L1)

Collators aggregate parachain transactions block candidates and producing state transition proofs for validators based on those blocks.

Mythos Substrate

Archived

Average Relay Chain inclusion time

Average Relay Chain inclusion time

Chain breakdown