# State Aggregation ⎊ Area ⎊ Resource 1 --- ## What is the State of State Aggregation? The concept of state aggregation, within cryptocurrency, options, and derivatives, fundamentally concerns the consolidation of granular data points into higher-level representations. This process is crucial for efficient risk management, particularly when dealing with complex, interconnected systems. Effectively, it involves reducing dimensionality while preserving essential information relevant to strategic decision-making, enabling a more tractable analysis of market dynamics. Such aggregation can encompass order book data, transaction histories, or even on-chain activity, depending on the specific application. ## What is the Analysis of State Aggregation? State aggregation facilitates a more streamlined analysis of market behavior, particularly in environments characterized by high-frequency data and intricate relationships. Quantitative models often benefit from reduced complexity, allowing for faster computation and improved interpretability. Techniques like clustering and principal component analysis can be employed to identify dominant patterns and reduce noise, thereby enhancing the accuracy of predictive models. This approach is especially valuable in assessing systemic risk and identifying potential vulnerabilities within the ecosystem. ## What is the Algorithm of State Aggregation? Algorithmic trading strategies frequently leverage state aggregation to optimize execution and manage exposure. By summarizing market conditions into a concise state vector, algorithms can react more quickly and efficiently to changing circumstances. For instance, a volatility trading bot might aggregate historical price data to estimate implied volatility, informing its hedging decisions. The design of these aggregation algorithms requires careful consideration to avoid information loss and ensure the resulting state accurately reflects the underlying market dynamics. --- ## [Risk Aggregation](https://term.greeks.live/definition/risk-aggregation/) The process of combining individual position risks into a single, comprehensive view of total portfolio exposure. ⎊ Definition ## [Liquidity Aggregation](https://term.greeks.live/definition/liquidity-aggregation/) A tool that pools liquidity from various sources to offer users the best possible price for their trades. ⎊ Definition ## [Data Aggregation](https://term.greeks.live/definition/data-aggregation/) Combining multiple independent data sources to create a robust and manipulation-resistant price feed. ⎊ Definition ## [Off-Chain Data Aggregation](https://term.greeks.live/definition/off-chain-data-aggregation/) Processing and combining external data before submitting it to the blockchain for on-chain use. ⎊ Definition ## [Price Feed Aggregation](https://term.greeks.live/definition/price-feed-aggregation/) Combining multiple data sources to create a single, stable, and accurate price reference for smart contracts. ⎊ Definition ## [Cross Chain Risk Aggregation](https://term.greeks.live/term/cross-chain-risk-aggregation/) Meaning ⎊ Cross Chain Risk Aggregation calculates systemic risk by modeling collateral and positions across multiple chains to ensure protocol solvency. ⎊ Definition ## [Data Source Aggregation](https://term.greeks.live/definition/data-source-aggregation/) Combining multiple data inputs to create a reliable, consensus-based price or value. ⎊ Definition ## [Data Aggregation Methodology](https://term.greeks.live/term/data-aggregation-methodology/) Meaning ⎊ Data aggregation methodology synthesizes disparate market data to establish a single source of truth for pricing and settling crypto options contracts. ⎊ Definition ## [Cross-Protocol Risk Aggregation](https://term.greeks.live/term/cross-protocol-risk-aggregation/) Meaning ⎊ Cross-Protocol Risk Aggregation quantifies systemic vulnerabilities in decentralized finance by analyzing the interconnected dependencies between protocols to prevent cascading failures. ⎊ Definition ## [On-Chain Data Aggregation](https://term.greeks.live/definition/on-chain-data-aggregation/) The practice of calculating and summarizing information directly on the blockchain to maintain data integrity and trust. ⎊ Definition ## [State Transitions](https://term.greeks.live/term/state-transitions/) Meaning ⎊ State transitions in crypto options define the programmatic logic governing contract lifecycles, replacing traditional clearinghouse functions with deterministic smart contract execution for risk management. ⎊ Definition ## [State Transition](https://term.greeks.live/definition/state-transition/) Process of moving a contract from one valid data state to another via transaction execution. ⎊ Definition ## [Rollup State Transition Proofs](https://term.greeks.live/term/rollup-state-transition-proofs/) Meaning ⎊ Rollup state transition proofs provide the cryptographic and economic mechanisms that enable high-speed, secure, and capital-efficient decentralized derivatives markets by guaranteeing L2 state integrity. ⎊ Definition ## [Yield Aggregation](https://term.greeks.live/definition/yield-aggregation/) Automated platforms that pool assets across protocols to maximize yields through compounding and strategic allocation. ⎊ Definition ## [Data Aggregation Methods](https://term.greeks.live/term/data-aggregation-methods/) Meaning ⎊ Data aggregation methods synthesize fragmented market data into reliable price feeds for decentralized options protocols, ensuring accurate pricing and secure risk management. ⎊ Definition ## [Inter-Chain State Dependency](https://term.greeks.live/term/inter-chain-state-dependency/) Meaning ⎊ Inter-Chain State Dependency defines the structural risk of derivative contracts relying on data from separate blockchains, necessitating new models for pricing latency and contagion. ⎊ Definition ## [Private State Transitions](https://term.greeks.live/term/private-state-transitions/) Meaning ⎊ Private state transitions are cryptographic mechanisms enabling confidential execution of options trades to mitigate front-running and improve market efficiency. ⎊ Definition ## [Data Aggregation Verification](https://term.greeks.live/term/data-aggregation-verification/) Meaning ⎊ Verifiable Price Feed Integrity ensures decentralized options protocols maintain accurate collateralization and settlement calculations by aggregating and validating external data feeds against manipulation. ⎊ Definition ## [State Changes](https://term.greeks.live/term/state-changes/) Meaning ⎊ State changes in crypto options represent a shift in protocol physics that introduces discontinuous risk, challenging traditional pricing models and necessitating new risk management frameworks. ⎊ Definition ## [ZK-Rollup State Transitions](https://term.greeks.live/term/zk-rollup-state-transitions/) Meaning ⎊ ZK-Rollup state transitions provide immediate, mathematically verifiable finality for off-chain computations, fundamentally altering capital efficiency and risk management for decentralized derivative markets. ⎊ Definition ## [Data Aggregation Networks](https://term.greeks.live/term/data-aggregation-networks/) Meaning ⎊ Data Aggregation Networks consolidate fragmented market data to provide reliable inputs for calculating volatility surfaces and managing risk in decentralized crypto options protocols. ⎊ Definition ## [State Machine Coordination](https://term.greeks.live/term/state-machine-coordination/) Meaning ⎊ State Machine Coordination is the deterministic algorithmic framework that governs risk, collateral, and liquidation state transitions within decentralized crypto options protocols. ⎊ Definition ## [Data Aggregation Methodologies](https://term.greeks.live/definition/data-aggregation-methodologies/) Statistical techniques for combining multiple price sources into a single, reliable value while filtering out market noise. ⎊ Definition ## [Verifiable State Transitions](https://term.greeks.live/term/verifiable-state-transitions/) Meaning ⎊ Verifiable State Transitions ensure the integrity of decentralized options by providing cryptographic proof that all changes in contract state are accurate and transparent. ⎊ Definition ## [Real-Time Collateral Aggregation](https://term.greeks.live/term/real-time-collateral-aggregation/) Meaning ⎊ Real-Time Collateral Aggregation unifies fragmented collateral across multiple protocols to optimize capital efficiency and mitigate systemic risk through continuous portfolio-level risk assessment. ⎊ Definition ## [Real-Time State Monitoring](https://term.greeks.live/term/real-time-state-monitoring/) Meaning ⎊ Real-Time State Monitoring provides continuous, low-latency analysis of all relevant on-chain and off-chain data points necessary to accurately calculate a protocol's risk exposure and individual position health in decentralized options markets. ⎊ Definition ## [State Machine Analysis](https://term.greeks.live/term/state-machine-analysis/) Meaning ⎊ State machine analysis models the lifecycle of a crypto options contract as a deterministic sequence of transitions to ensure financial integrity and manage risk without central authority. ⎊ Definition ## [Blockchain State Machine](https://term.greeks.live/term/blockchain-state-machine/) Meaning ⎊ Decentralized options protocols are smart contract state machines that enable non-custodial risk transfer through transparent collateralization and algorithmic pricing. ⎊ Definition ## [Interoperable State Machines](https://term.greeks.live/term/interoperable-state-machines/) Meaning ⎊ Interoperable State Machines unify fragmented liquidity and collateral across multiple blockchains, enabling capital-efficient decentralized options markets. ⎊ Definition ## [State Bloat Problem](https://term.greeks.live/term/state-bloat-problem/) Meaning ⎊ State Bloat Problem describes the increasing data load from on-chain derivatives, threatening decentralization by making full node operation computationally expensive. ⎊ Definition --- ## Raw Schema Data ```json { "@context": "https://schema.org", "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://term.greeks.live/" }, { "@type": "ListItem", "position": 2, "name": "Area", "item": "https://term.greeks.live/area/" }, { "@type": "ListItem", "position": 3, "name": "State Aggregation", "item": "https://term.greeks.live/area/state-aggregation/" }, { "@type": "ListItem", "position": 4, "name": "Resource 1", "item": "https://term.greeks.live/area/state-aggregation/resource/1/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the State of State Aggregation?", "acceptedAnswer": { "@type": "Answer", "text": "The concept of state aggregation, within cryptocurrency, options, and derivatives, fundamentally concerns the consolidation of granular data points into higher-level representations. 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The contrast between these two elements is central to the image composition." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/private-state-transitions/", "url": "https://term.greeks.live/term/private-state-transitions/", "headline": "Private State Transitions", "description": "Meaning ⎊ Private state transitions are cryptographic mechanisms enabling confidential execution of options trades to mitigate front-running and improve market efficiency. ⎊ Definition", "datePublished": "2025-12-20T10:06:55+00:00", "dateModified": "2025-12-20T10:06:55+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-protocol-interoperability-architecture-facilitating-cross-chain-atomic-swaps-between-distinct-layer-1-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "The image displays a detailed cross-section of two high-tech cylindrical components separating against a dark blue background. The separation reveals a central coiled spring mechanism and inner green components that connect the two sections." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-aggregation-verification/", "url": "https://term.greeks.live/term/data-aggregation-verification/", "headline": "Data Aggregation Verification", "description": "Meaning ⎊ Verifiable Price Feed Integrity ensures decentralized options protocols maintain accurate collateralization and settlement calculations by aggregating and validating external data feeds against manipulation. ⎊ Definition", "datePublished": "2025-12-20T10:17:24+00:00", "dateModified": "2025-12-20T10:17:24+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/asymmetric-data-aggregation-node-for-decentralized-autonomous-option-protocol-risk-surveillance.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a stylized, high-tech object with smooth, matte blue surfaces and prominent circular inputs, one bright blue and one bright green, resembling asymmetric sensors. The object is framed against a dark blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/state-changes/", "url": "https://term.greeks.live/term/state-changes/", "headline": "State Changes", "description": "Meaning ⎊ State changes in crypto options represent a shift in protocol physics that introduces discontinuous risk, challenging traditional pricing models and necessitating new risk management frameworks. ⎊ Definition", "datePublished": "2025-12-20T10:41:22+00:00", "dateModified": "2026-01-04T18:32:25+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/algorithmic-interoperability-and-dynamic-risk-management-in-decentralized-finance-derivatives-protocols.jpg", "width": 3850, "height": 2166, "caption": "A macro view details a sophisticated mechanical linkage, featuring dark-toned components and a glowing green element. The intricate design symbolizes the core architecture of decentralized finance DeFi protocols, specifically focusing on options trading and financial derivatives." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zk-rollup-state-transitions/", "url": "https://term.greeks.live/term/zk-rollup-state-transitions/", "headline": "ZK-Rollup State Transitions", "description": "Meaning ⎊ ZK-Rollup state transitions provide immediate, mathematically verifiable finality for off-chain computations, fundamentally altering capital efficiency and risk management for decentralized derivative markets. ⎊ Definition", "datePublished": "2025-12-20T11:10:01+00:00", "dateModified": "2025-12-20T11:10:01+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/decentralized-finance-architecture-visualizing-automated-market-maker-interoperability-and-derivative-pricing-mechanisms.jpg", "width": 3850, "height": 2166, "caption": "An abstract 3D render displays a complex, stylized object composed of interconnected geometric forms. The structure transitions from sharp, layered blue elements to a prominent, glossy green ring, with off-white components integrated into the blue section." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-aggregation-networks/", "url": "https://term.greeks.live/term/data-aggregation-networks/", "headline": "Data Aggregation Networks", "description": "Meaning ⎊ Data Aggregation Networks consolidate fragmented market data to provide reliable inputs for calculating volatility surfaces and managing risk in decentralized crypto options protocols. ⎊ Definition", "datePublished": "2025-12-20T20:18:29+00:00", "dateModified": "2025-12-20T20:18:29+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/layer-2-scaling-solutions-and-collateralized-interoperability-in-derivative-protocols.jpg", "width": 3850, "height": 2166, "caption": "A 3D rendered abstract structure consisting of interconnected segments in navy blue, teal, green, and off-white. The segments form a flexible, curving chain against a dark background, highlighting layered connections." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/state-machine-coordination/", "url": "https://term.greeks.live/term/state-machine-coordination/", "headline": "State Machine Coordination", "description": "Meaning ⎊ State Machine Coordination is the deterministic algorithmic framework that governs risk, collateral, and liquidation state transitions within decentralized crypto options protocols. ⎊ Definition", "datePublished": "2025-12-21T09:22:48+00:00", "dateModified": "2025-12-21T09:22:48+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/unfolding-complex-derivative-mechanisms-for-precise-risk-management-in-decentralized-finance-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "A highly detailed, stylized mechanism, reminiscent of an armored insect, unfolds from a dark blue spherical protective shell. The creature displays iridescent metallic green and blue segments on its carapace, with intricate black limbs and components extending from within the structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/data-aggregation-methodologies/", "url": "https://term.greeks.live/definition/data-aggregation-methodologies/", "headline": "Data Aggregation Methodologies", "description": "Statistical techniques for combining multiple price sources into a single, reliable value while filtering out market noise. ⎊ Definition", "datePublished": "2025-12-21T10:29:51+00:00", "dateModified": "2026-03-27T04:28:04+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/automated-options-protocol-and-structured-financial-products-architecture-for-liquidity-aggregation-and-yield-generation.jpg", "width": 3850, "height": 2166, "caption": "A futuristic, multi-layered component shown in close-up, featuring dark blue, white, and bright green elements. The flowing, stylized design highlights inner mechanisms and a digital light glow." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/verifiable-state-transitions/", "url": "https://term.greeks.live/term/verifiable-state-transitions/", "headline": "Verifiable State Transitions", "description": "Meaning ⎊ Verifiable State Transitions ensure the integrity of decentralized options by providing cryptographic proof that all changes in contract state are accurate and transparent. ⎊ Definition", "datePublished": "2025-12-21T17:33:33+00:00", "dateModified": "2025-12-21T17:33:33+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/quantifying-volatility-cascades-in-cryptocurrency-derivatives-leveraging-implied-volatility-analysis.jpg", "width": 3850, "height": 2166, "caption": "A smooth, continuous helical form transitions in color from off-white through deep blue to vibrant green against a dark background. The glossy surface reflects light, emphasizing its dynamic contours as it twists." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/real-time-collateral-aggregation/", "url": "https://term.greeks.live/term/real-time-collateral-aggregation/", "headline": "Real-Time Collateral Aggregation", "description": "Meaning ⎊ Real-Time Collateral Aggregation unifies fragmented collateral across multiple protocols to optimize capital efficiency and mitigate systemic risk through continuous portfolio-level risk assessment. ⎊ Definition", "datePublished": "2025-12-22T08:25:53+00:00", "dateModified": "2025-12-22T08:25:53+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/asymmetric-data-aggregation-node-for-decentralized-autonomous-option-protocol-risk-surveillance.jpg", "width": 3850, "height": 2166, "caption": "A close-up view shows a stylized, high-tech object with smooth, matte blue surfaces and prominent circular inputs, one bright blue and one bright green, resembling asymmetric sensors. The object is framed against a dark blue background." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/real-time-state-monitoring/", "url": "https://term.greeks.live/term/real-time-state-monitoring/", "headline": "Real-Time State Monitoring", "description": "Meaning ⎊ Real-Time State Monitoring provides continuous, low-latency analysis of all relevant on-chain and off-chain data points necessary to accurately calculate a protocol's risk exposure and individual position health in decentralized options markets. ⎊ Definition", "datePublished": "2025-12-22T08:33:19+00:00", "dateModified": "2025-12-22T08:33:19+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/layered-protocol-governance-sentinel-model-for-decentralized-finance-risk-mitigation-and-automated-market-making.jpg", "width": 3850, "height": 2166, "caption": "A high-tech, geometric object featuring multiple layers of blue, green, and cream-colored components is displayed against a dark background. The central part of the object contains a lens-like feature with a bright, luminous green circle, suggesting an advanced monitoring device or sensor." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/state-machine-analysis/", "url": "https://term.greeks.live/term/state-machine-analysis/", "headline": "State Machine Analysis", "description": "Meaning ⎊ State machine analysis models the lifecycle of a crypto options contract as a deterministic sequence of transitions to ensure financial integrity and manage risk without central authority. ⎊ Definition", "datePublished": "2025-12-22T08:48:18+00:00", "dateModified": "2026-01-04T19:38:13+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/dynamic-visualization-of-options-contract-state-transition-in-the-money-versus-out-the-money-derivatives-pricing.jpg", "width": 3850, "height": 2166, "caption": "A dark, sleek, futuristic object features two embedded spheres: a prominent, brightly illuminated green sphere and a less illuminated, recessed blue sphere. The contrast between these two elements is central to the image composition." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/blockchain-state-machine/", "url": "https://term.greeks.live/term/blockchain-state-machine/", "headline": "Blockchain State Machine", "description": "Meaning ⎊ Decentralized options protocols are smart contract state machines that enable non-custodial risk transfer through transparent collateralization and algorithmic pricing. ⎊ Definition", "datePublished": "2025-12-22T08:50:30+00:00", "dateModified": "2025-12-22T08:50:30+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/unfolding-complex-derivative-mechanisms-for-precise-risk-management-in-decentralized-finance-ecosystems.jpg", "width": 3850, "height": 2166, "caption": "A highly detailed, stylized mechanism, reminiscent of an armored insect, unfolds from a dark blue spherical protective shell. The creature displays iridescent metallic green and blue segments on its carapace, with intricate black limbs and components extending from within the structure." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/interoperable-state-machines/", "url": "https://term.greeks.live/term/interoperable-state-machines/", "headline": "Interoperable State Machines", "description": "Meaning ⎊ Interoperable State Machines unify fragmented liquidity and collateral across multiple blockchains, enabling capital-efficient decentralized options markets. ⎊ Definition", "datePublished": "2025-12-22T09:00:09+00:00", "dateModified": "2026-01-04T19:42:22+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/interconnected-financial-derivatives-framework-illustrating-cross-chain-liquidity-provision-and-collateralization-mechanisms-via-smart-contract-execution.jpg", "width": 3850, "height": 2166, "caption": "A close-up view of a high-tech mechanical joint features vibrant green interlocking links supported by bright blue cylindrical bearings within a dark blue casing. The components are meticulously designed to move together, suggesting a complex articulation system." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/state-bloat-problem/", "url": "https://term.greeks.live/term/state-bloat-problem/", "headline": "State Bloat Problem", "description": "Meaning ⎊ State Bloat Problem describes the increasing data load from on-chain derivatives, threatening decentralization by making full node operation computationally expensive. ⎊ Definition", "datePublished": "2025-12-22T09:02:10+00:00", "dateModified": "2025-12-22T09:02:10+00:00", "author": { "@type": "Person", "name": "Greeks.live", "url": "https://term.greeks.live/author/greeks-live/" }, "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/advanced-collateralization-and-cryptographic-security-protocols-in-smart-contract-options-derivatives-trading.jpg", "width": 3850, "height": 2166, "caption": "A high-tech stylized padlock, featuring a deep blue body and metallic shackle, symbolizes digital asset security and collateralization processes. A glowing green ring around the primary keyhole indicates an active state, representing a verified and secure protocol for asset access." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/asymmetric-data-aggregation-node-for-decentralized-autonomous-option-protocol-risk-surveillance.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/state-aggregation/resource/1/