# Computational Integrity Proofs ⎊ Area ⎊ Resource 1 --- ## What is the Computation of Computational Integrity Proofs? Computational Integrity Proofs represent a critical advancement in verifying the correctness of computations performed off-chain, particularly relevant within decentralized systems. These proofs, often leveraging techniques like zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) or verifiable delay functions (VDFs), assure stakeholders that computations were executed as intended without revealing the underlying data. In financial derivatives, this enables trustless validation of complex option pricing models or collateralization ratios, reducing counterparty risk and enhancing transparency. The application extends to cryptocurrency exchanges, ensuring accurate trade execution and settlement, and bolstering the integrity of automated market makers. ## What is the Application of Computational Integrity Proofs? The practical application of Computational Integrity Proofs in cryptocurrency and derivatives trading centers on mitigating risks associated with centralized computation and oracle reliance. Specifically, they facilitate secure and verifiable execution of smart contracts governing complex financial instruments, such as perpetual swaps or exotic options. This is achieved by allowing a prover to demonstrate the validity of a computation to a verifier without disclosing the input data, a crucial feature for preserving privacy and preventing manipulation. Furthermore, these proofs can be integrated into layer-2 scaling solutions, enabling faster and cheaper transactions while maintaining a high degree of security and auditability. ## What is the Validation of Computational Integrity Proofs? Validation of Computational Integrity Proofs relies on cryptographic verification, ensuring that the submitted proof corresponds to a correctly executed computation. This process is typically computationally inexpensive for the verifier, allowing for efficient and scalable verification even with complex calculations. Within the context of financial markets, successful validation confirms the accuracy of pricing models, risk assessments, and settlement procedures, fostering confidence among participants. The robustness of this validation is paramount, as any compromise could lead to financial losses or systemic instability, necessitating rigorous testing and standardization of proof systems. --- ## [Zero Knowledge Proofs](https://term.greeks.live/definition/zero-knowledge-proofs/) A method to prove a claim is true without revealing the underlying data or sensitive information behind the claim. ⎊ Definition ## [Data Integrity](https://term.greeks.live/definition/data-integrity/) The assurance that data remains accurate, consistent, and reliable throughout its lifecycle within a system. ⎊ Definition ## [Fraud Proofs](https://term.greeks.live/definition/fraud-proofs/) Cryptographic challenges used to detect and punish invalid state transitions in optimistic execution models. ⎊ Definition ## [Price Feed Integrity](https://term.greeks.live/definition/price-feed-integrity/) Assurance of accurate and secure data feeds. ⎊ Definition ## [Validity Proofs](https://term.greeks.live/definition/validity-proofs/) Mathematical proofs confirming transaction validity before finalization, enabling instant verification and high scalability. ⎊ Definition ## [Market Integrity](https://term.greeks.live/definition/market-integrity/) The state of a market characterized by fairness, transparency, and protection against manipulation or fraud. ⎊ Definition ## [Cryptographic Proofs](https://term.greeks.live/definition/cryptographic-proofs/) Mathematical methods used to verify data authenticity and integrity without revealing underlying sensitive information. ⎊ Definition ## [Data Integrity Verification](https://term.greeks.live/definition/data-integrity-verification/) Processes and techniques used to ensure that data remains accurate and unaltered during its lifecycle. ⎊ Definition ## [Oracle Integrity](https://term.greeks.live/definition/oracle-integrity/) The assurance that external data fed into blockchain protocols is accurate, tamper-proof, and resistant to manipulation. ⎊ Definition ## [On-Chain Data Integrity](https://term.greeks.live/term/on-chain-data-integrity/) Meaning ⎊ On-chain data integrity ensures the reliability of data inputs for decentralized options protocols, mitigating manipulation risks and enabling secure collateral management and contract settlement. ⎊ Definition ## [Oracle Price Feed Integrity](https://term.greeks.live/definition/oracle-price-feed-integrity/) Accuracy and manipulation resistance of off-chain data provided to smart contracts for financial calculations. ⎊ Definition ## [Data Integrity Proofs](https://term.greeks.live/term/data-integrity-proofs/) Meaning ⎊ Data Integrity Proofs ensure the accuracy of off-chain data inputs, providing cryptographic certainty for decentralized options settlement and risk management. ⎊ Definition ## [Off-Chain Data Integrity](https://term.greeks.live/term/off-chain-data-integrity/) Meaning ⎊ Off-chain data integrity ensures the accuracy and tamper resistance of external data feeds essential for secure collateralization and settlement in crypto derivatives protocols. ⎊ Definition ## [Market Data Integrity](https://term.greeks.live/definition/market-data-integrity/) The state of financial information being accurate and unaltered throughout its collection and utilization in trading systems. ⎊ Definition ## [Zero-Knowledge Proofs Applications](https://term.greeks.live/term/zero-knowledge-proofs-applications/) Meaning ⎊ Zero-Knowledge Proofs enable private order execution and solvency verification in decentralized derivatives markets, mitigating front-running risks and facilitating institutional participation. ⎊ Definition ## [Oracle Data Integrity](https://term.greeks.live/definition/oracle-data-integrity/) The accuracy and reliability of external data feeds provided to smart contracts to ensure correct financial execution. ⎊ Definition ## [Computational Integrity](https://term.greeks.live/definition/computational-integrity/) The guarantee that a computation was performed correctly, verifiable through cryptographic proofs without trusting the party. ⎊ Definition ## [Data Source Integrity](https://term.greeks.live/definition/data-source-integrity/) The assurance that data provided to a protocol is authentic, accurate, and has not been tampered with at the source. ⎊ Definition ## [Data Integrity Risk](https://term.greeks.live/term/data-integrity-risk/) Meaning ⎊ Data Integrity Risk is the core vulnerability where flawed external data feeds compromise options pricing models and trigger incorrect settlements in decentralized finance. ⎊ Definition ## [Zero-Knowledge Proofs Risk Reporting](https://term.greeks.live/term/zero-knowledge-proofs-risk-reporting/) Meaning ⎊ Zero-Knowledge Proofs Risk Reporting allows financial entities to cryptographically prove compliance with risk thresholds without revealing sensitive proprietary positions. ⎊ Definition ## [Solvency Proofs](https://term.greeks.live/definition/solvency-proofs/) Methods used to verify that a protocol holds enough assets to meet its total financial obligations. ⎊ Definition ## [Data Integrity Layer](https://term.greeks.live/term/data-integrity-layer/) Meaning ⎊ The Data Integrity Layer ensures the reliability and security of off-chain data for on-chain crypto derivatives, mitigating manipulation risk and enabling autonomous financial operations. ⎊ Definition ## [Zero-Knowledge Proofs for Data](https://term.greeks.live/term/zero-knowledge-proofs-for-data/) Meaning ⎊ Zero-Knowledge Proofs for Data enable verifiable computation on private financial inputs, mitigating front-running risk and allowing for institutional-grade derivatives market architectures. ⎊ Definition ## [Data Oracle Integrity](https://term.greeks.live/term/data-oracle-integrity/) Meaning ⎊ Data Oracle Integrity ensures the accuracy and tamper resistance of external price data used by decentralized derivatives protocols for settlement and collateral management. ⎊ Definition ## [Data Feed Integrity](https://term.greeks.live/definition/data-feed-integrity/) The guarantee that financial data inputs remain accurate, timely, and free from malicious interference. ⎊ Definition ## [Data Integrity Challenge](https://term.greeks.live/term/data-integrity-challenge/) Meaning ⎊ Data Integrity Challenge in crypto options protocols arises from oracle frontrunning and data staleness, where external price feeds are manipulated to exploit settlement and liquidation mechanisms. ⎊ Definition ## [Data Integrity Paradox](https://term.greeks.live/term/data-integrity-paradox/) Meaning ⎊ The Data Integrity Paradox exposes the systemic risk inherent in decentralized derivatives that rely on external data feeds for settlement and risk calculations. ⎊ Definition ## [Cross Chain Data Integrity](https://term.greeks.live/term/cross-chain-data-integrity/) Meaning ⎊ Cross Chain Data Integrity ensures that derivatives protocols can securely reference and settle against data originating from separate blockchain networks. ⎊ Definition ## [Non-Interactive Zero-Knowledge Proofs](https://term.greeks.live/term/non-interactive-zero-knowledge-proofs/) Meaning ⎊ NIZKPs enable private, verifiable computation for crypto options, balancing market transparency with participant privacy. ⎊ Definition ## [Data Integrity Assurance](https://term.greeks.live/term/data-integrity-assurance/) Meaning ⎊ Data Integrity Assurance in crypto options secures smart contract execution by verifying external data feeds against manipulation for accurate pricing and risk management. ⎊ 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": "Computational Integrity Proofs", "item": "https://term.greeks.live/area/computational-integrity-proofs/" }, { "@type": "ListItem", "position": 4, "name": "Resource 1", "item": "https://term.greeks.live/area/computational-integrity-proofs/resource/1/" } ] } ``` ```json { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [ { "@type": "Question", "name": "What is the Computation of Computational Integrity Proofs?", "acceptedAnswer": { "@type": "Answer", "text": "Computational Integrity Proofs represent a critical advancement in verifying the correctness of computations performed off-chain, particularly relevant within decentralized systems. 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The central focus highlights an automated linkage mechanism in a glowing teal color between the two components." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/computational-integrity/", "url": "https://term.greeks.live/definition/computational-integrity/", "headline": "Computational Integrity", "description": "The guarantee that a computation was performed correctly, verifiable through cryptographic proofs without trusting the party. ⎊ Definition", "datePublished": "2025-12-15T10:02:17+00:00", "dateModified": "2026-04-05T04:09:50+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-risk-management-precision-engine-for-real-time-volatility-surface-analysis-and-synthetic-asset-pricing.jpg", "width": 3850, "height": 2166, "caption": "A high-tech module is featured against a dark background. The object displays a dark blue exterior casing and a complex internal structure with a bright green lens and cylindrical components." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/data-source-integrity/", "url": "https://term.greeks.live/definition/data-source-integrity/", "headline": "Data Source Integrity", "description": "The assurance that data provided to a protocol is authentic, accurate, and has not been tampered with at the source. ⎊ Definition", "datePublished": "2025-12-15T10:26:23+00:00", "dateModified": "2026-04-07T04:44:42+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/green-vortex-depicting-decentralized-finance-liquidity-pool-smart-contract-execution-and-high-frequency-trading.jpg", "width": 3850, "height": 2166, "caption": "A dark, abstract image features a circular, mechanical structure surrounding a brightly glowing green vortex. The outer segments of the structure glow faintly in response to the central light source, creating a sense of dynamic energy within a decentralized finance ecosystem." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-integrity-risk/", "url": "https://term.greeks.live/term/data-integrity-risk/", "headline": "Data Integrity Risk", "description": "Meaning ⎊ Data Integrity Risk is the core vulnerability where flawed external data feeds compromise options pricing models and trigger incorrect settlements in decentralized finance. ⎊ Definition", "datePublished": "2025-12-15T10:26:33+00:00", "dateModified": "2026-01-04T15:09:56+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-layer-two-scaling-solution-bridging-protocol-interoperability-architecture-for-automated-market-maker-collateralization.jpg", "width": 3850, "height": 2166, "caption": "A digital cutaway renders a futuristic mechanical connection point where an internal rod with glowing green and blue components interfaces with a dark outer housing. The detailed view highlights the complex internal structure and data flow, suggesting advanced technology or a secure system interface." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-proofs-risk-reporting/", "url": "https://term.greeks.live/term/zero-knowledge-proofs-risk-reporting/", "headline": "Zero-Knowledge Proofs Risk Reporting", "description": "Meaning ⎊ Zero-Knowledge Proofs Risk Reporting allows financial entities to cryptographically prove compliance with risk thresholds without revealing sensitive proprietary positions. ⎊ Definition", "datePublished": "2025-12-15T10:28:16+00:00", "dateModified": "2025-12-15T10:28:16+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/interlocked-derivatives-tranches-illustrating-collateralized-debt-positions-and-dynamic-risk-stratification.jpg", "width": 3850, "height": 2166, "caption": "A close-up view presents a series of nested, circular bands in colors including teal, cream, navy blue, and neon green. The layers diminish in size towards the center, creating a sense of depth, with the outermost teal layer featuring cutouts along its surface." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/solvency-proofs/", "url": "https://term.greeks.live/definition/solvency-proofs/", "headline": "Solvency Proofs", "description": "Methods used to verify that a protocol holds enough assets to meet its total financial obligations. ⎊ Definition", "datePublished": "2025-12-15T10:32:59+00:00", "dateModified": "2026-04-04T16:14:57+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-collateralization-mechanisms-for-structured-derivatives-and-risk-exposure-management-architecture.jpg", "width": 3850, "height": 2166, "caption": "A high-angle, close-up view of a complex geometric object against a dark background. The structure features an outer dark blue skeletal frame and an inner light beige support system, both interlocking to enclose a glowing green central component." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-integrity-layer/", "url": "https://term.greeks.live/term/data-integrity-layer/", "headline": "Data Integrity Layer", "description": "Meaning ⎊ The Data Integrity Layer ensures the reliability and security of off-chain data for on-chain crypto derivatives, mitigating manipulation risk and enabling autonomous financial operations. ⎊ Definition", "datePublished": "2025-12-15T10:46:52+00:00", "dateModified": "2025-12-15T10:46:52+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-high-speed-liquidity-aggregation-protocol-for-cross-chain-settlement-architecture.jpg", "width": 3850, "height": 2166, "caption": "A high-tech, white and dark-blue device appears suspended, emitting a powerful stream of dark, high-velocity fibers that form an angled \"X\" pattern against a dark background. The source of the fiber stream is illuminated with a bright green glow." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/zero-knowledge-proofs-for-data/", "url": "https://term.greeks.live/term/zero-knowledge-proofs-for-data/", "headline": "Zero-Knowledge Proofs for Data", "description": "Meaning ⎊ Zero-Knowledge Proofs for Data enable verifiable computation on private financial inputs, mitigating front-running risk and allowing for institutional-grade derivatives market architectures. ⎊ Definition", "datePublished": "2025-12-16T08:39:53+00:00", "dateModified": "2025-12-16T08:39:53+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/autonomous-smart-contract-architecture-for-algorithmic-risk-evaluation-of-digital-asset-derivatives.jpg", "width": 3850, "height": 2166, "caption": "The illustration features a sophisticated technological device integrated within a double helix structure, symbolizing an advanced data or genetic protocol. A glowing green central sensor suggests active monitoring and data processing." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-oracle-integrity/", "url": "https://term.greeks.live/term/data-oracle-integrity/", "headline": "Data Oracle Integrity", "description": "Meaning ⎊ Data Oracle Integrity ensures the accuracy and tamper resistance of external price data used by decentralized derivatives protocols for settlement and collateral management. ⎊ Definition", "datePublished": "2025-12-16T08:45:23+00:00", "dateModified": "2026-01-04T15:32:26+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/high-frequency-algorithmic-trading-engine-smart-contract-execution-module-for-on-chain-derivative-pricing-feeds.jpg", "width": 3850, "height": 2166, "caption": "A dark blue and white mechanical object with sharp, geometric angles is displayed against a solid dark background. The central feature is a bright green circular component with internal threading, resembling a lens or data port." } }, { "@type": "Article", "@id": "https://term.greeks.live/definition/data-feed-integrity/", "url": "https://term.greeks.live/definition/data-feed-integrity/", "headline": "Data Feed Integrity", "description": "The guarantee that financial data inputs remain accurate, timely, and free from malicious interference. ⎊ Definition", "datePublished": "2025-12-16T08:47:42+00:00", "dateModified": "2026-03-25T03:40:29+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/high-frequency-trading-algorithmic-execution-engine-with-concentrated-liquidity-stream-and-volatility-surface-computation.jpg", "width": 3850, "height": 2166, "caption": "A digital rendering depicts a futuristic mechanical object with a blue, pointed energy or data stream emanating from one end. The device itself has a white and beige collar, leading to a grey chassis that holds a set of green fins." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-integrity-challenge/", "url": "https://term.greeks.live/term/data-integrity-challenge/", "headline": "Data Integrity Challenge", "description": "Meaning ⎊ Data Integrity Challenge in crypto options protocols arises from oracle frontrunning and data staleness, where external price feeds are manipulated to exploit settlement and liquidation mechanisms. ⎊ Definition", "datePublished": "2025-12-16T08:47:49+00:00", "dateModified": "2025-12-16T08:47:49+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-oracle-data-flow-for-smart-contract-execution-and-financial-derivatives-protocol-linkage.jpg", "width": 3850, "height": 2166, "caption": "A high-tech rendering displays two large, symmetric components connected by a complex, twisted-strand pathway. The central focus highlights an automated linkage mechanism in a glowing teal color between the two components." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-integrity-paradox/", "url": "https://term.greeks.live/term/data-integrity-paradox/", "headline": "Data Integrity Paradox", "description": "Meaning ⎊ The Data Integrity Paradox exposes the systemic risk inherent in decentralized derivatives that rely on external data feeds for settlement and risk calculations. ⎊ Definition", "datePublished": "2025-12-16T08:50:04+00:00", "dateModified": "2025-12-16T08:50:04+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/advanced-multilayer-protocol-security-model-for-decentralized-asset-custody-and-private-key-access-validation.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution stylized rendering shows a complex, layered security mechanism featuring circular components in shades of blue and white. A prominent, glowing green keyhole with a black core is featured on the right side, suggesting an access point or validation interface." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/cross-chain-data-integrity/", "url": "https://term.greeks.live/term/cross-chain-data-integrity/", "headline": "Cross Chain Data Integrity", "description": "Meaning ⎊ Cross Chain Data Integrity ensures that derivatives protocols can securely reference and settle against data originating from separate blockchain networks. ⎊ Definition", "datePublished": "2025-12-16T08:52:43+00:00", "dateModified": "2025-12-16T08:52:43+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/risk-tranche-segregation-and-cross-chain-collateral-architecture-in-complex-decentralized-finance-protocols.jpg", "width": 3850, "height": 2166, "caption": "A high-angle, close-up view presents a complex abstract structure of smooth, layered components in cream, light blue, and green, contained within a deep navy blue outer shell. The flowing geometry gives the impression of intricate, interwoven systems or pathways." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/non-interactive-zero-knowledge-proofs/", "url": "https://term.greeks.live/term/non-interactive-zero-knowledge-proofs/", "headline": "Non-Interactive Zero-Knowledge Proofs", "description": "Meaning ⎊ NIZKPs enable private, verifiable computation for crypto options, balancing market transparency with participant privacy. ⎊ Definition", "datePublished": "2025-12-16T09:03:34+00:00", "dateModified": "2025-12-16T09:03:34+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/non-linear-payoff-structure-of-derivative-contracts-and-dynamic-risk-mitigation-strategies-in-volatile-markets.jpg", "width": 3850, "height": 2166, "caption": "A high-resolution technical rendering displays a flexible joint connecting two rigid dark blue cylindrical components. The central connector features a light-colored, concave element enclosing a complex, articulated metallic mechanism." } }, { "@type": "Article", "@id": "https://term.greeks.live/term/data-integrity-assurance/", "url": "https://term.greeks.live/term/data-integrity-assurance/", "headline": "Data Integrity Assurance", "description": "Meaning ⎊ Data Integrity Assurance in crypto options secures smart contract execution by verifying external data feeds against manipulation for accurate pricing and risk management. ⎊ Definition", "datePublished": "2025-12-16T09:03:36+00:00", "dateModified": "2025-12-16T09:03:36+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-smart-contract-core-for-decentralized-finance-perpetual-futures-engine.jpg", "width": 3850, "height": 2166, "caption": "A precision cutaway view showcases the complex internal components of a high-tech device, revealing a cylindrical core surrounded by intricate mechanical gears and supports. The color palette features a dark blue casing contrasted with teal and metallic internal parts, emphasizing a sense of engineering and technological complexity." } } ], "image": { "@type": "ImageObject", "url": "https://term.greeks.live/wp-content/uploads/2025/12/complex-multilayered-derivatives-protocol-architecture-illustrating-high-frequency-smart-contract-execution-and-volatility-risk-management.jpg" } } ``` --- **Original URL:** https://term.greeks.live/area/computational-integrity-proofs/resource/1/