Obtaining third-party verification of pressure vessel inspections under API-510 is crucial for ensuring the impartiality and accuracy of the inspection process. This involves engaging independent auditors or certification bodies to review and verify the results of inspections conducted by in-house or contracted inspectors. The third-party reviewers assess the thoroughness of the inspection, the adherence to API-510 standards, and the accuracy of the documentation. This process helps to maintain high standards of safety and compliance and provides an additional layer of assurance that pressure vessels are fit for continued service.