{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DMWNJMAINHAEVULC66BLBOL7ZI","short_pith_number":"pith:DMWNJMAI","schema_version":"1.0","canonical_sha256":"1b2cd4b00869c04ad162f782b0b97fca015fff14715e3030bec89f826af62499","source":{"kind":"arxiv","id":"1807.03279","version":1},"attestation_state":"computed","paper":{"title":"A Posteriori Error Analysis of Fluid-Stucture Interactions: Time Dependent Error","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"David M. Bortz, Jay A. Stotsky","submitted_at":"2018-07-09T17:31:36Z","abstract_excerpt":"A posteriori error analysis is a technique to quantify the error in particular simulations of a numerical approximation method. In this article, we use such an approach to analyze how various error components propagate in certain moving boundary problems. We study quasi-steady state simulations where slowly moving boundaries remain in mechanical equilibrium with a surrounding fluid. Such problems can be numerically approximated with the Method of Regularized Stokelets(MRS), a popular method used for studying viscous fluid-structure interactions, especially in biological applications. Our appro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1807.03279","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-09T17:31:36Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"4d1d5311279ae3bc4714754dfe6c3d66a334f1d8665f847078ed196d2c72da45","abstract_canon_sha256":"6ddf5b3015a40279d2e9ac2d67b3e3f2a08b00327c905f4e2c904bc09d1a8647"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:12:06.342467Z","signature_b64":"FEQhs+xtK5pj/BGG56zN8Su3mhBFQSHGVvg2TUidx+eVHnwHLhjMpWQ8jUvM8SqWbHn06obk8BUbyfitajfGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b2cd4b00869c04ad162f782b0b97fca015fff14715e3030bec89f826af62499","last_reissued_at":"2026-06-04T19:12:06.342045Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:12:06.342045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Posteriori Error Analysis of Fluid-Stucture Interactions: Time Dependent Error","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"David M. Bortz, Jay A. Stotsky","submitted_at":"2018-07-09T17:31:36Z","abstract_excerpt":"A posteriori error analysis is a technique to quantify the error in particular simulations of a numerical approximation method. In this article, we use such an approach to analyze how various error components propagate in certain moving boundary problems. We study quasi-steady state simulations where slowly moving boundaries remain in mechanical equilibrium with a surrounding fluid. Such problems can be numerically approximated with the Method of Regularized Stokelets(MRS), a popular method used for studying viscous fluid-structure interactions, especially in biological applications. Our appro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03279","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1807.03279/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1807.03279","created_at":"2026-06-04T19:12:06.342105+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.03279v1","created_at":"2026-06-04T19:12:06.342105+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03279","created_at":"2026-06-04T19:12:06.342105+00:00"},{"alias_kind":"pith_short_12","alias_value":"DMWNJMAINHAE","created_at":"2026-06-04T19:12:06.342105+00:00"},{"alias_kind":"pith_short_16","alias_value":"DMWNJMAINHAEVULC","created_at":"2026-06-04T19:12:06.342105+00:00"},{"alias_kind":"pith_short_8","alias_value":"DMWNJMAI","created_at":"2026-06-04T19:12:06.342105+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI","json":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI.json","graph_json":"https://pith.science/api/pith-number/DMWNJMAINHAEVULC66BLBOL7ZI/graph.json","events_json":"https://pith.science/api/pith-number/DMWNJMAINHAEVULC66BLBOL7ZI/events.json","paper":"https://pith.science/paper/DMWNJMAI"},"agent_actions":{"view_html":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI","download_json":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI.json","view_paper":"https://pith.science/paper/DMWNJMAI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.03279&json=true","fetch_graph":"https://pith.science/api/pith-number/DMWNJMAINHAEVULC66BLBOL7ZI/graph.json","fetch_events":"https://pith.science/api/pith-number/DMWNJMAINHAEVULC66BLBOL7ZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI/action/storage_attestation","attest_author":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI/action/author_attestation","sign_citation":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI/action/citation_signature","submit_replication":"https://pith.science/pith/DMWNJMAINHAEVULC66BLBOL7ZI/action/replication_record"}},"created_at":"2026-06-04T19:12:06.342105+00:00","updated_at":"2026-06-04T19:12:06.342105+00:00"}