{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:7O2SVPVEMXI5V2NLHHZEPKJIBI","short_pith_number":"pith:7O2SVPVE","schema_version":"1.0","canonical_sha256":"fbb52abea465d1dae9ab39f247a9280a24d340ee5097473ee3be5a66b610f5a1","source":{"kind":"arxiv","id":"1805.00235","version":1},"attestation_state":"computed","paper":{"title":"Analysis of Boundary-Domain Integral Equations to the Mixed BVP for a Compressible Stokes System with Variable Viscosity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"C.F. Portillo, S.E. Mikhailov","submitted_at":"2018-05-01T08:45:04Z","abstract_excerpt":"The mixed boundary value problem for a compressible Stokes system of partial differential equations in a bounded domain is reduced to two different systems of segregated direct Boundary Integral Equations (BDIEs) expressed in terms of surface and volume parametrix-based potential type operators. Equivalence of the BDIE systems to the mixed BVP and invertibility of the matrix operators associated with the BDIE systems are proved in appropriate Sobolev spaces."},"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":"1805.00235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-01T08:45:04Z","cross_cats_sorted":[],"title_canon_sha256":"e190074565ba831692aaa26c4244fa4d950bedfba4c7890eb57bca001192067b","abstract_canon_sha256":"fb39d31d72097cec7ea6ee3c08f80dde76f56afd3accec946636c8304a4e62b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:53:05.663645Z","signature_b64":"W1c4Y2HcbfXQXAJN61nDNU41Hys2YyvtbLmVIcnji5p86BTKZfsrZ4UHHXveX1e4A2CpZQSwdUIiZArwYh8lAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbb52abea465d1dae9ab39f247a9280a24d340ee5097473ee3be5a66b610f5a1","last_reissued_at":"2026-07-05T01:53:05.663197Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:53:05.663197Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analysis of Boundary-Domain Integral Equations to the Mixed BVP for a Compressible Stokes System with Variable Viscosity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"C.F. Portillo, S.E. Mikhailov","submitted_at":"2018-05-01T08:45:04Z","abstract_excerpt":"The mixed boundary value problem for a compressible Stokes system of partial differential equations in a bounded domain is reduced to two different systems of segregated direct Boundary Integral Equations (BDIEs) expressed in terms of surface and volume parametrix-based potential type operators. Equivalence of the BDIE systems to the mixed BVP and invertibility of the matrix operators associated with the BDIE systems are proved in appropriate Sobolev spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00235","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/1805.00235/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":"1805.00235","created_at":"2026-07-05T01:53:05.663256+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.00235v1","created_at":"2026-07-05T01:53:05.663256+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00235","created_at":"2026-07-05T01:53:05.663256+00:00"},{"alias_kind":"pith_short_12","alias_value":"7O2SVPVEMXI5","created_at":"2026-07-05T01:53:05.663256+00:00"},{"alias_kind":"pith_short_16","alias_value":"7O2SVPVEMXI5V2NL","created_at":"2026-07-05T01:53:05.663256+00:00"},{"alias_kind":"pith_short_8","alias_value":"7O2SVPVE","created_at":"2026-07-05T01:53:05.663256+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/7O2SVPVEMXI5V2NLHHZEPKJIBI","json":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI.json","graph_json":"https://pith.science/api/pith-number/7O2SVPVEMXI5V2NLHHZEPKJIBI/graph.json","events_json":"https://pith.science/api/pith-number/7O2SVPVEMXI5V2NLHHZEPKJIBI/events.json","paper":"https://pith.science/paper/7O2SVPVE"},"agent_actions":{"view_html":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI","download_json":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI.json","view_paper":"https://pith.science/paper/7O2SVPVE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.00235&json=true","fetch_graph":"https://pith.science/api/pith-number/7O2SVPVEMXI5V2NLHHZEPKJIBI/graph.json","fetch_events":"https://pith.science/api/pith-number/7O2SVPVEMXI5V2NLHHZEPKJIBI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI/action/storage_attestation","attest_author":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI/action/author_attestation","sign_citation":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI/action/citation_signature","submit_replication":"https://pith.science/pith/7O2SVPVEMXI5V2NLHHZEPKJIBI/action/replication_record"}},"created_at":"2026-07-05T01:53:05.663256+00:00","updated_at":"2026-07-05T01:53:05.663256+00:00"}