{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6DDYR47G6ORKWM2M5CKTC6NL7M","short_pith_number":"pith:6DDYR47G","schema_version":"1.0","canonical_sha256":"f0c788f3e6f3a2ab334ce8953179abfb3abde90d9d778366aebb54a6c99bfb46","source":{"kind":"arxiv","id":"1705.07022","version":1},"attestation_state":"computed","paper":{"title":"A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Petrov, E. Feireisl, I. S. Ciuperca, M. Jai","submitted_at":"2017-05-19T14:31:52Z","abstract_excerpt":"We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier-Stokes system on a thin domain. In particular, the existence of solutions to the Navier-Stokes system with non-homogeneous boundary conditions is shown that may be of independent interest. Our approach is based on new a priori bounds available for the pressure law of hard sphere type. Finally, uniqueness for the limit problem is established in the 1D case."},"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":"1705.07022","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-19T14:31:52Z","cross_cats_sorted":[],"title_canon_sha256":"2bcd0327cf8dbd4fdc942a62917e74f2a59fcc41c97118a4c064ff54d4745118","abstract_canon_sha256":"a35a4117cc1340feb000554702e234cec16ebdaa66e319db181ee7f197f8e221"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:10.781245Z","signature_b64":"S23zt2S4I+0QZ+Njv3yHJ4buTW4pQNDNTaPKF+bZFc2r8D0f1rZEo7xJKI/h4vYeMIZyRHCVBVrng/K/RkAxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0c788f3e6f3a2ab334ce8953179abfb3abde90d9d778366aebb54a6c99bfb46","last_reissued_at":"2026-05-18T00:44:10.780801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:10.780801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A rigorous derivation of the stationary compressible Reynolds equation via the Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Petrov, E. Feireisl, I. S. Ciuperca, M. Jai","submitted_at":"2017-05-19T14:31:52Z","abstract_excerpt":"We provide a rigorous derivation of the compressible Reynolds system as a singular limit of the compressible (barotropic) Navier-Stokes system on a thin domain. In particular, the existence of solutions to the Navier-Stokes system with non-homogeneous boundary conditions is shown that may be of independent interest. Our approach is based on new a priori bounds available for the pressure law of hard sphere type. Finally, uniqueness for the limit problem is established in the 1D case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07022","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":""},"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":"1705.07022","created_at":"2026-05-18T00:44:10.780866+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.07022v1","created_at":"2026-05-18T00:44:10.780866+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07022","created_at":"2026-05-18T00:44:10.780866+00:00"},{"alias_kind":"pith_short_12","alias_value":"6DDYR47G6ORK","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6DDYR47G6ORKWM2M","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6DDYR47G","created_at":"2026-05-18T12:31:03.183658+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/6DDYR47G6ORKWM2M5CKTC6NL7M","json":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M.json","graph_json":"https://pith.science/api/pith-number/6DDYR47G6ORKWM2M5CKTC6NL7M/graph.json","events_json":"https://pith.science/api/pith-number/6DDYR47G6ORKWM2M5CKTC6NL7M/events.json","paper":"https://pith.science/paper/6DDYR47G"},"agent_actions":{"view_html":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M","download_json":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M.json","view_paper":"https://pith.science/paper/6DDYR47G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.07022&json=true","fetch_graph":"https://pith.science/api/pith-number/6DDYR47G6ORKWM2M5CKTC6NL7M/graph.json","fetch_events":"https://pith.science/api/pith-number/6DDYR47G6ORKWM2M5CKTC6NL7M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M/action/storage_attestation","attest_author":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M/action/author_attestation","sign_citation":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M/action/citation_signature","submit_replication":"https://pith.science/pith/6DDYR47G6ORKWM2M5CKTC6NL7M/action/replication_record"}},"created_at":"2026-05-18T00:44:10.780866+00:00","updated_at":"2026-05-18T00:44:10.780866+00:00"}