{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JBHKEK44I2DTK3Z2S5B4YCAY3W","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f5aca0feae97f5019744afb915b8991d76014088e1e5a53ab37335ed0ae06e96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-15T01:00:33Z","title_canon_sha256":"b97a493b4947992287829624f0fcab4759ca22c71f6545b287ea2f8290be09ad"},"schema_version":"1.0","source":{"id":"1904.06797","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.06797","created_at":"2026-05-17T23:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"1904.06797v1","created_at":"2026-05-17T23:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.06797","created_at":"2026-05-17T23:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"JBHKEK44I2DT","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"JBHKEK44I2DTK3Z2","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"JBHKEK44","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:17090f5754de7df8f7408916f0f2794e8bf18a2519869f26198debee0d3be631","target":"graph","created_at":"2026-05-17T23:48:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider a boundary value problem for the parabolic Lam\\'e type operator being a linearization of the Navier-Stokes' equations for compressible flow of Newtonian fluids. It consists of recovering a vector-function, satisfying the parabolic Lam\\'e type system in a cylindrical domain, via its values and the values of the boundary stress tensor on a given part of the lateral surface of the cylinder. We prove that the problem is ill-posed in the natural spaces of smooth functions and in the corresponding H\\\"older spaces; besides, additional initial data do not turn the problem to a well-posed o","authors_text":"A. Shlapunov, R. Puzyrev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-15T01:00:33Z","title":"On a mixed problem for the parabolic Lam'e type operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.06797","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d27be26ee23e564ecb595cfe52a84d160d7163110da51c9ef9f209d91ec5f94c","target":"record","created_at":"2026-05-17T23:48:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f5aca0feae97f5019744afb915b8991d76014088e1e5a53ab37335ed0ae06e96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-15T01:00:33Z","title_canon_sha256":"b97a493b4947992287829624f0fcab4759ca22c71f6545b287ea2f8290be09ad"},"schema_version":"1.0","source":{"id":"1904.06797","kind":"arxiv","version":1}},"canonical_sha256":"484ea22b9c4687356f3a9743cc0818dd83328c20baf47dbfddb6636d57bc4a1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"484ea22b9c4687356f3a9743cc0818dd83328c20baf47dbfddb6636d57bc4a1d","first_computed_at":"2026-05-17T23:48:36.205854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:36.205854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S3CNpL20gLpwSdkaMZK3NrGAbC5fU5+kqJBBHgRjN9p11UWus9OtNSmH9R0vzsEH9f9EK6t13pgBpTpPbkFKAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:36.206533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.06797","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d27be26ee23e564ecb595cfe52a84d160d7163110da51c9ef9f209d91ec5f94c","sha256:17090f5754de7df8f7408916f0f2794e8bf18a2519869f26198debee0d3be631"],"state_sha256":"fa810ee9a60d02d37e2727031a3ae6c701fc5f5bcc6cd3a38bb9590800f99adc"}