{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EX55NR2SYI4CGWJV7DM2PNSYAO","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":"f817b31ca82558f00c923f84f53cf73c6647332d0f3883d5ecc1ff547abe957e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-21T14:11:41Z","title_canon_sha256":"ace44a442e9e68ebdbc6e0a4b81bad8fafe51591f959322cfb3db6f50c45d1c0"},"schema_version":"1.0","source":{"id":"1206.4888","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4888","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4888v5","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4888","created_at":"2026-05-18T03:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"EX55NR2SYI4C","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EX55NR2SYI4CGWJV","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EX55NR2S","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:381b54171503f9589ba5da1d799204c847fc3c283f48a32071614e880c65ee43","target":"graph","created_at":"2026-05-18T03:48:36Z","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":"The paper deals with the existence and almost periodic homogenization of some model of generalized Navier-Stokes equations. We first establish an existence result for non-stationary Ladyzhenskaya equations with a given non constant density. The external force depends nonlinearly on the velocity. Next, to proceed with homogenization, as the density of the fluid is non constant, we combine the sigma-convergence method with some compactness arguments.","authors_text":"Hermann Douanla, Jean Louis Woukeng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-21T14:11:41Z","title":"Almost periodic homogenization of a generalized Ladyzhenskaya model for incompressible viscous flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4888","kind":"arxiv","version":5},"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:f329040f5f9825156b21dd48b8ae0336fc56926e524bc42f5fb0eb48f5bacdfd","target":"record","created_at":"2026-05-18T03:48:36Z","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":"f817b31ca82558f00c923f84f53cf73c6647332d0f3883d5ecc1ff547abe957e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-21T14:11:41Z","title_canon_sha256":"ace44a442e9e68ebdbc6e0a4b81bad8fafe51591f959322cfb3db6f50c45d1c0"},"schema_version":"1.0","source":{"id":"1206.4888","kind":"arxiv","version":5}},"canonical_sha256":"25fbd6c752c238235935f8d9a7b65803a468b9c1003774c8a0d295be9f5e5a98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25fbd6c752c238235935f8d9a7b65803a468b9c1003774c8a0d295be9f5e5a98","first_computed_at":"2026-05-18T03:48:36.667641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:36.667641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WuFyHoe+cafksyGzdgcZtnjK5hrDhj98IWpXaldjkHjGuFzObt6QSrJXEJ9kxpFMRlECqjkmNO9ivrwhxRMrBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:36.668370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.4888","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f329040f5f9825156b21dd48b8ae0336fc56926e524bc42f5fb0eb48f5bacdfd","sha256:381b54171503f9589ba5da1d799204c847fc3c283f48a32071614e880c65ee43"],"state_sha256":"998e87c12e71b13d9d58d3521c5ca1dc49ef03d23f9a9ec49c464d2a8bc08d07"}