{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OSYMEWXE2V35HXOLBWSUGSEDUD","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":"c907682c194ca844cefb447e391497751f10d869a151e2236eeb1cb0dc5cc7b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-06T17:25:31Z","title_canon_sha256":"83e227cf4ec7618281ddbe577023a6abf1bb8a4b9945d265aa4963bf6287819c"},"schema_version":"1.0","source":{"id":"1206.1281","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.1281","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1206.1281v3","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1281","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"OSYMEWXE2V35","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OSYMEWXE2V35HXOL","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OSYMEWXE","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:a9dcbc85f4b69a80e654b62ecd1ff92c6880b94d05cc80b2cce110a465b30cb2","target":"graph","created_at":"2026-05-18T02:59:45Z","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":"This paper analyzes the Lamb vector divergence, also called the hydrodynamic charge density, and its implications to the Navier-Stokes system. It is shown that the pressure field can be always chosen in a way that ensures regularity of the Navier-Stokes system. The abstract pressure field that ensures regularity is defined through two partial differential equations, being of the elliptic kind. The pressure field defined such a way can be interpreted as a control potential field that keeps the system regular. The controlling pressure field depends only on the velocity field of the fluid and its","authors_text":"Jussi Lindgren","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-06T17:25:31Z","title":"On the Lamb vector divergence, evolution of pressure fields and Navier-Stokes regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1281","kind":"arxiv","version":3},"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:c0260657e98a49b613c1a89de5a30d6582216435e1ab89ed599147845c37e875","target":"record","created_at":"2026-05-18T02:59:45Z","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":"c907682c194ca844cefb447e391497751f10d869a151e2236eeb1cb0dc5cc7b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-06-06T17:25:31Z","title_canon_sha256":"83e227cf4ec7618281ddbe577023a6abf1bb8a4b9945d265aa4963bf6287819c"},"schema_version":"1.0","source":{"id":"1206.1281","kind":"arxiv","version":3}},"canonical_sha256":"74b0c25ae4d577d3ddcb0da5434883a0fd710f269bda37be0bef287446c99924","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74b0c25ae4d577d3ddcb0da5434883a0fd710f269bda37be0bef287446c99924","first_computed_at":"2026-05-18T02:59:45.210810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:45.210810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l4wqj4RIdGzmyUoqS7vO8+yUwOwrGPcccZEq40shfCXIf0EwfCRD15Uk+xWJrRTKR0NcWowtv+qU1nS3R3smCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:45.211690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.1281","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0260657e98a49b613c1a89de5a30d6582216435e1ab89ed599147845c37e875","sha256:a9dcbc85f4b69a80e654b62ecd1ff92c6880b94d05cc80b2cce110a465b30cb2"],"state_sha256":"05a8479b05a128ec2666eae0b54f5bb288347304292af251b59776d5ea86dfa2"}