{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C33F635IY7QLVW4DNIQZ2TE27J","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":"9d9b97b7fff6f4c38b0e7ee3a10c624637e43a8e7326b5c8d6f7fbfd44ae700b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-07T13:40:21Z","title_canon_sha256":"99864825e9f4c0d516fd00cf7985d745ec80fa1d3093b84d2c303c4f8b8c8a89"},"schema_version":"1.0","source":{"id":"1308.1570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.1570","created_at":"2026-05-18T03:16:30Z"},{"alias_kind":"arxiv_version","alias_value":"1308.1570v1","created_at":"2026-05-18T03:16:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1570","created_at":"2026-05-18T03:16:30Z"},{"alias_kind":"pith_short_12","alias_value":"C33F635IY7QL","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C33F635IY7QLVW4D","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C33F635I","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:877b00355f4b3049558a8e2ca057ada155306cc727f67e7f920b7512590988a3","target":"graph","created_at":"2026-05-18T03:16:30Z","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 discuss the discrete data assimilation problem for the 3D viscous primitive equations arising in the modeling of large scale phenomena in oceanic dynamics. Our main result states possibility of asymptotically reliable prognosis based on a discrete sequence of finite number of scalar observations. Our method is quite general and can be applied to a wide class of dissipative systems.","authors_text":"Igor Chueshov","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-07T13:40:21Z","title":"Discrete data assimilation via Ladyzhenskaya squeezing property in the 3D viscous primitive equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1570","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":"sha256:2969c860b283823c01de500e7dfb8f60e9e8f4e51fa34257250174a21c869128","target":"record","created_at":"2026-05-18T03:16:30Z","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":"9d9b97b7fff6f4c38b0e7ee3a10c624637e43a8e7326b5c8d6f7fbfd44ae700b","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-08-07T13:40:21Z","title_canon_sha256":"99864825e9f4c0d516fd00cf7985d745ec80fa1d3093b84d2c303c4f8b8c8a89"},"schema_version":"1.0","source":{"id":"1308.1570","kind":"arxiv","version":1}},"canonical_sha256":"16f65f6fa8c7e0badb836a219d4c9afa61a50e4c17d691859825ae4421c5c220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16f65f6fa8c7e0badb836a219d4c9afa61a50e4c17d691859825ae4421c5c220","first_computed_at":"2026-05-18T03:16:30.811890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:30.811890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+NrWTHqMhoLYJVIN1ROqECXfpOJXr6FHklSTohEY8OsxztaCXeXvJY7wB9ks9u88QUnHo10G7WkO/d+jVeBxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:30.812648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.1570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2969c860b283823c01de500e7dfb8f60e9e8f4e51fa34257250174a21c869128","sha256:877b00355f4b3049558a8e2ca057ada155306cc727f67e7f920b7512590988a3"],"state_sha256":"59fa5b476d032c3dde5eef3343325c5467700de8086d33657457efeb7a52d402"}