{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HD5C7EMSEJUDHCQHPUKXOSJRTH","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":"93c29af839faed99538bcaea18f1e764c8e9791e81e6b8905b1f88760dd70fc8","cross_cats_sorted":["cs.CV","cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2013-02-22T11:28:07Z","title_canon_sha256":"73c8ec9958adb28679efe3d6c386cd376acdce4bee72612973d6205864101bcc"},"schema_version":"1.0","source":{"id":"1302.5554","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5554","created_at":"2026-05-18T02:56:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5554v2","created_at":"2026-05-18T02:56:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5554","created_at":"2026-05-18T02:56:32Z"},{"alias_kind":"pith_short_12","alias_value":"HD5C7EMSEJUD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HD5C7EMSEJUDHCQH","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HD5C7EMS","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:b26e7a19f00bc6a0daeb2a3d87b8d1527bc6365995dd8d8ea06a55f9d93f6008","target":"graph","created_at":"2026-05-18T02:56:32Z","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 work is concerned with the ill-posed inverse problem of estimating turbulent flows from the observation of an image sequence. From a Bayesian perspective, a divergence-free isotropic fractional Brownian motion (fBm) is chosen as a prior model for instantaneous turbulent velocity fields. This self-similar prior characterizes accurately second-order statistics of velocity fields in incompressible isotropic turbulence. Nevertheless, the associated maximum a posteriori involves a fractional Laplacian operator which is delicate to implement in practice. To deal with this issue, we propose to d","authors_text":"Fr\\'ed\\'eric Lavancier, Patrick H\\'eas, Souleymane Kadri-Harouna","cross_cats":["cs.CV","cs.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2013-02-22T11:28:07Z","title":"Self-similar prior and wavelet bases for hidden incompressible turbulent motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5554","kind":"arxiv","version":2},"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":"sha256:883ec25edf097ebcb8b4264cddfd0e01b7f8df1bb62a7907354b49949f316111","target":"record","created_at":"2026-05-18T02:56:32Z","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":"93c29af839faed99538bcaea18f1e764c8e9791e81e6b8905b1f88760dd70fc8","cross_cats_sorted":["cs.CV","cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2013-02-22T11:28:07Z","title_canon_sha256":"73c8ec9958adb28679efe3d6c386cd376acdce4bee72612973d6205864101bcc"},"schema_version":"1.0","source":{"id":"1302.5554","kind":"arxiv","version":2}},"canonical_sha256":"38fa2f91922268338a077d1577493199eddaa0f14454f19b11580f679cffd1e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38fa2f91922268338a077d1577493199eddaa0f14454f19b11580f679cffd1e6","first_computed_at":"2026-05-18T02:56:32.792594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:32.792594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n0/9mL+EFkm4gHvWk2qlULkxAU7it7kO882HGYQSdXb5n85aiQIzwWc7WxXdocvv9nhQWMpvfEHKI9RBaBzgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:32.793251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5554","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:883ec25edf097ebcb8b4264cddfd0e01b7f8df1bb62a7907354b49949f316111","sha256:b26e7a19f00bc6a0daeb2a3d87b8d1527bc6365995dd8d8ea06a55f9d93f6008"],"state_sha256":"3a5b2f24f2943833b16231c5e16d1fb128e9bf86305f4590f458573dcbce982b"}