{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XGNZO6AYG6YD6SCPDUKHUKVT4Y","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":"f8ab63d6bf8a1fc48b32d41602746e98453f89a2cc2a0999a274d1665a527f73","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-25T06:08:57Z","title_canon_sha256":"7101063a32227b03b29d766ba0a30c2ee6e09e6aae8221a895947ab0502f320e"},"schema_version":"1.0","source":{"id":"1108.5019","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5019","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5019v1","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5019","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"XGNZO6AYG6YD","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XGNZO6AYG6YD6SCP","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XGNZO6AY","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:99f2f05a9916aa191cbaee79699b0cfe9e7b5bc3800134da647f82274970e64a","target":"graph","created_at":"2026-05-18T04:14:45Z","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":"We establish a result concerning the so-called Lagrangian controllability of the Euler equation for incompressible perfect fluids in dimension 3. More precisely we consider a connected bounded domain of R^3 and two smooth contractible sets of fluid particles, surrounding the same volume. We prove that given any initial velocity field, one can find a boundary control and a time interval such that the corresponding solution of the Euler equation makes the first of the two sets approximately reach the second one.","authors_text":"Olivier Glass (CEREMADE), Thierry Horsin (LM-Versailles)","cross_cats":["cs.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-25T06:08:57Z","title":"Prescribing the motion of a set of particles in a 3D perfect fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5019","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":"sha256:1dede66f334735e408823cadccf606de27350df2d28d5069e784e4a87ef2983d","target":"record","created_at":"2026-05-18T04:14:45Z","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":"f8ab63d6bf8a1fc48b32d41602746e98453f89a2cc2a0999a274d1665a527f73","cross_cats_sorted":["cs.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-25T06:08:57Z","title_canon_sha256":"7101063a32227b03b29d766ba0a30c2ee6e09e6aae8221a895947ab0502f320e"},"schema_version":"1.0","source":{"id":"1108.5019","kind":"arxiv","version":1}},"canonical_sha256":"b99b97781837b03f484f1d147a2ab3e61fae6c2fa7bec79c9e9a0a851f3f0529","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b99b97781837b03f484f1d147a2ab3e61fae6c2fa7bec79c9e9a0a851f3f0529","first_computed_at":"2026-05-18T04:14:45.583235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:45.583235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B0JXRpZ97yCFlHAkj7bqR4bHWYcL1zTgzK2F5/jO6LBnZkQahLOYQguIjVduRaFhXzSbcZKKoiuxS1SS8DqFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:45.583639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5019","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dede66f334735e408823cadccf606de27350df2d28d5069e784e4a87ef2983d","sha256:99f2f05a9916aa191cbaee79699b0cfe9e7b5bc3800134da647f82274970e64a"],"state_sha256":"6842c9cc24d3d57e51863d134fc805dfbe94c72bb91650eb6eeced63806afad5"}