{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RYKWL26KZB5NWDMKWXGKYVAHDJ","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":"f3d4219a97b9d2b36881cbd3b5ac6434c2287150634f67021335753dccd440eb","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-06T08:20:47Z","title_canon_sha256":"702738fa79147ea43832227a52c9dfda6385b9dfe82d6d8cede5997835c15b9a"},"schema_version":"1.0","source":{"id":"1503.01871","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01871","created_at":"2026-05-18T02:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01871v1","created_at":"2026-05-18T02:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01871","created_at":"2026-05-18T02:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"RYKWL26KZB5N","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RYKWL26KZB5NWDMK","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RYKWL26K","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:3d5f72dd168d33965e18710a19bac093374f163d00e8fd231b470ac2379384a8","target":"graph","created_at":"2026-05-18T02:25:27Z","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 investigate the existence and uniqueness of (locally) absolutely continuous trajectories of a penalty term-based dynamical system associated to a constrained variational inequality expressed as a monotone inclusion problem. Relying on Lyapunov analysis and on the ergodic continuous version of the celebrated Opial Lemma we prove weak ergodic convergence of the orbits to a solution of the constrained variational inequality under investigation. If one of the operators involved satisfies stronger monotonicity properties, then strong convergence of the trajectories can be shown.","authors_text":"Ern\\\"o Robert Csetnek, Radu Ioan Bot","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-06T08:20:47Z","title":"Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01871","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:d1b3a837411151c766d923c66483c8c94558134adefadd63789ce3d4aac547af","target":"record","created_at":"2026-05-18T02:25:27Z","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":"f3d4219a97b9d2b36881cbd3b5ac6434c2287150634f67021335753dccd440eb","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-03-06T08:20:47Z","title_canon_sha256":"702738fa79147ea43832227a52c9dfda6385b9dfe82d6d8cede5997835c15b9a"},"schema_version":"1.0","source":{"id":"1503.01871","kind":"arxiv","version":1}},"canonical_sha256":"8e1565ebcac87adb0d8ab5ccac54071a7f9766307b3429940f78441983d3e3ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e1565ebcac87adb0d8ab5ccac54071a7f9766307b3429940f78441983d3e3ad","first_computed_at":"2026-05-18T02:25:27.379618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:27.379618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IG03JxUjbhFUCR5kQsgULHQhCO42zhkUj8AA9MbyfUyojJ0klhgy4f9grdtzSCp9b8OhlXkvwpLVokq8/sEcAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:27.380074Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01871","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1b3a837411151c766d923c66483c8c94558134adefadd63789ce3d4aac547af","sha256:3d5f72dd168d33965e18710a19bac093374f163d00e8fd231b470ac2379384a8"],"state_sha256":"d628e7ca238deead8e6aa00f74966701e1feda1016d7ada19f06330ce114589d"}