{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CLHZCEDJLYEQTNACCAEZ736D3M","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":"56ddc1b44e6287a92198f019b0e63dc25a7dae22289b37d7ac28ca56aa3d8146","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DS","submitted_at":"2026-05-18T14:26:05Z","title_canon_sha256":"d6b78932c08efa440a70e2c767aafd501e2275cc11ab91ebc542248dae84a8c3"},"schema_version":"1.0","source":{"id":"2605.18465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18465","created_at":"2026-05-20T00:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18465v1","created_at":"2026-05-20T00:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18465","created_at":"2026-05-20T00:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"CLHZCEDJLYEQ","created_at":"2026-05-20T00:06:02Z"},{"alias_kind":"pith_short_16","alias_value":"CLHZCEDJLYEQTNAC","created_at":"2026-05-20T00:06:02Z"},{"alias_kind":"pith_short_8","alias_value":"CLHZCEDJ","created_at":"2026-05-20T00:06:02Z"}],"graph_snapshots":[{"event_id":"sha256:c9f5949ccd7a1073ba934e195fa135a6c4443291f3948c128e9f82256239d53f","target":"graph","created_at":"2026-05-20T00:06:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.18465/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The aim of this paper is to study the finite-dimensional approximations of the nonautonomous lattice dynamical systems of the form $u_{i}'=\\nu (u_{i-1}-2u_i+u_{i+1})-\\lambda u_{i}+F(u_i)+f_{i}(t)\\ (i\\in \\mathbb Z)\\ (*)$. We show that the finite-dimensional approximations for (*) are uniformly dissipative. The upper semi-continuous convergence of the attractors of the finite-dimensional approximations is established.","authors_text":"Andrei Sultan, David Cheban","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DS","submitted_at":"2026-05-18T14:26:05Z","title":"Approximation of Attractors of Nonautonomous Lattice Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18465","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:aacfb6e1a54d7ff5fab840424024e283117bb84df0d344cfbc5b78d97cc6a909","target":"record","created_at":"2026-05-20T00:06:02Z","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":"56ddc1b44e6287a92198f019b0e63dc25a7dae22289b37d7ac28ca56aa3d8146","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.DS","submitted_at":"2026-05-18T14:26:05Z","title_canon_sha256":"d6b78932c08efa440a70e2c767aafd501e2275cc11ab91ebc542248dae84a8c3"},"schema_version":"1.0","source":{"id":"2605.18465","kind":"arxiv","version":1}},"canonical_sha256":"12cf9110695e0909b40210099fefc3db3a4c0d4f8b76a54a87833bd10d8dc2e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12cf9110695e0909b40210099fefc3db3a4c0d4f8b76a54a87833bd10d8dc2e5","first_computed_at":"2026-05-20T00:06:02.588855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:06:02.588855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/YSvewb2wvqMoqi6HWHf32wBIj1Ukx4R8t04/P19Ou3DR09ZVvizDZFF7qbKvb0nD5UZym6xrWH3CwaSwTZVBg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:06:02.589777Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aacfb6e1a54d7ff5fab840424024e283117bb84df0d344cfbc5b78d97cc6a909","sha256:c9f5949ccd7a1073ba934e195fa135a6c4443291f3948c128e9f82256239d53f"],"state_sha256":"102909696404b24738d2741d2446798e24d62b19bebd0882df3ac9a992435269"}