{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NYD2UTSFF2AYWFMNRQPQ5JJJJS","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":"02edeec048e89ee9f5a37c060a2a87b23691bef67de38e257fb463e252d8d3be","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-26T10:28:21Z","title_canon_sha256":"b3be66f720650a6605f248dfafb9804b697314df74f040931f8d05f42ad3a267"},"schema_version":"1.0","source":{"id":"1303.6427","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6427","created_at":"2026-05-18T03:19:56Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6427v2","created_at":"2026-05-18T03:19:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6427","created_at":"2026-05-18T03:19:56Z"},{"alias_kind":"pith_short_12","alias_value":"NYD2UTSFF2AY","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NYD2UTSFF2AYWFMN","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NYD2UTSF","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:ac1d83eff9f64393d5b3d043175e43c069b8c7591e8f6efa1eb7ffb4dca9e104","target":"graph","created_at":"2026-05-18T03:19:56Z","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":"A system of two coupled nonlinear Schroedinger equations is treated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is considered. Asymptotics for large Rabi frequency are carried out. Convergence in the appropriate Strichartz space is proven. As a consequence, the global existence of the limiting system gives a criterion for the long time behavior of the original system.","authors_text":"Paolo Antonelli, Rada Maria Weishaeupl","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-26T10:28:21Z","title":"Asymptotic behavior of nonlinear Schroedinger Systems with Linear Coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6427","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":"sha256:0695a0b4d6f49addb24ce76e893fa82f9006c14b7a83f64b823704c3bb8c2bc7","target":"record","created_at":"2026-05-18T03:19:56Z","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":"02edeec048e89ee9f5a37c060a2a87b23691bef67de38e257fb463e252d8d3be","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-26T10:28:21Z","title_canon_sha256":"b3be66f720650a6605f248dfafb9804b697314df74f040931f8d05f42ad3a267"},"schema_version":"1.0","source":{"id":"1303.6427","kind":"arxiv","version":2}},"canonical_sha256":"6e07aa4e452e818b158d8c1f0ea5294cb2b0cc895032638caa79b5bf1f61b91d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e07aa4e452e818b158d8c1f0ea5294cb2b0cc895032638caa79b5bf1f61b91d","first_computed_at":"2026-05-18T03:19:56.451014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:56.451014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"puxqqFqOFF9/cNQ9jeKNa+EMemKPvFNDjUuxhOCL0Z8wNjMqW99VRXTW8ja2Or0qsD1BjoPwoFPrsuLvPGPhCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:56.451759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6427","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0695a0b4d6f49addb24ce76e893fa82f9006c14b7a83f64b823704c3bb8c2bc7","sha256:ac1d83eff9f64393d5b3d043175e43c069b8c7591e8f6efa1eb7ffb4dca9e104"],"state_sha256":"2f5d3f4c3a79bfed0f7baa1e610849b4bbd57c2eafc9e720dfcb5e50dd82d179"}