{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V7SGFY7JDXPMN335SDYQBQXKSV","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":"f0a595151b186f681eca3df5a10a1b3a6b1b00aae47cdd61cd0f95b04103fb49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-01T03:48:40Z","title_canon_sha256":"187e70c64d62671014dbd6753a1d6be9006c2c8b6b20b684d708fc64044a4b58"},"schema_version":"1.0","source":{"id":"1505.00083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00083","created_at":"2026-05-18T00:30:18Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00083v1","created_at":"2026-05-18T00:30:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00083","created_at":"2026-05-18T00:30:18Z"},{"alias_kind":"pith_short_12","alias_value":"V7SGFY7JDXPM","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V7SGFY7JDXPMN335","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V7SGFY7J","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:5a4480063148c35224fb2d37d48e7cfdd7b029d293a05e756168725211ea3be7","target":"graph","created_at":"2026-05-18T00:30:18Z","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 multiscale time integrator Fourier pseudospectral (MTI-FP) method is proposed and analyzed for solving the Klein-Gordon-Schr\\\"{o}dinger (KGS) equations in the nonrelativistic limit regime with a dimensionless parameter $0<\\varepsilon\\le1$ which is inversely proportional to the speed of light. In fact, the solution to the KGS equations propagates waves with wavelength at $O(\\varepsilon^2)$ and $O(1)$ in time and space, respectively, when $0<\\varepsilon\\ll 1$, which brings significantly numerical burdens in practical computation. The MTI-FP method is designed by adapting a multiscale decomposi","authors_text":"Weizhu Bao, Xiaofei Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-01T03:48:40Z","title":"A uniformly accurate (UA) multiscale time integrator Fourier pseoduspectral method for the Klein-Gordon-Schrodinger equations in the nonrelativistic limit regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00083","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":"sha256:290d0dc9e02bc0dff6499431e4f972b17151e18b324a596539e9d33648c83e33","target":"record","created_at":"2026-05-18T00:30:18Z","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":"f0a595151b186f681eca3df5a10a1b3a6b1b00aae47cdd61cd0f95b04103fb49","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-05-01T03:48:40Z","title_canon_sha256":"187e70c64d62671014dbd6753a1d6be9006c2c8b6b20b684d708fc64044a4b58"},"schema_version":"1.0","source":{"id":"1505.00083","kind":"arxiv","version":1}},"canonical_sha256":"afe462e3e91ddec6ef7d90f100c2ea954b25da127ed43e26d0c0369df9232252","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afe462e3e91ddec6ef7d90f100c2ea954b25da127ed43e26d0c0369df9232252","first_computed_at":"2026-05-18T00:30:18.010579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:18.010579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6EtAih66582FkzfokbsfjX78IRxdbD0r+nIZGLukL8Dwf4bIHSl3kdKa6DHDt3bWa0lU/8Ed+9dLncOixXdHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:18.011471Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:290d0dc9e02bc0dff6499431e4f972b17151e18b324a596539e9d33648c83e33","sha256:5a4480063148c35224fb2d37d48e7cfdd7b029d293a05e756168725211ea3be7"],"state_sha256":"2642b55c55346999baf60f1518b81e7de82ee711ffd9ec2575524266ef30817d"}