{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PA6C5KZWOZE2RXLP6AP2WPUBKX","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":"27edf960ba10386099a793af6d30c3f0f866cbd9051e10e714b530cb06e4d6bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-02-22T15:35:07Z","title_canon_sha256":"5fd6a0a793b73791c6cfa0e3a984873056bd725b940484a4514947a210c5cea7"},"schema_version":"1.0","source":{"id":"1702.06851","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.06851","created_at":"2026-05-18T00:33:21Z"},{"alias_kind":"arxiv_version","alias_value":"1702.06851v2","created_at":"2026-05-18T00:33:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06851","created_at":"2026-05-18T00:33:21Z"},{"alias_kind":"pith_short_12","alias_value":"PA6C5KZWOZE2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PA6C5KZWOZE2RXLP","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PA6C5KZW","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:305d2ddddcd9864dedf3550f46d77961d37d2a415d64a2488c9009bdb8e7e85f","target":"graph","created_at":"2026-05-18T00:33:21Z","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":"The spectral renormalization method was introduced by Ablowitz and Musslimani in 2005, [Opt. Lett. 30, pp. 2140-2142] as an effective way to numerically compute (time-independent) bound states for certain nonlinear boundary value problems. % of the nonlinear Schr\\\"odinger (NLS), Gross-Pitaevskii and water wave type equations to mention a few. In this paper, we extend those ideas to the time domain and introduce a time-dependent spectral renormalization method as a numerical means to simulate linear and nonlinear evolution equations. The essence of the method is to convert the underlying evolut","authors_text":"Justin T. Cole, Ziad H. Musslimani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-02-22T15:35:07Z","title":"Time-dependent spectral renormalization method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06851","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":"sha256:65dff039b38b721681aaea35bc221c1e7f90a9e997216eb3be4a4cac08c8529b","target":"record","created_at":"2026-05-18T00:33:21Z","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":"27edf960ba10386099a793af6d30c3f0f866cbd9051e10e714b530cb06e4d6bf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-02-22T15:35:07Z","title_canon_sha256":"5fd6a0a793b73791c6cfa0e3a984873056bd725b940484a4514947a210c5cea7"},"schema_version":"1.0","source":{"id":"1702.06851","kind":"arxiv","version":2}},"canonical_sha256":"783c2eab367649a8dd6ff01fab3e8155e5c5e75457e2276b159ae75131995a23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"783c2eab367649a8dd6ff01fab3e8155e5c5e75457e2276b159ae75131995a23","first_computed_at":"2026-05-18T00:33:21.344110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:21.344110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NRnROV19u6p5erzMBoK5mJPhUVjPi4EEKCw56yf2ZSG6wlra4xMmuFYV/6tCarCZZm5Osn/VzYMajEp9N+npCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:21.344682Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.06851","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65dff039b38b721681aaea35bc221c1e7f90a9e997216eb3be4a4cac08c8529b","sha256:305d2ddddcd9864dedf3550f46d77961d37d2a415d64a2488c9009bdb8e7e85f"],"state_sha256":"59331ddd1e1e82ffd229216c6e4bc9ad14e285528729fada2fd16634cec755d5"}