{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SUBWTYP4NP3HRZCDIXT5P37LR7","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":"cd31b680d8dc7eee957261df7272c91fb8397e79352180f17bad0876a9ca9cd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-06T03:41:34Z","title_canon_sha256":"40054ad3d683a9e2750b12da84f8e1c44150f28c370135a7cc4c4aeb9dea273b"},"schema_version":"1.0","source":{"id":"1805.02144","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02144","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02144v2","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02144","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"SUBWTYP4NP3H","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SUBWTYP4NP3HRZCD","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SUBWTYP4","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:1cd29c902894cb9a25daa253a48c1804fcd0464174416451be53491aac6189e8","target":"graph","created_at":"2026-05-18T00:00:56Z","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":"In this paper, we investigate the use of higher-order exponential Rosenbrock time integration methods on the shallow water equations on the sphere. This stiff, nonlinear model provides a testing ground for accurate and stable time integration methods in weather modeling, serving as the focus for exploration of novel methods for many years. We therefore identify a candidate set of three recent exponential Rosenbrock methods of orders four and five (exprb42, pexprb43 and exprb53) for use on this model. Based on their multi-stage structure, we propose a set of modifications to the phipm_IOM2 algo","authors_text":"Daniel R. Reynolds, Janusz A. Pudykiewicz, Vu Thai Luan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-06T03:41:34Z","title":"Further development of efficient and accurate time integration schemes for meteorological models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02144","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":"sha256:556320709f4837b0ef874aee60fbf9e5b63e02296f2e3f1484f695835d3c5326","target":"record","created_at":"2026-05-18T00:00:56Z","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":"cd31b680d8dc7eee957261df7272c91fb8397e79352180f17bad0876a9ca9cd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-06T03:41:34Z","title_canon_sha256":"40054ad3d683a9e2750b12da84f8e1c44150f28c370135a7cc4c4aeb9dea273b"},"schema_version":"1.0","source":{"id":"1805.02144","kind":"arxiv","version":2}},"canonical_sha256":"950369e1fc6bf678e44345e7d7efeb8fc6fcdbc261a3f024ba81599b208969dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"950369e1fc6bf678e44345e7d7efeb8fc6fcdbc261a3f024ba81599b208969dc","first_computed_at":"2026-05-18T00:00:56.062483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:56.062483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HXcUvDuXDE3Cp6otUBSrrDZop0idKgwgUZGAykG/7x6quaErXcAHzCOr0HANAB08nLJSphtC57nm3a7ejSJ0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:56.062941Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02144","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:556320709f4837b0ef874aee60fbf9e5b63e02296f2e3f1484f695835d3c5326","sha256:1cd29c902894cb9a25daa253a48c1804fcd0464174416451be53491aac6189e8"],"state_sha256":"2ba6ff09ca6a2e8af87f347fc1ae297b117374678fb8a621643fad0223ced998"}