{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6S72QWNSBPU277FI3CXDLUFVEW","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":"c84892fe2236f65aedc58f534efe66b4484d91f1f2ec073df80d861b580ac4e8","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2018-06-22T14:32:00Z","title_canon_sha256":"67918a8a8f2d6d961c07d64b665a27a32826ac801aa1f1b8f9c6ec5fe1da0c2f"},"schema_version":"1.0","source":{"id":"1806.08693","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08693","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08693v1","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08693","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"6S72QWNSBPU2","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_16","alias_value":"6S72QWNSBPU277FI","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_8","alias_value":"6S72QWNS","created_at":"2026-06-04T19:12:00Z"}],"graph_snapshots":[{"event_id":"sha256:b4854ef27f16d9e10698dd37b88214dd65b8bf5e5e5fe90d2aa01309eaf83356","target":"graph","created_at":"2026-06-04T19:12:00Z","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/1806.08693/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a family of embedded pairs for optimal strong stability preserving explicit Runge-Kutta methods of order $2 \\leq p \\leq 4$ to be used to obtain numerical solution of spatially discretized hyperbolic PDEs. In this construction, the goals include non-defective methods, large region of absolute stability, and optimal error measurement as defined in [5,19]. The new family of embedded pairs offer the ability for strong stability preserving (SSP) methods to adapt by varying the step-size based on the local error estimation while maintaining their inherent nonlinear stability properties.","authors_text":"Imre Fekete, John N. Shadid, Sidafa Conde","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2018-06-22T14:32:00Z","title":"Embedded error estimation and adaptive step-size control for optimal explicit strong stability preserving Runge--Kutta methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08693","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:d193bd6914fb9397c2e79c9e8d3a4ae646e81dd8c528a56543c3b2ef914cdc8c","target":"record","created_at":"2026-06-04T19:12:00Z","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":"c84892fe2236f65aedc58f534efe66b4484d91f1f2ec073df80d861b580ac4e8","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2018-06-22T14:32:00Z","title_canon_sha256":"67918a8a8f2d6d961c07d64b665a27a32826ac801aa1f1b8f9c6ec5fe1da0c2f"},"schema_version":"1.0","source":{"id":"1806.08693","kind":"arxiv","version":1}},"canonical_sha256":"f4bfa859b20be9affca8d8ae35d0b525b7aab972bce034de47d8067ac4c6c43e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4bfa859b20be9affca8d8ae35d0b525b7aab972bce034de47d8067ac4c6c43e","first_computed_at":"2026-06-04T19:12:00.379550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:12:00.379550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+IADgXJX2VoFpNKr2f2xuHrKmSLkG82P3t9RPYyXNBNK/PG2NPzlUO0aVP3afsFnk3exeQEf2Up0JMF0DbpNBg==","signature_status":"signed_v1","signed_at":"2026-06-04T19:12:00.380020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08693","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d193bd6914fb9397c2e79c9e8d3a4ae646e81dd8c528a56543c3b2ef914cdc8c","sha256:b4854ef27f16d9e10698dd37b88214dd65b8bf5e5e5fe90d2aa01309eaf83356"],"state_sha256":"c98f2ab905874ca7ebab41919d6f477249f1b284bd9c36285b091a4cad8bd22d"}