{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QTT2GFMTH2EDOCFYNPTJGR2YPS","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":"c980f8554e71f916766ef4b8fa7b13ba1c259c43304f6a76db163b6ba33416b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-04-28T19:02:01Z","title_canon_sha256":"4fb1f13b96ffbd0e9486f90d3bc25cf44e51c497a32f25af1d31ad1d7348ebd5"},"schema_version":"1.0","source":{"id":"1504.07599","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07599","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07599v3","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07599","created_at":"2026-05-18T01:18:25Z"},{"alias_kind":"pith_short_12","alias_value":"QTT2GFMTH2ED","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QTT2GFMTH2EDOCFY","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QTT2GFMT","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:7d600faa1491a3250334d44f48654178500d9ebdf198dd0a55bbd8c9a47c2f1c","target":"graph","created_at":"2026-05-18T01:18:25Z","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":"High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for the solution of hyperbolic PDEs. The search for high order strong stability time-stepping methods with large allowable strong stability time-step has been an active area of research over the last two decades. Recently, multiderivative time-stepping methods have been implemented with hyperbolic PDEs. In this work we describe sufficient conditions for a two-derivative multistage method to be SSP, and find some optimal SSP multistage two-d","authors_text":"Andrew J. Christieb, David C. Seal, Sigal Gottlieb, Zachary J. Grant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-04-28T19:02:01Z","title":"Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07599","kind":"arxiv","version":3},"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":"sha256:63a90d4833d574869f2d7ae109323b9d611101e4d4c08e2e9fbdfba4047eb5da","target":"record","created_at":"2026-05-18T01:18:25Z","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":"c980f8554e71f916766ef4b8fa7b13ba1c259c43304f6a76db163b6ba33416b9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-04-28T19:02:01Z","title_canon_sha256":"4fb1f13b96ffbd0e9486f90d3bc25cf44e51c497a32f25af1d31ad1d7348ebd5"},"schema_version":"1.0","source":{"id":"1504.07599","kind":"arxiv","version":3}},"canonical_sha256":"84e7a315933e883708b86be69347587caac72caeb810aef5774150a4d9860aeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84e7a315933e883708b86be69347587caac72caeb810aef5774150a4d9860aeb","first_computed_at":"2026-05-18T01:18:25.519321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:25.519321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ND21f0vMDlPctz5kcy/04qVDfqAPcahmbL5teZANmarjKohfS8qPKFdPwS1lUZqO5DaInvo37c9PyoTx/sSsAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:25.519794Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07599","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63a90d4833d574869f2d7ae109323b9d611101e4d4c08e2e9fbdfba4047eb5da","sha256:7d600faa1491a3250334d44f48654178500d9ebdf198dd0a55bbd8c9a47c2f1c"],"state_sha256":"36129a34db45241346e91f49ed685febea5e63d5ad22e1244ac9ef40a7a4c180"}