{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:33K2RNNQXK5WNYTFBOEICF377W","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":"9653b086ee1a7d88d8b7984c02ce7a29616c2c1eeaded689c8e78061b0aca3d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-09T20:59:01Z","title_canon_sha256":"4b9cd0cfd904434fb591363885b85a74574e3ee2fdc261dcfb574000c6434ed9"},"schema_version":"1.0","source":{"id":"1702.02981","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02981","created_at":"2026-05-18T00:36:43Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02981v3","created_at":"2026-05-18T00:36:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02981","created_at":"2026-05-18T00:36:43Z"},{"alias_kind":"pith_short_12","alias_value":"33K2RNNQXK5W","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"33K2RNNQXK5WNYTF","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"33K2RNNQ","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:e54dd88ad08ce7a7a5edbab18548644fabc9cae1f68d7c0e36fdf1441b0194d7","target":"graph","created_at":"2026-05-18T00:36:43Z","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":"Trigonometric time integrators are introduced as a class of explicit numerical methods for quasilinear wave equations. Second-order convergence for the semi-discretization in time with these integrators is shown for a sufficiently regular exact solution. The time integrators are also combined with a Fourier spectral method into a fully discrete scheme, for which error bounds are provided without requiring any CFL-type coupling of the discretization parameters. The proofs of the error bounds are based on energy techniques and on the semiclassical G\\aa rding inequality.","authors_text":"Fr\\'ed\\'eric Rousset, Jeremy L. Marzuola, Jianfeng Lu, Katharina Schratz, Ludwig Gauckler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-09T20:59:01Z","title":"Trigonometric integrators for quasilinear wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02981","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:ed655e249c98cc02b946a53f28e38a05ea89d17613cced1b4b9ba94d7522d0d4","target":"record","created_at":"2026-05-18T00:36:43Z","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":"9653b086ee1a7d88d8b7984c02ce7a29616c2c1eeaded689c8e78061b0aca3d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-09T20:59:01Z","title_canon_sha256":"4b9cd0cfd904434fb591363885b85a74574e3ee2fdc261dcfb574000c6434ed9"},"schema_version":"1.0","source":{"id":"1702.02981","kind":"arxiv","version":3}},"canonical_sha256":"ded5a8b5b0babb66e2650b8881177ffd8a0b9f8a918763856e330ae6675581c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ded5a8b5b0babb66e2650b8881177ffd8a0b9f8a918763856e330ae6675581c6","first_computed_at":"2026-05-18T00:36:43.484730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:43.484730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1q0S3XXI0ERd6ZAH6kwwAWPaQH526t8MNk/3FGShyKBGSZ1sJtsz37rkzATMABsj36gM8IGt0BxELVXiSTg7Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:43.485496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02981","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed655e249c98cc02b946a53f28e38a05ea89d17613cced1b4b9ba94d7522d0d4","sha256:e54dd88ad08ce7a7a5edbab18548644fabc9cae1f68d7c0e36fdf1441b0194d7"],"state_sha256":"d18f3af5123fcbfa7524a9e8168546b1ea2180c5f0ec9966696bc2765cc8402d"}