{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:ZFZM74TBPFVTFX7QWZO77KEEHN","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":"2c0649dfcc29af7448186f69d9a88aae2eb2e46a6fcbf8d477c6945d4caf6579","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-09T13:14:51Z","title_canon_sha256":"3d42dec6116272262611c600f041f522c1c209ec06f4686ba472d662df83ff60"},"schema_version":"1.0","source":{"id":"2105.03930","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.03930","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"2105.03930v2","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.03930","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZFZM74TBPFVT","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_16","alias_value":"ZFZM74TBPFVTFX7Q","created_at":"2026-07-05T03:37:42Z"},{"alias_kind":"pith_short_8","alias_value":"ZFZM74TB","created_at":"2026-07-05T03:37:42Z"}],"graph_snapshots":[{"event_id":"sha256:cd740c73474c22224377401e4c42baaab9769d6331516519e82763ddbe99a3cc","target":"graph","created_at":"2026-07-05T03:37:42Z","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/2105.03930/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, a class of arbitrarily high-order linear momentum-preserving and energy-preserving schemes are proposed, respectively, for solving the regularized long-wave equation. For the momentum-preserving scheme, the key idea is based on the extrapolation/prediction-correction technique and the symplectic Runge-Kutta method in time, together with the standard Fourier pseudo-spectral method in space. We show that the scheme is linear, high-order, unconditionally stable and preserves the discrete momentum of the system. For the energy-preserving scheme, it is mainly based on the energy quad","authors_text":"Chaolong Jiang, Jin Cui, Songhe Song, Xu Qian","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-09T13:14:51Z","title":"Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.03930","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":"sha256:71633ed826d8ee961586d9c5b4094dbf566b5589a78a7a613b9e6c19f5a61189","target":"record","created_at":"2026-07-05T03:37:42Z","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":"2c0649dfcc29af7448186f69d9a88aae2eb2e46a6fcbf8d477c6945d4caf6579","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-05-09T13:14:51Z","title_canon_sha256":"3d42dec6116272262611c600f041f522c1c209ec06f4686ba472d662df83ff60"},"schema_version":"1.0","source":{"id":"2105.03930","kind":"arxiv","version":2}},"canonical_sha256":"c972cff261796b32dff0b65dffa8843b7cd4df44033ee24d98abc935bbcf878a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c972cff261796b32dff0b65dffa8843b7cd4df44033ee24d98abc935bbcf878a","first_computed_at":"2026-07-05T03:37:42.584779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:37:42.584779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QdNmmsQFDnS4zovClRzL7k5sF5O5Tcv/djvNCXmMg/nltnNqYDTlKjAW/3a/88BRu+PyZMbG3MBbz6Ot3o9eCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:37:42.585274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.03930","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71633ed826d8ee961586d9c5b4094dbf566b5589a78a7a613b9e6c19f5a61189","sha256:cd740c73474c22224377401e4c42baaab9769d6331516519e82763ddbe99a3cc"],"state_sha256":"623c34e6f8d9bb0fc923340dd95ed33728e3bf472d6d9a3a9747e2db74c62514"}