{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Q4QCMC7VHGTFJOYIID4S4QK7PK","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":"7674e56e9f42d66f0f078cc5d53ba3f77e995bf7e4db3caafeec89608eb7f865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-13T17:13:11Z","title_canon_sha256":"b1e33ded206ad6d8ee214882da13cf3e1875c35ed92c683f1c7d5a59104a5336"},"schema_version":"1.0","source":{"id":"1807.05182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05182","created_at":"2026-05-17T23:56:47Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05182v1","created_at":"2026-05-17T23:56:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05182","created_at":"2026-05-17T23:56:47Z"},{"alias_kind":"pith_short_12","alias_value":"Q4QCMC7VHGTF","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q4QCMC7VHGTFJOYI","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q4QCMC7V","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:8c8aaac4252824cbad113817540edbd6d80c35aaf45312bda7aba06b2c173685","target":"graph","created_at":"2026-05-17T23:56:47Z","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 study the geometric solution of the so called \"good\" Boussinesq equation. This goal is achieved by using a convenient space semi-discretization, able to preserve the corresponding Hamiltonian structure, then using energy-conserving Runge-Kutta methods in the HBVM class for the time integration. Numerical tests are reported, confirming the effectiveness of the proposed method.","authors_text":"Chengjian Zhang, Gianmarco Gurioli, Luigi Brugnano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-13T17:13:11Z","title":"Spectrally Accurate Energy-preserving Methods for the Numerical Solution of the \"Good\" Boussinesq Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05182","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":"sha256:27ba4b7e5514c82e0ce5f3f45352f6222b2f39e04635d2e64f1c18420dbb1a9a","target":"record","created_at":"2026-05-17T23:56:47Z","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":"7674e56e9f42d66f0f078cc5d53ba3f77e995bf7e4db3caafeec89608eb7f865","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-13T17:13:11Z","title_canon_sha256":"b1e33ded206ad6d8ee214882da13cf3e1875c35ed92c683f1c7d5a59104a5336"},"schema_version":"1.0","source":{"id":"1807.05182","kind":"arxiv","version":1}},"canonical_sha256":"8720260bf539a654bb0840f92e415f7aaad7e73ebd6e13051a51a7c1c4daa262","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8720260bf539a654bb0840f92e415f7aaad7e73ebd6e13051a51a7c1c4daa262","first_computed_at":"2026-05-17T23:56:47.660334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:47.660334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/MFmZEtGERsdLxMLjawrEr/iFwlt2+Wb8hvXzjvvvDhWroZwX1PZ0+JfImO8bwFrLsUPyHK5X55Jrq3LyAJ1DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:47.660898Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27ba4b7e5514c82e0ce5f3f45352f6222b2f39e04635d2e64f1c18420dbb1a9a","sha256:8c8aaac4252824cbad113817540edbd6d80c35aaf45312bda7aba06b2c173685"],"state_sha256":"88b59794806def965fe1f9485e47c04c1141310e2a161572054696833558f0f1"}