{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZMNNXG6RC6Y63HDRC4L2YHBIR4","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":"a3bb52d493a3457b7bd8855bf67b961886343b5678ba2e83a76d87a3e39c44e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-23T03:50:15Z","title_canon_sha256":"be690b39e2eeed191a0fc8cb6f64906ac36067af7186b0e1d4eb4202fbaace9c"},"schema_version":"1.0","source":{"id":"1807.08421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.08421","created_at":"2026-05-18T00:08:20Z"},{"alias_kind":"arxiv_version","alias_value":"1807.08421v1","created_at":"2026-05-18T00:08:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.08421","created_at":"2026-05-18T00:08:20Z"},{"alias_kind":"pith_short_12","alias_value":"ZMNNXG6RC6Y6","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZMNNXG6RC6Y63HDR","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZMNNXG6R","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:23cbbb60960841639e2e6a26c063f691c423b6581ef81fe30d8c432c61874dd6","target":"graph","created_at":"2026-05-18T00:08:20Z","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":"Recently, the numerical solution of multi-frequency, highly-oscillatory Hamiltonian problems has been attacked by using Hamiltonian Boundary Value Methods (HBVMs) as spectral methods in time. When the problem derives from the space semi- discretization of (possibly Hamiltonian) partial differential equations (PDEs), the resulting problem may be stiffly-oscillatory, rather than highly-oscillatory. In such a case, a different implementation of the methods is needed, in order to gain the maximum efficiency.","authors_text":"Felice Iavernaro, Juan I. Montijano, Luigi Brugnano, Luis R\\`andez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-23T03:50:15Z","title":"Spectrally accurate space-time solution of Hamiltonian PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.08421","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:b5c7a95805ac4a3835083a15d72a550151baa44b048aa26e43e5230af34b07eb","target":"record","created_at":"2026-05-18T00:08:20Z","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":"a3bb52d493a3457b7bd8855bf67b961886343b5678ba2e83a76d87a3e39c44e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-23T03:50:15Z","title_canon_sha256":"be690b39e2eeed191a0fc8cb6f64906ac36067af7186b0e1d4eb4202fbaace9c"},"schema_version":"1.0","source":{"id":"1807.08421","kind":"arxiv","version":1}},"canonical_sha256":"cb1adb9bd117b1ed9c711717ac1c288f1dfbe4274663ba0b2ad0c9f5b8205bf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb1adb9bd117b1ed9c711717ac1c288f1dfbe4274663ba0b2ad0c9f5b8205bf8","first_computed_at":"2026-05-18T00:08:20.425195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:20.425195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xm4FiQlq/HnEbLzpjIRR47REXiYdRfqIPRoW7mwXjmRtzvaGpVUs6uHBV9e3qBm5WD4bjdgSxSC5LPtvhiRJCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:20.425849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.08421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5c7a95805ac4a3835083a15d72a550151baa44b048aa26e43e5230af34b07eb","sha256:23cbbb60960841639e2e6a26c063f691c423b6581ef81fe30d8c432c61874dd6"],"state_sha256":"cc37b50c99af48df835a9a0f57c255bbc2857405c3a16c3b6e6666ab43ed8105"}