{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:5BAXLUHBAPQGIDJGTXQRQEFQRO","short_pith_number":"pith:5BAXLUHB","schema_version":"1.0","canonical_sha256":"e84175d0e103e0640d269de11810b08bbf8303ca06a63461f1d6ec87f94bbf7f","source":{"kind":"arxiv","id":"1211.5930","version":3},"attestation_state":"computed","paper":{"title":"Partially implicit Runge-Kutta methods for wave-like equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"Isabel Cordero-Carri\\'on, Pablo Cerd\\'a-Dur\\'an","submitted_at":"2012-11-26T12:18:16Z","abstract_excerpt":"In this work we present a new class of Runge-Kutta (RK) methods for solving systems of hyperbolic equations with a particular structure, generalization of a wave-equation. The new methods are {\\it partially implicit} in the sense that a proper subset of the equations of the system contains some terms which are treated implicitly. These methods can be viewed as a particular case of the implicit-explicit (IMEX) RK methods for systems of equations with wave-like structure. For these systems, the optimal methods with the new structure are easier to derive than the IMEX ones, specially when aiming "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1211.5930","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-26T12:18:16Z","cross_cats_sorted":["gr-qc","math.MP"],"title_canon_sha256":"d7a6df5be4677a01443cacae760411e1a876457afe64f416bf1ba7af76775ecd","abstract_canon_sha256":"4b0d1264cccc495dc388b761824fb0d9b1ab6bd59f5316b43a02d10466fe3041"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:49.616653Z","signature_b64":"mgAOTGzvUFFR5eSpHoZyN//RN2RUfaHGrm7Ou9XrXUMfU6+gWlOr8QfEr+ZypM9ZwXkXzePEP/kfr8P7xpeZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e84175d0e103e0640d269de11810b08bbf8303ca06a63461f1d6ec87f94bbf7f","last_reissued_at":"2026-05-18T00:59:49.616004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:49.616004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partially implicit Runge-Kutta methods for wave-like equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"Isabel Cordero-Carri\\'on, Pablo Cerd\\'a-Dur\\'an","submitted_at":"2012-11-26T12:18:16Z","abstract_excerpt":"In this work we present a new class of Runge-Kutta (RK) methods for solving systems of hyperbolic equations with a particular structure, generalization of a wave-equation. The new methods are {\\it partially implicit} in the sense that a proper subset of the equations of the system contains some terms which are treated implicitly. These methods can be viewed as a particular case of the implicit-explicit (IMEX) RK methods for systems of equations with wave-like structure. For these systems, the optimal methods with the new structure are easier to derive than the IMEX ones, specially when aiming "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5930","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1211.5930","created_at":"2026-05-18T00:59:49.616091+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.5930v3","created_at":"2026-05-18T00:59:49.616091+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.5930","created_at":"2026-05-18T00:59:49.616091+00:00"},{"alias_kind":"pith_short_12","alias_value":"5BAXLUHBAPQG","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"5BAXLUHBAPQGIDJG","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"5BAXLUHB","created_at":"2026-05-18T12:26:53.410803+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.11401","citing_title":"Phenomenological gravitational waveforms for core-collapse supernovae","ref_index":99,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO","json":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO.json","graph_json":"https://pith.science/api/pith-number/5BAXLUHBAPQGIDJGTXQRQEFQRO/graph.json","events_json":"https://pith.science/api/pith-number/5BAXLUHBAPQGIDJGTXQRQEFQRO/events.json","paper":"https://pith.science/paper/5BAXLUHB"},"agent_actions":{"view_html":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO","download_json":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO.json","view_paper":"https://pith.science/paper/5BAXLUHB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.5930&json=true","fetch_graph":"https://pith.science/api/pith-number/5BAXLUHBAPQGIDJGTXQRQEFQRO/graph.json","fetch_events":"https://pith.science/api/pith-number/5BAXLUHBAPQGIDJGTXQRQEFQRO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO/action/storage_attestation","attest_author":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO/action/author_attestation","sign_citation":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO/action/citation_signature","submit_replication":"https://pith.science/pith/5BAXLUHBAPQGIDJGTXQRQEFQRO/action/replication_record"}},"created_at":"2026-05-18T00:59:49.616091+00:00","updated_at":"2026-05-18T00:59:49.616091+00:00"}