{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:AKXH4DH2FSY4NSGHTDOJ4JEX3Q","short_pith_number":"pith:AKXH4DH2","schema_version":"1.0","canonical_sha256":"02ae7e0cfa2cb1c6c8c798dc9e2497dc2608e1773a4f759690ff19f510ad7c8b","source":{"kind":"arxiv","id":"1703.09958","version":2},"attestation_state":"computed","paper":{"title":"Palindromic 3-stage splitting integrators, a roadmap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"C\\'edric M. Campos, J. M. Sanz-Serna","submitted_at":"2017-03-29T10:21:51Z","abstract_excerpt":"The implementation of multi-stage splitting integrators is essentially the same as the implementation of the familiar Strang/Verlet method. Therefore multi-stage formulas may be easily incorporated into software that now uses the Strang/Verlet integrator. We study in detail the two-parameter family of palindromic, three-stage splitting formulas and identify choices of parameters that may outperform the Strang/Verlet method. One of these choices leads to a method of effective order four suitable to integrate in time some partial differential equations. Other choices may be seen as perturbations"},"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":"1703.09958","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-29T10:21:51Z","cross_cats_sorted":[],"title_canon_sha256":"579f6df6e4706669778c7ca77baaa8523c8ca86e7d60dc447d0602d6e466bc46","abstract_canon_sha256":"0dfd1f2460c9517f2e64c6cb2f678b0ac57f9251ff932edd3a91247e7e4754f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:17.801373Z","signature_b64":"6otfUqMl0Vb0kUEDPdX6gM7AKLPybS0fSkXGgjKRqfB8OmPahLiecKScHGYccbOYC5D/3yAhGhFpsvK0VUNXCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02ae7e0cfa2cb1c6c8c798dc9e2497dc2608e1773a4f759690ff19f510ad7c8b","last_reissued_at":"2026-05-18T00:41:17.800691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:17.800691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Palindromic 3-stage splitting integrators, a roadmap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"C\\'edric M. Campos, J. M. Sanz-Serna","submitted_at":"2017-03-29T10:21:51Z","abstract_excerpt":"The implementation of multi-stage splitting integrators is essentially the same as the implementation of the familiar Strang/Verlet method. Therefore multi-stage formulas may be easily incorporated into software that now uses the Strang/Verlet integrator. We study in detail the two-parameter family of palindromic, three-stage splitting formulas and identify choices of parameters that may outperform the Strang/Verlet method. One of these choices leads to a method of effective order four suitable to integrate in time some partial differential equations. Other choices may be seen as perturbations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09958","kind":"arxiv","version":2},"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":"1703.09958","created_at":"2026-05-18T00:41:17.800790+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.09958v2","created_at":"2026-05-18T00:41:17.800790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09958","created_at":"2026-05-18T00:41:17.800790+00:00"},{"alias_kind":"pith_short_12","alias_value":"AKXH4DH2FSY4","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"AKXH4DH2FSY4NSGH","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"AKXH4DH2","created_at":"2026-05-18T12:31:05.417338+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q","json":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q.json","graph_json":"https://pith.science/api/pith-number/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/graph.json","events_json":"https://pith.science/api/pith-number/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/events.json","paper":"https://pith.science/paper/AKXH4DH2"},"agent_actions":{"view_html":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q","download_json":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q.json","view_paper":"https://pith.science/paper/AKXH4DH2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.09958&json=true","fetch_graph":"https://pith.science/api/pith-number/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/graph.json","fetch_events":"https://pith.science/api/pith-number/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/action/storage_attestation","attest_author":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/action/author_attestation","sign_citation":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/action/citation_signature","submit_replication":"https://pith.science/pith/AKXH4DH2FSY4NSGHTDOJ4JEX3Q/action/replication_record"}},"created_at":"2026-05-18T00:41:17.800790+00:00","updated_at":"2026-05-18T00:41:17.800790+00:00"}