{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:C2U32WENRXHD75QER3YXY3ZJ56","short_pith_number":"pith:C2U32WEN","schema_version":"1.0","canonical_sha256":"16a9bd588d8dce3ff6048ef17c6f29efbbb72f0af72825565faced9ce13ed4bc","source":{"kind":"arxiv","id":"1310.3664","version":3},"attestation_state":"computed","paper":{"title":"High order methods for irreversible equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Constanza Sanchez de la Vega, Diego Rial, Mariano De Leo","submitted_at":"2013-10-14T12:56:03Z","abstract_excerpt":"In this work, we show high order splitting methods of integration without negative steps, allowing us to solve numerically irreversible problems, like reaction-diffusion equations. The methods consist in a suitable affine combinations of Lie-Trotter schemes with different steps. We prove convergence of this methods for a large class of semi-linear problems, that includes Hamiltonian and reaction-diffusion systems."},"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":"1310.3664","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-10-14T12:56:03Z","cross_cats_sorted":[],"title_canon_sha256":"a8b7313be73001f0db29c1f217d2f08fe6581ea4084acca97f2ade6bd04f0e78","abstract_canon_sha256":"e71ae589a106e1af4afa7d9afe0996001b79c4c46ac015cfb47db345e0fb7345"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:48.619453Z","signature_b64":"4WiXUPZrn3hYy7SYw8gKz4IaNF1E0t+828I51IvQ+EJ63lJ7AAvCh3JMo94KPv+6foIgdAkY0SRBuelCY9w6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16a9bd588d8dce3ff6048ef17c6f29efbbb72f0af72825565faced9ce13ed4bc","last_reissued_at":"2026-05-18T02:39:48.618928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:48.618928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"High order methods for irreversible equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Constanza Sanchez de la Vega, Diego Rial, Mariano De Leo","submitted_at":"2013-10-14T12:56:03Z","abstract_excerpt":"In this work, we show high order splitting methods of integration without negative steps, allowing us to solve numerically irreversible problems, like reaction-diffusion equations. The methods consist in a suitable affine combinations of Lie-Trotter schemes with different steps. We prove convergence of this methods for a large class of semi-linear problems, that includes Hamiltonian and reaction-diffusion systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3664","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":"1310.3664","created_at":"2026-05-18T02:39:48.619022+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.3664v3","created_at":"2026-05-18T02:39:48.619022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.3664","created_at":"2026-05-18T02:39:48.619022+00:00"},{"alias_kind":"pith_short_12","alias_value":"C2U32WENRXHD","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"C2U32WENRXHD75QE","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"C2U32WEN","created_at":"2026-05-18T12:27:40.988391+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/C2U32WENRXHD75QER3YXY3ZJ56","json":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56.json","graph_json":"https://pith.science/api/pith-number/C2U32WENRXHD75QER3YXY3ZJ56/graph.json","events_json":"https://pith.science/api/pith-number/C2U32WENRXHD75QER3YXY3ZJ56/events.json","paper":"https://pith.science/paper/C2U32WEN"},"agent_actions":{"view_html":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56","download_json":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56.json","view_paper":"https://pith.science/paper/C2U32WEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.3664&json=true","fetch_graph":"https://pith.science/api/pith-number/C2U32WENRXHD75QER3YXY3ZJ56/graph.json","fetch_events":"https://pith.science/api/pith-number/C2U32WENRXHD75QER3YXY3ZJ56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56/action/storage_attestation","attest_author":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56/action/author_attestation","sign_citation":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56/action/citation_signature","submit_replication":"https://pith.science/pith/C2U32WENRXHD75QER3YXY3ZJ56/action/replication_record"}},"created_at":"2026-05-18T02:39:48.619022+00:00","updated_at":"2026-05-18T02:39:48.619022+00:00"}