{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V6FRYF5JVLGENCZIMATLGL2KTW","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":"6d61330f4fc77ba6b031518c9d03d8642c62a11e65150cd231071df7c1ac6566","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-06T16:19:25Z","title_canon_sha256":"2960074f7bd84b0255e54b177a58c8b8e0406afe5fa0987139b0c7bffad2264e"},"schema_version":"1.0","source":{"id":"1712.02260","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02260","created_at":"2026-05-17T23:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02260v3","created_at":"2026-05-17T23:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02260","created_at":"2026-05-17T23:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"V6FRYF5JVLGE","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V6FRYF5JVLGENCZI","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V6FRYF5J","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:7b59e73c8926aa1e5562cb48c46eacf7ad6b8a133de3902795aa19bafbfe21ca","target":"graph","created_at":"2026-05-17T23:43:18Z","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":"To address   the issues of stability and accuracy  for reaction-diffusion equations, the development of high order and stable time-stepping methods  is necessary. This is particularly true  in the context of cardiac electrophysiology, where reaction-diffusion equations are coupled with stiff ODE systems. Many research have been led in that way in the past 15 years concerning implicit-explicit methods and exponential integrators. In 2009, Perego and Veneziani proposed an innovative time-stepping method of order 2. In this paper we present the extension of this method  to the  orders 3 and 4 and","authors_text":"Charles Pierre (LMAP), Charlie Douanla Lontsi, Yves Coudi\\`ere","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-06T16:19:25Z","title":"Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02260","kind":"arxiv","version":3},"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":"sha256:2d17aaa6f025b131e75d6e58177a41ac22ff997d26a40d28ef8171edbfc1b450","target":"record","created_at":"2026-05-17T23:43:18Z","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":"6d61330f4fc77ba6b031518c9d03d8642c62a11e65150cd231071df7c1ac6566","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-06T16:19:25Z","title_canon_sha256":"2960074f7bd84b0255e54b177a58c8b8e0406afe5fa0987139b0c7bffad2264e"},"schema_version":"1.0","source":{"id":"1712.02260","kind":"arxiv","version":3}},"canonical_sha256":"af8b1c17a9aacc468b286026b32f4a9d90d39ab3caabbaafc708b9c2f03714e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af8b1c17a9aacc468b286026b32f4a9d90d39ab3caabbaafc708b9c2f03714e9","first_computed_at":"2026-05-17T23:43:18.349484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:18.349484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nqZVowISR4tYLTCNajuEmFz4kZPTERx4EaxPC7DGuLoWYCd2tdSLRaGqPznHP6eYt3r1SFqQE51MbeRiw9j2Cw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:18.350114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02260","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d17aaa6f025b131e75d6e58177a41ac22ff997d26a40d28ef8171edbfc1b450","sha256:7b59e73c8926aa1e5562cb48c46eacf7ad6b8a133de3902795aa19bafbfe21ca"],"state_sha256":"a56f212f799ad76d63505ddf56643bdc178653e2f8294bea8f69f5bb1a5d2503"}