{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QO4X6OM2HDTWBVONMWAFTGB5D5","short_pith_number":"pith:QO4X6OM2","canonical_record":{"source":{"id":"1804.06900","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-18T20:02:49Z","cross_cats_sorted":[],"title_canon_sha256":"6660c9bedcbc80011267c2e5704c1b4c4bcd2fd91d126661b6c2cfa359340011","abstract_canon_sha256":"99572fce0f35729851daeff76dd08ccbcb7ae728d1dafba0feb98587933a32b7"},"schema_version":"1.0"},"canonical_sha256":"83b97f399a38e760d5cd658059983d1f60d4b3f366c9b7049ca85b40a80ea9e5","source":{"kind":"arxiv","id":"1804.06900","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06900","created_at":"2026-05-18T00:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06900v2","created_at":"2026-05-18T00:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06900","created_at":"2026-05-18T00:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"QO4X6OM2HDTW","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QO4X6OM2HDTWBVON","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QO4X6OM2","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QO4X6OM2HDTWBVONMWAFTGB5D5","target":"record","payload":{"canonical_record":{"source":{"id":"1804.06900","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-18T20:02:49Z","cross_cats_sorted":[],"title_canon_sha256":"6660c9bedcbc80011267c2e5704c1b4c4bcd2fd91d126661b6c2cfa359340011","abstract_canon_sha256":"99572fce0f35729851daeff76dd08ccbcb7ae728d1dafba0feb98587933a32b7"},"schema_version":"1.0"},"canonical_sha256":"83b97f399a38e760d5cd658059983d1f60d4b3f366c9b7049ca85b40a80ea9e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:30.058640Z","signature_b64":"AW/Y/yFgP1VM4idGVELQMWz84OKCeO3QVdk0nsAo4SSps+v+uMLRtgQGtDHupH+9yym1b+I+btRPHWdfee9jCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83b97f399a38e760d5cd658059983d1f60d4b3f366c9b7049ca85b40a80ea9e5","last_reissued_at":"2026-05-18T00:04:30.058201Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:30.058201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.06900","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qFzSBzXpB7gflHeaImCZn3T9Fd2jngu5kU1799cn84YIzKFVzor56aaj+TvpKoSAtvDRrWV+uMlXrHQfjJ9JCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:34:00.469767Z"},"content_sha256":"d77baa959d7709d2ff42284771ca13663c3b83e733241648a5916cf401261ed1","schema_version":"1.0","event_id":"sha256:d77baa959d7709d2ff42284771ca13663c3b83e733241648a5916cf401261ed1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QO4X6OM2HDTWBVONMWAFTGB5D5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unconditional Stability for Multistep ImEx Schemes: Practice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Benjamin Seibold, David Shirokoff, Dong Zhou","submitted_at":"2018-04-18T20:02:49Z","abstract_excerpt":"This paper focuses on the question of how unconditional stability can be achieved via multistep ImEx schemes, in practice problems where both the implicit and explicit terms are allowed to be stiff. For a class of new ImEx multistep schemes that involve a free parameter, strategies are presented on how to choose the ImEx splitting and the time stepping parameter, so that unconditional stability is achieved under the smallest approximation errors. These strategies are based on recently developed stability concepts, which also provide novel insights into the limitations of existing semi-implicit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06900","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Bx7IX7Y8J1OWnOTi56rYJiwtssti3YmIqGlBSYpm/n7walGG47p0UF1ZdOaNRAVCV20E7sjN7xSFlJmZKSUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T14:34:00.470121Z"},"content_sha256":"9c0616c97118a096e3a5bc314bb1a8fff448403932fd5ec7721bbbde4dac8392","schema_version":"1.0","event_id":"sha256:9c0616c97118a096e3a5bc314bb1a8fff448403932fd5ec7721bbbde4dac8392"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QO4X6OM2HDTWBVONMWAFTGB5D5/bundle.json","state_url":"https://pith.science/pith/QO4X6OM2HDTWBVONMWAFTGB5D5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QO4X6OM2HDTWBVONMWAFTGB5D5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T14:34:00Z","links":{"resolver":"https://pith.science/pith/QO4X6OM2HDTWBVONMWAFTGB5D5","bundle":"https://pith.science/pith/QO4X6OM2HDTWBVONMWAFTGB5D5/bundle.json","state":"https://pith.science/pith/QO4X6OM2HDTWBVONMWAFTGB5D5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QO4X6OM2HDTWBVONMWAFTGB5D5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QO4X6OM2HDTWBVONMWAFTGB5D5","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":"99572fce0f35729851daeff76dd08ccbcb7ae728d1dafba0feb98587933a32b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-18T20:02:49Z","title_canon_sha256":"6660c9bedcbc80011267c2e5704c1b4c4bcd2fd91d126661b6c2cfa359340011"},"schema_version":"1.0","source":{"id":"1804.06900","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06900","created_at":"2026-05-18T00:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06900v2","created_at":"2026-05-18T00:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06900","created_at":"2026-05-18T00:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"QO4X6OM2HDTW","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QO4X6OM2HDTWBVON","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QO4X6OM2","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:9c0616c97118a096e3a5bc314bb1a8fff448403932fd5ec7721bbbde4dac8392","target":"graph","created_at":"2026-05-18T00:04:30Z","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":"This paper focuses on the question of how unconditional stability can be achieved via multistep ImEx schemes, in practice problems where both the implicit and explicit terms are allowed to be stiff. For a class of new ImEx multistep schemes that involve a free parameter, strategies are presented on how to choose the ImEx splitting and the time stepping parameter, so that unconditional stability is achieved under the smallest approximation errors. These strategies are based on recently developed stability concepts, which also provide novel insights into the limitations of existing semi-implicit","authors_text":"Benjamin Seibold, David Shirokoff, Dong Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-18T20:02:49Z","title":"Unconditional Stability for Multistep ImEx Schemes: Practice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06900","kind":"arxiv","version":2},"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:d77baa959d7709d2ff42284771ca13663c3b83e733241648a5916cf401261ed1","target":"record","created_at":"2026-05-18T00:04:30Z","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":"99572fce0f35729851daeff76dd08ccbcb7ae728d1dafba0feb98587933a32b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-18T20:02:49Z","title_canon_sha256":"6660c9bedcbc80011267c2e5704c1b4c4bcd2fd91d126661b6c2cfa359340011"},"schema_version":"1.0","source":{"id":"1804.06900","kind":"arxiv","version":2}},"canonical_sha256":"83b97f399a38e760d5cd658059983d1f60d4b3f366c9b7049ca85b40a80ea9e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83b97f399a38e760d5cd658059983d1f60d4b3f366c9b7049ca85b40a80ea9e5","first_computed_at":"2026-05-18T00:04:30.058201Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:30.058201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AW/Y/yFgP1VM4idGVELQMWz84OKCeO3QVdk0nsAo4SSps+v+uMLRtgQGtDHupH+9yym1b+I+btRPHWdfee9jCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:30.058640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06900","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d77baa959d7709d2ff42284771ca13663c3b83e733241648a5916cf401261ed1","sha256:9c0616c97118a096e3a5bc314bb1a8fff448403932fd5ec7721bbbde4dac8392"],"state_sha256":"9bd45c114de593dbdf1d8b2d2460313d09a7755d6a22069d7d28236fc483e9a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R8FmnCV9GhVXhnJhxW8ZmvaztLJzHkwfhfrPVXVs/p10C/PNppMi1ieTXLYZu1VdQGPUa5/L3wL4vOSmd9CeDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T14:34:00.472097Z","bundle_sha256":"af3f805970d644ef5419e69bb3b99da37e62a0bbde5502d97bea7b5a5a5b9010"}}