{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PKKM2L67EXPFBNBB4MLEP55ZOI","short_pith_number":"pith:PKKM2L67","schema_version":"1.0","canonical_sha256":"7a94cd2fdf25de50b421e31647f7b9723c6b8af0dfc5183a56431d5bc853c297","source":{"kind":"arxiv","id":"1601.03637","version":2},"attestation_state":"computed","paper":{"title":"Strong-stability-preserving additive linear multistep methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"David I. Ketcheson, Yiannis Hadjimichael","submitted_at":"2016-01-14T16:01:33Z","abstract_excerpt":"The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy different forward Euler (or circle) conditions. Optimal additive and perturbed monotonicity-preserving linear multistep methods are studied in the context of such problems. Optimal perturbed methods attain larger monotonicity-preserving step sizes when the different forward Euler conditions are taken into account. On the other hand, we show that optimal SSP additive methods achieve a monotonicity-preserving step-size restri"},"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":"1601.03637","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-14T16:01:33Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"20a951e2c25984ee546ae78a37c0a012381a46a99ec57775115f73e2c2949689","abstract_canon_sha256":"0bc6153ae865862acb76f07e4b381d856ced63855fe4085065531a2d25b138e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T17:09:53.101589Z","signature_b64":"yoNM1XRUCTXdOVuhcn7oivV+fdi9q/HvnZL+jItRC2p2AntCI0B1Hcl2dUXMb/Ml1CHPgQKjHcI72ukl+yJYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a94cd2fdf25de50b421e31647f7b9723c6b8af0dfc5183a56431d5bc853c297","last_reissued_at":"2026-06-04T17:09:53.101032Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T17:09:53.101032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong-stability-preserving additive linear multistep methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"David I. Ketcheson, Yiannis Hadjimichael","submitted_at":"2016-01-14T16:01:33Z","abstract_excerpt":"The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy different forward Euler (or circle) conditions. Optimal additive and perturbed monotonicity-preserving linear multistep methods are studied in the context of such problems. Optimal perturbed methods attain larger monotonicity-preserving step sizes when the different forward Euler conditions are taken into account. On the other hand, we show that optimal SSP additive methods achieve a monotonicity-preserving step-size restri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03637","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1601.03637/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1601.03637","created_at":"2026-06-04T17:09:53.101092+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.03637v2","created_at":"2026-06-04T17:09:53.101092+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03637","created_at":"2026-06-04T17:09:53.101092+00:00"},{"alias_kind":"pith_short_12","alias_value":"PKKM2L67EXPF","created_at":"2026-06-04T17:09:53.101092+00:00"},{"alias_kind":"pith_short_16","alias_value":"PKKM2L67EXPFBNBB","created_at":"2026-06-04T17:09:53.101092+00:00"},{"alias_kind":"pith_short_8","alias_value":"PKKM2L67","created_at":"2026-06-04T17:09:53.101092+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/PKKM2L67EXPFBNBB4MLEP55ZOI","json":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI.json","graph_json":"https://pith.science/api/pith-number/PKKM2L67EXPFBNBB4MLEP55ZOI/graph.json","events_json":"https://pith.science/api/pith-number/PKKM2L67EXPFBNBB4MLEP55ZOI/events.json","paper":"https://pith.science/paper/PKKM2L67"},"agent_actions":{"view_html":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI","download_json":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI.json","view_paper":"https://pith.science/paper/PKKM2L67","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.03637&json=true","fetch_graph":"https://pith.science/api/pith-number/PKKM2L67EXPFBNBB4MLEP55ZOI/graph.json","fetch_events":"https://pith.science/api/pith-number/PKKM2L67EXPFBNBB4MLEP55ZOI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/action/storage_attestation","attest_author":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/action/author_attestation","sign_citation":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/action/citation_signature","submit_replication":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/action/replication_record"}},"created_at":"2026-06-04T17:09:53.101092+00:00","updated_at":"2026-06-04T17:09:53.101092+00:00"}