{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:A6YJDBCOTI75M2KF7ICSNQF5VH","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":"7b2c66caa7cdc8f1a1c7ebb87ab739c941502a7f8c90b95011dbbcdcf0706631","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-26T06:46:22Z","title_canon_sha256":"393c56835834b1ba9ec7bf4138347862140f4f96575600c8f1e8c278edf08b55"},"schema_version":"1.0","source":{"id":"1609.07858","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07858","created_at":"2026-05-18T00:43:35Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07858v2","created_at":"2026-05-18T00:43:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07858","created_at":"2026-05-18T00:43:35Z"},{"alias_kind":"pith_short_12","alias_value":"A6YJDBCOTI75","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A6YJDBCOTI75M2KF","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A6YJDBCO","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:2241bc835be9bba675661f8eaa6e42bd43001960c7bcb0293b6af9a956a06bfd","target":"graph","created_at":"2026-05-18T00:43:35Z","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":"Linear multistep methods (LMMs) applied to approximate the solution of initial value problems---typically arising from method-of-lines semidiscretizations of partial differential equations---are often required to have certain monotonicity or boundedness properties (e.g. strong-stability-preserving, total-variation-diminishing or total-variation-boundedness properties). These properties can be guaranteed by imposing step-size restrictions on the methods. To qualitatively describe the step-size restrictions, one introduces the concept of step-size coefficient for monotonicity (SCM, also referred","authors_text":"Lajos L\\'oczi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-26T06:46:22Z","title":"Exact optimal values of step-size coefficients for boundedness of linear multistep methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07858","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":"sha256:61eb25a01b6163d2139d6190b7b028c76173a5765da5ee5cebbab16428e24021","target":"record","created_at":"2026-05-18T00:43:35Z","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":"7b2c66caa7cdc8f1a1c7ebb87ab739c941502a7f8c90b95011dbbcdcf0706631","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-09-26T06:46:22Z","title_canon_sha256":"393c56835834b1ba9ec7bf4138347862140f4f96575600c8f1e8c278edf08b55"},"schema_version":"1.0","source":{"id":"1609.07858","kind":"arxiv","version":2}},"canonical_sha256":"07b091844e9a3fd66945fa0526c0bda9f207aa52e4973ac37384c5b543cf1c94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07b091844e9a3fd66945fa0526c0bda9f207aa52e4973ac37384c5b543cf1c94","first_computed_at":"2026-05-18T00:43:35.581708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:35.581708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bZ2tvLR2TNqnjUnISaDtOf19QADOfl+kYsxEdb4BdziieUQWkZDBYFlSvyNvGafc3508YCFe8g8FoCTHiFScBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:35.582110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07858","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61eb25a01b6163d2139d6190b7b028c76173a5765da5ee5cebbab16428e24021","sha256:2241bc835be9bba675661f8eaa6e42bd43001960c7bcb0293b6af9a956a06bfd"],"state_sha256":"409997beedd6bbbf61fad5fd7adbc1a4754d37ba267bf63a61703ca923fa39e0"}