{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PKKM2L67EXPFBNBB4MLEP55ZOI","short_pith_number":"pith:PKKM2L67","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"},"canonical_sha256":"7a94cd2fdf25de50b421e31647f7b9723c6b8af0dfc5183a56431d5bc853c297","source":{"kind":"arxiv","id":"1601.03637","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03637","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03637v2","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03637","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"pith_short_12","alias_value":"PKKM2L67EXPF","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"pith_short_16","alias_value":"PKKM2L67EXPFBNBB","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"pith_short_8","alias_value":"PKKM2L67","created_at":"2026-06-04T17:09:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PKKM2L67EXPFBNBB4MLEP55ZOI","target":"record","payload":{"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"},"canonical_sha256":"7a94cd2fdf25de50b421e31647f7b9723c6b8af0dfc5183a56431d5bc853c297","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"},"source_kind":"arxiv","source_id":"1601.03637","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":"2026-06-04T17:09:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9d/8fEDHIn1zh4OziRGOKTWzjlHjetQ7u7v8Kg5MHBMAivj3biBHOffJDO2V8zXBBULPqcfv3VVXtU/GFikIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:53:26.133986Z"},"content_sha256":"9426e34786588ceb1f1d93995183bfed57a8e574b54ba88f21a41f08e27c7811","schema_version":"1.0","event_id":"sha256:9426e34786588ceb1f1d93995183bfed57a8e574b54ba88f21a41f08e27c7811"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PKKM2L67EXPFBNBB4MLEP55ZOI","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T17:09:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MQqao6XoFqpjsY3T5FnAXt0LjfXWMql3PeKbh+u8fRtlqAcU79zhBPlYceyACdAdakW0OL22Aie77tyiiN6GDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:53:26.134378Z"},"content_sha256":"d37280043f61c4f0df8a0ba044fbe9e53d38b463f258ec40569d522b1b5680a2","schema_version":"1.0","event_id":"sha256:d37280043f61c4f0df8a0ba044fbe9e53d38b463f258ec40569d522b1b5680a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/bundle.json","state_url":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/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":"2026-07-02T20:53:26Z","links":{"resolver":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI","bundle":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/bundle.json","state":"https://pith.science/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PKKM2L67EXPFBNBB4MLEP55ZOI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PKKM2L67EXPFBNBB4MLEP55ZOI","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":"0bc6153ae865862acb76f07e4b381d856ced63855fe4085065531a2d25b138e9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-14T16:01:33Z","title_canon_sha256":"20a951e2c25984ee546ae78a37c0a012381a46a99ec57775115f73e2c2949689"},"schema_version":"1.0","source":{"id":"1601.03637","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03637","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03637v2","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03637","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"pith_short_12","alias_value":"PKKM2L67EXPF","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"pith_short_16","alias_value":"PKKM2L67EXPFBNBB","created_at":"2026-06-04T17:09:53Z"},{"alias_kind":"pith_short_8","alias_value":"PKKM2L67","created_at":"2026-06-04T17:09:53Z"}],"graph_snapshots":[{"event_id":"sha256:d37280043f61c4f0df8a0ba044fbe9e53d38b463f258ec40569d522b1b5680a2","target":"graph","created_at":"2026-06-04T17:09:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1601.03637/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"David I. Ketcheson, Yiannis Hadjimichael","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-14T16:01:33Z","title":"Strong-stability-preserving additive linear multistep methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03637","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":"sha256:9426e34786588ceb1f1d93995183bfed57a8e574b54ba88f21a41f08e27c7811","target":"record","created_at":"2026-06-04T17:09:53Z","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":"0bc6153ae865862acb76f07e4b381d856ced63855fe4085065531a2d25b138e9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-01-14T16:01:33Z","title_canon_sha256":"20a951e2c25984ee546ae78a37c0a012381a46a99ec57775115f73e2c2949689"},"schema_version":"1.0","source":{"id":"1601.03637","kind":"arxiv","version":2}},"canonical_sha256":"7a94cd2fdf25de50b421e31647f7b9723c6b8af0dfc5183a56431d5bc853c297","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a94cd2fdf25de50b421e31647f7b9723c6b8af0dfc5183a56431d5bc853c297","first_computed_at":"2026-06-04T17:09:53.101032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T17:09:53.101032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yoNM1XRUCTXdOVuhcn7oivV+fdi9q/HvnZL+jItRC2p2AntCI0B1Hcl2dUXMb/Ml1CHPgQKjHcI72ukl+yJYCA==","signature_status":"signed_v1","signed_at":"2026-06-04T17:09:53.101589Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03637","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9426e34786588ceb1f1d93995183bfed57a8e574b54ba88f21a41f08e27c7811","sha256:d37280043f61c4f0df8a0ba044fbe9e53d38b463f258ec40569d522b1b5680a2"],"state_sha256":"ab49987fa37dbe66191a4fe39a0c7a9a07979bb1f683cd3314e3bcb834bbc86f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WIcicWNRGi6hSiwy+UqAvZ4lQk890/PLAYSTM4z95iT/snuzx9Ie9ooCiIH/aq5kMqFctoHK8197WHW9klM4Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:53:26.136404Z","bundle_sha256":"8283c50054bced9aaeb15b91c1656800c327ffa9882d8ed2a552828ab9194a97"}}