{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:GFTJDAEEXTEQAO4YA2WERBF2IG","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":"128f8fac642ef2e24c9b395d309dad29005e7a45f1e145e53366f77e49119bfe","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-14T22:46:49Z","title_canon_sha256":"051663adf2a61d79eaaf62507eb0a083b9258bfdde77eef1dd164c9859406d13"},"schema_version":"1.0","source":{"id":"2311.08578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.08578","created_at":"2026-07-05T07:12:59Z"},{"alias_kind":"arxiv_version","alias_value":"2311.08578v1","created_at":"2026-07-05T07:12:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.08578","created_at":"2026-07-05T07:12:59Z"},{"alias_kind":"pith_short_12","alias_value":"GFTJDAEEXTEQ","created_at":"2026-07-05T07:12:59Z"},{"alias_kind":"pith_short_16","alias_value":"GFTJDAEEXTEQAO4Y","created_at":"2026-07-05T07:12:59Z"},{"alias_kind":"pith_short_8","alias_value":"GFTJDAEE","created_at":"2026-07-05T07:12:59Z"}],"graph_snapshots":[{"event_id":"sha256:fe7d8c6b787db5a0bd48028f31a447a355cee92523eacf959dc4d12ec8848783","target":"graph","created_at":"2026-07-05T07:12:59Z","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/2311.08578/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When the eigenvalues of the coefficient matrix for a linear scalar ordinary differential equation are of large magnitude, its solutions exhibit complicated behaviour, such as high-frequency oscillations, rapid growth or rapid decay. The cost of representing such solutions using standard techniques grows with the magnitudes of the eigenvalues. As a consequence, the running times of most solvers for ordinary differential equations also grow with these eigenvalues. However, a large class of scalar ordinary differential equations with slowly-varying coefficients admit slowly-varying phase function","authors_text":"James Bremer, Murdock Aubry","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-14T22:46:49Z","title":"A solver for linear scalar ordinary differential equations whose running time is bounded independent of frequency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.08578","kind":"arxiv","version":1},"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":"sha256:5b604e7c0a359bfbdf889a64558945a6e8ea9b7e8d6414ee37c6b43c8fc681e2","target":"record","created_at":"2026-07-05T07:12:59Z","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":"128f8fac642ef2e24c9b395d309dad29005e7a45f1e145e53366f77e49119bfe","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-14T22:46:49Z","title_canon_sha256":"051663adf2a61d79eaaf62507eb0a083b9258bfdde77eef1dd164c9859406d13"},"schema_version":"1.0","source":{"id":"2311.08578","kind":"arxiv","version":1}},"canonical_sha256":"3166918084bcc9003b9806ac4884ba41a4d99f39dbf7b804d536d08a553dd316","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3166918084bcc9003b9806ac4884ba41a4d99f39dbf7b804d536d08a553dd316","first_computed_at":"2026-07-05T07:12:59.114563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:12:59.114563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iGYXXng7lkGBVqYP+dwzj+2xnGISANOGHjeOI5cUPKspzzChnr6yjJ9VYjvZ5Jzq/5b8uVEgiiNxThljTFRDAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:12:59.115026Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.08578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b604e7c0a359bfbdf889a64558945a6e8ea9b7e8d6414ee37c6b43c8fc681e2","sha256:fe7d8c6b787db5a0bd48028f31a447a355cee92523eacf959dc4d12ec8848783"],"state_sha256":"49dc8f14eb2c8a4a05744e7479a9087d897767ee4a481d52d0326473edce2059"}