{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MVJJONBMIYHOFTDCMRGQEMVE2E","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":"607f4199f9042d0770b952cd63ef5ddf56c9f8b26225d3a04e4d8bfae5b14149","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-04T11:51:36Z","title_canon_sha256":"115ea4d0da9c1e64156742848e11f691334dd80e8d971cb50b2bd66628bd36e8"},"schema_version":"1.0","source":{"id":"1109.0703","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0703","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0703v1","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0703","created_at":"2026-05-18T04:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"MVJJONBMIYHO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MVJJONBMIYHOFTDC","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MVJJONBM","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:6d1995a1a41e529aee50b490d4c0daab938bcee717b6be45024ab43599d190b8","target":"graph","created_at":"2026-05-18T04:14:06Z","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":"A new numerical method for solving a scalar ordinary differential equation with a given initial condition is introduced. The method is using a numerical integration procedure for an equivalent integral equation and is called in this paper an integrating method. Bound to specific constraints, the method returns an approximate solution assuredly within a given tolerance provided by a user. This makes it different from a large variety of single- and multi-step methods for solving initial value problems that provide results up to some undefined error in the form O(h^k), where h is a step size and ","authors_text":"Alexander Lozovskiy","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-04T11:51:36Z","title":"The method of solving a scalar initial value problem with a required tolerance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0703","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":"sha256:2598698b0ec654b830e62796b023e257fc95c02b81a6cb161d4f7d0f69dc6be4","target":"record","created_at":"2026-05-18T04:14:06Z","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":"607f4199f9042d0770b952cd63ef5ddf56c9f8b26225d3a04e4d8bfae5b14149","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-04T11:51:36Z","title_canon_sha256":"115ea4d0da9c1e64156742848e11f691334dd80e8d971cb50b2bd66628bd36e8"},"schema_version":"1.0","source":{"id":"1109.0703","kind":"arxiv","version":1}},"canonical_sha256":"655297342c460ee2cc62644d0232a4d11fd3d1518c0688a4e7c77fc59a3c59e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"655297342c460ee2cc62644d0232a4d11fd3d1518c0688a4e7c77fc59a3c59e8","first_computed_at":"2026-05-18T04:14:06.958550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:06.958550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"osq4NA3JGjGL/YP6DxnKbm3cqWCkyKsVx34NyJQ/ehYPrSfIn7Egb5kR1dbshXC/unDR5SL9BnFYY8jtap74Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:06.959018Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0703","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2598698b0ec654b830e62796b023e257fc95c02b81a6cb161d4f7d0f69dc6be4","sha256:6d1995a1a41e529aee50b490d4c0daab938bcee717b6be45024ab43599d190b8"],"state_sha256":"0edaf53575f1347ff6a91939146c7c80e4a6069311cf3720c5a8d51985ad3e31"}