{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YJNT6ZS3WCKMX7WRVRCLBN47EC","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":"52bd69c8545f32e04f2efeb4c369a54e12a42d513fcb0a6029ced117f19c1858","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-05T13:44:24Z","title_canon_sha256":"2fa8de616de2f74b37fb0c0e3d226a53822efba9d41dedd641526de4c406a6b7"},"schema_version":"1.0","source":{"id":"1506.01912","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01912","created_at":"2026-05-18T01:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01912v1","created_at":"2026-05-18T01:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01912","created_at":"2026-05-18T01:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"YJNT6ZS3WCKM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YJNT6ZS3WCKMX7WR","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YJNT6ZS3","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:fdfb4ffb70e11de080eb97d7988b9c394fae2d594429f12bb5a3dfae47f97a87","target":"graph","created_at":"2026-05-18T01:55:58Z","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":"We propose and analyze a variation of the Euler scheme for state constrained ordinary differential inclusions under weak assumptions on the right-hand side and the state constraints. Convergence results are given for the space-continuous and the space-discrete versions of this scheme, and a numerical example illustrates in which sense these limits have to be interpreted.","authors_text":"Janosch Rieger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-05T13:44:24Z","title":"The Euler scheme for state constrained ordinary differential inclusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01912","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:d60ce5829fe7cd3ec92dcd1849e040497876d09d9176723809653e551171ee4e","target":"record","created_at":"2026-05-18T01:55:58Z","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":"52bd69c8545f32e04f2efeb4c369a54e12a42d513fcb0a6029ced117f19c1858","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-06-05T13:44:24Z","title_canon_sha256":"2fa8de616de2f74b37fb0c0e3d226a53822efba9d41dedd641526de4c406a6b7"},"schema_version":"1.0","source":{"id":"1506.01912","kind":"arxiv","version":1}},"canonical_sha256":"c25b3f665bb094cbfed1ac44b0b79f2098a3a399eed0be11c22ba40774461fac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c25b3f665bb094cbfed1ac44b0b79f2098a3a399eed0be11c22ba40774461fac","first_computed_at":"2026-05-18T01:55:58.948172Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:58.948172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3qMix99xgVbLmpyDmkM3PacfdBwHb7j2cj4qnCsmkZZr1wrhnUGbEqab8morZEVln2w7UFhYxJlK10biEwtXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:58.948693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01912","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d60ce5829fe7cd3ec92dcd1849e040497876d09d9176723809653e551171ee4e","sha256:fdfb4ffb70e11de080eb97d7988b9c394fae2d594429f12bb5a3dfae47f97a87"],"state_sha256":"fa96eb30bff10305f59838106378e1f0c6a40e81717ccaacb2b62567bdb2d9d4"}