{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:434H7NVFM2ZT3QZJ7BQ5HUCB7K","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":"e5db154e352a9bce6f0c65e14bae15f61a46e3804270904578addef356daec23","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-07T12:17:54Z","title_canon_sha256":"4589b0f379f39e79bfb650f0c72bda4d4e5867723f292c9e9522ac118c510f39"},"schema_version":"1.0","source":{"id":"1712.02581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02581","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02581v1","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02581","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"434H7NVFM2ZT","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"434H7NVFM2ZT3QZJ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"434H7NVF","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:935789c567c29ac0863f7dc2651bfa6c15d27227117a295d57a9c47e1670c88d","target":"graph","created_at":"2026-05-18T00:16:29Z","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 group classification of first-order delay ordinary differential equation (DODE) accompanied by an equation for delay parameter (delay relation) is presented. A subset of such systems (delay ordinary differential systems or DODSs) which consists of linear DODEs and solution independent delay relations have infinite-dimensional symmetry algebras, as do nonlinear ones that are linearizable by an invertible transformation of variables. Genuinely nonlinear DODSs have symmetry algebras of dimension $n$, $0 \\leq n \\leq 3$. It is shown how exact analytical solutions of invariant DODSs can be obtaine","authors_text":"Pavel Winternitz, Roman Kozlov, Sergey V. Meleshko, Vladimir A. Dorodnitsyn","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-07T12:17:54Z","title":"Lie group classification of first-order delay ordinary differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02581","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":"sha256:9e95ec3a8a259fdc3d47fd2f325bf9bc9cc68cc71d00626d54474a450fa5567b","target":"record","created_at":"2026-05-18T00:16:29Z","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":"e5db154e352a9bce6f0c65e14bae15f61a46e3804270904578addef356daec23","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-07T12:17:54Z","title_canon_sha256":"4589b0f379f39e79bfb650f0c72bda4d4e5867723f292c9e9522ac118c510f39"},"schema_version":"1.0","source":{"id":"1712.02581","kind":"arxiv","version":1}},"canonical_sha256":"e6f87fb6a566b33dc329f861d3d041fa8f154d2daa3702142f204eed5a4c26c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6f87fb6a566b33dc329f861d3d041fa8f154d2daa3702142f204eed5a4c26c0","first_computed_at":"2026-05-18T00:16:29.961510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:29.961510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JesYqnic/VXJX6UZHcgOBYfUQ81GtZKGL/K45JhgwffpcqwcYFCEMR8JpWOdPPnQ84XPMet0z8/qYeP78cCqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:29.961944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e95ec3a8a259fdc3d47fd2f325bf9bc9cc68cc71d00626d54474a450fa5567b","sha256:935789c567c29ac0863f7dc2651bfa6c15d27227117a295d57a9c47e1670c88d"],"state_sha256":"14d868a18956df81df9483ccb3eb0219f1bbec37dc8b191ab0c043694cf201bf"}