{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TQOJE7A2FUNO4UR26L3HSAFXUS","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":"1321e064931ea3d663c4903b307349d47b331b19856042db6fee3cea22cda9c7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-26T10:47:59Z","title_canon_sha256":"074fc8ae57d17dced32b07d698c55b30db3db192aa818dcc8091d5381f135018"},"schema_version":"1.0","source":{"id":"2508.18920","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.18920","created_at":"2026-07-05T11:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"2508.18920v1","created_at":"2026-07-05T11:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.18920","created_at":"2026-07-05T11:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"TQOJE7A2FUNO","created_at":"2026-07-05T11:59:33Z"},{"alias_kind":"pith_short_16","alias_value":"TQOJE7A2FUNO4UR2","created_at":"2026-07-05T11:59:33Z"},{"alias_kind":"pith_short_8","alias_value":"TQOJE7A2","created_at":"2026-07-05T11:59:33Z"}],"graph_snapshots":[{"event_id":"sha256:bfbd259bde6a61332113973611b7df636cc3438d95b7bb2e9676ef338b938ce7","target":"graph","created_at":"2026-07-05T11:59:33Z","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/2508.18920/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neural ordinary differential equations (neural ODEs) are a popular type of deep learning model that operate with continuous-depth architectures. To assess how well such models perform on unseen data, it is crucial to understand their generalization error bounds. Previous research primarily focused on the linear case for the dynamics function in neural ODEs - Marion, P. (2023), or provided bounds for Neural Controlled ODEs that depend on the sampling interval Bleistein et al. (2023). In this work, we analyze a broader class of neural ODEs where the dynamics function is a general nonlinear funct","authors_text":"Madhusudan Verma, Manoj Kumar","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-26T10:47:59Z","title":"Generalization Bound for a General Class of Neural Ordinary Differential Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.18920","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:b61d73efc19b4ee7829ca96b8cc81c8de14f5969fee52414adf0bc568a026c10","target":"record","created_at":"2026-07-05T11:59:33Z","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":"1321e064931ea3d663c4903b307349d47b331b19856042db6fee3cea22cda9c7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-26T10:47:59Z","title_canon_sha256":"074fc8ae57d17dced32b07d698c55b30db3db192aa818dcc8091d5381f135018"},"schema_version":"1.0","source":{"id":"2508.18920","kind":"arxiv","version":1}},"canonical_sha256":"9c1c927c1a2d1aee523af2f67900b7a48baf1192b8a2fe2011635ca18ac3bb1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c1c927c1a2d1aee523af2f67900b7a48baf1192b8a2fe2011635ca18ac3bb1f","first_computed_at":"2026-07-05T11:59:33.751404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:33.751404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2XJu07VqoBCryhXC5Z4YyQcvW2siXPu8bsOnEeghInJqLcJur+TqqyZBI8Yn4jtr25WAZc+Y32J0yzTkBQOFDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:33.751879Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.18920","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b61d73efc19b4ee7829ca96b8cc81c8de14f5969fee52414adf0bc568a026c10","sha256:bfbd259bde6a61332113973611b7df636cc3438d95b7bb2e9676ef338b938ce7"],"state_sha256":"285e10b95335a76116f4bbb1f2b220e2bc8197af9870884bee849eaa4537655a"}