{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7GX77MERJ4VARGK7GEJNKC77B5","short_pith_number":"pith:7GX77MER","canonical_record":{"source":{"id":"2403.03413","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-06T02:40:53Z","cross_cats_sorted":[],"title_canon_sha256":"54b3bf40a72b85ce7fdf1f99a33c5db6278f3da2931f11f5f222e9e5ade85ea8","abstract_canon_sha256":"1f4d55bef91663a27f98949ddc342be60f993d9a82c3286949177e795bfa88ab"},"schema_version":"1.0"},"canonical_sha256":"f9afffb0914f2a08995f3112d50bff0f453914e3bc5c3d6aab2909cd0ba821f2","source":{"kind":"arxiv","id":"2403.03413","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.03413","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"arxiv_version","alias_value":"2403.03413v2","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.03413","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"pith_short_12","alias_value":"7GX77MERJ4VA","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"pith_short_16","alias_value":"7GX77MERJ4VARGK7","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"pith_short_8","alias_value":"7GX77MER","created_at":"2026-07-05T11:50:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7GX77MERJ4VARGK7GEJNKC77B5","target":"record","payload":{"canonical_record":{"source":{"id":"2403.03413","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-06T02:40:53Z","cross_cats_sorted":[],"title_canon_sha256":"54b3bf40a72b85ce7fdf1f99a33c5db6278f3da2931f11f5f222e9e5ade85ea8","abstract_canon_sha256":"1f4d55bef91663a27f98949ddc342be60f993d9a82c3286949177e795bfa88ab"},"schema_version":"1.0"},"canonical_sha256":"f9afffb0914f2a08995f3112d50bff0f453914e3bc5c3d6aab2909cd0ba821f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:20.159902Z","signature_b64":"9ieTdN8BPB/SXnd7JN7gK/bSUJvad1M5naXQDjzAcLa0x3iGYj8Fi5BCbyYDVE6nIXt5AjldbzisJSghKunmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9afffb0914f2a08995f3112d50bff0f453914e3bc5c3d6aab2909cd0ba821f2","last_reissued_at":"2026-07-05T11:50:20.159467Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:20.159467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.03413","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:50:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h4HsjhDrHbND2DXsgX+A3QSlY6cVEQVVDfeVh+GjVxFZwMRqs8CJn8aSgfdD3xU/fnxVEVm1ytLtxQ2wVC3JBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:57:06.993053Z"},"content_sha256":"f0c3bd292cc59e84ca585a3c73432f2894b3ae25ef46890a9aad373adc79784e","schema_version":"1.0","event_id":"sha256:f0c3bd292cc59e84ca585a3c73432f2894b3ae25ef46890a9aad373adc79784e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7GX77MERJ4VARGK7GEJNKC77B5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Online Learning and Control Synthesis for Reachable Paths of Unknown Nonlinear Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Jesse Wei, Melkior Ornik, Taha Shafa, Yiming Meng","submitted_at":"2024-03-06T02:40:53Z","abstract_excerpt":"In this paper, we present a novel method to drive a nonlinear system to a desired state, with limited a priori knowledge of its dynamic model: local dynamics at a single point and the bounds on the rate of change of these dynamics. This method synthesizes control actions by utilizing locally learned dynamics along a trajectory, based on data available up to that moment, and known proxy dynamics, which can generate an underapproximation of the unknown system's true reachable set. An important benefit to the contributions of this paper is the lack of knowledge needed to execute the presented con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.03413","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.03413/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:50:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eq+qF+wt23D3LfD8kO1O0UuIqu77BAuiErVOzJaNGdP09Iv6QehdHQLW+x9BjdhUsQv58ndw2FjMgFOMrRbgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:57:06.993565Z"},"content_sha256":"7d37e1a19d68fbceec7b0a28c75a60e98ec7e022bbf85149862f210665501bb9","schema_version":"1.0","event_id":"sha256:7d37e1a19d68fbceec7b0a28c75a60e98ec7e022bbf85149862f210665501bb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GX77MERJ4VARGK7GEJNKC77B5/bundle.json","state_url":"https://pith.science/pith/7GX77MERJ4VARGK7GEJNKC77B5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GX77MERJ4VARGK7GEJNKC77B5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T06:57:06Z","links":{"resolver":"https://pith.science/pith/7GX77MERJ4VARGK7GEJNKC77B5","bundle":"https://pith.science/pith/7GX77MERJ4VARGK7GEJNKC77B5/bundle.json","state":"https://pith.science/pith/7GX77MERJ4VARGK7GEJNKC77B5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GX77MERJ4VARGK7GEJNKC77B5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7GX77MERJ4VARGK7GEJNKC77B5","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":"1f4d55bef91663a27f98949ddc342be60f993d9a82c3286949177e795bfa88ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-06T02:40:53Z","title_canon_sha256":"54b3bf40a72b85ce7fdf1f99a33c5db6278f3da2931f11f5f222e9e5ade85ea8"},"schema_version":"1.0","source":{"id":"2403.03413","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.03413","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"arxiv_version","alias_value":"2403.03413v2","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.03413","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"pith_short_12","alias_value":"7GX77MERJ4VA","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"pith_short_16","alias_value":"7GX77MERJ4VARGK7","created_at":"2026-07-05T11:50:20Z"},{"alias_kind":"pith_short_8","alias_value":"7GX77MER","created_at":"2026-07-05T11:50:20Z"}],"graph_snapshots":[{"event_id":"sha256:7d37e1a19d68fbceec7b0a28c75a60e98ec7e022bbf85149862f210665501bb9","target":"graph","created_at":"2026-07-05T11:50:20Z","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/2403.03413/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we present a novel method to drive a nonlinear system to a desired state, with limited a priori knowledge of its dynamic model: local dynamics at a single point and the bounds on the rate of change of these dynamics. This method synthesizes control actions by utilizing locally learned dynamics along a trajectory, based on data available up to that moment, and known proxy dynamics, which can generate an underapproximation of the unknown system's true reachable set. An important benefit to the contributions of this paper is the lack of knowledge needed to execute the presented con","authors_text":"Jesse Wei, Melkior Ornik, Taha Shafa, Yiming Meng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-06T02:40:53Z","title":"Online Learning and Control Synthesis for Reachable Paths of Unknown Nonlinear Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.03413","kind":"arxiv","version":2},"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:f0c3bd292cc59e84ca585a3c73432f2894b3ae25ef46890a9aad373adc79784e","target":"record","created_at":"2026-07-05T11:50:20Z","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":"1f4d55bef91663a27f98949ddc342be60f993d9a82c3286949177e795bfa88ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-03-06T02:40:53Z","title_canon_sha256":"54b3bf40a72b85ce7fdf1f99a33c5db6278f3da2931f11f5f222e9e5ade85ea8"},"schema_version":"1.0","source":{"id":"2403.03413","kind":"arxiv","version":2}},"canonical_sha256":"f9afffb0914f2a08995f3112d50bff0f453914e3bc5c3d6aab2909cd0ba821f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9afffb0914f2a08995f3112d50bff0f453914e3bc5c3d6aab2909cd0ba821f2","first_computed_at":"2026-07-05T11:50:20.159467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:50:20.159467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9ieTdN8BPB/SXnd7JN7gK/bSUJvad1M5naXQDjzAcLa0x3iGYj8Fi5BCbyYDVE6nIXt5AjldbzisJSghKunmBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:50:20.159902Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.03413","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0c3bd292cc59e84ca585a3c73432f2894b3ae25ef46890a9aad373adc79784e","sha256:7d37e1a19d68fbceec7b0a28c75a60e98ec7e022bbf85149862f210665501bb9"],"state_sha256":"0f14fdb9cd5ea7e8b04f4bcfa8c29cccddf8f44ac603c296ad6212219dabe54a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PiG/2fcMPuXylAHhnFFWQlno500+LKHqs9bUiCaTcXyrC49CsVIZ3Owe8tE+KQYc/TJEvJxAWfh3CKoxcfK0Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T06:57:06.998863Z","bundle_sha256":"7d27fb904ed0c804a3e1eed1515283a3243b2850a50d14caae9aef1e019126f4"}}