{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BDUFGVFBWAXA2TNBXUH74E42QZ","short_pith_number":"pith:BDUFGVFB","canonical_record":{"source":{"id":"1705.09619","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-26T15:23:09Z","cross_cats_sorted":[],"title_canon_sha256":"f068eacb1c80ffef48b8eb3f27e673fa6dbeb62b5a94f43f62fbd669fe6cb713","abstract_canon_sha256":"ffb1810781e5ebdeeb11cfde66cadf3fa9eb067c9d41f2668bc0e8beb816901b"},"schema_version":"1.0"},"canonical_sha256":"08e85354a1b02e0d4da1bd0ffe139a86512f1e226b14e53cdb5b589de1499438","source":{"kind":"arxiv","id":"1705.09619","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09619","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09619v4","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09619","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"BDUFGVFBWAXA","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BDUFGVFBWAXA2TNB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BDUFGVFB","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BDUFGVFBWAXA2TNBXUH74E42QZ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.09619","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-26T15:23:09Z","cross_cats_sorted":[],"title_canon_sha256":"f068eacb1c80ffef48b8eb3f27e673fa6dbeb62b5a94f43f62fbd669fe6cb713","abstract_canon_sha256":"ffb1810781e5ebdeeb11cfde66cadf3fa9eb067c9d41f2668bc0e8beb816901b"},"schema_version":"1.0"},"canonical_sha256":"08e85354a1b02e0d4da1bd0ffe139a86512f1e226b14e53cdb5b589de1499438","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:39.134072Z","signature_b64":"7KBLVm9BSHx2WcoH14IM55gD5Vr7loe7cvN/aU03dBDLy67p+5UjhnJRVZc61fyafBikdZ8dZRsl0XmtVF3CBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08e85354a1b02e0d4da1bd0ffe139a86512f1e226b14e53cdb5b589de1499438","last_reissued_at":"2026-05-18T00:33:39.133500Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:39.133500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.09619","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WiyC+t+4IpEKGHo1/FTB43va+r/+I6/11XHvvcWs/FamEny3pN8p4AWsTLNBGE50FtgOFjKXavu2qKAGEfudAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T23:44:00.309199Z"},"content_sha256":"c1ab40707101eabfc775713a87e210ba64e4fdcd6b39a6000777036198707957","schema_version":"1.0","event_id":"sha256:c1ab40707101eabfc775713a87e210ba64e4fdcd6b39a6000777036198707957"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BDUFGVFBWAXA2TNBXUH74E42QZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learning Lyapunov (Potential) Functions from Counterexamples and Demonstrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Hadi Ravanbakhsh, Sriram Sankaranarayanan","submitted_at":"2017-05-26T15:23:09Z","abstract_excerpt":"We present a technique for learning control Lyapunov (potential) functions, which are used in turn to synthesize controllers for nonlinear dynamical systems. The learning framework uses a demonstrator that implements a black-box, untrusted strategy presumed to solve the problem of interest, a learner that poses finitely many queries to the demonstrator to infer a candidate function and a verifier that checks whether the current candidate is a valid control Lyapunov function. The overall learning framework is iterative, eliminating a set of candidates on each iteration using the counterexamples"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09619","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlkNLSXn1+kTI/Dv+rFxKQ2GOYMm7q5TqtG28vqKCFq+UIMpOUNT4ZoWDW8xv3aL0AE8MTIC1OYuWChaFC06Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T23:44:00.309735Z"},"content_sha256":"910d753a37a4e1b4909eb336e8e297fb89f1851ef8b7ec981108b1f421290259","schema_version":"1.0","event_id":"sha256:910d753a37a4e1b4909eb336e8e297fb89f1851ef8b7ec981108b1f421290259"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BDUFGVFBWAXA2TNBXUH74E42QZ/bundle.json","state_url":"https://pith.science/pith/BDUFGVFBWAXA2TNBXUH74E42QZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BDUFGVFBWAXA2TNBXUH74E42QZ/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":"2026-08-21T23:44:00Z","links":{"resolver":"https://pith.science/pith/BDUFGVFBWAXA2TNBXUH74E42QZ","bundle":"https://pith.science/pith/BDUFGVFBWAXA2TNBXUH74E42QZ/bundle.json","state":"https://pith.science/pith/BDUFGVFBWAXA2TNBXUH74E42QZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BDUFGVFBWAXA2TNBXUH74E42QZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BDUFGVFBWAXA2TNBXUH74E42QZ","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":"ffb1810781e5ebdeeb11cfde66cadf3fa9eb067c9d41f2668bc0e8beb816901b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-26T15:23:09Z","title_canon_sha256":"f068eacb1c80ffef48b8eb3f27e673fa6dbeb62b5a94f43f62fbd669fe6cb713"},"schema_version":"1.0","source":{"id":"1705.09619","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09619","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09619v4","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09619","created_at":"2026-05-18T00:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"BDUFGVFBWAXA","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BDUFGVFBWAXA2TNB","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BDUFGVFB","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:910d753a37a4e1b4909eb336e8e297fb89f1851ef8b7ec981108b1f421290259","target":"graph","created_at":"2026-05-18T00:33:39Z","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 present a technique for learning control Lyapunov (potential) functions, which are used in turn to synthesize controllers for nonlinear dynamical systems. The learning framework uses a demonstrator that implements a black-box, untrusted strategy presumed to solve the problem of interest, a learner that poses finitely many queries to the demonstrator to infer a candidate function and a verifier that checks whether the current candidate is a valid control Lyapunov function. The overall learning framework is iterative, eliminating a set of candidates on each iteration using the counterexamples","authors_text":"Hadi Ravanbakhsh, Sriram Sankaranarayanan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-26T15:23:09Z","title":"Learning Lyapunov (Potential) Functions from Counterexamples and Demonstrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09619","kind":"arxiv","version":4},"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:c1ab40707101eabfc775713a87e210ba64e4fdcd6b39a6000777036198707957","target":"record","created_at":"2026-05-18T00:33:39Z","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":"ffb1810781e5ebdeeb11cfde66cadf3fa9eb067c9d41f2668bc0e8beb816901b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2017-05-26T15:23:09Z","title_canon_sha256":"f068eacb1c80ffef48b8eb3f27e673fa6dbeb62b5a94f43f62fbd669fe6cb713"},"schema_version":"1.0","source":{"id":"1705.09619","kind":"arxiv","version":4}},"canonical_sha256":"08e85354a1b02e0d4da1bd0ffe139a86512f1e226b14e53cdb5b589de1499438","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08e85354a1b02e0d4da1bd0ffe139a86512f1e226b14e53cdb5b589de1499438","first_computed_at":"2026-05-18T00:33:39.133500Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:39.133500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7KBLVm9BSHx2WcoH14IM55gD5Vr7loe7cvN/aU03dBDLy67p+5UjhnJRVZc61fyafBikdZ8dZRsl0XmtVF3CBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:39.134072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09619","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1ab40707101eabfc775713a87e210ba64e4fdcd6b39a6000777036198707957","sha256:910d753a37a4e1b4909eb336e8e297fb89f1851ef8b7ec981108b1f421290259"],"state_sha256":"1a4407e4981a3db3d9fd9b04fbcd9399bda6ecad80e1bba0c4dd66dddbe6c46b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NN/8PQbXS9VJtigbSPZv78O31Sl7L5NIoK3HInfuiqRam5e6IdfkiLiV85BdAlP5ECKRme9hEio+pfHb3YshBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T23:44:00.314673Z","bundle_sha256":"9928b8cdabec53096a768377d119fab2aa5db4baa8940f24477266b4a6f77eb3"}}