{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:W6QJC2HTABVEYKPFLQNEBZGMJN","short_pith_number":"pith:W6QJC2HT","canonical_record":{"source":{"id":"2503.17581","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-03-21T23:36:20Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"39ed8b0dc90effde4046ca8c0c788b4e68cbf4094058d49d535d27d0e55fe71c","abstract_canon_sha256":"f7c8a4c2b4dcadb4a28b25f6542b90fa272107d13d3edebe62e4c60de0722853"},"schema_version":"1.0"},"canonical_sha256":"b7a09168f3006a4c29e55c1a40e4cc4b620f809a98856dea2bd963073791923f","source":{"kind":"arxiv","id":"2503.17581","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.17581","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"2503.17581v2","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.17581","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"W6QJC2HTABVE","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"pith_short_16","alias_value":"W6QJC2HTABVEYKPF","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"pith_short_8","alias_value":"W6QJC2HT","created_at":"2026-05-20T01:04:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:W6QJC2HTABVEYKPFLQNEBZGMJN","target":"record","payload":{"canonical_record":{"source":{"id":"2503.17581","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-03-21T23:36:20Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"39ed8b0dc90effde4046ca8c0c788b4e68cbf4094058d49d535d27d0e55fe71c","abstract_canon_sha256":"f7c8a4c2b4dcadb4a28b25f6542b90fa272107d13d3edebe62e4c60de0722853"},"schema_version":"1.0"},"canonical_sha256":"b7a09168f3006a4c29e55c1a40e4cc4b620f809a98856dea2bd963073791923f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T01:04:53.090130Z","signature_b64":"0gR8aoq68+bXo369FgKxpZ5DWJ4s6skRKeS5afREux0s6+M2xtstsTyyTMeQBdcjskkvtej7TWWOT3WOoZvcBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7a09168f3006a4c29e55c1a40e4cc4b620f809a98856dea2bd963073791923f","last_reissued_at":"2026-05-20T01:04:53.089167Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T01:04:53.089167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.17581","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":"2026-05-20T01:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EdKn0ztAEt0dxPQ5UWNysMB1nzqQjQLthTS+HBqkl7a51cp2KNSkfv1deSxL2c/imKujKcF02Ybwkf242tZvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:07:33.424875Z"},"content_sha256":"c70c55b9db63e8793884ebc23b852fa41ba63d3957ab7803cc5c973e89e86f61","schema_version":"1.0","event_id":"sha256:c70c55b9db63e8793884ebc23b852fa41ba63d3957ab7803cc5c973e89e86f61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:W6QJC2HTABVEYKPFLQNEBZGMJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-optimal neural feedback control of nilpotent systems as a binary classification problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Dante Kalise, Nelly Villamizar, Samuel Gue, Sara Bicego","submitted_at":"2025-03-21T23:36:20Z","abstract_excerpt":"A computational method for the synthesis of time-optimal feedback control laws for linear nilpotent systems is proposed. The method is based on the use of the bang-bang theorem, which leads to a characterization of the time-optimal trajectory as a parameter-dependent polynomial system for the control switching sequence. A deflated Newton's method is then applied to exhaust all the real roots of the polynomial system. The root-finding procedure is informed by the Hermite quadratic form, which provides a sharp estimate on the number of real roots to be found. In the second part of the paper, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.17581","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/2503.17581/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":"2026-05-20T01:04:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pDmCs7IyCRES5guEUPMyFVjPOg9BHXe7/dZ1YHXYOHc2ZPk9gOH6EiN239bS9anjvYGXY7Wl9KuFpmF1ltgkDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:07:33.425639Z"},"content_sha256":"385793de99098ed633f3bb1a6abc8dcd9096f1bce38de3da2104f1ab36fdc880","schema_version":"1.0","event_id":"sha256:385793de99098ed633f3bb1a6abc8dcd9096f1bce38de3da2104f1ab36fdc880"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W6QJC2HTABVEYKPFLQNEBZGMJN/bundle.json","state_url":"https://pith.science/pith/W6QJC2HTABVEYKPFLQNEBZGMJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W6QJC2HTABVEYKPFLQNEBZGMJN/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":"2026-05-27T23:07:33Z","links":{"resolver":"https://pith.science/pith/W6QJC2HTABVEYKPFLQNEBZGMJN","bundle":"https://pith.science/pith/W6QJC2HTABVEYKPFLQNEBZGMJN/bundle.json","state":"https://pith.science/pith/W6QJC2HTABVEYKPFLQNEBZGMJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W6QJC2HTABVEYKPFLQNEBZGMJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:W6QJC2HTABVEYKPFLQNEBZGMJN","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":"f7c8a4c2b4dcadb4a28b25f6542b90fa272107d13d3edebe62e4c60de0722853","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-03-21T23:36:20Z","title_canon_sha256":"39ed8b0dc90effde4046ca8c0c788b4e68cbf4094058d49d535d27d0e55fe71c"},"schema_version":"1.0","source":{"id":"2503.17581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.17581","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"2503.17581v2","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.17581","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"W6QJC2HTABVE","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"pith_short_16","alias_value":"W6QJC2HTABVEYKPF","created_at":"2026-05-20T01:04:53Z"},{"alias_kind":"pith_short_8","alias_value":"W6QJC2HT","created_at":"2026-05-20T01:04:53Z"}],"graph_snapshots":[{"event_id":"sha256:385793de99098ed633f3bb1a6abc8dcd9096f1bce38de3da2104f1ab36fdc880","target":"graph","created_at":"2026-05-20T01:04:53Z","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/2503.17581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A computational method for the synthesis of time-optimal feedback control laws for linear nilpotent systems is proposed. The method is based on the use of the bang-bang theorem, which leads to a characterization of the time-optimal trajectory as a parameter-dependent polynomial system for the control switching sequence. A deflated Newton's method is then applied to exhaust all the real roots of the polynomial system. The root-finding procedure is informed by the Hermite quadratic form, which provides a sharp estimate on the number of real roots to be found. In the second part of the paper, the","authors_text":"Dante Kalise, Nelly Villamizar, Samuel Gue, Sara Bicego","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-03-21T23:36:20Z","title":"Time-optimal neural feedback control of nilpotent systems as a binary classification problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.17581","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:c70c55b9db63e8793884ebc23b852fa41ba63d3957ab7803cc5c973e89e86f61","target":"record","created_at":"2026-05-20T01:04:53Z","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":"f7c8a4c2b4dcadb4a28b25f6542b90fa272107d13d3edebe62e4c60de0722853","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-03-21T23:36:20Z","title_canon_sha256":"39ed8b0dc90effde4046ca8c0c788b4e68cbf4094058d49d535d27d0e55fe71c"},"schema_version":"1.0","source":{"id":"2503.17581","kind":"arxiv","version":2}},"canonical_sha256":"b7a09168f3006a4c29e55c1a40e4cc4b620f809a98856dea2bd963073791923f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7a09168f3006a4c29e55c1a40e4cc4b620f809a98856dea2bd963073791923f","first_computed_at":"2026-05-20T01:04:53.089167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T01:04:53.089167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0gR8aoq68+bXo369FgKxpZ5DWJ4s6skRKeS5afREux0s6+M2xtstsTyyTMeQBdcjskkvtej7TWWOT3WOoZvcBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T01:04:53.090130Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.17581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c70c55b9db63e8793884ebc23b852fa41ba63d3957ab7803cc5c973e89e86f61","sha256:385793de99098ed633f3bb1a6abc8dcd9096f1bce38de3da2104f1ab36fdc880"],"state_sha256":"3c67bbec4ccf6236a0024be026cbcea16f96847a43b1a4bedebcd910f58630b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gW+mJN45ar70Mz6C+QgqTKPtFi8X9yGA4TpNHowKTLz7JY9UtA4bIByvxysqquUDqSuZqfk7WTdHWV9eZushDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:07:33.429538Z","bundle_sha256":"80a1a7e8e28d499ff4f94a783f0816d977f5cb35a4019f68d79868a68a033849"}}