{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HZ2SNRCGNAHHAOS6Z2D6ALEXXA","short_pith_number":"pith:HZ2SNRCG","canonical_record":{"source":{"id":"2607.02851","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-07-03T01:06:50Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"889ae87c24d7e6754b416416e822dc05b1ee993a3bc6cdf91d2ac8dbcceedd83","abstract_canon_sha256":"89a9554970b2f3a348510b10630c1158e6387d4654f7e25a11000aa5225cedeb"},"schema_version":"1.0"},"canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","source":{"kind":"arxiv","id":"2607.02851","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.02851","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"2607.02851v1","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02851","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"HZ2SNRCGNAHH","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"pith_short_16","alias_value":"HZ2SNRCGNAHHAOS6","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"pith_short_8","alias_value":"HZ2SNRCG","created_at":"2026-07-07T00:16:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HZ2SNRCGNAHHAOS6Z2D6ALEXXA","target":"record","payload":{"canonical_record":{"source":{"id":"2607.02851","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-07-03T01:06:50Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"889ae87c24d7e6754b416416e822dc05b1ee993a3bc6cdf91d2ac8dbcceedd83","abstract_canon_sha256":"89a9554970b2f3a348510b10630c1158e6387d4654f7e25a11000aa5225cedeb"},"schema_version":"1.0"},"canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T00:16:20.709424Z","signature_b64":"yx2lAsaXL5Xe1fvmi3B3owuK+ab+tu6A5MD6YR5wdFdkOXur453uNJW1dVbOp6d8A922h1jI8ytD8qRiqohFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","last_reissued_at":"2026-07-07T00:16:20.708663Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T00:16:20.708663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.02851","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-07T00:16:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jmseqF2HxZsC2EWmxWqRAZo4FSpCB+01i5OfkFj8lpLEzisIfT60mihzLR1wO3Fjospxc6gkSLyQk6A359AzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:02:47.989571Z"},"content_sha256":"d7a410f8163ee3826f76a0528c7bd0749a6f7814eb5c98952d61eb294697ea9a","schema_version":"1.0","event_id":"sha256:d7a410f8163ee3826f76a0528c7bd0749a6f7814eb5c98952d61eb294697ea9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HZ2SNRCGNAHHAOS6Z2D6ALEXXA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-driven Kernel-based Predictive Control with Stability and Robustness Guarantees","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"eess.SY","authors_text":"Gang Wang, Lihua Xie, Wenjie Liu, Yifei Li","submitted_at":"2026-07-03T01:06:50Z","abstract_excerpt":"In this paper, we provide a theoretical analysis of the closed-loop properties of a data-driven kernel-based predictive control (DDKPC) scheme developed solely from input-output data. The proposed formulation integrates a robust data-driven predictive control framework with a multi-step predictor for nonlinear systems constructed via kernel-based methods. This predictor implicitly captures the system's nonlinear behavior using the representer theorem. For the nominal case with noise-free data, we prove that the DDKPC scheme guarantees recursive feasibility and closed-loop stability, provided t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02851","kind":"arxiv","version":1},"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/2607.02851/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":"2026-07-07T00:16:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/s1/1T8u1FN9MoEBHXOcUcQ2wL2fxEEcJXitkReeCjoNh9oh8opo5sCa+ypEVx7SkoTyG73DZUBm4W/oR3bsDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:02:48.059645Z"},"content_sha256":"acab86926948e14715d6119032770c4109d22844f8bedfce2775181d1c2d1040","schema_version":"1.0","event_id":"sha256:acab86926948e14715d6119032770c4109d22844f8bedfce2775181d1c2d1040"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/bundle.json","state_url":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/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":"2026-08-18T01:02:48Z","links":{"resolver":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA","bundle":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/bundle.json","state":"https://pith.science/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZ2SNRCGNAHHAOS6Z2D6ALEXXA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HZ2SNRCGNAHHAOS6Z2D6ALEXXA","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":"89a9554970b2f3a348510b10630c1158e6387d4654f7e25a11000aa5225cedeb","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-07-03T01:06:50Z","title_canon_sha256":"889ae87c24d7e6754b416416e822dc05b1ee993a3bc6cdf91d2ac8dbcceedd83"},"schema_version":"1.0","source":{"id":"2607.02851","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.02851","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"2607.02851v1","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02851","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"HZ2SNRCGNAHH","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"pith_short_16","alias_value":"HZ2SNRCGNAHHAOS6","created_at":"2026-07-07T00:16:20Z"},{"alias_kind":"pith_short_8","alias_value":"HZ2SNRCG","created_at":"2026-07-07T00:16:20Z"}],"graph_snapshots":[{"event_id":"sha256:acab86926948e14715d6119032770c4109d22844f8bedfce2775181d1c2d1040","target":"graph","created_at":"2026-07-07T00:16:20Z","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/2607.02851/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we provide a theoretical analysis of the closed-loop properties of a data-driven kernel-based predictive control (DDKPC) scheme developed solely from input-output data. The proposed formulation integrates a robust data-driven predictive control framework with a multi-step predictor for nonlinear systems constructed via kernel-based methods. This predictor implicitly captures the system's nonlinear behavior using the representer theorem. For the nominal case with noise-free data, we prove that the DDKPC scheme guarantees recursive feasibility and closed-loop stability, provided t","authors_text":"Gang Wang, Lihua Xie, Wenjie Liu, Yifei Li","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-07-03T01:06:50Z","title":"Data-driven Kernel-based Predictive Control with Stability and Robustness Guarantees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02851","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:d7a410f8163ee3826f76a0528c7bd0749a6f7814eb5c98952d61eb294697ea9a","target":"record","created_at":"2026-07-07T00:16:20Z","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":"89a9554970b2f3a348510b10630c1158e6387d4654f7e25a11000aa5225cedeb","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SY","submitted_at":"2026-07-03T01:06:50Z","title_canon_sha256":"889ae87c24d7e6754b416416e822dc05b1ee993a3bc6cdf91d2ac8dbcceedd83"},"schema_version":"1.0","source":{"id":"2607.02851","kind":"arxiv","version":1}},"canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e7526c446680e703a5ece87e02c97b835b766830678110c4c483ac6dd2513c8","first_computed_at":"2026-07-07T00:16:20.708663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T00:16:20.708663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yx2lAsaXL5Xe1fvmi3B3owuK+ab+tu6A5MD6YR5wdFdkOXur453uNJW1dVbOp6d8A922h1jI8ytD8qRiqohFCA==","signature_status":"signed_v1","signed_at":"2026-07-07T00:16:20.709424Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.02851","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7a410f8163ee3826f76a0528c7bd0749a6f7814eb5c98952d61eb294697ea9a","sha256:acab86926948e14715d6119032770c4109d22844f8bedfce2775181d1c2d1040"],"state_sha256":"95ca53c5363f2989d85e44082de37864f35424cb93b61efe5e2b375544c3dbc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qMTql1BnNQjhcCajytN8i91oSi8WcDrWP4MyQbHkc0cSs79mU+06EvQzCMrnJ2c98BqQUueA0QC6G7MUWSZGCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T01:02:48.087178Z","bundle_sha256":"ccaf87d7d5db7c18613af00a0e91e09ff7071ef8c53265fa33aa84017f1ac575"}}