{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4HZR44V3D47JEQ5E54LBX42BYG","short_pith_number":"pith:4HZR44V3","canonical_record":{"source":{"id":"1209.1729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-08T16:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"03f03fd30bd7d68899bb7a69b8eafd84272bc6b832fb87cafb81d06903bb2cd6","abstract_canon_sha256":"e60c568ab9474de13d5f2e01471f02510dd4f29f215ceca3f60e88f399782786"},"schema_version":"1.0"},"canonical_sha256":"e1f31e72bb1f3e9243a4ef161bf341c1bbea302412f5427bf13c073211e41702","source":{"kind":"arxiv","id":"1209.1729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1729","created_at":"2026-05-18T03:45:54Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1729v1","created_at":"2026-05-18T03:45:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1729","created_at":"2026-05-18T03:45:54Z"},{"alias_kind":"pith_short_12","alias_value":"4HZR44V3D47J","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4HZR44V3D47JEQ5E","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4HZR44V3","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4HZR44V3D47JEQ5E54LBX42BYG","target":"record","payload":{"canonical_record":{"source":{"id":"1209.1729","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-08T16:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"03f03fd30bd7d68899bb7a69b8eafd84272bc6b832fb87cafb81d06903bb2cd6","abstract_canon_sha256":"e60c568ab9474de13d5f2e01471f02510dd4f29f215ceca3f60e88f399782786"},"schema_version":"1.0"},"canonical_sha256":"e1f31e72bb1f3e9243a4ef161bf341c1bbea302412f5427bf13c073211e41702","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:54.521520Z","signature_b64":"jXUeBUX6yhNPzeLot2gTHF5vIH4nMO1ssqBRyUwizLAzOHF/OeTrB1X3zhw3IXQMr2uEQ2Buz9Ti3PH0jqr3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1f31e72bb1f3e9243a4ef161bf341c1bbea302412f5427bf13c073211e41702","last_reissued_at":"2026-05-18T03:45:54.520670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:54.520670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.1729","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":"2026-05-18T03:45:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UnBC3twlthzwPB9Vgc36SyG3i/mftCrTJyH2FFb3wabPceX3eAB6X74kPNH7Wo0YegZ3wQ0N67l87EviUU+hDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T18:08:03.900137Z"},"content_sha256":"fb0eb086185a046e29d29b1df116ae199315cc6a87414697fddf4f9b9a1eeb96","schema_version":"1.0","event_id":"sha256:fb0eb086185a046e29d29b1df116ae199315cc6a87414697fddf4f9b9a1eeb96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4HZR44V3D47JEQ5E54LBX42BYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robustness of Nonlinear Predictor Feedback Laws to Time- and State-Dependent Delay Perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Miroslav Krstic, Nikolaos Bekiaris-Liberis","submitted_at":"2012-09-08T16:17:00Z","abstract_excerpt":"Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay variations as unknown and study robustness of nominal constant-delay predictor feedbacks under delay variations that depend on time and the state. We show that when the delay perturbation and its rate have sufficiently small magnitude, the local asymptotic stability of the closed-loop system, under the nominal predictor-based design, is preserved. For the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1729","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":""},"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":"2026-05-18T03:45:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BEQ6fVcumQykRZ0qABQyY6njNxZQb+U2GXkMhIkYNBHbnTb62EoIrmVaKXskyPQqEzHP2YX5lOEH8A6MmwDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T18:08:03.900540Z"},"content_sha256":"3e96dad735119ee870ac09f165469aaa681fe247abcb6d432d9018b8b5613a8e","schema_version":"1.0","event_id":"sha256:3e96dad735119ee870ac09f165469aaa681fe247abcb6d432d9018b8b5613a8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4HZR44V3D47JEQ5E54LBX42BYG/bundle.json","state_url":"https://pith.science/pith/4HZR44V3D47JEQ5E54LBX42BYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4HZR44V3D47JEQ5E54LBX42BYG/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":"2026-06-10T18:08:03Z","links":{"resolver":"https://pith.science/pith/4HZR44V3D47JEQ5E54LBX42BYG","bundle":"https://pith.science/pith/4HZR44V3D47JEQ5E54LBX42BYG/bundle.json","state":"https://pith.science/pith/4HZR44V3D47JEQ5E54LBX42BYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4HZR44V3D47JEQ5E54LBX42BYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4HZR44V3D47JEQ5E54LBX42BYG","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":"e60c568ab9474de13d5f2e01471f02510dd4f29f215ceca3f60e88f399782786","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-08T16:17:00Z","title_canon_sha256":"03f03fd30bd7d68899bb7a69b8eafd84272bc6b832fb87cafb81d06903bb2cd6"},"schema_version":"1.0","source":{"id":"1209.1729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1729","created_at":"2026-05-18T03:45:54Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1729v1","created_at":"2026-05-18T03:45:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1729","created_at":"2026-05-18T03:45:54Z"},{"alias_kind":"pith_short_12","alias_value":"4HZR44V3D47J","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4HZR44V3D47JEQ5E","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4HZR44V3","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:3e96dad735119ee870ac09f165469aaa681fe247abcb6d432d9018b8b5613a8e","target":"graph","created_at":"2026-05-18T03:45:54Z","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":"Much recent progress has been achieved for stabilization of linear and nonlinear systems with input delays that are long and dependent on either time or the plant state---provided the dependence is known. In this paper we consider the delay variations as unknown and study robustness of nominal constant-delay predictor feedbacks under delay variations that depend on time and the state. We show that when the delay perturbation and its rate have sufficiently small magnitude, the local asymptotic stability of the closed-loop system, under the nominal predictor-based design, is preserved. For the s","authors_text":"Miroslav Krstic, Nikolaos Bekiaris-Liberis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-08T16:17:00Z","title":"Robustness of Nonlinear Predictor Feedback Laws to Time- and State-Dependent Delay Perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1729","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:fb0eb086185a046e29d29b1df116ae199315cc6a87414697fddf4f9b9a1eeb96","target":"record","created_at":"2026-05-18T03:45:54Z","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":"e60c568ab9474de13d5f2e01471f02510dd4f29f215ceca3f60e88f399782786","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-09-08T16:17:00Z","title_canon_sha256":"03f03fd30bd7d68899bb7a69b8eafd84272bc6b832fb87cafb81d06903bb2cd6"},"schema_version":"1.0","source":{"id":"1209.1729","kind":"arxiv","version":1}},"canonical_sha256":"e1f31e72bb1f3e9243a4ef161bf341c1bbea302412f5427bf13c073211e41702","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1f31e72bb1f3e9243a4ef161bf341c1bbea302412f5427bf13c073211e41702","first_computed_at":"2026-05-18T03:45:54.520670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:54.520670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jXUeBUX6yhNPzeLot2gTHF5vIH4nMO1ssqBRyUwizLAzOHF/OeTrB1X3zhw3IXQMr2uEQ2Buz9Ti3PH0jqr3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:54.521520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb0eb086185a046e29d29b1df116ae199315cc6a87414697fddf4f9b9a1eeb96","sha256:3e96dad735119ee870ac09f165469aaa681fe247abcb6d432d9018b8b5613a8e"],"state_sha256":"876396328c17495b1deaa389ce858bb42ce25ccbc42d557d6cacca786a01a5a1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twcpkOjWFPO86hWcHQ46OVTb346qAS4a8BwCLIRcV0cHh8Z2lLEf7k8WiSCksjX1XBjGCZMfU3swShjecpAbBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T18:08:03.902579Z","bundle_sha256":"2a3c0647f5ea66ccc26ba9fc46d3f3519c04c5adc473bbc92b561bee9a380dee"}}