{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KHS2J72VYKG3ML7KMMPUJECVVK","short_pith_number":"pith:KHS2J72V","canonical_record":{"source":{"id":"1901.02128","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-08T02:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"21a21eed15cb7251876e50ad037e931caa2a67324eb81b5927185ab762f3426b","abstract_canon_sha256":"e952156ad76de639282151628a196e514c8f41915c772af7c4fef8238e2cec55"},"schema_version":"1.0"},"canonical_sha256":"51e5a4ff55c28db62fea631f449055aa8ce808042a7b7f3e159e29f820f0a7fd","source":{"kind":"arxiv","id":"1901.02128","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02128","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02128v1","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02128","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"KHS2J72VYKG3","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KHS2J72VYKG3ML7K","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KHS2J72V","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KHS2J72VYKG3ML7KMMPUJECVVK","target":"record","payload":{"canonical_record":{"source":{"id":"1901.02128","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-08T02:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"21a21eed15cb7251876e50ad037e931caa2a67324eb81b5927185ab762f3426b","abstract_canon_sha256":"e952156ad76de639282151628a196e514c8f41915c772af7c4fef8238e2cec55"},"schema_version":"1.0"},"canonical_sha256":"51e5a4ff55c28db62fea631f449055aa8ce808042a7b7f3e159e29f820f0a7fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:43.953883Z","signature_b64":"bQMWkQYNMPYzCcVAIohEWIgQc3UBPK8IQ+0r4n0Y/GAI9i3cdR33+13Mvb9oURsa8ZgsA8BZSGvmvmEKJloJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51e5a4ff55c28db62fea631f449055aa8ce808042a7b7f3e159e29f820f0a7fd","last_reissued_at":"2026-05-17T23:56:43.953362Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:43.953362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.02128","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":"2026-05-17T23:56:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/8rReYLUp/VKEuMJP5MHWKSQLHwmGbQ5PD8ZHMIUcs9+po7TN5Zb2ytALlI0X738PnzzGNVkZeVlR8zjDjJAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:48:47.724881Z"},"content_sha256":"b3f9e84310ced268ff903887d1d477acbb97ceddad15587a4e0a09b892f645ac","schema_version":"1.0","event_id":"sha256:b3f9e84310ced268ff903887d1d477acbb97ceddad15587a4e0a09b892f645ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KHS2J72VYKG3ML7KMMPUJECVVK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Instability of LS-based Self-tuning Systems with Bounded Disturbances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Chanying Li, Shuai Xu","submitted_at":"2019-01-08T02:09:27Z","abstract_excerpt":"It is well known that discrete-time linear systems can be stabilized by a least-squares (LS) based self-tuning regulator (STR), as long as noises are absent. However, this note shows that once the discrete-time linear systems are disturbed, the LS-based STR is always running the risk of unstabilizing systems, no matter how small the noises are."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02128","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":"2026-05-17T23:56:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BxHG40alxUg36ApNHVHsXMrdSd9JtZZXDQI2lAUywk4dQ6j5/IXlk5nb7j3HvVGV01DZDh97oPAqoezhEGvgCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:48:47.725227Z"},"content_sha256":"5e03cf449e44d20d0babbed6fa9322d7cefd27d7287a2ed86df7c565090c78fa","schema_version":"1.0","event_id":"sha256:5e03cf449e44d20d0babbed6fa9322d7cefd27d7287a2ed86df7c565090c78fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KHS2J72VYKG3ML7KMMPUJECVVK/bundle.json","state_url":"https://pith.science/pith/KHS2J72VYKG3ML7KMMPUJECVVK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KHS2J72VYKG3ML7KMMPUJECVVK/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":"2026-06-28T06:48:47Z","links":{"resolver":"https://pith.science/pith/KHS2J72VYKG3ML7KMMPUJECVVK","bundle":"https://pith.science/pith/KHS2J72VYKG3ML7KMMPUJECVVK/bundle.json","state":"https://pith.science/pith/KHS2J72VYKG3ML7KMMPUJECVVK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KHS2J72VYKG3ML7KMMPUJECVVK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KHS2J72VYKG3ML7KMMPUJECVVK","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":"e952156ad76de639282151628a196e514c8f41915c772af7c4fef8238e2cec55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-08T02:09:27Z","title_canon_sha256":"21a21eed15cb7251876e50ad037e931caa2a67324eb81b5927185ab762f3426b"},"schema_version":"1.0","source":{"id":"1901.02128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02128","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02128v1","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02128","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"KHS2J72VYKG3","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KHS2J72VYKG3ML7K","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KHS2J72V","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:5e03cf449e44d20d0babbed6fa9322d7cefd27d7287a2ed86df7c565090c78fa","target":"graph","created_at":"2026-05-17T23:56:43Z","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":"It is well known that discrete-time linear systems can be stabilized by a least-squares (LS) based self-tuning regulator (STR), as long as noises are absent. However, this note shows that once the discrete-time linear systems are disturbed, the LS-based STR is always running the risk of unstabilizing systems, no matter how small the noises are.","authors_text":"Chanying Li, Shuai Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-08T02:09:27Z","title":"On Instability of LS-based Self-tuning Systems with Bounded Disturbances"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02128","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:b3f9e84310ced268ff903887d1d477acbb97ceddad15587a4e0a09b892f645ac","target":"record","created_at":"2026-05-17T23:56:43Z","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":"e952156ad76de639282151628a196e514c8f41915c772af7c4fef8238e2cec55","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-01-08T02:09:27Z","title_canon_sha256":"21a21eed15cb7251876e50ad037e931caa2a67324eb81b5927185ab762f3426b"},"schema_version":"1.0","source":{"id":"1901.02128","kind":"arxiv","version":1}},"canonical_sha256":"51e5a4ff55c28db62fea631f449055aa8ce808042a7b7f3e159e29f820f0a7fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51e5a4ff55c28db62fea631f449055aa8ce808042a7b7f3e159e29f820f0a7fd","first_computed_at":"2026-05-17T23:56:43.953362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:43.953362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bQMWkQYNMPYzCcVAIohEWIgQc3UBPK8IQ+0r4n0Y/GAI9i3cdR33+13Mvb9oURsa8ZgsA8BZSGvmvmEKJloJBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:43.953883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3f9e84310ced268ff903887d1d477acbb97ceddad15587a4e0a09b892f645ac","sha256:5e03cf449e44d20d0babbed6fa9322d7cefd27d7287a2ed86df7c565090c78fa"],"state_sha256":"e4e3a66ba46667b28420ff276da1e2f49b7c7604a75365b2f62b6dd3582ba796"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V5vIajK/lRB5diTwUcLUgBUKwpGReJRFvmC1+cKXVSPUAFh/XZrsa81qKiMlgCrs5xraczu1IcPWkeeAQ9JPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T06:48:47.727215Z","bundle_sha256":"8cf23f137371d26040ccaea6257fec5b8cfda6be74326666219b4ba5bd1db67f"}}