{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JE64ADQPRK5QEQHFAGPMDEYU4H","short_pith_number":"pith:JE64ADQP","canonical_record":{"source":{"id":"2409.11351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T16:53:47Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"70b0bb5ea5e6e8269c461b5c9980443088f5a51e6ae8b501dc120e31c862ca14","abstract_canon_sha256":"1dc946ee65b1d06d1cb4202d614cc2998bcc0183d9208ddf2fe412cabab8d373"},"schema_version":"1.0"},"canonical_sha256":"493dc00e0f8abb0240e5019ec19314e1d57342702a189a2b1dd0eff7351e8676","source":{"kind":"arxiv","id":"2409.11351","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.11351","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"2409.11351v2","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.11351","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"JE64ADQPRK5Q","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_16","alias_value":"JE64ADQPRK5QEQHF","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_8","alias_value":"JE64ADQP","created_at":"2026-07-05T09:48:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JE64ADQPRK5QEQHFAGPMDEYU4H","target":"record","payload":{"canonical_record":{"source":{"id":"2409.11351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T16:53:47Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"70b0bb5ea5e6e8269c461b5c9980443088f5a51e6ae8b501dc120e31c862ca14","abstract_canon_sha256":"1dc946ee65b1d06d1cb4202d614cc2998bcc0183d9208ddf2fe412cabab8d373"},"schema_version":"1.0"},"canonical_sha256":"493dc00e0f8abb0240e5019ec19314e1d57342702a189a2b1dd0eff7351e8676","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:36.089875Z","signature_b64":"0dTrQK4dFL/UEf8zbDiBaKVnjgLUWEODaU37nowpdik2z7YErM5lCngQVpn+iISYpixSXPKVctka5B65NMJKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"493dc00e0f8abb0240e5019ec19314e1d57342702a189a2b1dd0eff7351e8676","last_reissued_at":"2026-07-05T09:48:36.089395Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:36.089395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.11351","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":"2026-07-05T09:48:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbcGrUDAWakD8MibH22XQYLyDGqSxDpu0SbI1J8ZEfb1/vOfSotXN2Yo2o1TOF2IviLpy4uN5uE55Z+lpEYPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T01:46:11.724715Z"},"content_sha256":"24ca00e734e70f7b97788795da1d069268c67955245ed40b5196e5f3de5d6c83","schema_version":"1.0","event_id":"sha256:24ca00e734e70f7b97788795da1d069268c67955245ed40b5196e5f3de5d6c83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JE64ADQPRK5QEQHFAGPMDEYU4H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Closed-loop Analysis of ADMM-based Suboptimal Linear Model Predictive Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.OC","authors_text":"Anusha Srikanthan, Aren Karapetyan, Nikolai Matni, Vijay Kumar","submitted_at":"2024-09-17T16:53:47Z","abstract_excerpt":"Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of iterations of the optimization algorithm used to compute control actions at each time step, resulting in so-called suboptimal MPC. This paper proposes a suboptimal MPC scheme based on the alternating direction method of multipliers (ADMM). With a focus on the linear quadratic regulator problem with state and input constraints, we show how ADMM can be used to split th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.11351","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/2409.11351/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":"2026-07-05T09:48:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zjf0eiOsKW7y9PFBa/eTYJh4o35xnf78WZFuoDlJmv0PQPCEuj1ZcuMOvcriQP5tljBeFWXP1o52N1nEyuluDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T01:46:11.725295Z"},"content_sha256":"6cccbab254323e341dc2fa09561b8b9ae9a49ae6b94ed3669b74469eab99103e","schema_version":"1.0","event_id":"sha256:6cccbab254323e341dc2fa09561b8b9ae9a49ae6b94ed3669b74469eab99103e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JE64ADQPRK5QEQHFAGPMDEYU4H/bundle.json","state_url":"https://pith.science/pith/JE64ADQPRK5QEQHFAGPMDEYU4H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JE64ADQPRK5QEQHFAGPMDEYU4H/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":"2026-08-14T01:46:11Z","links":{"resolver":"https://pith.science/pith/JE64ADQPRK5QEQHFAGPMDEYU4H","bundle":"https://pith.science/pith/JE64ADQPRK5QEQHFAGPMDEYU4H/bundle.json","state":"https://pith.science/pith/JE64ADQPRK5QEQHFAGPMDEYU4H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JE64ADQPRK5QEQHFAGPMDEYU4H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JE64ADQPRK5QEQHFAGPMDEYU4H","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":"1dc946ee65b1d06d1cb4202d614cc2998bcc0183d9208ddf2fe412cabab8d373","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T16:53:47Z","title_canon_sha256":"70b0bb5ea5e6e8269c461b5c9980443088f5a51e6ae8b501dc120e31c862ca14"},"schema_version":"1.0","source":{"id":"2409.11351","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.11351","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"arxiv_version","alias_value":"2409.11351v2","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.11351","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_12","alias_value":"JE64ADQPRK5Q","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_16","alias_value":"JE64ADQPRK5QEQHF","created_at":"2026-07-05T09:48:36Z"},{"alias_kind":"pith_short_8","alias_value":"JE64ADQP","created_at":"2026-07-05T09:48:36Z"}],"graph_snapshots":[{"event_id":"sha256:6cccbab254323e341dc2fa09561b8b9ae9a49ae6b94ed3669b74469eab99103e","target":"graph","created_at":"2026-07-05T09:48:36Z","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/2409.11351/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of iterations of the optimization algorithm used to compute control actions at each time step, resulting in so-called suboptimal MPC. This paper proposes a suboptimal MPC scheme based on the alternating direction method of multipliers (ADMM). With a focus on the linear quadratic regulator problem with state and input constraints, we show how ADMM can be used to split th","authors_text":"Anusha Srikanthan, Aren Karapetyan, Nikolai Matni, Vijay Kumar","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T16:53:47Z","title":"Closed-loop Analysis of ADMM-based Suboptimal Linear Model Predictive Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.11351","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":"sha256:24ca00e734e70f7b97788795da1d069268c67955245ed40b5196e5f3de5d6c83","target":"record","created_at":"2026-07-05T09:48:36Z","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":"1dc946ee65b1d06d1cb4202d614cc2998bcc0183d9208ddf2fe412cabab8d373","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-09-17T16:53:47Z","title_canon_sha256":"70b0bb5ea5e6e8269c461b5c9980443088f5a51e6ae8b501dc120e31c862ca14"},"schema_version":"1.0","source":{"id":"2409.11351","kind":"arxiv","version":2}},"canonical_sha256":"493dc00e0f8abb0240e5019ec19314e1d57342702a189a2b1dd0eff7351e8676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"493dc00e0f8abb0240e5019ec19314e1d57342702a189a2b1dd0eff7351e8676","first_computed_at":"2026-07-05T09:48:36.089395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:36.089395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0dTrQK4dFL/UEf8zbDiBaKVnjgLUWEODaU37nowpdik2z7YErM5lCngQVpn+iISYpixSXPKVctka5B65NMJKBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:36.089875Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.11351","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24ca00e734e70f7b97788795da1d069268c67955245ed40b5196e5f3de5d6c83","sha256:6cccbab254323e341dc2fa09561b8b9ae9a49ae6b94ed3669b74469eab99103e"],"state_sha256":"265d2757d4116c005e6f8a925f11913656710ba3c6234c8d7144c78b33d6f783"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wxR8NE9ZUix7E9q2YZl5s3AQNn+pYMxE9s31MgIV9/Io0fSdx5JZ/PBJLSGIe9hK7O4nMBGRIxOyDM05caaOCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T01:46:11.733571Z","bundle_sha256":"089bf6386e71d25999d6f46c06787d096ed6c2490a4cef8a4ce2bed923a6e829"}}