{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:GYFX4NZYLUVIPXALNDAXSUJOQD","short_pith_number":"pith:GYFX4NZY","canonical_record":{"source":{"id":"2606.24632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-23T14:26:38Z","cross_cats_sorted":["cs.RO"],"title_canon_sha256":"47ea1bb0364643df625c7d8e8d3d2d9447e00f416b86d1dbcad5503d6307d9c8","abstract_canon_sha256":"ff3fff5d4e28f60cb07d8091bfe8004120a16461a0fce65091d37a1c402b3f16"},"schema_version":"1.0"},"canonical_sha256":"360b7e37385d2a87dc0b68c179512e80f6216de17becc9147cccba42901564ac","source":{"kind":"arxiv","id":"2606.24632","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24632","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24632v1","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24632","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"GYFX4NZYLUVI","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"GYFX4NZYLUVIPXAL","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"GYFX4NZY","created_at":"2026-06-24T01:15:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:GYFX4NZYLUVIPXALNDAXSUJOQD","target":"record","payload":{"canonical_record":{"source":{"id":"2606.24632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-23T14:26:38Z","cross_cats_sorted":["cs.RO"],"title_canon_sha256":"47ea1bb0364643df625c7d8e8d3d2d9447e00f416b86d1dbcad5503d6307d9c8","abstract_canon_sha256":"ff3fff5d4e28f60cb07d8091bfe8004120a16461a0fce65091d37a1c402b3f16"},"schema_version":"1.0"},"canonical_sha256":"360b7e37385d2a87dc0b68c179512e80f6216de17becc9147cccba42901564ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:37.646119Z","signature_b64":"MNo6qAGIdO7Rki+12uwSB22tDXOr9qBmMnqXbd1nA2Q0GCnFgdjLqGpmEGaBQ3WqCYeK+O9o91BbYnP1XME6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"360b7e37385d2a87dc0b68c179512e80f6216de17becc9147cccba42901564ac","last_reissued_at":"2026-06-24T01:15:37.645743Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:37.645743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.24632","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":"2026-06-24T01:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BRt4pyzmzCW0PHvy02T5TlpVUiNZVqZfsTtPZQjj3ha9jaZ6KSJqe97rbWmeFzPRD43ltjRetOjH4f3ijqJjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:45:00.931153Z"},"content_sha256":"1c299503e65311e637eb1c3afd27dfc372be4e28464e21b0c0e5bed4594ed0f2","schema_version":"1.0","event_id":"sha256:1c299503e65311e637eb1c3afd27dfc372be4e28464e21b0c0e5bed4594ed0f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:GYFX4NZYLUVIPXALNDAXSUJOQD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parallel Dynamic Programming for Conic Linear Quadratic Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.RO"],"primary_cat":"math.OC","authors_text":"Brian Plancher, Gabriel Bravo-Palacios, Luyao Zhang, Sergio Grammatico","submitted_at":"2026-06-23T14:26:38Z","abstract_excerpt":"Linear Quadratic (LQ) control problems are at the heart of linear control theory and Model Predictive Control (MPC). While performant, standard approaches to solving such problems are inherently serial, limiting real-time scalability despite the parallel computing power available on modern multi-core CPUs. Contributing to addressing this challenge and motivated by ``divide and conquer'' strategies, we present a parallel-in-time approach that solves computationally demanding conic optimal control problems through the use of the alternating direction method of multipliers (ADMM). In particular, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24632","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/2606.24632/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":"2026-06-24T01:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1sm2PkKu4Ky9rWCIM3lP5o8Rfd64Tj3DqkwMcns+hT5g5E9iBXaFiAFLUAQ8+FTqYPq4Rd6akiW9/FdeRV7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:45:00.931543Z"},"content_sha256":"9522aee555b5fa26d4cdee94b0463ec2f570f60c61b268fe02ca2b4431357bf9","schema_version":"1.0","event_id":"sha256:9522aee555b5fa26d4cdee94b0463ec2f570f60c61b268fe02ca2b4431357bf9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYFX4NZYLUVIPXALNDAXSUJOQD/bundle.json","state_url":"https://pith.science/pith/GYFX4NZYLUVIPXALNDAXSUJOQD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYFX4NZYLUVIPXALNDAXSUJOQD/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":"2026-06-29T19:45:00Z","links":{"resolver":"https://pith.science/pith/GYFX4NZYLUVIPXALNDAXSUJOQD","bundle":"https://pith.science/pith/GYFX4NZYLUVIPXALNDAXSUJOQD/bundle.json","state":"https://pith.science/pith/GYFX4NZYLUVIPXALNDAXSUJOQD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYFX4NZYLUVIPXALNDAXSUJOQD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GYFX4NZYLUVIPXALNDAXSUJOQD","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":"ff3fff5d4e28f60cb07d8091bfe8004120a16461a0fce65091d37a1c402b3f16","cross_cats_sorted":["cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-23T14:26:38Z","title_canon_sha256":"47ea1bb0364643df625c7d8e8d3d2d9447e00f416b86d1dbcad5503d6307d9c8"},"schema_version":"1.0","source":{"id":"2606.24632","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24632","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24632v1","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24632","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"GYFX4NZYLUVI","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"pith_short_16","alias_value":"GYFX4NZYLUVIPXAL","created_at":"2026-06-24T01:15:37Z"},{"alias_kind":"pith_short_8","alias_value":"GYFX4NZY","created_at":"2026-06-24T01:15:37Z"}],"graph_snapshots":[{"event_id":"sha256:9522aee555b5fa26d4cdee94b0463ec2f570f60c61b268fe02ca2b4431357bf9","target":"graph","created_at":"2026-06-24T01:15:37Z","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/2606.24632/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Linear Quadratic (LQ) control problems are at the heart of linear control theory and Model Predictive Control (MPC). While performant, standard approaches to solving such problems are inherently serial, limiting real-time scalability despite the parallel computing power available on modern multi-core CPUs. Contributing to addressing this challenge and motivated by ``divide and conquer'' strategies, we present a parallel-in-time approach that solves computationally demanding conic optimal control problems through the use of the alternating direction method of multipliers (ADMM). In particular, ","authors_text":"Brian Plancher, Gabriel Bravo-Palacios, Luyao Zhang, Sergio Grammatico","cross_cats":["cs.RO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-23T14:26:38Z","title":"Parallel Dynamic Programming for Conic Linear Quadratic Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24632","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":"sha256:1c299503e65311e637eb1c3afd27dfc372be4e28464e21b0c0e5bed4594ed0f2","target":"record","created_at":"2026-06-24T01:15:37Z","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":"ff3fff5d4e28f60cb07d8091bfe8004120a16461a0fce65091d37a1c402b3f16","cross_cats_sorted":["cs.RO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-23T14:26:38Z","title_canon_sha256":"47ea1bb0364643df625c7d8e8d3d2d9447e00f416b86d1dbcad5503d6307d9c8"},"schema_version":"1.0","source":{"id":"2606.24632","kind":"arxiv","version":1}},"canonical_sha256":"360b7e37385d2a87dc0b68c179512e80f6216de17becc9147cccba42901564ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"360b7e37385d2a87dc0b68c179512e80f6216de17becc9147cccba42901564ac","first_computed_at":"2026-06-24T01:15:37.645743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:37.645743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MNo6qAGIdO7Rki+12uwSB22tDXOr9qBmMnqXbd1nA2Q0GCnFgdjLqGpmEGaBQ3WqCYeK+O9o91BbYnP1XME6Dw==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:37.646119Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24632","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c299503e65311e637eb1c3afd27dfc372be4e28464e21b0c0e5bed4594ed0f2","sha256:9522aee555b5fa26d4cdee94b0463ec2f570f60c61b268fe02ca2b4431357bf9"],"state_sha256":"a38d303d26576271bf9c23fc1691ec04fcc854496892fdb79b1e0973b152c057"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"StngtfKIgqqNKjFjhtTmbUehSae+Eu9Q6CPh1lN6YA8DMsglBVEP7Oqo7AuBNx2l/SXoZIJM7+2CRZ392451Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T19:45:00.933511Z","bundle_sha256":"7d778269af30092f93ce7b3b03696bec88c57973ef7c9ca0b3c508cc9092c611"}}