{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JLPWBO6HHVZM7ML3OBYABD6C7I","short_pith_number":"pith:JLPWBO6H","canonical_record":{"source":{"id":"1306.0036","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-05-31T21:48:51Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"fa4a8c70ea8cb131897a3e29cb198534b7d032145493e9da1135191260f38f8c","abstract_canon_sha256":"d6b51d0348a940e2170b11a545475a77bc6bfa612761845c04ff884e2fc09b5b"},"schema_version":"1.0"},"canonical_sha256":"4adf60bbc73d72cfb17b7070008fc2fa34995c0e2867cd63f85cdf15956b336d","source":{"kind":"arxiv","id":"1306.0036","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0036","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0036v3","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0036","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"JLPWBO6HHVZM","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JLPWBO6HHVZM7ML3","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JLPWBO6H","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JLPWBO6HHVZM7ML3OBYABD6C7I","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0036","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-05-31T21:48:51Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"fa4a8c70ea8cb131897a3e29cb198534b7d032145493e9da1135191260f38f8c","abstract_canon_sha256":"d6b51d0348a940e2170b11a545475a77bc6bfa612761845c04ff884e2fc09b5b"},"schema_version":"1.0"},"canonical_sha256":"4adf60bbc73d72cfb17b7070008fc2fa34995c0e2867cd63f85cdf15956b336d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.506386Z","signature_b64":"VltQcY4KAOEQJv2T4TaSiG4XMOlVepGjZ//3w5+zh/+JgYA6wKeLaWADVwiSL1EWP4sWtFprdy3R62B5CLV8Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4adf60bbc73d72cfb17b7070008fc2fa34995c0e2867cd63f85cdf15956b336d","last_reissued_at":"2026-05-18T02:33:01.506018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.506018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0036","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgJSwK4YoqX5+PNiACLIbeDnAg0BOEDkMPNV7RAkpYo+GNs2y54vC2i1xrw6kDM+D1jOaAby8K9VfvsRKPEyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:38:57.639884Z"},"content_sha256":"1b14ab9ec88cc2c11bcee6e2ed53f47b297780f03bb77f3a2503c08356424244","schema_version":"1.0","event_id":"sha256:1b14ab9ec88cc2c11bcee6e2ed53f47b297780f03bb77f3a2503c08356424244"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JLPWBO6HHVZM7ML3OBYABD6C7I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Decentralized State-Feedback Control with Sparsity and Delays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Andrew Lamperski, Laurent Lessard","submitted_at":"2013-05-31T21:48:51Z","abstract_excerpt":"This work presents the solution to a class of decentralized linear quadratic state-feedback control problems, in which the plant and controller must satisfy the same combination of delay and sparsity constraints. Using a novel decomposition of the noise history, the control problem is split into independent subproblems that are solved using dynamic programming. The approach presented herein both unifies and generalizes many existing results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0036","kind":"arxiv","version":3},"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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gT2Kq2aHVlB08Ck+BKINv4Alorcy2oqsBZU0gnD0rWk2Ja9s4uUJ1d62NraGbA+qukm23zb/rDPziKyU0qzDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:38:57.640361Z"},"content_sha256":"00c274ee72c04bab30d6f16dcc631dbee04571d66580490bbcfa0db1d77ddc01","schema_version":"1.0","event_id":"sha256:00c274ee72c04bab30d6f16dcc631dbee04571d66580490bbcfa0db1d77ddc01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JLPWBO6HHVZM7ML3OBYABD6C7I/bundle.json","state_url":"https://pith.science/pith/JLPWBO6HHVZM7ML3OBYABD6C7I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JLPWBO6HHVZM7ML3OBYABD6C7I/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":"2026-06-23T02:38:57Z","links":{"resolver":"https://pith.science/pith/JLPWBO6HHVZM7ML3OBYABD6C7I","bundle":"https://pith.science/pith/JLPWBO6HHVZM7ML3OBYABD6C7I/bundle.json","state":"https://pith.science/pith/JLPWBO6HHVZM7ML3OBYABD6C7I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JLPWBO6HHVZM7ML3OBYABD6C7I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JLPWBO6HHVZM7ML3OBYABD6C7I","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":"d6b51d0348a940e2170b11a545475a77bc6bfa612761845c04ff884e2fc09b5b","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-05-31T21:48:51Z","title_canon_sha256":"fa4a8c70ea8cb131897a3e29cb198534b7d032145493e9da1135191260f38f8c"},"schema_version":"1.0","source":{"id":"1306.0036","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0036","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0036v3","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0036","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"JLPWBO6HHVZM","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JLPWBO6HHVZM7ML3","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JLPWBO6H","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:00c274ee72c04bab30d6f16dcc631dbee04571d66580490bbcfa0db1d77ddc01","target":"graph","created_at":"2026-05-18T02:33:01Z","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":"This work presents the solution to a class of decentralized linear quadratic state-feedback control problems, in which the plant and controller must satisfy the same combination of delay and sparsity constraints. Using a novel decomposition of the noise history, the control problem is split into independent subproblems that are solved using dynamic programming. The approach presented herein both unifies and generalizes many existing results.","authors_text":"Andrew Lamperski, Laurent Lessard","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-05-31T21:48:51Z","title":"Optimal Decentralized State-Feedback Control with Sparsity and Delays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0036","kind":"arxiv","version":3},"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":"sha256:1b14ab9ec88cc2c11bcee6e2ed53f47b297780f03bb77f3a2503c08356424244","target":"record","created_at":"2026-05-18T02:33:01Z","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":"d6b51d0348a940e2170b11a545475a77bc6bfa612761845c04ff884e2fc09b5b","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2013-05-31T21:48:51Z","title_canon_sha256":"fa4a8c70ea8cb131897a3e29cb198534b7d032145493e9da1135191260f38f8c"},"schema_version":"1.0","source":{"id":"1306.0036","kind":"arxiv","version":3}},"canonical_sha256":"4adf60bbc73d72cfb17b7070008fc2fa34995c0e2867cd63f85cdf15956b336d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4adf60bbc73d72cfb17b7070008fc2fa34995c0e2867cd63f85cdf15956b336d","first_computed_at":"2026-05-18T02:33:01.506018Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:01.506018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VltQcY4KAOEQJv2T4TaSiG4XMOlVepGjZ//3w5+zh/+JgYA6wKeLaWADVwiSL1EWP4sWtFprdy3R62B5CLV8Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:01.506386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0036","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b14ab9ec88cc2c11bcee6e2ed53f47b297780f03bb77f3a2503c08356424244","sha256:00c274ee72c04bab30d6f16dcc631dbee04571d66580490bbcfa0db1d77ddc01"],"state_sha256":"9ae4c78768ca80bdbbe68482961dab34ee11d86d8467d0e552f526c4f2cbba70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iazAMvLxhvIEpSCy/BLDhLDV+S+vT9gXHQxBZis7oJWTJEikPV5LAOih5d2KNqiIK+yHhaQOzm2zSaCdPWeRBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T02:38:57.643054Z","bundle_sha256":"f05bb15db8ff3d9c0c199e000395aeee6215b1670b6ded68301c7a207a5ed2e1"}}