{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HL5VJSH42HFF3AYQO4APKRNUO2","short_pith_number":"pith:HL5VJSH4","canonical_record":{"source":{"id":"1403.2739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-11T20:11:00Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"e0ed383555005ee19db98ad12c978bdabdc662168de207139a2d2f6310a5bf36","abstract_canon_sha256":"997b7752e518ccac455a8c47c164cb9e76915e26ae34bd33845054fff4521382"},"schema_version":"1.0"},"canonical_sha256":"3afb54c8fcd1ca5d83107700f545b4768ec98de692c6f0c4a0afddcc3891a110","source":{"kind":"arxiv","id":"1403.2739","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2739","created_at":"2026-05-18T02:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2739v1","created_at":"2026-05-18T02:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2739","created_at":"2026-05-18T02:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"HL5VJSH42HFF","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HL5VJSH42HFF3AYQ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HL5VJSH4","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HL5VJSH42HFF3AYQO4APKRNUO2","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-11T20:11:00Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"e0ed383555005ee19db98ad12c978bdabdc662168de207139a2d2f6310a5bf36","abstract_canon_sha256":"997b7752e518ccac455a8c47c164cb9e76915e26ae34bd33845054fff4521382"},"schema_version":"1.0"},"canonical_sha256":"3afb54c8fcd1ca5d83107700f545b4768ec98de692c6f0c4a0afddcc3891a110","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:34.289061Z","signature_b64":"Qr1jUbPVAkpfjZdC7bngn9zq0Ii+fwFBdyltMTvora58coOxnZ+Z5nGs+TxB53w1zsjPhc5T9D4OVSo2VyzNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3afb54c8fcd1ca5d83107700f545b4768ec98de692c6f0c4a0afddcc3891a110","last_reissued_at":"2026-05-18T02:56:34.288407Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:34.288407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2739","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":"2026-05-18T02:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2YaudiPYI+D9ddBmprTWY4jG1LSUPuKOX2La6P/glYC1FlpBJONEXclbJPuYFOVTv72j171OKaOM9tIGn6ZrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:51:54.909938Z"},"content_sha256":"798f81135c596e36f40e3b7ccf4cccbe37798f34a21a23018d8547949a76fa1f","schema_version":"1.0","event_id":"sha256:798f81135c596e36f40e3b7ccf4cccbe37798f34a21a23018d8547949a76fa1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HL5VJSH42HFF3AYQO4APKRNUO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sufficient statistics for linear control strategies in decentralized systems with partial history sharing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Aditya Mahajan, Ashutosh Nayyar","submitted_at":"2014-03-11T20:11:00Z","abstract_excerpt":"In decentralized control systems with linear dynamics, quadratic cost, and Gaussian disturbance (also called decentralized LQG systems) linear control strategies are not always optimal. Nonetheless, linear control strategies are appealing due to analytic and implementation simplicity. In this paper, we investigate decentralized LQG systems with partial history sharing information structure and identify finite dimensional sufficient statistics for such systems. Unlike prior work on decentralized LQG systems, we do not assume partially nestedness or quadratic invariance. Our approach is based on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2739","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":"2026-05-18T02:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pf8QFzqQ3wLJtVPZWmfqBQQX8uRqcyip9y25aPsuoulMQwUlD6MOkUYNxCwMe5rAIlQreErK2XMZ+VUneXzdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:51:54.910299Z"},"content_sha256":"890ea73fea5e2974fc06983286eebd429d8aba88564ae06b31047686dd1204f1","schema_version":"1.0","event_id":"sha256:890ea73fea5e2974fc06983286eebd429d8aba88564ae06b31047686dd1204f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HL5VJSH42HFF3AYQO4APKRNUO2/bundle.json","state_url":"https://pith.science/pith/HL5VJSH42HFF3AYQO4APKRNUO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HL5VJSH42HFF3AYQO4APKRNUO2/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":"2026-05-28T22:51:54Z","links":{"resolver":"https://pith.science/pith/HL5VJSH42HFF3AYQO4APKRNUO2","bundle":"https://pith.science/pith/HL5VJSH42HFF3AYQO4APKRNUO2/bundle.json","state":"https://pith.science/pith/HL5VJSH42HFF3AYQO4APKRNUO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HL5VJSH42HFF3AYQO4APKRNUO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HL5VJSH42HFF3AYQO4APKRNUO2","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":"997b7752e518ccac455a8c47c164cb9e76915e26ae34bd33845054fff4521382","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-11T20:11:00Z","title_canon_sha256":"e0ed383555005ee19db98ad12c978bdabdc662168de207139a2d2f6310a5bf36"},"schema_version":"1.0","source":{"id":"1403.2739","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2739","created_at":"2026-05-18T02:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2739v1","created_at":"2026-05-18T02:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2739","created_at":"2026-05-18T02:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"HL5VJSH42HFF","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HL5VJSH42HFF3AYQ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HL5VJSH4","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:890ea73fea5e2974fc06983286eebd429d8aba88564ae06b31047686dd1204f1","target":"graph","created_at":"2026-05-18T02:56:34Z","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":"In decentralized control systems with linear dynamics, quadratic cost, and Gaussian disturbance (also called decentralized LQG systems) linear control strategies are not always optimal. Nonetheless, linear control strategies are appealing due to analytic and implementation simplicity. In this paper, we investigate decentralized LQG systems with partial history sharing information structure and identify finite dimensional sufficient statistics for such systems. Unlike prior work on decentralized LQG systems, we do not assume partially nestedness or quadratic invariance. Our approach is based on","authors_text":"Aditya Mahajan, Ashutosh Nayyar","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-11T20:11:00Z","title":"Sufficient statistics for linear control strategies in decentralized systems with partial history sharing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2739","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":"sha256:798f81135c596e36f40e3b7ccf4cccbe37798f34a21a23018d8547949a76fa1f","target":"record","created_at":"2026-05-18T02:56:34Z","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":"997b7752e518ccac455a8c47c164cb9e76915e26ae34bd33845054fff4521382","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-11T20:11:00Z","title_canon_sha256":"e0ed383555005ee19db98ad12c978bdabdc662168de207139a2d2f6310a5bf36"},"schema_version":"1.0","source":{"id":"1403.2739","kind":"arxiv","version":1}},"canonical_sha256":"3afb54c8fcd1ca5d83107700f545b4768ec98de692c6f0c4a0afddcc3891a110","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3afb54c8fcd1ca5d83107700f545b4768ec98de692c6f0c4a0afddcc3891a110","first_computed_at":"2026-05-18T02:56:34.288407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:34.288407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qr1jUbPVAkpfjZdC7bngn9zq0Ii+fwFBdyltMTvora58coOxnZ+Z5nGs+TxB53w1zsjPhc5T9D4OVSo2VyzNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:34.289061Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2739","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:798f81135c596e36f40e3b7ccf4cccbe37798f34a21a23018d8547949a76fa1f","sha256:890ea73fea5e2974fc06983286eebd429d8aba88564ae06b31047686dd1204f1"],"state_sha256":"da41347ba4adaf4fba5ced2dea0fc6a7ed4e66ea83fe5e773c0af0e5f52e31f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d2TlRNL8J5o5Bul6rP4RRc6E9E5Wo1vrMKDnZUX6m5ZJjZHviU71K9eud3Qh1g6LHnFrA1sXwJga3zCwHiN2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:51:54.912339Z","bundle_sha256":"bc09da27308f8dc524c19f03f9391ef822c2b6ad7d7863198f5e44a4959a6808"}}