{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VVP6NZG5B4L2Q3RIQA7JRKHAGC","short_pith_number":"pith:VVP6NZG5","canonical_record":{"source":{"id":"1103.4959","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OC","submitted_at":"2011-03-25T12:34:14Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"bd24da836d7dc0e7fed576fe6a59c9e1aa55c0cc1a7a7b6ab14f4ff789c6ff2a","abstract_canon_sha256":"b82f64f2fabedba24fa99077be8d92eb948fafecd0d0480fdcd7c9bad838b592"},"schema_version":"1.0"},"canonical_sha256":"ad5fe6e4dd0f17a86e28803e98a8e03091997fdb7d8eaa98270c792f456a97ce","source":{"kind":"arxiv","id":"1103.4959","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4959","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4959v2","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4959","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"VVP6NZG5B4L2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VVP6NZG5B4L2Q3RI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VVP6NZG5","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VVP6NZG5B4L2Q3RIQA7JRKHAGC","target":"record","payload":{"canonical_record":{"source":{"id":"1103.4959","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OC","submitted_at":"2011-03-25T12:34:14Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"bd24da836d7dc0e7fed576fe6a59c9e1aa55c0cc1a7a7b6ab14f4ff789c6ff2a","abstract_canon_sha256":"b82f64f2fabedba24fa99077be8d92eb948fafecd0d0480fdcd7c9bad838b592"},"schema_version":"1.0"},"canonical_sha256":"ad5fe6e4dd0f17a86e28803e98a8e03091997fdb7d8eaa98270c792f456a97ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:47.586840Z","signature_b64":"dbI58aZlIfoblDBzCzZbWH+Kg0iluIjJqajMFukeEyIfTZxpiT2aMslWZzdPhjabEeH5NAufrQBFTeWL32UACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad5fe6e4dd0f17a86e28803e98a8e03091997fdb7d8eaa98270c792f456a97ce","last_reissued_at":"2026-05-18T04:23:47.586156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:47.586156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.4959","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":"2026-05-18T04:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jR6W6HKdret11c266QgJRNpB3wtEKQ7TjOMT+0k1s/zrlkbo6uAICEM6RA0K5lnFkfDJYxJ2aB9cMMkQV3MZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:51:38.963030Z"},"content_sha256":"56a8eb5c08557846b37afe2e5769892c305c61cb74496007646e55a1b9caac07","schema_version":"1.0","event_id":"sha256:56a8eb5c08557846b37afe2e5769892c305c61cb74496007646e55a1b9caac07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VVP6NZG5B4L2Q3RIQA7JRKHAGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On mean-square boundedness of stochastic linear systems with quantized observations","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Debasish Chatterjee, Federico Ramponi, John Lygeros, Peter Hokayem","submitted_at":"2011-03-25T12:34:14Z","abstract_excerpt":"We propose a procedure to design a state-quantizer with finitely many bins for a marginally stable stochastic linear system evolving in $\\R^d$, and a bounded policy based on the resulting quantized state measurements to ensure bounded second moment in closed-loop."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4959","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":""},"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":"2026-05-18T04:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dBRAh656la2oa0IfMkZHos2hCl+PXaDxpWS+ZoBC8otxQCon+65UqJrXTsK4rqFKBMlp0OhPLoPN2TSVv1oZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T06:51:38.963387Z"},"content_sha256":"f85fac1c9882b294f51a503bdaa276dcee505de494ff222c30e3dbce64c5b93c","schema_version":"1.0","event_id":"sha256:f85fac1c9882b294f51a503bdaa276dcee505de494ff222c30e3dbce64c5b93c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC/bundle.json","state_url":"https://pith.science/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC/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":"2026-05-28T06:51:38Z","links":{"resolver":"https://pith.science/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC","bundle":"https://pith.science/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC/bundle.json","state":"https://pith.science/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVP6NZG5B4L2Q3RIQA7JRKHAGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VVP6NZG5B4L2Q3RIQA7JRKHAGC","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":"b82f64f2fabedba24fa99077be8d92eb948fafecd0d0480fdcd7c9bad838b592","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OC","submitted_at":"2011-03-25T12:34:14Z","title_canon_sha256":"bd24da836d7dc0e7fed576fe6a59c9e1aa55c0cc1a7a7b6ab14f4ff789c6ff2a"},"schema_version":"1.0","source":{"id":"1103.4959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4959","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4959v2","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4959","created_at":"2026-05-18T04:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"VVP6NZG5B4L2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VVP6NZG5B4L2Q3RI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VVP6NZG5","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:f85fac1c9882b294f51a503bdaa276dcee505de494ff222c30e3dbce64c5b93c","target":"graph","created_at":"2026-05-18T04:23:47Z","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":"We propose a procedure to design a state-quantizer with finitely many bins for a marginally stable stochastic linear system evolving in $\\R^d$, and a bounded policy based on the resulting quantized state measurements to ensure bounded second moment in closed-loop.","authors_text":"Debasish Chatterjee, Federico Ramponi, John Lygeros, Peter Hokayem","cross_cats":["cs.SY"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OC","submitted_at":"2011-03-25T12:34:14Z","title":"On mean-square boundedness of stochastic linear systems with quantized observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4959","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":"sha256:56a8eb5c08557846b37afe2e5769892c305c61cb74496007646e55a1b9caac07","target":"record","created_at":"2026-05-18T04:23:47Z","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":"b82f64f2fabedba24fa99077be8d92eb948fafecd0d0480fdcd7c9bad838b592","cross_cats_sorted":["cs.SY"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.OC","submitted_at":"2011-03-25T12:34:14Z","title_canon_sha256":"bd24da836d7dc0e7fed576fe6a59c9e1aa55c0cc1a7a7b6ab14f4ff789c6ff2a"},"schema_version":"1.0","source":{"id":"1103.4959","kind":"arxiv","version":2}},"canonical_sha256":"ad5fe6e4dd0f17a86e28803e98a8e03091997fdb7d8eaa98270c792f456a97ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad5fe6e4dd0f17a86e28803e98a8e03091997fdb7d8eaa98270c792f456a97ce","first_computed_at":"2026-05-18T04:23:47.586156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:47.586156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dbI58aZlIfoblDBzCzZbWH+Kg0iluIjJqajMFukeEyIfTZxpiT2aMslWZzdPhjabEeH5NAufrQBFTeWL32UACg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:47.586840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56a8eb5c08557846b37afe2e5769892c305c61cb74496007646e55a1b9caac07","sha256:f85fac1c9882b294f51a503bdaa276dcee505de494ff222c30e3dbce64c5b93c"],"state_sha256":"18a1672455b3b0079c6c5bfda522f2a7bd105cddd192b072e52396c29fd2a104"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2y2dfgaubyPe9ezw+9STk3KaHYriV7CQvTZcbVezNHjYIBMkcyc9ZWHfmNcP8dxXMXj3dnHsvKrUu5tOz7rHBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T06:51:38.965254Z","bundle_sha256":"a4527a42cceb6464120b74722862dce735c2f1243960ec8d82798e1b7cd62fac"}}