{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PZ6IOD3W535LBY7U2TNHY7CMHZ","short_pith_number":"pith:PZ6IOD3W","canonical_record":{"source":{"id":"1402.0246","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-02T21:00:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"eaf03b1f0798081809d8588b4119030ed2349f10cb3937dbae42823f3ba1a601","abstract_canon_sha256":"59f293ea97ada03d9e93b0acb4596d842dba1b9bd765a100be739db9f22f690c"},"schema_version":"1.0"},"canonical_sha256":"7e7c870f76eefab0e3f4d4da7c7c4c3e41ffbe80fecc08105c3e49ce434e007a","source":{"kind":"arxiv","id":"1402.0246","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0246","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0246v3","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0246","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"PZ6IOD3W535L","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PZ6IOD3W535LBY7U","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PZ6IOD3W","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PZ6IOD3W535LBY7U2TNHY7CMHZ","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0246","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-02T21:00:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"eaf03b1f0798081809d8588b4119030ed2349f10cb3937dbae42823f3ba1a601","abstract_canon_sha256":"59f293ea97ada03d9e93b0acb4596d842dba1b9bd765a100be739db9f22f690c"},"schema_version":"1.0"},"canonical_sha256":"7e7c870f76eefab0e3f4d4da7c7c4c3e41ffbe80fecc08105c3e49ce434e007a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:39.126877Z","signature_b64":"ZWBqCxdM8cfHGoHI/2n1bikSPXJCak2R8y1DQcw2jVRLmuRl0TBW/iJbrbSc6GIO5L846t0LqlfnQh6zwIXeDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e7c870f76eefab0e3f4d4da7c7c4c3e41ffbe80fecc08105c3e49ce434e007a","last_reissued_at":"2026-05-18T02:29:39.126502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:39.126502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0246","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":"2026-05-18T02:29:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLeFHkAQ/UlwFaaEkozHWLTEIAo/IhNM+e6N3hlHpnupE3/dJYSlrALR8Nja1CXEGWgv2S0zwMR1Sxd33uQWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:34:51.864753Z"},"content_sha256":"7cc8638d19ab827f70b15519589d9df3d4a9bde23a4a7a79f592c013afe48817","schema_version":"1.0","event_id":"sha256:7cc8638d19ab827f70b15519589d9df3d4a9bde23a4a7a79f592c013afe48817"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PZ6IOD3W535LBY7U2TNHY7CMHZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Kalman Filtering over Massive Data Sets: Analysis Through Large Deviations of Random Riccati Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Di Li, H. Vincent Poor, Jose' M. F. Moura, Shuguang Cui, Soummya Kar","submitted_at":"2014-02-02T21:00:23Z","abstract_excerpt":"This paper studies the convergence of the estimation error process and the characterization of the corresponding invariant measure in distributed Kalman filtering for potentially unstable and large linear dynamic systems. A gossip network protocol termed Modified Gossip Interactive Kalman Filtering (M-GIKF) is proposed, where sensors exchange their filtered states (estimates and error covariances) and propagate their observations via inter-sensor communications of rate $\\overline{\\gamma}$; $\\overline{\\gamma}$ is defined as the averaged number of inter-sensor message passages per signal evoluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0246","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":"2026-05-18T02:29:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RwvclieN6dqvQthSiCgPrQy1bR6QVapr+ZesyDNXF7/AEhvTgjzyYfwN5zfP/zuj6AL5d8+tCklgLc3PuKRFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T10:34:51.865457Z"},"content_sha256":"a93a5a419e89f4d6499168f9354124d15af3dfdfe64ecad11462a3914270143f","schema_version":"1.0","event_id":"sha256:a93a5a419e89f4d6499168f9354124d15af3dfdfe64ecad11462a3914270143f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ/bundle.json","state_url":"https://pith.science/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ/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":"2026-05-26T10:34:51Z","links":{"resolver":"https://pith.science/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ","bundle":"https://pith.science/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ/bundle.json","state":"https://pith.science/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PZ6IOD3W535LBY7U2TNHY7CMHZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PZ6IOD3W535LBY7U2TNHY7CMHZ","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":"59f293ea97ada03d9e93b0acb4596d842dba1b9bd765a100be739db9f22f690c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-02T21:00:23Z","title_canon_sha256":"eaf03b1f0798081809d8588b4119030ed2349f10cb3937dbae42823f3ba1a601"},"schema_version":"1.0","source":{"id":"1402.0246","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0246","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0246v3","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0246","created_at":"2026-05-18T02:29:39Z"},{"alias_kind":"pith_short_12","alias_value":"PZ6IOD3W535L","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PZ6IOD3W535LBY7U","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PZ6IOD3W","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:a93a5a419e89f4d6499168f9354124d15af3dfdfe64ecad11462a3914270143f","target":"graph","created_at":"2026-05-18T02:29:39Z","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 paper studies the convergence of the estimation error process and the characterization of the corresponding invariant measure in distributed Kalman filtering for potentially unstable and large linear dynamic systems. A gossip network protocol termed Modified Gossip Interactive Kalman Filtering (M-GIKF) is proposed, where sensors exchange their filtered states (estimates and error covariances) and propagate their observations via inter-sensor communications of rate $\\overline{\\gamma}$; $\\overline{\\gamma}$ is defined as the averaged number of inter-sensor message passages per signal evoluti","authors_text":"Di Li, H. Vincent Poor, Jose' M. F. Moura, Shuguang Cui, Soummya Kar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-02T21:00:23Z","title":"Distributed Kalman Filtering over Massive Data Sets: Analysis Through Large Deviations of Random Riccati Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0246","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":"sha256:7cc8638d19ab827f70b15519589d9df3d4a9bde23a4a7a79f592c013afe48817","target":"record","created_at":"2026-05-18T02:29:39Z","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":"59f293ea97ada03d9e93b0acb4596d842dba1b9bd765a100be739db9f22f690c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-02T21:00:23Z","title_canon_sha256":"eaf03b1f0798081809d8588b4119030ed2349f10cb3937dbae42823f3ba1a601"},"schema_version":"1.0","source":{"id":"1402.0246","kind":"arxiv","version":3}},"canonical_sha256":"7e7c870f76eefab0e3f4d4da7c7c4c3e41ffbe80fecc08105c3e49ce434e007a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e7c870f76eefab0e3f4d4da7c7c4c3e41ffbe80fecc08105c3e49ce434e007a","first_computed_at":"2026-05-18T02:29:39.126502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:39.126502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZWBqCxdM8cfHGoHI/2n1bikSPXJCak2R8y1DQcw2jVRLmuRl0TBW/iJbrbSc6GIO5L846t0LqlfnQh6zwIXeDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:39.126877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0246","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cc8638d19ab827f70b15519589d9df3d4a9bde23a4a7a79f592c013afe48817","sha256:a93a5a419e89f4d6499168f9354124d15af3dfdfe64ecad11462a3914270143f"],"state_sha256":"0dbfe163a28e114eac07aaec07548543516496327e9c368b89ecf4fce76d40d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XU6HVCBa7S8IcJf6C/tF/PWc8qZFgFJvnuEpaPZMu8Nfp4DWR2NuPHSNuiMvqrgDAwz5ma40xpkQQsrMO2vWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T10:34:51.870183Z","bundle_sha256":"c83ed13232c37b83c0f4943d6f2e29492d399ced77df1c9b6b777ad72ee704a5"}}