{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LEH5ZFGRPLRNFYXIBLWLFQRPBE","short_pith_number":"pith:LEH5ZFGR","canonical_record":{"source":{"id":"1711.09888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-11-26T03:44:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c55bc22b49186c64640ada5c242cece1f3a2b9ea8c12bafb4c222afebbdc5e6a","abstract_canon_sha256":"7d680cb54302d7bb830c3dbb44f364bcc96b1cb1333ef4ae7dd68938bac8a0ce"},"schema_version":"1.0"},"canonical_sha256":"590fdc94d17ae2d2e2e80aecb2c22f090105f98708a3717c6f886185fa8f5198","source":{"kind":"arxiv","id":"1711.09888","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09888","created_at":"2026-05-18T00:29:23Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09888v1","created_at":"2026-05-18T00:29:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09888","created_at":"2026-05-18T00:29:23Z"},{"alias_kind":"pith_short_12","alias_value":"LEH5ZFGRPLRN","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LEH5ZFGRPLRNFYXI","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LEH5ZFGR","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LEH5ZFGRPLRNFYXIBLWLFQRPBE","target":"record","payload":{"canonical_record":{"source":{"id":"1711.09888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-11-26T03:44:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c55bc22b49186c64640ada5c242cece1f3a2b9ea8c12bafb4c222afebbdc5e6a","abstract_canon_sha256":"7d680cb54302d7bb830c3dbb44f364bcc96b1cb1333ef4ae7dd68938bac8a0ce"},"schema_version":"1.0"},"canonical_sha256":"590fdc94d17ae2d2e2e80aecb2c22f090105f98708a3717c6f886185fa8f5198","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:23.884539Z","signature_b64":"wbDbxK/jPkLqdgSLlo+tOXJynAU/QaXDDF2YFaRSHX6oQUlS1ywF6kDrMg9aDApRpizrGnQGEZ4+9cld5wlsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"590fdc94d17ae2d2e2e80aecb2c22f090105f98708a3717c6f886185fa8f5198","last_reissued_at":"2026-05-18T00:29:23.883832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:23.883832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.09888","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":"2026-05-18T00:29:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FI55cH0QzOYCsASK8rj7WGlxmPOHxGYCnv9Cowi/OwEkrubIO/NP7AmUuuXNEtXS1hvMnAQj24D+FOR3m1JACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:18:59.583518Z"},"content_sha256":"8e91abdc526dd4d175c78b6d1d7ca2c85e04dbe691492c9fd64e89284f35691d","schema_version":"1.0","event_id":"sha256:8e91abdc526dd4d175c78b6d1d7ca2c85e04dbe691492c9fd64e89284f35691d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LEH5ZFGRPLRNFYXIBLWLFQRPBE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Convergence Verification for Gaussian Belief Propagation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jian Du, Jos\\'e M. F. Moura, Soummya Kar","submitted_at":"2017-11-26T03:44:46Z","abstract_excerpt":"Gaussian belief propagation (BP) is a computationally efficient method to approximate the marginal distribution and has been widely used for inference with high dimensional data as well as distributed estimation in large-scale networks. However, the convergence of Gaussian BP is still an open issue. Though sufficient convergence conditions have been studied in the literature, verifying these conditions requires gathering all the information over the whole network, which defeats the main advantage of distributed computing by using Gaussian BP. In this paper, we propose a novel sufficient conver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09888","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":"2026-05-18T00:29:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ooVICukSMDdDmSvnTAtV9oOpQmMJQFJ6jlyFS+nRkXmWgyCsnxAQVsKbrM2Tnjm0HE+NuOBvvrDDvFAJ1V5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:18:59.583874Z"},"content_sha256":"b4936cd7eb212f5bb5662b730e293ce5cc36c453ce24ea7db1c653706288999a","schema_version":"1.0","event_id":"sha256:b4936cd7eb212f5bb5662b730e293ce5cc36c453ce24ea7db1c653706288999a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE/bundle.json","state_url":"https://pith.science/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE/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":"2026-06-05T10:18:59Z","links":{"resolver":"https://pith.science/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE","bundle":"https://pith.science/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE/bundle.json","state":"https://pith.science/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LEH5ZFGRPLRNFYXIBLWLFQRPBE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LEH5ZFGRPLRNFYXIBLWLFQRPBE","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":"7d680cb54302d7bb830c3dbb44f364bcc96b1cb1333ef4ae7dd68938bac8a0ce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-11-26T03:44:46Z","title_canon_sha256":"c55bc22b49186c64640ada5c242cece1f3a2b9ea8c12bafb4c222afebbdc5e6a"},"schema_version":"1.0","source":{"id":"1711.09888","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09888","created_at":"2026-05-18T00:29:23Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09888v1","created_at":"2026-05-18T00:29:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09888","created_at":"2026-05-18T00:29:23Z"},{"alias_kind":"pith_short_12","alias_value":"LEH5ZFGRPLRN","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LEH5ZFGRPLRNFYXI","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LEH5ZFGR","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:b4936cd7eb212f5bb5662b730e293ce5cc36c453ce24ea7db1c653706288999a","target":"graph","created_at":"2026-05-18T00:29:23Z","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":"Gaussian belief propagation (BP) is a computationally efficient method to approximate the marginal distribution and has been widely used for inference with high dimensional data as well as distributed estimation in large-scale networks. However, the convergence of Gaussian BP is still an open issue. Though sufficient convergence conditions have been studied in the literature, verifying these conditions requires gathering all the information over the whole network, which defeats the main advantage of distributed computing by using Gaussian BP. In this paper, we propose a novel sufficient conver","authors_text":"Jian Du, Jos\\'e M. F. Moura, Soummya Kar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-11-26T03:44:46Z","title":"Distributed Convergence Verification for Gaussian Belief Propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09888","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":"sha256:8e91abdc526dd4d175c78b6d1d7ca2c85e04dbe691492c9fd64e89284f35691d","target":"record","created_at":"2026-05-18T00:29:23Z","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":"7d680cb54302d7bb830c3dbb44f364bcc96b1cb1333ef4ae7dd68938bac8a0ce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-11-26T03:44:46Z","title_canon_sha256":"c55bc22b49186c64640ada5c242cece1f3a2b9ea8c12bafb4c222afebbdc5e6a"},"schema_version":"1.0","source":{"id":"1711.09888","kind":"arxiv","version":1}},"canonical_sha256":"590fdc94d17ae2d2e2e80aecb2c22f090105f98708a3717c6f886185fa8f5198","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"590fdc94d17ae2d2e2e80aecb2c22f090105f98708a3717c6f886185fa8f5198","first_computed_at":"2026-05-18T00:29:23.883832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:23.883832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wbDbxK/jPkLqdgSLlo+tOXJynAU/QaXDDF2YFaRSHX6oQUlS1ywF6kDrMg9aDApRpizrGnQGEZ4+9cld5wlsDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:23.884539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09888","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e91abdc526dd4d175c78b6d1d7ca2c85e04dbe691492c9fd64e89284f35691d","sha256:b4936cd7eb212f5bb5662b730e293ce5cc36c453ce24ea7db1c653706288999a"],"state_sha256":"05d88e3f6558704e796710d195a8b81c9a6dfbdaccf3ee985fe5795eb62a1afe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4nGXxuP0wVgsXSz3x+UM9kcDNIQje/j+SDUKT0le8+RGCErfpJPA1y6jBXWTJbUUkCwnMf+2FT33ZLWGCO7oCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:18:59.585862Z","bundle_sha256":"d9931a3628f587af00927e9f9e2e731a05f8329026bcef1b2e88bb349ffcad41"}}