{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OMM23LW34GGQHKKB3NWOGGV3Z5","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":"606e45ba3d343e0a09475a2a436e9dcdc248ec5457b9692f6a52d0862773eacf","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-09-19T16:45:30Z","title_canon_sha256":"cdf832b761176b1e49a0f9ff86c4b034ce8d344c6bb4a346f63704534cc1ab41"},"schema_version":"1.0","source":{"id":"1709.06525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06525","created_at":"2026-05-18T00:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06525v1","created_at":"2026-05-18T00:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06525","created_at":"2026-05-18T00:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"OMM23LW34GGQ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OMM23LW34GGQHKKB","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OMM23LW3","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:0f20a1396a0d720b02b7bcd7564670360ba49e7f354cd1701792e3b40a5d4da8","target":"graph","created_at":"2026-05-18T00:34:45Z","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":"Maximum A posteriori Probability (MAP) inference in graphical models amounts to solving a graph-structured combinatorial optimization problem. Popular inference algorithms such as belief propagation (BP) and generalized belief propagation (GBP) are intimately related to linear programming (LP) relaxation within the Sherali-Adams hierarchy. Despite the popularity of these algorithms, it is well understood that the Sum-of-Squares (SOS) hierarchy based on semidefinite programming (SDP) can provide superior guarantees. Unfortunately, SOS relaxations for a graph with $n$ vertices require solving an","authors_text":"Andrea Montanari, Murat A. Erdogdu, Yash Deshpande","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-09-19T16:45:30Z","title":"Inference in Graphical Models via Semidefinite Programming Hierarchies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06525","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:a4bdfde26222c19add186370b7ec648574de57f76f7606bb23114c22c1a6572f","target":"record","created_at":"2026-05-18T00:34:45Z","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":"606e45ba3d343e0a09475a2a436e9dcdc248ec5457b9692f6a52d0862773eacf","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-09-19T16:45:30Z","title_canon_sha256":"cdf832b761176b1e49a0f9ff86c4b034ce8d344c6bb4a346f63704534cc1ab41"},"schema_version":"1.0","source":{"id":"1709.06525","kind":"arxiv","version":1}},"canonical_sha256":"7319adaedbe18d03a941db6ce31abbcf6a639898b9b45493aecd057bb210cbad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7319adaedbe18d03a941db6ce31abbcf6a639898b9b45493aecd057bb210cbad","first_computed_at":"2026-05-18T00:34:45.518587Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:45.518587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PQvjO3GGme+WOW6SJEoeRMMZ6ycdvVaBmb50fXy3Z+/JsRGYplim4Dw3VMsEXuY/RR/cJa6NN/rVb8EM1pAHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:45.519353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4bdfde26222c19add186370b7ec648574de57f76f7606bb23114c22c1a6572f","sha256:0f20a1396a0d720b02b7bcd7564670360ba49e7f354cd1701792e3b40a5d4da8"],"state_sha256":"ff0a9338e8112a6c3c25312cc3f6a7504286e8c5b86bb9f557eb80e16e312e83"}