{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QFX27EFGPGZIMXFA73KMQSR5WT","short_pith_number":"pith:QFX27EFG","schema_version":"1.0","canonical_sha256":"816faf90a679b2865ca0fed4c84a3db4cd8070367e3d56ece25eed0d79717caf","source":{"kind":"arxiv","id":"1304.5112","version":1},"attestation_state":"computed","paper":{"title":"Simplifying Generalized Belief Propagation on Redundant Region Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math.IT"],"primary_cat":"cs.IT","authors_text":"Chuang Wang, Hai-Jun Zhou","submitted_at":"2013-04-18T12:52:22Z","abstract_excerpt":"The cluster variation method has been developed into a general theoretical framework for treating short-range correlations in many-body systems after it was first proposed by Kikuchi in 1951. On the numerical side, a message-passing approach called generalized belief propagation (GBP) was proposed by Yedidia, Freeman and Weiss about a decade ago as a way of computing the minimal value of the cluster variational free energy and the marginal distributions of clusters of variables. However the GBP equations are often redundant, and it is quite a non-trivial task to make the GBP iteration converge"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1304.5112","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-18T12:52:22Z","cross_cats_sorted":["cond-mat.dis-nn","math.IT"],"title_canon_sha256":"124bf82c3ad8aec5955efe3a0abc2916a10ccf4864623b09fe05461c85c61dde","abstract_canon_sha256":"c6f1023c6dcab8514029a9a3b16ee2bf959b577153437a1cb077271779749f6d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:53.871331Z","signature_b64":"LrmJLgSjRL+z0jboV1PuAe/WRtRT2R6bXiK/Lmljh0JrjAX2sAMBPaIF10vOYVySojScSKVKv4+9VZuVg8c+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"816faf90a679b2865ca0fed4c84a3db4cd8070367e3d56ece25eed0d79717caf","last_reissued_at":"2026-05-18T02:53:53.870417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:53.870417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simplifying Generalized Belief Propagation on Redundant Region Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","math.IT"],"primary_cat":"cs.IT","authors_text":"Chuang Wang, Hai-Jun Zhou","submitted_at":"2013-04-18T12:52:22Z","abstract_excerpt":"The cluster variation method has been developed into a general theoretical framework for treating short-range correlations in many-body systems after it was first proposed by Kikuchi in 1951. On the numerical side, a message-passing approach called generalized belief propagation (GBP) was proposed by Yedidia, Freeman and Weiss about a decade ago as a way of computing the minimal value of the cluster variational free energy and the marginal distributions of clusters of variables. However the GBP equations are often redundant, and it is quite a non-trivial task to make the GBP iteration converge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5112","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.5112","created_at":"2026-05-18T02:53:53.870566+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.5112v1","created_at":"2026-05-18T02:53:53.870566+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5112","created_at":"2026-05-18T02:53:53.870566+00:00"},{"alias_kind":"pith_short_12","alias_value":"QFX27EFGPGZI","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QFX27EFGPGZIMXFA","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QFX27EFG","created_at":"2026-05-18T12:27:57.521954+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT","json":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT.json","graph_json":"https://pith.science/api/pith-number/QFX27EFGPGZIMXFA73KMQSR5WT/graph.json","events_json":"https://pith.science/api/pith-number/QFX27EFGPGZIMXFA73KMQSR5WT/events.json","paper":"https://pith.science/paper/QFX27EFG"},"agent_actions":{"view_html":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT","download_json":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT.json","view_paper":"https://pith.science/paper/QFX27EFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.5112&json=true","fetch_graph":"https://pith.science/api/pith-number/QFX27EFGPGZIMXFA73KMQSR5WT/graph.json","fetch_events":"https://pith.science/api/pith-number/QFX27EFGPGZIMXFA73KMQSR5WT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT/action/storage_attestation","attest_author":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT/action/author_attestation","sign_citation":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT/action/citation_signature","submit_replication":"https://pith.science/pith/QFX27EFGPGZIMXFA73KMQSR5WT/action/replication_record"}},"created_at":"2026-05-18T02:53:53.870566+00:00","updated_at":"2026-05-18T02:53:53.870566+00:00"}