{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:U5DZBHKIVUZPERKDZBIZCGRTBB","short_pith_number":"pith:U5DZBHKI","canonical_record":{"source":{"id":"1305.4130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-05-17T16:40:43Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"11d58030c8ceb756ec30aa23b81768e7914972971ec716ce81a2d24e078f6a03","abstract_canon_sha256":"b5221c98f1b98d2968565fc9b1dffd1f91cbc1256b8699c5fa2389a348355e7a"},"schema_version":"1.0"},"canonical_sha256":"a747909d48ad32f24543c851911a330860baf0d08f3422ca571187ed6dacf168","source":{"kind":"arxiv","id":"1305.4130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4130","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4130v1","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4130","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"U5DZBHKIVUZP","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U5DZBHKIVUZPERKD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U5DZBHKI","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:U5DZBHKIVUZPERKDZBIZCGRTBB","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-05-17T16:40:43Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"11d58030c8ceb756ec30aa23b81768e7914972971ec716ce81a2d24e078f6a03","abstract_canon_sha256":"b5221c98f1b98d2968565fc9b1dffd1f91cbc1256b8699c5fa2389a348355e7a"},"schema_version":"1.0"},"canonical_sha256":"a747909d48ad32f24543c851911a330860baf0d08f3422ca571187ed6dacf168","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:26.194998Z","signature_b64":"giQO9gYLr4Gty/X3sacpkAza0OQECaXmzCOVW4QGkRPCmFE7qnrzAFOhwnE0u0YOzFN/T7+KbuNzEuRB8A5SDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a747909d48ad32f24543c851911a330860baf0d08f3422ca571187ed6dacf168","last_reissued_at":"2026-05-18T03:25:26.194522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:26.194522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4130","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":"2026-05-18T03:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"drvMzuFJUA7opuuvlihC0a2a4PmzjMfQEewHPDkZFVKmWeBWruubm1TY0KuhO84IRIhQFhq++/9y/QFDSGp/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:32:01.841813Z"},"content_sha256":"fbd7f60f6cb673df8603305c2ff291637c251b280bdfa6d737efe99b70e24fed","schema_version":"1.0","event_id":"sha256:fbd7f60f6cb673df8603305c2ff291637c251b280bdfa6d737efe99b70e24fed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:U5DZBHKIVUZPERKDZBIZCGRTBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Belief Propagation for Linear Programming","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.AI","authors_text":"Andrew Gelfand, Jinwoo Shin, Michael Chertkov","submitted_at":"2013-05-17T16:40:43Z","abstract_excerpt":"Belief Propagation (BP) is a popular, distributed heuristic for performing MAP computations in Graphical Models. BP can be interpreted, from a variational perspective, as minimizing the Bethe Free Energy (BFE). BP can also be used to solve a special class of Linear Programming (LP) problems. For this class of problems, MAP inference can be stated as an integer LP with an LP relaxation that coincides with minimization of the BFE at ``zero temperature\". We generalize these prior results and establish a tight characterization of the LP problems that can be formulated as an equivalent LP relaxatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4130","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":"2026-05-18T03:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X004VuwIPrV3yWFcx7sTOIqonjwMkz7dh0iyUyVxnwc9VgxqF4h6tA8PH6kKTFUA3JIb4F/F3yNt0Jmk4YPNDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T00:32:01.842173Z"},"content_sha256":"c8c8a136c01189b7258e33c50084572d1aac33af4b200f4f51bce5ec5dd8255a","schema_version":"1.0","event_id":"sha256:c8c8a136c01189b7258e33c50084572d1aac33af4b200f4f51bce5ec5dd8255a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U5DZBHKIVUZPERKDZBIZCGRTBB/bundle.json","state_url":"https://pith.science/pith/U5DZBHKIVUZPERKDZBIZCGRTBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U5DZBHKIVUZPERKDZBIZCGRTBB/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":"2026-06-04T00:32:01Z","links":{"resolver":"https://pith.science/pith/U5DZBHKIVUZPERKDZBIZCGRTBB","bundle":"https://pith.science/pith/U5DZBHKIVUZPERKDZBIZCGRTBB/bundle.json","state":"https://pith.science/pith/U5DZBHKIVUZPERKDZBIZCGRTBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U5DZBHKIVUZPERKDZBIZCGRTBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:U5DZBHKIVUZPERKDZBIZCGRTBB","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":"b5221c98f1b98d2968565fc9b1dffd1f91cbc1256b8699c5fa2389a348355e7a","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-05-17T16:40:43Z","title_canon_sha256":"11d58030c8ceb756ec30aa23b81768e7914972971ec716ce81a2d24e078f6a03"},"schema_version":"1.0","source":{"id":"1305.4130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4130","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4130v1","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4130","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"U5DZBHKIVUZP","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U5DZBHKIVUZPERKD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U5DZBHKI","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:c8c8a136c01189b7258e33c50084572d1aac33af4b200f4f51bce5ec5dd8255a","target":"graph","created_at":"2026-05-18T03:25:26Z","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":"Belief Propagation (BP) is a popular, distributed heuristic for performing MAP computations in Graphical Models. BP can be interpreted, from a variational perspective, as minimizing the Bethe Free Energy (BFE). BP can also be used to solve a special class of Linear Programming (LP) problems. For this class of problems, MAP inference can be stated as an integer LP with an LP relaxation that coincides with minimization of the BFE at ``zero temperature\". We generalize these prior results and establish a tight characterization of the LP problems that can be formulated as an equivalent LP relaxatio","authors_text":"Andrew Gelfand, Jinwoo Shin, Michael Chertkov","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-05-17T16:40:43Z","title":"Belief Propagation for Linear Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4130","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:fbd7f60f6cb673df8603305c2ff291637c251b280bdfa6d737efe99b70e24fed","target":"record","created_at":"2026-05-18T03:25:26Z","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":"b5221c98f1b98d2968565fc9b1dffd1f91cbc1256b8699c5fa2389a348355e7a","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-05-17T16:40:43Z","title_canon_sha256":"11d58030c8ceb756ec30aa23b81768e7914972971ec716ce81a2d24e078f6a03"},"schema_version":"1.0","source":{"id":"1305.4130","kind":"arxiv","version":1}},"canonical_sha256":"a747909d48ad32f24543c851911a330860baf0d08f3422ca571187ed6dacf168","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a747909d48ad32f24543c851911a330860baf0d08f3422ca571187ed6dacf168","first_computed_at":"2026-05-18T03:25:26.194522Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:26.194522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"giQO9gYLr4Gty/X3sacpkAza0OQECaXmzCOVW4QGkRPCmFE7qnrzAFOhwnE0u0YOzFN/T7+KbuNzEuRB8A5SDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:26.194998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbd7f60f6cb673df8603305c2ff291637c251b280bdfa6d737efe99b70e24fed","sha256:c8c8a136c01189b7258e33c50084572d1aac33af4b200f4f51bce5ec5dd8255a"],"state_sha256":"d950c8f5455f239bd706f29ba990e513afaaf6a17bf23d58184e4d8953aa43ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eZsdTv/bijADcOpTv5YC2DX3YHOzeRPILMp8X/qH5l2mn6m2Elys4PUs68opPHbf+OBHW98qrh21KkR4KcGBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T00:32:01.844533Z","bundle_sha256":"87a959bfcd41298fd95da33e30988488ad1f5f108ec0c2eeb4d359ad8d5e1797"}}