{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5QO4FGPEVNLFRM3O64KPCSNJFO","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":"b09194c5d91a1de11543664e95b858d720b930fa4af12fafc14add964f4bc431","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-16T06:16:14Z","title_canon_sha256":"0a4c99a117772ca5b6e0fd99d76a8b64fa3cd65abccbbf5ad96c7e3f6d158f9b"},"schema_version":"1.0","source":{"id":"1105.3006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3006","created_at":"2026-05-18T04:22:01Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3006v1","created_at":"2026-05-18T04:22:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3006","created_at":"2026-05-18T04:22:01Z"},{"alias_kind":"pith_short_12","alias_value":"5QO4FGPEVNLF","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5QO4FGPEVNLFRM3O","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5QO4FGPE","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:1cd68876d5785124f655663660cfa9fa397133a2bad5fc472707594f531d16a1","target":"graph","created_at":"2026-05-18T04:22:01Z","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":"A new property which relies on the linear programming (LP) decoder, the approximate maximum-likelihood certificate (AMLC), is introduced. When using the belief propagation decoder, this property is a measure of how close the decoded codeword is to the LP solution. Using upper bounding techniques, it is demonstrated that the conditional frame error probability given that the AMLC holds is, with some degree of confidence, below a threshold. In channels with low noise, this threshold is several orders of magnitude lower than the simulated frame error rate, and our bound holds with very high degre","authors_text":"David Burshtein, Idan Goldenberg","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-16T06:16:14Z","title":"The approximate maximum-likelihood certificate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3006","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:f888eba75d37acade454965d2b626a9458b2f4a79de1ab3e27ea21149151ed04","target":"record","created_at":"2026-05-18T04:22:01Z","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":"b09194c5d91a1de11543664e95b858d720b930fa4af12fafc14add964f4bc431","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-05-16T06:16:14Z","title_canon_sha256":"0a4c99a117772ca5b6e0fd99d76a8b64fa3cd65abccbbf5ad96c7e3f6d158f9b"},"schema_version":"1.0","source":{"id":"1105.3006","kind":"arxiv","version":1}},"canonical_sha256":"ec1dc299e4ab5658b36ef714f149a92b819e2aa01fead93fde68ec4935c5a1cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec1dc299e4ab5658b36ef714f149a92b819e2aa01fead93fde68ec4935c5a1cc","first_computed_at":"2026-05-18T04:22:01.573716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:01.573716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lAKcHq9AgpkL5rj/FmIWrQ58+IXHlgh6A1iMlwCDvEXO+SLoRtQz9vKqbL1siYwJQE7VL91pq19OvZiE3NwQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:01.574144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f888eba75d37acade454965d2b626a9458b2f4a79de1ab3e27ea21149151ed04","sha256:1cd68876d5785124f655663660cfa9fa397133a2bad5fc472707594f531d16a1"],"state_sha256":"c97cb87975c0c1f71705321465eb40ff3157b806320adcac521ff314c08d2a32"}