{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LAO2HBIH3K5QUUI36SLF4EBQKO","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":"2d8d2553b57bb4879a81fcf15c465431c53839cfcf1157cfcbc7284b1813f2a5","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-04T12:12:54Z","title_canon_sha256":"5b9eee2b2ba3819422d483195d57de3085e7cfb0e6a86b5527640a68044f6ee3"},"schema_version":"1.0","source":{"id":"1903.01202","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01202","created_at":"2026-05-17T23:47:01Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01202v2","created_at":"2026-05-17T23:47:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01202","created_at":"2026-05-17T23:47:01Z"},{"alias_kind":"pith_short_12","alias_value":"LAO2HBIH3K5Q","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LAO2HBIH3K5QUUI3","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LAO2HBIH","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:ac1c3dc6658652a305fda85522748ad48114c1f5eb6261247d67fd1f115194aa","target":"graph","created_at":"2026-05-17T23:47:01Z","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":"It has been shown that graph-cover pseudocodewords can be used to characterize the behavior of sum-product algorithm (SPA) decoding of classical codes. In this paper, we leverage and adapt these results to analyze SPA decoding of quantum stabilizer codes. We use the obtained insights to formulate modifications to the SPA that overcome some of its weaknesses.","authors_text":"July X. Li, Pascal O. Vontobel","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-04T12:12:54Z","title":"Pseudocodeword-based Decoding of Quantum Stabilizer Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01202","kind":"arxiv","version":2},"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":"sha256:0f759b5f0fe8779049b8cfa2a73e2a83c3ee220fb6814a36131bcb4157eb21dc","target":"record","created_at":"2026-05-17T23:47:01Z","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":"2d8d2553b57bb4879a81fcf15c465431c53839cfcf1157cfcbc7284b1813f2a5","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"cs.IT","submitted_at":"2019-03-04T12:12:54Z","title_canon_sha256":"5b9eee2b2ba3819422d483195d57de3085e7cfb0e6a86b5527640a68044f6ee3"},"schema_version":"1.0","source":{"id":"1903.01202","kind":"arxiv","version":2}},"canonical_sha256":"581da38507dabb0a511bf4965e103053abcf25b9d52f79219d967754ec473f11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"581da38507dabb0a511bf4965e103053abcf25b9d52f79219d967754ec473f11","first_computed_at":"2026-05-17T23:47:01.719875Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:01.719875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8M5uS9lcdg3Z3GdCuO5YVJqsL/DTz9CMkkDde8SQjHNH4hpXTxLXr1I/4zEv/Gu6eHrSglxu8QEMkg6NmU4xDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:01.720671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01202","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f759b5f0fe8779049b8cfa2a73e2a83c3ee220fb6814a36131bcb4157eb21dc","sha256:ac1c3dc6658652a305fda85522748ad48114c1f5eb6261247d67fd1f115194aa"],"state_sha256":"3d731bf9407a7d71e0e8ffaa5618c48863a4aef5b56b0d2c793ccbfe67dc6f36"}