{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MDIYYSUOYAU4DY7LO5UDRZUCF5","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":"ad54c20d9783a5e3e08c9cc01fa4e0914c4b3b45357ab33a5fe57766c53cda5e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-12T23:05:23Z","title_canon_sha256":"778e8fae99cf1e2669bf027d08eab53142d7dc3542de34ad29ddb5b11eadf423"},"schema_version":"1.0","source":{"id":"1604.03612","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03612","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03612v1","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03612","created_at":"2026-05-18T01:17:12Z"},{"alias_kind":"pith_short_12","alias_value":"MDIYYSUOYAU4","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MDIYYSUOYAU4DY7L","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MDIYYSUO","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:f000f06a42b6084913a6c6765433430e5737ce166f5aa51fc93bec063ee13d1f","target":"graph","created_at":"2026-05-18T01:17:12Z","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":"Polar codes are considered the latest major breakthrough in coding theory. Polar codes were introduced by Ar{\\i}kan in 2008. In this letter, we show that the binary polar codes are the same as the optimized codes for bitwise multistage decoding (OCBM), which have been discovered before by Stolte in 2002. The equivalence between the techniques used for the constructions and decodings of both codes is established.","authors_text":"Hsien-Ping Lin, Jungwon Lee, Mostafa El-Khamy","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-12T23:05:23Z","title":"Binary Polar Codes are Optimized Codes for Bitwise Multistage Decoding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03612","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:f222c4ab7d3ae9e4b1999ddb3328f26e7982c928be9e0d1cdfaabd352654a5e2","target":"record","created_at":"2026-05-18T01:17:12Z","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":"ad54c20d9783a5e3e08c9cc01fa4e0914c4b3b45357ab33a5fe57766c53cda5e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-12T23:05:23Z","title_canon_sha256":"778e8fae99cf1e2669bf027d08eab53142d7dc3542de34ad29ddb5b11eadf423"},"schema_version":"1.0","source":{"id":"1604.03612","kind":"arxiv","version":1}},"canonical_sha256":"60d18c4a8ec029c1e3eb776838e6822f45d0f1b315ef0b95a0087be05b823077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60d18c4a8ec029c1e3eb776838e6822f45d0f1b315ef0b95a0087be05b823077","first_computed_at":"2026-05-18T01:17:12.166525Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:12.166525Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aCHLNjbAlZ9T7ky1caRDdnAQ92BPe1RT0qXZ/nyVCy31tMHv8PUKE4MM3piAX2EcKg5w/5c3gBxMss3WFgKjCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:12.167199Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03612","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f222c4ab7d3ae9e4b1999ddb3328f26e7982c928be9e0d1cdfaabd352654a5e2","sha256:f000f06a42b6084913a6c6765433430e5737ce166f5aa51fc93bec063ee13d1f"],"state_sha256":"e5a262eac11bf49809a840b80414112165edc2c95ec14f470821a2e36cdb79e4"}