{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2SQTPJYF4L453XAREPGCFIWMNE","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":"06a80f254f70bb4829237d20ffc7b738324e559b43f1941efcd4f00b83ef1d33","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-31T23:33:40Z","title_canon_sha256":"cfe2b65a8491fb18ec91423ebbc478324e6f8daa52c3ec004302343c6c903bad"},"schema_version":"1.0","source":{"id":"1206.0050","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.0050","created_at":"2026-05-18T03:54:27Z"},{"alias_kind":"arxiv_version","alias_value":"1206.0050v1","created_at":"2026-05-18T03:54:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0050","created_at":"2026-05-18T03:54:27Z"},{"alias_kind":"pith_short_12","alias_value":"2SQTPJYF4L45","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2SQTPJYF4L453XAR","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2SQTPJYF","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:428903e274b0ae621176f500ae2084cef6eb14a59a450f95e233382919c16f5b","target":"graph","created_at":"2026-05-18T03:54:27Z","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":"We describe a successive-cancellation \\emph{list} decoder for polar codes, which is a generalization of the classic successive-cancellation decoder of Ar{\\i}kan. In the proposed list decoder, up to $L$ decoding paths are considered concurrently at each decoding stage. Then, a single codeword is selected from the list as output. If the most likely codeword is selected, simulation results show that the resulting performance is very close to that of a maximum-likelihood decoder, even for moderate values of $L$. Alternatively, if a \"genie\" is allowed to pick the codeword from the list, the results","authors_text":"Alexander Vardy, Ido Tal","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-31T23:33:40Z","title":"List Decoding of Polar Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0050","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":"sha256:31d714ae9642a759cb983c5d6e73557f2ea773d68a4380b1c41df4e79ecbad99","target":"record","created_at":"2026-05-18T03:54:27Z","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":"06a80f254f70bb4829237d20ffc7b738324e559b43f1941efcd4f00b83ef1d33","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-05-31T23:33:40Z","title_canon_sha256":"cfe2b65a8491fb18ec91423ebbc478324e6f8daa52c3ec004302343c6c903bad"},"schema_version":"1.0","source":{"id":"1206.0050","kind":"arxiv","version":1}},"canonical_sha256":"d4a137a705e2f9dddc1123cc22a2cc6905123deabef064770b265a158b9480fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4a137a705e2f9dddc1123cc22a2cc6905123deabef064770b265a158b9480fb","first_computed_at":"2026-05-18T03:54:27.199561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:27.199561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lCE3Kvrr9SHItX7AY+L4rpQKAAM9/nJjna6v/SKuo9roAb4xFUdATMlA7A+RTCP6Fhf7Sbk2WPkiTmTDPn09AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:27.200250Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.0050","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31d714ae9642a759cb983c5d6e73557f2ea773d68a4380b1c41df4e79ecbad99","sha256:428903e274b0ae621176f500ae2084cef6eb14a59a450f95e233382919c16f5b"],"state_sha256":"cb7475b7dfa4b39cb51f7a84b0d42d86866f15ec744d6d32e62273b3ad380cf2"}