{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:A6MTHVTDZANBR4WAAW2PZ4EKCU","short_pith_number":"pith:A6MTHVTD","canonical_record":{"source":{"id":"1404.1736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-07T10:45:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bf12d797dbfc9b4f31584181a128d7749f380f65a1b5171fe039e22d2a64dbe8","abstract_canon_sha256":"808d159762f7636ef811c12e1a3a361331e301efccddd9fb86177a21fc78d491"},"schema_version":"1.0"},"canonical_sha256":"079933d663c81a18f2c005b4fcf08a15052657acda4e25816cee6a268c75fb87","source":{"kind":"arxiv","id":"1404.1736","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1736","created_at":"2026-05-18T02:27:44Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1736v2","created_at":"2026-05-18T02:27:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1736","created_at":"2026-05-18T02:27:44Z"},{"alias_kind":"pith_short_12","alias_value":"A6MTHVTDZANB","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A6MTHVTDZANBR4WA","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A6MTHVTD","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:A6MTHVTDZANBR4WAAW2PZ4EKCU","target":"record","payload":{"canonical_record":{"source":{"id":"1404.1736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-07T10:45:28Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bf12d797dbfc9b4f31584181a128d7749f380f65a1b5171fe039e22d2a64dbe8","abstract_canon_sha256":"808d159762f7636ef811c12e1a3a361331e301efccddd9fb86177a21fc78d491"},"schema_version":"1.0"},"canonical_sha256":"079933d663c81a18f2c005b4fcf08a15052657acda4e25816cee6a268c75fb87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:44.656799Z","signature_b64":"0KUsowiy+sbBuyVc8tdwg1Vy/3Gvq368ovDPSklh2J9mTpbrJvsCQ71Pl74G9bxXCmLfEBZ0gMeaaJtbfu+xDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"079933d663c81a18f2c005b4fcf08a15052657acda4e25816cee6a268c75fb87","last_reissued_at":"2026-05-18T02:27:44.656367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:44.656367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.1736","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:27:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ZW0inIu3ZiYyOkYTCHaQ9AJq6vBYwSEIldzxIlWsIAQkYesSfgS0IP4MlbCxDViDpIDKKIMEqAtTdxuVFyzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T13:02:57.477187Z"},"content_sha256":"cb90e5a08502793473279368391b8f30162ea861e1a25ffd0601324b40d35cd2","schema_version":"1.0","event_id":"sha256:cb90e5a08502793473279368391b8f30162ea861e1a25ffd0601324b40d35cd2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:A6MTHVTDZANBR4WAAW2PZ4EKCU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Faulty Successive Cancellation Decoding of Polar Codes for the Binary Erasure Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexios Balatsoukas-Stimming, Andreas Burg","submitted_at":"2014-04-07T10:45:28Z","abstract_excerpt":"We study faulty successive cancellation decoding of polar codes for the binary erasure channel. To this end, we introduce a simple erasure-based fault model and we show that, under this model, polarization does not happen, meaning that fully reliable communication is not possible at any rate. Moreover, we provide numerical results for the frame erasure rate and bit erasure rate and we study an unequal error protection scheme that can significantly improve the performance of the faulty successive cancellation decoder with negligible overhead."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1736","kind":"arxiv","version":2},"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":"2026-05-18T02:27:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ic2tT9BDX4SfHNpt87fQySzZPuw6EEBVUQ708xbDIO4tEzpGe3aXxfFqsToaViuR5Wn+M+EofpXM9l4B4loAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T13:02:57.478052Z"},"content_sha256":"baa48e2a2d7a048dcc06bac833d86e2c368286dbf9e74cfe0ca6eaf6fcb5c5d7","schema_version":"1.0","event_id":"sha256:baa48e2a2d7a048dcc06bac833d86e2c368286dbf9e74cfe0ca6eaf6fcb5c5d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU/bundle.json","state_url":"https://pith.science/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU/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":"2026-05-31T13:02:57Z","links":{"resolver":"https://pith.science/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU","bundle":"https://pith.science/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU/bundle.json","state":"https://pith.science/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A6MTHVTDZANBR4WAAW2PZ4EKCU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:A6MTHVTDZANBR4WAAW2PZ4EKCU","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":"808d159762f7636ef811c12e1a3a361331e301efccddd9fb86177a21fc78d491","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-07T10:45:28Z","title_canon_sha256":"bf12d797dbfc9b4f31584181a128d7749f380f65a1b5171fe039e22d2a64dbe8"},"schema_version":"1.0","source":{"id":"1404.1736","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1736","created_at":"2026-05-18T02:27:44Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1736v2","created_at":"2026-05-18T02:27:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1736","created_at":"2026-05-18T02:27:44Z"},{"alias_kind":"pith_short_12","alias_value":"A6MTHVTDZANB","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A6MTHVTDZANBR4WA","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A6MTHVTD","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:baa48e2a2d7a048dcc06bac833d86e2c368286dbf9e74cfe0ca6eaf6fcb5c5d7","target":"graph","created_at":"2026-05-18T02:27:44Z","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 study faulty successive cancellation decoding of polar codes for the binary erasure channel. To this end, we introduce a simple erasure-based fault model and we show that, under this model, polarization does not happen, meaning that fully reliable communication is not possible at any rate. Moreover, we provide numerical results for the frame erasure rate and bit erasure rate and we study an unequal error protection scheme that can significantly improve the performance of the faulty successive cancellation decoder with negligible overhead.","authors_text":"Alexios Balatsoukas-Stimming, Andreas Burg","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-07T10:45:28Z","title":"Faulty Successive Cancellation Decoding of Polar Codes for the Binary Erasure Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1736","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:cb90e5a08502793473279368391b8f30162ea861e1a25ffd0601324b40d35cd2","target":"record","created_at":"2026-05-18T02:27:44Z","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":"808d159762f7636ef811c12e1a3a361331e301efccddd9fb86177a21fc78d491","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-04-07T10:45:28Z","title_canon_sha256":"bf12d797dbfc9b4f31584181a128d7749f380f65a1b5171fe039e22d2a64dbe8"},"schema_version":"1.0","source":{"id":"1404.1736","kind":"arxiv","version":2}},"canonical_sha256":"079933d663c81a18f2c005b4fcf08a15052657acda4e25816cee6a268c75fb87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"079933d663c81a18f2c005b4fcf08a15052657acda4e25816cee6a268c75fb87","first_computed_at":"2026-05-18T02:27:44.656367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:44.656367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0KUsowiy+sbBuyVc8tdwg1Vy/3Gvq368ovDPSklh2J9mTpbrJvsCQ71Pl74G9bxXCmLfEBZ0gMeaaJtbfu+xDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:44.656799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1736","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb90e5a08502793473279368391b8f30162ea861e1a25ffd0601324b40d35cd2","sha256:baa48e2a2d7a048dcc06bac833d86e2c368286dbf9e74cfe0ca6eaf6fcb5c5d7"],"state_sha256":"d9cec7bf7266e62c685d61f6e91e71e0c0f813ca2e42c2735f901fd4d46c145f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WbTf73+UFEuqGTF6qw8NDp3gw/9xpw0XpPUUUKvQeIxiSvQm9so4ByBJK5A8xzAyjlG8fxRsPFVcGFchijxuBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T13:02:57.482585Z","bundle_sha256":"d17208f60ec3d3ec5446097eb64e2695fac0d3ba492a2cdee0e152ed2542db7c"}}