{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:OGE2C4Y63IBMHE5NT7RKZJI5WK","short_pith_number":"pith:OGE2C4Y6","canonical_record":{"source":{"id":"1902.02402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-06T21:27:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6bd4a4fe8680891161636abdd9a57983ba09c76399595cac4226f5408512c257","abstract_canon_sha256":"fb2e921321d48594374799058ece1ded18195be758fe49d0b148d9911398a30e"},"schema_version":"1.0"},"canonical_sha256":"7189a1731eda02c393ad9fe2aca51db29306752361e5590ba26d7706bdd27811","source":{"kind":"arxiv","id":"1902.02402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02402","created_at":"2026-05-17T23:40:33Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02402v1","created_at":"2026-05-17T23:40:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02402","created_at":"2026-05-17T23:40:33Z"},{"alias_kind":"pith_short_12","alias_value":"OGE2C4Y63IBM","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OGE2C4Y63IBMHE5N","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OGE2C4Y6","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:OGE2C4Y63IBMHE5NT7RKZJI5WK","target":"record","payload":{"canonical_record":{"source":{"id":"1902.02402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-06T21:27:44Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6bd4a4fe8680891161636abdd9a57983ba09c76399595cac4226f5408512c257","abstract_canon_sha256":"fb2e921321d48594374799058ece1ded18195be758fe49d0b148d9911398a30e"},"schema_version":"1.0"},"canonical_sha256":"7189a1731eda02c393ad9fe2aca51db29306752361e5590ba26d7706bdd27811","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:33.443539Z","signature_b64":"vcv01JijTF4GOQAVg+c2Z1HeP8zYilK1EzPC43ye/I4ZyvcQCyaDRXM4wGti9b1bBVmgjjsQ7tbjJ7ixmfzhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7189a1731eda02c393ad9fe2aca51db29306752361e5590ba26d7706bdd27811","last_reissued_at":"2026-05-17T23:40:33.443075Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:33.443075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.02402","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:40:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hThWN/gGTDlApzQJ+IXSMQeMnQzAEmPR+YL7thKi+tSetYd22AAkzhwB029GDB5ACYJc1qLyHQzNmMumSOvRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:00:51.556731Z"},"content_sha256":"92edd560eb56eaa6ccd338a0e25cb16f3c38ed4ee08b671fce2e44ff7701d6d0","schema_version":"1.0","event_id":"sha256:92edd560eb56eaa6ccd338a0e25cb16f3c38ed4ee08b671fce2e44ff7701d6d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:OGE2C4Y63IBMHE5NT7RKZJI5WK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymmetric Construction of Low-Latency and Length-Flexible Polar Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Adam Cavatassi, Thibaud Tonnellier, Warren J. Gross","submitted_at":"2019-02-06T21:27:44Z","abstract_excerpt":"Polar codes are a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar coding scheme, which is limited in block length to powers of two. This constraint presents a considerable obstacle since practical applications call for all code lengths to be readily available. Puncturing and shortening techniques allow for flexible polar codes, while multi-kernel polar codes produce native code lengths that are powers of two and/or three."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02402","kind":"arxiv","version":1},"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":"2026-05-17T23:40:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vqdxy5hYw9U0oAVIAui67u4PNrj5ul+cjpQodHfO5wiwI3TZqjjdOuvkHwT+eiRDey3SaAXHRuSuzKazeFsnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:00:51.557085Z"},"content_sha256":"0362e61388ffe0b3ba31243a09826efa84475991127a6fbc82414572e802a115","schema_version":"1.0","event_id":"sha256:0362e61388ffe0b3ba31243a09826efa84475991127a6fbc82414572e802a115"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK/bundle.json","state_url":"https://pith.science/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK/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":"2026-05-27T15:00:51Z","links":{"resolver":"https://pith.science/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK","bundle":"https://pith.science/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK/bundle.json","state":"https://pith.science/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OGE2C4Y63IBMHE5NT7RKZJI5WK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OGE2C4Y63IBMHE5NT7RKZJI5WK","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":"fb2e921321d48594374799058ece1ded18195be758fe49d0b148d9911398a30e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-06T21:27:44Z","title_canon_sha256":"6bd4a4fe8680891161636abdd9a57983ba09c76399595cac4226f5408512c257"},"schema_version":"1.0","source":{"id":"1902.02402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02402","created_at":"2026-05-17T23:40:33Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02402v1","created_at":"2026-05-17T23:40:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02402","created_at":"2026-05-17T23:40:33Z"},{"alias_kind":"pith_short_12","alias_value":"OGE2C4Y63IBM","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OGE2C4Y63IBMHE5N","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OGE2C4Y6","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:0362e61388ffe0b3ba31243a09826efa84475991127a6fbc82414572e802a115","target":"graph","created_at":"2026-05-17T23:40:33Z","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 a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar coding scheme, which is limited in block length to powers of two. This constraint presents a considerable obstacle since practical applications call for all code lengths to be readily available. Puncturing and shortening techniques allow for flexible polar codes, while multi-kernel polar codes produce native code lengths that are powers of two and/or three.","authors_text":"Adam Cavatassi, Thibaud Tonnellier, Warren J. Gross","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-06T21:27:44Z","title":"Asymmetric Construction of Low-Latency and Length-Flexible Polar Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02402","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":"sha256:92edd560eb56eaa6ccd338a0e25cb16f3c38ed4ee08b671fce2e44ff7701d6d0","target":"record","created_at":"2026-05-17T23:40:33Z","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":"fb2e921321d48594374799058ece1ded18195be758fe49d0b148d9911398a30e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-06T21:27:44Z","title_canon_sha256":"6bd4a4fe8680891161636abdd9a57983ba09c76399595cac4226f5408512c257"},"schema_version":"1.0","source":{"id":"1902.02402","kind":"arxiv","version":1}},"canonical_sha256":"7189a1731eda02c393ad9fe2aca51db29306752361e5590ba26d7706bdd27811","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7189a1731eda02c393ad9fe2aca51db29306752361e5590ba26d7706bdd27811","first_computed_at":"2026-05-17T23:40:33.443075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:33.443075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vcv01JijTF4GOQAVg+c2Z1HeP8zYilK1EzPC43ye/I4ZyvcQCyaDRXM4wGti9b1bBVmgjjsQ7tbjJ7ixmfzhDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:33.443539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92edd560eb56eaa6ccd338a0e25cb16f3c38ed4ee08b671fce2e44ff7701d6d0","sha256:0362e61388ffe0b3ba31243a09826efa84475991127a6fbc82414572e802a115"],"state_sha256":"5bbb5fc4d56139a77e4ca840e3bf03a09df75a931c9c659129b16f820c733a82"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c/gZ6jJ5HKc5rBWs6L2b1jqTCWZW5t1HOpPxULxvexibFTQT3MmxNh3oW5BpGYhIw+l8OKQGG+GqtIV2b+pTBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:00:51.560592Z","bundle_sha256":"b2355d1e98236e842516f8dc98df7ab50e28df7f3f7afa8a19566af0da4b2e66"}}