{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MMTO65OBJ7AXNIZDQIGVB6GQMS","short_pith_number":"pith:MMTO65OB","schema_version":"1.0","canonical_sha256":"6326ef75c14fc176a323820d50f8d064bd5a7b066e236695aa71a3a1d5672a6a","source":{"kind":"arxiv","id":"1904.05623","version":2},"attestation_state":"computed","paper":{"title":"On Error Decoding of Locally Repairable and Partial MDS Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Antonia Wachter-Zeh, Lukas Holzbaur, Sven Puchinger","submitted_at":"2019-04-11T10:59:52Z","abstract_excerpt":"We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that there is a wide range of parameters for which interleaved decoding can increase their decoding radius beyond the minimum distance with the probability of successful decoding approaching $1$, when the code length goes to infinity."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.05623","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-11T10:59:52Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"98df444ec9bbb41e04dcd9ee05a0bcfb09aa546045ee6d85fa6d48d5d6033a59","abstract_canon_sha256":"42c3c971f03e7d10afdb41674e5b18c0d06e5d2c459a742eb1b42b09c086cdd0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:17.360077Z","signature_b64":"6jOKwIosOItWAMfxCoRfz5H9kexcItHWIPIZYsDKsTyHfuNk30MPLDDAdqCdKHk4D44EIRBpndz3kGqfR4mEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6326ef75c14fc176a323820d50f8d064bd5a7b066e236695aa71a3a1d5672a6a","last_reissued_at":"2026-05-17T23:41:17.359531Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:17.359531Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Error Decoding of Locally Repairable and Partial MDS Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Antonia Wachter-Zeh, Lukas Holzbaur, Sven Puchinger","submitted_at":"2019-04-11T10:59:52Z","abstract_excerpt":"We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that there is a wide range of parameters for which interleaved decoding can increase their decoding radius beyond the minimum distance with the probability of successful decoding approaching $1$, when the code length goes to infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05623","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.05623","created_at":"2026-05-17T23:41:17.359610+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.05623v2","created_at":"2026-05-17T23:41:17.359610+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05623","created_at":"2026-05-17T23:41:17.359610+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMTO65OBJ7AX","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMTO65OBJ7AXNIZD","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMTO65OB","created_at":"2026-05-18T12:33:21.387695+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS","json":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS.json","graph_json":"https://pith.science/api/pith-number/MMTO65OBJ7AXNIZDQIGVB6GQMS/graph.json","events_json":"https://pith.science/api/pith-number/MMTO65OBJ7AXNIZDQIGVB6GQMS/events.json","paper":"https://pith.science/paper/MMTO65OB"},"agent_actions":{"view_html":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS","download_json":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS.json","view_paper":"https://pith.science/paper/MMTO65OB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.05623&json=true","fetch_graph":"https://pith.science/api/pith-number/MMTO65OBJ7AXNIZDQIGVB6GQMS/graph.json","fetch_events":"https://pith.science/api/pith-number/MMTO65OBJ7AXNIZDQIGVB6GQMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS/action/storage_attestation","attest_author":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS/action/author_attestation","sign_citation":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS/action/citation_signature","submit_replication":"https://pith.science/pith/MMTO65OBJ7AXNIZDQIGVB6GQMS/action/replication_record"}},"created_at":"2026-05-17T23:41:17.359610+00:00","updated_at":"2026-05-17T23:41:17.359610+00:00"}