{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:D4LERRLLO3QU3ZDDZFOXOMXSRS","short_pith_number":"pith:D4LERRLL","schema_version":"1.0","canonical_sha256":"1f1648c56b76e14de463c95d7732f28ca75b6de797d5904db4500097acecc797","source":{"kind":"arxiv","id":"1704.08627","version":1},"attestation_state":"computed","paper":{"title":"Locality via Partially Lifted Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mary Wootters, S. Luna Frank-Fischer, Venkatesan Guruswami","submitted_at":"2017-04-27T15:48:39Z","abstract_excerpt":"In error-correcting codes, locality refers to several different ways of quantifying how easily a small amount of information can be recovered from encoded data. In this work, we study a notion of locality called the s-Disjoint-Repair-Group Property (s-DRGP). This notion can interpolate between two very different settings in coding theory: that of Locally Correctable Codes (LCCs) when s is large---a very strong guarantee---and Locally Recoverable Codes (LRCs) when s is small---a relatively weaker guarantee. This motivates the study of the s-DRGP for intermediate s, which is the focus of our pap"},"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":"1704.08627","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-27T15:48:39Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"17ef738b3dcbdd28374881ccc2be7a3b9cce7b65fabeb31675a7ef226cd67257","abstract_canon_sha256":"e43df68075f85b5a0b222f98ff472f0449ff1f90a55d71bec07dac329d06dadc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:27.289174Z","signature_b64":"iHUF6ioBUuEyspq3pX4AYagw9m8P+d4BL3rEacWgBaPZ10PAXw9SkNr4BfBX70dY/OENqo9kYklj/8Z7OaVaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f1648c56b76e14de463c95d7732f28ca75b6de797d5904db4500097acecc797","last_reissued_at":"2026-05-18T00:45:27.288761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:27.288761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Locality via Partially Lifted Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mary Wootters, S. Luna Frank-Fischer, Venkatesan Guruswami","submitted_at":"2017-04-27T15:48:39Z","abstract_excerpt":"In error-correcting codes, locality refers to several different ways of quantifying how easily a small amount of information can be recovered from encoded data. In this work, we study a notion of locality called the s-Disjoint-Repair-Group Property (s-DRGP). This notion can interpolate between two very different settings in coding theory: that of Locally Correctable Codes (LCCs) when s is large---a very strong guarantee---and Locally Recoverable Codes (LRCs) when s is small---a relatively weaker guarantee. This motivates the study of the s-DRGP for intermediate s, which is the focus of our pap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08627","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1704.08627","created_at":"2026-05-18T00:45:27.288821+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.08627v1","created_at":"2026-05-18T00:45:27.288821+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08627","created_at":"2026-05-18T00:45:27.288821+00:00"},{"alias_kind":"pith_short_12","alias_value":"D4LERRLLO3QU","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"D4LERRLLO3QU3ZDD","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"D4LERRLL","created_at":"2026-05-18T12:31:10.602751+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/D4LERRLLO3QU3ZDDZFOXOMXSRS","json":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS.json","graph_json":"https://pith.science/api/pith-number/D4LERRLLO3QU3ZDDZFOXOMXSRS/graph.json","events_json":"https://pith.science/api/pith-number/D4LERRLLO3QU3ZDDZFOXOMXSRS/events.json","paper":"https://pith.science/paper/D4LERRLL"},"agent_actions":{"view_html":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS","download_json":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS.json","view_paper":"https://pith.science/paper/D4LERRLL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.08627&json=true","fetch_graph":"https://pith.science/api/pith-number/D4LERRLLO3QU3ZDDZFOXOMXSRS/graph.json","fetch_events":"https://pith.science/api/pith-number/D4LERRLLO3QU3ZDDZFOXOMXSRS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS/action/storage_attestation","attest_author":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS/action/author_attestation","sign_citation":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS/action/citation_signature","submit_replication":"https://pith.science/pith/D4LERRLLO3QU3ZDDZFOXOMXSRS/action/replication_record"}},"created_at":"2026-05-18T00:45:27.288821+00:00","updated_at":"2026-05-18T00:45:27.288821+00:00"}