{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NQ4BOL3YACX5KE2KHCAZUR52NZ","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":"16ced6a549efd44d6bcee79cec661fa680694d7e48cca6ca8cc9568edc0dfc68","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-29T20:23:17Z","title_canon_sha256":"974b6021294a4cce51874d2ab34670352e5575e8fab67d808d978fa277779107"},"schema_version":"1.0","source":{"id":"1605.00020","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00020","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00020v2","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00020","created_at":"2026-05-18T01:15:33Z"},{"alias_kind":"pith_short_12","alias_value":"NQ4BOL3YACX5","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NQ4BOL3YACX5KE2K","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NQ4BOL3Y","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:236bd165f8e97a3874b2a5f672ded7cf4a5ea31a44a6991c2743ed0f3e788fa3","target":"graph","created_at":"2026-05-18T01:15:33Z","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":"In this work, we give locally repairable regenerating code (LRRC) [1]-[3], [5], [6] constructions that can protect the file size promised by the graph analysis of the modified family helper selection (MFHS) scheme [1] at the minimum-bandwidth-regenerating (MBR) point.","authors_text":"Chih-Chun Wang, Imad Ahmad","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-29T20:23:17Z","title":"Locally Repairable Regenerating Code Constructions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00020","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:e5bfeaa3ce67d0019165880c17e4e1b6be38e832a2fe3295da549844a75ad684","target":"record","created_at":"2026-05-18T01:15:33Z","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":"16ced6a549efd44d6bcee79cec661fa680694d7e48cca6ca8cc9568edc0dfc68","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-29T20:23:17Z","title_canon_sha256":"974b6021294a4cce51874d2ab34670352e5575e8fab67d808d978fa277779107"},"schema_version":"1.0","source":{"id":"1605.00020","kind":"arxiv","version":2}},"canonical_sha256":"6c38172f7800afd5134a38819a47ba6e7b7bbddca3d8d4d7aa675e4e03bc6f37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c38172f7800afd5134a38819a47ba6e7b7bbddca3d8d4d7aa675e4e03bc6f37","first_computed_at":"2026-05-18T01:15:33.848106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:33.848106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mYhZ2o3qhzsOqRSOwirj2a5byvO/MPirME7g/cVDlOol8D6tX6ZR9rD8s6LZkAIpnp0QhhaFVlJXjhhbfsu7BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:33.848726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00020","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5bfeaa3ce67d0019165880c17e4e1b6be38e832a2fe3295da549844a75ad684","sha256:236bd165f8e97a3874b2a5f672ded7cf4a5ea31a44a6991c2743ed0f3e788fa3"],"state_sha256":"d851d6bb9ee6545c888a5f8f83d08b8b0126f2a3b98993c068cb2006fa39d5a1"}