{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:C2RHIPELCSLCFNLVV3RQBBPSB4","short_pith_number":"pith:C2RHIPEL","canonical_record":{"source":{"id":"1505.05124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-19T19:30:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4e5d6f273d9ff68a32ab0f4fbfb4230a73835fdff7f6bf97a14d5c557eaffd05","abstract_canon_sha256":"d4ee25767a71bb7a167abcbe4548c8e3e486a0a1a0d743adda54ecbad43ccc11"},"schema_version":"1.0"},"canonical_sha256":"16a2743c8b149622b575aee30085f20f2b0fe8d9bf1f66e4530156fb3ccae36e","source":{"kind":"arxiv","id":"1505.05124","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05124","created_at":"2026-05-18T01:15:36Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05124v2","created_at":"2026-05-18T01:15:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05124","created_at":"2026-05-18T01:15:36Z"},{"alias_kind":"pith_short_12","alias_value":"C2RHIPELCSLC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C2RHIPELCSLCFNLV","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C2RHIPEL","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:C2RHIPELCSLCFNLVV3RQBBPSB4","target":"record","payload":{"canonical_record":{"source":{"id":"1505.05124","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-19T19:30:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4e5d6f273d9ff68a32ab0f4fbfb4230a73835fdff7f6bf97a14d5c557eaffd05","abstract_canon_sha256":"d4ee25767a71bb7a167abcbe4548c8e3e486a0a1a0d743adda54ecbad43ccc11"},"schema_version":"1.0"},"canonical_sha256":"16a2743c8b149622b575aee30085f20f2b0fe8d9bf1f66e4530156fb3ccae36e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:36.262392Z","signature_b64":"0BS2RowiUUSIRDZ8EZmG51U98nmtqyAHrwlcLvQUPWTmy4Q0WG9oXImOFsOa/kZgiE5ycifK04HgtjzfS7fuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16a2743c8b149622b575aee30085f20f2b0fe8d9bf1f66e4530156fb3ccae36e","last_reissued_at":"2026-05-18T01:15:36.261812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:36.261812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.05124","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":"2026-05-18T01:15:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"msTFMZkMWMPg5kWjJsuAkFw1tqLtDSvmJCKGx6ZmzLWn1EALJLzpl/i6KOugQxlshARIKCO5elqTVvrxM7piDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:09:57.800656Z"},"content_sha256":"76e706b4119a3b432da2567f1f166953e4615ed27e0b32b8fcf2586ef561ef2b","schema_version":"1.0","event_id":"sha256:76e706b4119a3b432da2567f1f166953e4615ed27e0b32b8fcf2586ef561ef2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:C2RHIPELCSLCFNLVV3RQBBPSB4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locally Repairable Regenerating Codes: Node Unavailability and the Insufficiency of Stationary Local Repair","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chih-Chun Wang, Imad Ahmad","submitted_at":"2015-05-19T19:30:24Z","abstract_excerpt":"Locally repairable codes (LRCs) are ingeniously designed distributed storage codes with a (usually small) fixed set of helper nodes participating in repair. Since most existing LRCs assume exact repair and allow full exchange of the stored data ($\\beta=\\alpha$) from the helper nodes, they can be viewed as a generalization of the traditional erasure codes (ECs) with a much desired feature of local repairability via predetermined sets of helpers. However, it also means that they lack the features of (i) functional repair, and (ii) partial information-exchange ($\\beta<\\alpha$) in the original reg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05124","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":"2026-05-18T01:15:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hbnc0Vt9ClcQ17RPzbaQ24X9Ln/Tv80AkqcGJJWiFyY8wIULeoOulKGr+QHRcFW3MNJ17nTLL260c4yGb84YBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T12:09:57.800998Z"},"content_sha256":"4a6ad8b7317a17d96fa8de8496a0f4ada6943f7c77274273037a837c9d082b30","schema_version":"1.0","event_id":"sha256:4a6ad8b7317a17d96fa8de8496a0f4ada6943f7c77274273037a837c9d082b30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C2RHIPELCSLCFNLVV3RQBBPSB4/bundle.json","state_url":"https://pith.science/pith/C2RHIPELCSLCFNLVV3RQBBPSB4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C2RHIPELCSLCFNLVV3RQBBPSB4/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":"2026-07-07T12:09:57Z","links":{"resolver":"https://pith.science/pith/C2RHIPELCSLCFNLVV3RQBBPSB4","bundle":"https://pith.science/pith/C2RHIPELCSLCFNLVV3RQBBPSB4/bundle.json","state":"https://pith.science/pith/C2RHIPELCSLCFNLVV3RQBBPSB4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C2RHIPELCSLCFNLVV3RQBBPSB4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:C2RHIPELCSLCFNLVV3RQBBPSB4","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":"d4ee25767a71bb7a167abcbe4548c8e3e486a0a1a0d743adda54ecbad43ccc11","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-19T19:30:24Z","title_canon_sha256":"4e5d6f273d9ff68a32ab0f4fbfb4230a73835fdff7f6bf97a14d5c557eaffd05"},"schema_version":"1.0","source":{"id":"1505.05124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.05124","created_at":"2026-05-18T01:15:36Z"},{"alias_kind":"arxiv_version","alias_value":"1505.05124v2","created_at":"2026-05-18T01:15:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.05124","created_at":"2026-05-18T01:15:36Z"},{"alias_kind":"pith_short_12","alias_value":"C2RHIPELCSLC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C2RHIPELCSLCFNLV","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C2RHIPEL","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:4a6ad8b7317a17d96fa8de8496a0f4ada6943f7c77274273037a837c9d082b30","target":"graph","created_at":"2026-05-18T01:15:36Z","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":"Locally repairable codes (LRCs) are ingeniously designed distributed storage codes with a (usually small) fixed set of helper nodes participating in repair. Since most existing LRCs assume exact repair and allow full exchange of the stored data ($\\beta=\\alpha$) from the helper nodes, they can be viewed as a generalization of the traditional erasure codes (ECs) with a much desired feature of local repairability via predetermined sets of helpers. However, it also means that they lack the features of (i) functional repair, and (ii) partial information-exchange ($\\beta<\\alpha$) in the original reg","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":"2015-05-19T19:30:24Z","title":"Locally Repairable Regenerating Codes: Node Unavailability and the Insufficiency of Stationary Local Repair"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.05124","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":"sha256:76e706b4119a3b432da2567f1f166953e4615ed27e0b32b8fcf2586ef561ef2b","target":"record","created_at":"2026-05-18T01:15:36Z","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":"d4ee25767a71bb7a167abcbe4548c8e3e486a0a1a0d743adda54ecbad43ccc11","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-19T19:30:24Z","title_canon_sha256":"4e5d6f273d9ff68a32ab0f4fbfb4230a73835fdff7f6bf97a14d5c557eaffd05"},"schema_version":"1.0","source":{"id":"1505.05124","kind":"arxiv","version":2}},"canonical_sha256":"16a2743c8b149622b575aee30085f20f2b0fe8d9bf1f66e4530156fb3ccae36e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16a2743c8b149622b575aee30085f20f2b0fe8d9bf1f66e4530156fb3ccae36e","first_computed_at":"2026-05-18T01:15:36.261812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:36.261812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0BS2RowiUUSIRDZ8EZmG51U98nmtqyAHrwlcLvQUPWTmy4Q0WG9oXImOFsOa/kZgiE5ycifK04HgtjzfS7fuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:36.262392Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.05124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76e706b4119a3b432da2567f1f166953e4615ed27e0b32b8fcf2586ef561ef2b","sha256:4a6ad8b7317a17d96fa8de8496a0f4ada6943f7c77274273037a837c9d082b30"],"state_sha256":"e58bbda9025e97e15cfca3e7103c95587369c91b54897a404413de6c27ba086f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ue8O9XmaUB0ck0CcMvbRPN/svFSpia/HR5bXVTBgYc9zSCLzCZxMtlUUMIQwG+h7E4luSbd2ebTTnmZUBmT8Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T12:09:57.802828Z","bundle_sha256":"eafb30da67322e5e9fc744bb979198263b88ff02403dd62ebed7494430740a9c"}}