{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ENSZLGZ5CWX54W7YZMJFSKRN65","short_pith_number":"pith:ENSZLGZ5","canonical_record":{"source":{"id":"1801.03931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-11T15:13:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"493d0825949d7d5dc4b5cc82632a51e9e5ac1929c5d7449a0e8ba929311492d5","abstract_canon_sha256":"8f255ed8a9805337cd5c2f5253c8b240383ecc54a4efd385d6d52420a775cf95"},"schema_version":"1.0"},"canonical_sha256":"2365959b3d15afde5bf8cb12592a2df745b6263de4c53c70acb9c25b7489bbab","source":{"kind":"arxiv","id":"1801.03931","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03931","created_at":"2026-05-18T00:26:12Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03931v1","created_at":"2026-05-18T00:26:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03931","created_at":"2026-05-18T00:26:12Z"},{"alias_kind":"pith_short_12","alias_value":"ENSZLGZ5CWX5","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ENSZLGZ5CWX54W7Y","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ENSZLGZ5","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ENSZLGZ5CWX54W7YZMJFSKRN65","target":"record","payload":{"canonical_record":{"source":{"id":"1801.03931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-11T15:13:27Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"493d0825949d7d5dc4b5cc82632a51e9e5ac1929c5d7449a0e8ba929311492d5","abstract_canon_sha256":"8f255ed8a9805337cd5c2f5253c8b240383ecc54a4efd385d6d52420a775cf95"},"schema_version":"1.0"},"canonical_sha256":"2365959b3d15afde5bf8cb12592a2df745b6263de4c53c70acb9c25b7489bbab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:12.298158Z","signature_b64":"FL4JhbjF/AOEYtJgyi3zO5Q0EC1PQ3W9pyVsHysdNKSlr+Ck353ry6kSW9oEVgFQLFB3a7vGEVW2scW70D0JDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2365959b3d15afde5bf8cb12592a2df745b6263de4c53c70acb9c25b7489bbab","last_reissued_at":"2026-05-18T00:26:12.297560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:12.297560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.03931","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":"2026-05-18T00:26:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Bsn1f7eoqC1ge1yGYp7Ft2YSP7FBrMuTXpRamKxaoPlgunipkO3nYcIUUrxaU3wROvcRf73k+EhvFUK/esoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:43:54.448421Z"},"content_sha256":"8f961f086b131ee03304c0c7b8c95d076799362a851735f96fe1bd58cca4a22c","schema_version":"1.0","event_id":"sha256:8f961f086b131ee03304c0c7b8c95d076799362a851735f96fe1bd58cca4a22c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ENSZLGZ5CWX54W7YZMJFSKRN65","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Results on Multilevel Diversity Coding with Secure Regeneration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chao Tian, Cong Shen, Shuo Shao, Tie Liu","submitted_at":"2018-01-11T15:13:27Z","abstract_excerpt":"The problem of multilevel diversity coding with secure regeneration is revisited. Under the assumption that the eavesdropper can access the repair data for all compromised storage nodes, Shao el al. provided a precise characterization of the minimum-bandwidth-regeneration (MBR) point of the achievable normalized storage-capacity repair-bandwidth tradeoff region. In this paper, it is shown that the MBR point of the achievable normalized storage-capacity repair-bandwidth tradeoff region remains the same even if we assume that the eavesdropper can access the repair data for some compromised stora"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03931","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":"2026-05-18T00:26:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fIdJF/rzMJ2GF0fyvQF0bjAFtM0LJaAIuupBxn8OV8bQ/XYf91PebNNmixuI3o8o+DEZiz/r4FTuijsnqZy8BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:43:54.449097Z"},"content_sha256":"ec52bffb6c5507a51ba77823ba5a0733ed9e6d3607df861fd2eed6e7af0c7231","schema_version":"1.0","event_id":"sha256:ec52bffb6c5507a51ba77823ba5a0733ed9e6d3607df861fd2eed6e7af0c7231"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENSZLGZ5CWX54W7YZMJFSKRN65/bundle.json","state_url":"https://pith.science/pith/ENSZLGZ5CWX54W7YZMJFSKRN65/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENSZLGZ5CWX54W7YZMJFSKRN65/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":"2026-05-26T04:43:54Z","links":{"resolver":"https://pith.science/pith/ENSZLGZ5CWX54W7YZMJFSKRN65","bundle":"https://pith.science/pith/ENSZLGZ5CWX54W7YZMJFSKRN65/bundle.json","state":"https://pith.science/pith/ENSZLGZ5CWX54W7YZMJFSKRN65/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENSZLGZ5CWX54W7YZMJFSKRN65/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ENSZLGZ5CWX54W7YZMJFSKRN65","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":"8f255ed8a9805337cd5c2f5253c8b240383ecc54a4efd385d6d52420a775cf95","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-11T15:13:27Z","title_canon_sha256":"493d0825949d7d5dc4b5cc82632a51e9e5ac1929c5d7449a0e8ba929311492d5"},"schema_version":"1.0","source":{"id":"1801.03931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.03931","created_at":"2026-05-18T00:26:12Z"},{"alias_kind":"arxiv_version","alias_value":"1801.03931v1","created_at":"2026-05-18T00:26:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.03931","created_at":"2026-05-18T00:26:12Z"},{"alias_kind":"pith_short_12","alias_value":"ENSZLGZ5CWX5","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ENSZLGZ5CWX54W7Y","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ENSZLGZ5","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:ec52bffb6c5507a51ba77823ba5a0733ed9e6d3607df861fd2eed6e7af0c7231","target":"graph","created_at":"2026-05-18T00:26:12Z","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":"The problem of multilevel diversity coding with secure regeneration is revisited. Under the assumption that the eavesdropper can access the repair data for all compromised storage nodes, Shao el al. provided a precise characterization of the minimum-bandwidth-regeneration (MBR) point of the achievable normalized storage-capacity repair-bandwidth tradeoff region. In this paper, it is shown that the MBR point of the achievable normalized storage-capacity repair-bandwidth tradeoff region remains the same even if we assume that the eavesdropper can access the repair data for some compromised stora","authors_text":"Chao Tian, Cong Shen, Shuo Shao, Tie Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-11T15:13:27Z","title":"New Results on Multilevel Diversity Coding with Secure Regeneration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.03931","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":"sha256:8f961f086b131ee03304c0c7b8c95d076799362a851735f96fe1bd58cca4a22c","target":"record","created_at":"2026-05-18T00:26:12Z","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":"8f255ed8a9805337cd5c2f5253c8b240383ecc54a4efd385d6d52420a775cf95","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-01-11T15:13:27Z","title_canon_sha256":"493d0825949d7d5dc4b5cc82632a51e9e5ac1929c5d7449a0e8ba929311492d5"},"schema_version":"1.0","source":{"id":"1801.03931","kind":"arxiv","version":1}},"canonical_sha256":"2365959b3d15afde5bf8cb12592a2df745b6263de4c53c70acb9c25b7489bbab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2365959b3d15afde5bf8cb12592a2df745b6263de4c53c70acb9c25b7489bbab","first_computed_at":"2026-05-18T00:26:12.297560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:12.297560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FL4JhbjF/AOEYtJgyi3zO5Q0EC1PQ3W9pyVsHysdNKSlr+Ck353ry6kSW9oEVgFQLFB3a7vGEVW2scW70D0JDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:12.298158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.03931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f961f086b131ee03304c0c7b8c95d076799362a851735f96fe1bd58cca4a22c","sha256:ec52bffb6c5507a51ba77823ba5a0733ed9e6d3607df861fd2eed6e7af0c7231"],"state_sha256":"72766f418fd23e1c16edd25779b6be7240d6ec3b4f48e840dff0fa7714457f37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xnQwDlG32CYfQdck1k6ieylEZBD75b0sPn43KEK9C0djsUAcHDhhLU5v3X81oqWowC0VU77mr4z7BKiP2UnhCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:43:54.453724Z","bundle_sha256":"560a285595272e0b44ee3002aa04ccd3c38918c9c2c16153719a72beea6900ce"}}