{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KOF6WL5C77B36PLHQQKU5HY7B7","short_pith_number":"pith:KOF6WL5C","canonical_record":{"source":{"id":"1409.7247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-25T13:06:52Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"49dfad20c4ff59c61fa3231973bc4514fa0182d201245a26da7bd2025a5938ab","abstract_canon_sha256":"dde879ea391452c0ae55e3c353598ec630b2742acdce7d4ae353cc426f92ae75"},"schema_version":"1.0"},"canonical_sha256":"538beb2fa2ffc3bf3d6784154e9f1f0fd5fac1b7b2b5891fe5273ff850add00d","source":{"kind":"arxiv","id":"1409.7247","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7247","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7247v1","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7247","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"KOF6WL5C77B3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KOF6WL5C77B36PLH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KOF6WL5C","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KOF6WL5C77B36PLHQQKU5HY7B7","target":"record","payload":{"canonical_record":{"source":{"id":"1409.7247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-25T13:06:52Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"49dfad20c4ff59c61fa3231973bc4514fa0182d201245a26da7bd2025a5938ab","abstract_canon_sha256":"dde879ea391452c0ae55e3c353598ec630b2742acdce7d4ae353cc426f92ae75"},"schema_version":"1.0"},"canonical_sha256":"538beb2fa2ffc3bf3d6784154e9f1f0fd5fac1b7b2b5891fe5273ff850add00d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:58.827337Z","signature_b64":"eVv/K4zg2gKu6OMlI7WPBOSx5emjoe3B60t/mBb17dyTlSQqpBb2tNiWks9WP52sAXjc+NVWCIP5V6FJ3GL5Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"538beb2fa2ffc3bf3d6784154e9f1f0fd5fac1b7b2b5891fe5273ff850add00d","last_reissued_at":"2026-05-18T02:41:58.826892Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:58.826892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.7247","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":"2026-05-18T02:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mSO0OMVyyz3gF7wsbHUOsfyAEQjnSYhDZ7lrVya2wvVEyoGoWXR3tPQIB81EzehZBAaG7w101oSJllIFXy3aDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T17:00:50.456279Z"},"content_sha256":"7fc7121de13ecc0523f7c7e0f5b6345547f92ab8e95a1a408e1d9677576956b1","schema_version":"1.0","event_id":"sha256:7fc7121de13ecc0523f7c7e0f5b6345547f92ab8e95a1a408e1d9677576956b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KOF6WL5C77B36PLHQQKU5HY7B7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Node Repair for Distributed Storage Systems over Fading Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Amaro Barreal, Camilla Hollanti, David Karpuk","submitted_at":"2014-09-25T13:06:52Z","abstract_excerpt":"Distributed storage systems and associated storage codes can efficiently store a large amount of data while ensuring that data is retrievable in case of node failure. The study of such systems, particularly the design of storage codes over finite fields, assumes that the physical channel through which the nodes communicate is error-free. This is not always the case, for example, in a wireless storage system.\n  We study the probability that a subpacket is repaired incorrectly during node repair in a distributed storage system, in which the nodes communicate over an AWGN or Rayleigh fading chann"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7247","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":"2026-05-18T02:41:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MrYKa+eAOdNOKAE58K/3DvvOA9Jk0ti+EVug/ST4nWEP4qBTkMMVJnAF81sR9z1MEbt4i9rcN9H3AfgZyN0hDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T17:00:50.456661Z"},"content_sha256":"128f93fa50b10b01973f828de50ed8f37fe00d23c14752b9e402a4605d6f2437","schema_version":"1.0","event_id":"sha256:128f93fa50b10b01973f828de50ed8f37fe00d23c14752b9e402a4605d6f2437"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOF6WL5C77B36PLHQQKU5HY7B7/bundle.json","state_url":"https://pith.science/pith/KOF6WL5C77B36PLHQQKU5HY7B7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOF6WL5C77B36PLHQQKU5HY7B7/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":"2026-05-21T17:00:50Z","links":{"resolver":"https://pith.science/pith/KOF6WL5C77B36PLHQQKU5HY7B7","bundle":"https://pith.science/pith/KOF6WL5C77B36PLHQQKU5HY7B7/bundle.json","state":"https://pith.science/pith/KOF6WL5C77B36PLHQQKU5HY7B7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOF6WL5C77B36PLHQQKU5HY7B7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KOF6WL5C77B36PLHQQKU5HY7B7","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":"dde879ea391452c0ae55e3c353598ec630b2742acdce7d4ae353cc426f92ae75","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-25T13:06:52Z","title_canon_sha256":"49dfad20c4ff59c61fa3231973bc4514fa0182d201245a26da7bd2025a5938ab"},"schema_version":"1.0","source":{"id":"1409.7247","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7247","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7247v1","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7247","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"KOF6WL5C77B3","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KOF6WL5C77B36PLH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KOF6WL5C","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:128f93fa50b10b01973f828de50ed8f37fe00d23c14752b9e402a4605d6f2437","target":"graph","created_at":"2026-05-18T02:41:58Z","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":"Distributed storage systems and associated storage codes can efficiently store a large amount of data while ensuring that data is retrievable in case of node failure. The study of such systems, particularly the design of storage codes over finite fields, assumes that the physical channel through which the nodes communicate is error-free. This is not always the case, for example, in a wireless storage system.\n  We study the probability that a subpacket is repaired incorrectly during node repair in a distributed storage system, in which the nodes communicate over an AWGN or Rayleigh fading chann","authors_text":"Amaro Barreal, Camilla Hollanti, David Karpuk","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-25T13:06:52Z","title":"Node Repair for Distributed Storage Systems over Fading Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7247","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":"sha256:7fc7121de13ecc0523f7c7e0f5b6345547f92ab8e95a1a408e1d9677576956b1","target":"record","created_at":"2026-05-18T02:41:58Z","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":"dde879ea391452c0ae55e3c353598ec630b2742acdce7d4ae353cc426f92ae75","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-25T13:06:52Z","title_canon_sha256":"49dfad20c4ff59c61fa3231973bc4514fa0182d201245a26da7bd2025a5938ab"},"schema_version":"1.0","source":{"id":"1409.7247","kind":"arxiv","version":1}},"canonical_sha256":"538beb2fa2ffc3bf3d6784154e9f1f0fd5fac1b7b2b5891fe5273ff850add00d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538beb2fa2ffc3bf3d6784154e9f1f0fd5fac1b7b2b5891fe5273ff850add00d","first_computed_at":"2026-05-18T02:41:58.826892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:58.826892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eVv/K4zg2gKu6OMlI7WPBOSx5emjoe3B60t/mBb17dyTlSQqpBb2tNiWks9WP52sAXjc+NVWCIP5V6FJ3GL5Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:58.827337Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.7247","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fc7121de13ecc0523f7c7e0f5b6345547f92ab8e95a1a408e1d9677576956b1","sha256:128f93fa50b10b01973f828de50ed8f37fe00d23c14752b9e402a4605d6f2437"],"state_sha256":"e848de4637bcbdd1b026e6558fd6e30c0a89b0d9ed37e9d7e7e0f506e54a162c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y2NJBhNf4qUqGitqmA5cCwodGhwzJV+vqhubPYJ31NhY2QAOS6xpg74SVBTVP1Ea5HvIJAtJ13D9a2T1OIw5BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T17:00:50.459879Z","bundle_sha256":"12071e1da246f02437c09c9730cda556deda8048678d40adcec95114c9701ad2"}}