{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FDWIMBIJQYWR3KMRXCZRZX752Z","short_pith_number":"pith:FDWIMBIJ","canonical_record":{"source":{"id":"1408.0377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-02T14:46:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bdabfe131f65477a9c1c4e02ec21d738d7796bd8eaa771ef94488c5149e840dc","abstract_canon_sha256":"d9ab2a00c5181b0405a312cbb9853bcb79c126a34e69ee10b7146d2d56c2468d"},"schema_version":"1.0"},"canonical_sha256":"28ec860509862d1da991b8b31cdffdd64eb92ee72d1cee91916d0590d3dca421","source":{"kind":"arxiv","id":"1408.0377","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0377","created_at":"2026-05-18T00:38:44Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0377v1","created_at":"2026-05-18T00:38:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0377","created_at":"2026-05-18T00:38:44Z"},{"alias_kind":"pith_short_12","alias_value":"FDWIMBIJQYWR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FDWIMBIJQYWR3KMR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FDWIMBIJ","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FDWIMBIJQYWR3KMRXCZRZX752Z","target":"record","payload":{"canonical_record":{"source":{"id":"1408.0377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-02T14:46:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bdabfe131f65477a9c1c4e02ec21d738d7796bd8eaa771ef94488c5149e840dc","abstract_canon_sha256":"d9ab2a00c5181b0405a312cbb9853bcb79c126a34e69ee10b7146d2d56c2468d"},"schema_version":"1.0"},"canonical_sha256":"28ec860509862d1da991b8b31cdffdd64eb92ee72d1cee91916d0590d3dca421","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:44.294848Z","signature_b64":"5FufDUtqNodr6Ib9q2hmH9EnQNCPMvJxzwRuI2gA6PrgrT0M0CXodtaA8bTmShVB5i0uCX/rvgfk4HOd+6qIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28ec860509862d1da991b8b31cdffdd64eb92ee72d1cee91916d0590d3dca421","last_reissued_at":"2026-05-18T00:38:44.294400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:44.294400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.0377","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":"2026-05-18T00:38:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HL+aZYyfItuRlKKhdbdpVORCOAbPQDFeJtGp8Hf8CQvyR+nEjIuEriSFNlGVhc5AmK4sW6F02yVxjCcMVBeDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:16:08.264844Z"},"content_sha256":"a7f2e9e1a5a3b385172c43d43bf5b44eb7959d0118862c13155497d4f824bf1b","schema_version":"1.0","event_id":"sha256:a7f2e9e1a5a3b385172c43d43bf5b44eb7959d0118862c13155497d4f824bf1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FDWIMBIJQYWR3KMRXCZRZX752Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Layered, Exact-Repair Regenerating Codes Via Embedded Error Correction and Block Designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Birenjith Sasidharan, Chao Tian, P. Vijay Kumar, Vaneet Aggarwal, Vinay A. Vaishampayan","submitted_at":"2014-08-02T14:46:04Z","abstract_excerpt":"A new class of exact-repair regenerating codes is constructed by stitching together shorter erasure correction codes, where the stitching pattern can be viewed as block designs. The proposed codes have the \"help-by-transfer\" property where the helper nodes simply transfer part of the stored data directly, without performing any computation. This embedded error correction structure makes the decoding process straightforward, and in some cases the complexity is very low. We show that this construction is able to achieve performance better than space-sharing between the minimum storage regenerati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0377","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":"2026-05-18T00:38:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EWQrBi5Z39IvBVV8UsPxrrkqUn1dGeVjhQ0xzNLfNRLpmk1326ML/c/Jnpkam++qdd5x4beVQM4kUcdeG0ayAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:16:08.265197Z"},"content_sha256":"34e4cf34951425c3dd24b2de16094dfc77c9935cedf1f45d7e4ece99503bffbe","schema_version":"1.0","event_id":"sha256:34e4cf34951425c3dd24b2de16094dfc77c9935cedf1f45d7e4ece99503bffbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FDWIMBIJQYWR3KMRXCZRZX752Z/bundle.json","state_url":"https://pith.science/pith/FDWIMBIJQYWR3KMRXCZRZX752Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FDWIMBIJQYWR3KMRXCZRZX752Z/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":"2026-06-20T23:16:08Z","links":{"resolver":"https://pith.science/pith/FDWIMBIJQYWR3KMRXCZRZX752Z","bundle":"https://pith.science/pith/FDWIMBIJQYWR3KMRXCZRZX752Z/bundle.json","state":"https://pith.science/pith/FDWIMBIJQYWR3KMRXCZRZX752Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FDWIMBIJQYWR3KMRXCZRZX752Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FDWIMBIJQYWR3KMRXCZRZX752Z","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":"d9ab2a00c5181b0405a312cbb9853bcb79c126a34e69ee10b7146d2d56c2468d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-02T14:46:04Z","title_canon_sha256":"bdabfe131f65477a9c1c4e02ec21d738d7796bd8eaa771ef94488c5149e840dc"},"schema_version":"1.0","source":{"id":"1408.0377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0377","created_at":"2026-05-18T00:38:44Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0377v1","created_at":"2026-05-18T00:38:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0377","created_at":"2026-05-18T00:38:44Z"},{"alias_kind":"pith_short_12","alias_value":"FDWIMBIJQYWR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FDWIMBIJQYWR3KMR","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FDWIMBIJ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:34e4cf34951425c3dd24b2de16094dfc77c9935cedf1f45d7e4ece99503bffbe","target":"graph","created_at":"2026-05-18T00:38:44Z","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":"A new class of exact-repair regenerating codes is constructed by stitching together shorter erasure correction codes, where the stitching pattern can be viewed as block designs. The proposed codes have the \"help-by-transfer\" property where the helper nodes simply transfer part of the stored data directly, without performing any computation. This embedded error correction structure makes the decoding process straightforward, and in some cases the complexity is very low. We show that this construction is able to achieve performance better than space-sharing between the minimum storage regenerati","authors_text":"Birenjith Sasidharan, Chao Tian, P. Vijay Kumar, Vaneet Aggarwal, Vinay A. Vaishampayan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-02T14:46:04Z","title":"Layered, Exact-Repair Regenerating Codes Via Embedded Error Correction and Block Designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0377","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:a7f2e9e1a5a3b385172c43d43bf5b44eb7959d0118862c13155497d4f824bf1b","target":"record","created_at":"2026-05-18T00:38:44Z","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":"d9ab2a00c5181b0405a312cbb9853bcb79c126a34e69ee10b7146d2d56c2468d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-08-02T14:46:04Z","title_canon_sha256":"bdabfe131f65477a9c1c4e02ec21d738d7796bd8eaa771ef94488c5149e840dc"},"schema_version":"1.0","source":{"id":"1408.0377","kind":"arxiv","version":1}},"canonical_sha256":"28ec860509862d1da991b8b31cdffdd64eb92ee72d1cee91916d0590d3dca421","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28ec860509862d1da991b8b31cdffdd64eb92ee72d1cee91916d0590d3dca421","first_computed_at":"2026-05-18T00:38:44.294400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:44.294400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5FufDUtqNodr6Ib9q2hmH9EnQNCPMvJxzwRuI2gA6PrgrT0M0CXodtaA8bTmShVB5i0uCX/rvgfk4HOd+6qIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:44.294848Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.0377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7f2e9e1a5a3b385172c43d43bf5b44eb7959d0118862c13155497d4f824bf1b","sha256:34e4cf34951425c3dd24b2de16094dfc77c9935cedf1f45d7e4ece99503bffbe"],"state_sha256":"20d9c03ce6b13a5db80fb93073ce30dc005d1c710fc3a1890b1801b29c1f6efa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s45ZWnlAh1hTg9OuDSkynMKJ0JEnLrBvFkoYimeXtVlbRX6NeC0zVqvZx7EI9NACy2igIZx7VzhICM+qbYwTCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:16:08.267226Z","bundle_sha256":"3c13bae839cf8c882b68afc3bf2a1219be07c76b122a74ceec0b0bf63cc2586d"}}