{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MUEIMF4ZVFFN452WEEPWJP7ETL","short_pith_number":"pith:MUEIMF4Z","canonical_record":{"source":{"id":"1209.5212","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-24T10:02:01Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"de34396e68059eee5525d61e146c7033d836cdc2bb1c3515a25cd7d6cdcf3009","abstract_canon_sha256":"328f5f56262738f9446bac7cd0716915f8324a24751fb1ff751ac8696536487b"},"schema_version":"1.0"},"canonical_sha256":"6508861799a94ade7756211f64bfe49ae7bd91b27aeb84f9e075e5e481bfc826","source":{"kind":"arxiv","id":"1209.5212","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5212","created_at":"2026-05-18T03:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5212v1","created_at":"2026-05-18T03:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5212","created_at":"2026-05-18T03:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"MUEIMF4ZVFFN","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MUEIMF4ZVFFN452W","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MUEIMF4Z","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MUEIMF4ZVFFN452WEEPWJP7ETL","target":"record","payload":{"canonical_record":{"source":{"id":"1209.5212","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-24T10:02:01Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"de34396e68059eee5525d61e146c7033d836cdc2bb1c3515a25cd7d6cdcf3009","abstract_canon_sha256":"328f5f56262738f9446bac7cd0716915f8324a24751fb1ff751ac8696536487b"},"schema_version":"1.0"},"canonical_sha256":"6508861799a94ade7756211f64bfe49ae7bd91b27aeb84f9e075e5e481bfc826","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:58.863685Z","signature_b64":"LNAiCXXUCK0nFzSSZf6vmmPomkCUBHesXB6CcM94VAsGrdJ4wxbjoDngW10wvygCFLun6I8LSZCzCd3GiacPDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6508861799a94ade7756211f64bfe49ae7bd91b27aeb84f9e075e5e481bfc826","last_reissued_at":"2026-05-18T03:44:58.862900Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:58.862900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.5212","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":"2026-05-18T03:44:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qlJkl6IeT3m6dK+7iB5oxsaUjPrzzm0ddsniciD9Qi6CXFuIMDg/3T2oxmEdkhi8SCEeUiD+U5kvRoPFXx8pBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:29:57.996504Z"},"content_sha256":"5c60accf73d11650fdbc6f8758a72de241a0fe49fd5bd20079a73cebaf55c3e8","schema_version":"1.0","event_id":"sha256:5c60accf73d11650fdbc6f8758a72de241a0fe49fd5bd20079a73cebaf55c3e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MUEIMF4ZVFFN452WEEPWJP7ETL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Error Correction for Cooperative Data Exchange","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chau Yuen, Rongquan Feng, Tiffany Jing Li, Wentu Song, Xiumin Wang","submitted_at":"2012-09-24T10:02:01Z","abstract_excerpt":"This paper considers the problem of error correction for a cooperative data exchange (CDE) system, where some clients are compromised or failed and send false messages. Assuming each client possesses a subset of the total messages, we analyze the error correction capability when every client is allowed to broadcast only one linearly-coded message. Our error correction capability bound determines the maximum number of clients that can be compromised or failed without jeopardizing the final decoding solution at each client. We show that deterministic, feasible linear codes exist that can achieve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5212","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":"2026-05-18T03:44:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zmIs+SxPagyPfwht2d7s00OODe1lmcmrA7B/HsyUoY9iKC3MK3CwV4gJ7eoooC5vITULnM2AHsPAv2wYri3vBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:29:57.996855Z"},"content_sha256":"06a32f7c93c091fbfc81f3ff06a41d266b584f0d3d80a233ca4f4618ad578b8d","schema_version":"1.0","event_id":"sha256:06a32f7c93c091fbfc81f3ff06a41d266b584f0d3d80a233ca4f4618ad578b8d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUEIMF4ZVFFN452WEEPWJP7ETL/bundle.json","state_url":"https://pith.science/pith/MUEIMF4ZVFFN452WEEPWJP7ETL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUEIMF4ZVFFN452WEEPWJP7ETL/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":"2026-06-04T01:29:57Z","links":{"resolver":"https://pith.science/pith/MUEIMF4ZVFFN452WEEPWJP7ETL","bundle":"https://pith.science/pith/MUEIMF4ZVFFN452WEEPWJP7ETL/bundle.json","state":"https://pith.science/pith/MUEIMF4ZVFFN452WEEPWJP7ETL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUEIMF4ZVFFN452WEEPWJP7ETL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MUEIMF4ZVFFN452WEEPWJP7ETL","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":"328f5f56262738f9446bac7cd0716915f8324a24751fb1ff751ac8696536487b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-24T10:02:01Z","title_canon_sha256":"de34396e68059eee5525d61e146c7033d836cdc2bb1c3515a25cd7d6cdcf3009"},"schema_version":"1.0","source":{"id":"1209.5212","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5212","created_at":"2026-05-18T03:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5212v1","created_at":"2026-05-18T03:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5212","created_at":"2026-05-18T03:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"MUEIMF4ZVFFN","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MUEIMF4ZVFFN452W","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MUEIMF4Z","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:06a32f7c93c091fbfc81f3ff06a41d266b584f0d3d80a233ca4f4618ad578b8d","target":"graph","created_at":"2026-05-18T03:44:58Z","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":"This paper considers the problem of error correction for a cooperative data exchange (CDE) system, where some clients are compromised or failed and send false messages. Assuming each client possesses a subset of the total messages, we analyze the error correction capability when every client is allowed to broadcast only one linearly-coded message. Our error correction capability bound determines the maximum number of clients that can be compromised or failed without jeopardizing the final decoding solution at each client. We show that deterministic, feasible linear codes exist that can achieve","authors_text":"Chau Yuen, Rongquan Feng, Tiffany Jing Li, Wentu Song, Xiumin Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-24T10:02:01Z","title":"Error Correction for Cooperative Data Exchange"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5212","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":"sha256:5c60accf73d11650fdbc6f8758a72de241a0fe49fd5bd20079a73cebaf55c3e8","target":"record","created_at":"2026-05-18T03:44:58Z","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":"328f5f56262738f9446bac7cd0716915f8324a24751fb1ff751ac8696536487b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-09-24T10:02:01Z","title_canon_sha256":"de34396e68059eee5525d61e146c7033d836cdc2bb1c3515a25cd7d6cdcf3009"},"schema_version":"1.0","source":{"id":"1209.5212","kind":"arxiv","version":1}},"canonical_sha256":"6508861799a94ade7756211f64bfe49ae7bd91b27aeb84f9e075e5e481bfc826","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6508861799a94ade7756211f64bfe49ae7bd91b27aeb84f9e075e5e481bfc826","first_computed_at":"2026-05-18T03:44:58.862900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:58.862900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LNAiCXXUCK0nFzSSZf6vmmPomkCUBHesXB6CcM94VAsGrdJ4wxbjoDngW10wvygCFLun6I8LSZCzCd3GiacPDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:58.863685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5212","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c60accf73d11650fdbc6f8758a72de241a0fe49fd5bd20079a73cebaf55c3e8","sha256:06a32f7c93c091fbfc81f3ff06a41d266b584f0d3d80a233ca4f4618ad578b8d"],"state_sha256":"48c2c6bfb9856aa4069e8f3a1b017fe14a40b20f795714b63ea89c0de6935158"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M6JvGXg5U78Lwp3A4uq76pp6eJTTayut+drpfA1fkDHyQ0Otm5JvT4uDCqsqn4hCdw/5mDQoK7ZPzPnCEgqfDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:29:57.998976Z","bundle_sha256":"a9dda80253c1d1dcdd774b541b073ea63960c2ae652a9e49731b47f5aaa4c59f"}}