{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:T22RAX3G43WMSPTWQU33L7YLUN","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":"7829bc2cf50c30bf364fe9be82af8cd9cf0712eeb085a7e7ddfcac0f06e998d6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-01T01:00:51Z","title_canon_sha256":"4cfc2b59ffb2e5a273e4b7ff1a16614547d1c457cef7fe905173f39da8eec879"},"schema_version":"1.0","source":{"id":"1607.00089","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00089","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00089v2","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00089","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"T22RAX3G43WM","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"T22RAX3G43WMSPTW","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"T22RAX3G","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:ed0773532dfcf400b29d52021b4885ff1023ecddd0c6dd8bc06130efff85a435","target":"graph","created_at":"2026-05-18T01:11:22Z","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":"Algebraic Manipulation Detection (AMD) Codes detect adversarial noise that is added to a coded message and stored in a storage that is opaque to the adversary. We study AMD codes when the storage can leak up to \\rho\\log|G| bits of information about the stored codeword, where G is the group in which the stored codeword lives and \\rho is a constant. We propose \\rho-AMD codes that provide protection in this new setting, and define weak and strong \\rho-AMD codes that provide security for a random and an arbitrary message, respectively. We derive concrete and asymptotic bounds for the efficiency of","authors_text":"Fuchun Lin, Pengwei Wang, Reihaneh Safavi-Naini","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-01T01:00:51Z","title":"Detecting Algebraic Manipulation in Leaky Storage Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00089","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":"sha256:34f3b99a7c0e04db994a6eb795ffe99adf81764d2cd949df2520c5646606b7ad","target":"record","created_at":"2026-05-18T01:11:22Z","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":"7829bc2cf50c30bf364fe9be82af8cd9cf0712eeb085a7e7ddfcac0f06e998d6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-01T01:00:51Z","title_canon_sha256":"4cfc2b59ffb2e5a273e4b7ff1a16614547d1c457cef7fe905173f39da8eec879"},"schema_version":"1.0","source":{"id":"1607.00089","kind":"arxiv","version":2}},"canonical_sha256":"9eb5105f66e6ecc93e768537b5ff0ba368d66c870609b93d145bbd41844e36a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9eb5105f66e6ecc93e768537b5ff0ba368d66c870609b93d145bbd41844e36a0","first_computed_at":"2026-05-18T01:11:22.349120Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:22.349120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yJ0RJcgSgjtGgFJWQI0WQIyWkTxwLWP+7v1oQkI8CJoy5c1h8q96hvs7fBRAkC+JZYhk0liYS3r+KsSAJqQkDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:22.349693Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00089","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34f3b99a7c0e04db994a6eb795ffe99adf81764d2cd949df2520c5646606b7ad","sha256:ed0773532dfcf400b29d52021b4885ff1023ecddd0c6dd8bc06130efff85a435"],"state_sha256":"4585c73f175e6198c5c4ff88b6be01bc5b939ffd33ee3def2e66773ab9f2574e"}