{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MXQBVCBXTESYDMI6SHNXHDFBGA","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":"1313005334e13da97f5f797e7c15c21de4dbc724e3baec5eb22083bd5de9f7e5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T05:59:54Z","title_canon_sha256":"5715239b4c8e683a19e6876fe6208e799c9d4494d6f36d614d16645923a24912"},"schema_version":"1.0","source":{"id":"1102.3500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.3500","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"arxiv_version","alias_value":"1102.3500v1","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3500","created_at":"2026-05-18T04:28:28Z"},{"alias_kind":"pith_short_12","alias_value":"MXQBVCBXTESY","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MXQBVCBXTESYDMI6","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MXQBVCBX","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:a11e8d7ba9dd0e77aa9c281a8bf3aa43baad0073355f4702df1da28d223573cc","target":"graph","created_at":"2026-05-18T04:28:28Z","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 simple four node network in which cooperation improves the information-theoretic secrecy is studied. The channel consists of two senders, a receiver, and an eavesdropper. One or both senders transmit confidential messages to the receiver, while the eavesdropper tries to decode the transmitted message. The main result is the derivation of a newly achievable rate-equivocation region that is shown to be larger than a rate-equivocation region derived by Lai and El Gamal for the relay-eavesdropper channel. When the rate of the helping interferer is zero, the new rate-equivocation region reduces t","authors_text":"Hideki Yagi, H. Vincent Poor, Ninoslav Marina","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T05:59:54Z","title":"Improved Rate-Equivocation Regions for Secure Cooperative Communication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3500","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":"sha256:3839f83fa8108ad3f7a3bef8c1dd0e58accd6cc8912ff2fbf74104148bbc8623","target":"record","created_at":"2026-05-18T04:28:28Z","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":"1313005334e13da97f5f797e7c15c21de4dbc724e3baec5eb22083bd5de9f7e5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-17T05:59:54Z","title_canon_sha256":"5715239b4c8e683a19e6876fe6208e799c9d4494d6f36d614d16645923a24912"},"schema_version":"1.0","source":{"id":"1102.3500","kind":"arxiv","version":1}},"canonical_sha256":"65e01a8837992581b11e91db738ca130054f5ce0c1bed999dadc99a9ba958df5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65e01a8837992581b11e91db738ca130054f5ce0c1bed999dadc99a9ba958df5","first_computed_at":"2026-05-18T04:28:28.937996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:28.937996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q0TYOIbpHf93798OwD7fgnfZoM54l13lHNGoRt+PmQFJ7pnNVhcD7KUO+x3oixfUlhaU/uubahw/XbY2dSlmCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:28.938346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.3500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3839f83fa8108ad3f7a3bef8c1dd0e58accd6cc8912ff2fbf74104148bbc8623","sha256:a11e8d7ba9dd0e77aa9c281a8bf3aa43baad0073355f4702df1da28d223573cc"],"state_sha256":"218f45ac776058c8d9634137a3f7ddccb28fe7c8bdd97682fd975f754aeb9990"}