{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QHRGZOZXFSQYIEI6PV77KV6Z74","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":"c41fa8e69b06543978f43a814dd4e91b811334fd42418f7327170f2afa321fcf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-29T19:23:12Z","title_canon_sha256":"9efc6b623878219650bee11a0e1162f191e0749963a0b1c30f2ea137742ff8d6"},"schema_version":"1.0","source":{"id":"1511.09070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.09070","created_at":"2026-05-18T01:25:41Z"},{"alias_kind":"arxiv_version","alias_value":"1511.09070v1","created_at":"2026-05-18T01:25:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.09070","created_at":"2026-05-18T01:25:41Z"},{"alias_kind":"pith_short_12","alias_value":"QHRGZOZXFSQY","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QHRGZOZXFSQYIEI6","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QHRGZOZX","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:d2fd161c430be1fb7f3715fc876d07d2714337b59fa28c9818ba47e404ded994","target":"graph","created_at":"2026-05-18T01:25:41Z","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 studies the problem of secure communication over broadcast channels under the individual secrecy constraints. That is, the transmitter wants to send two independent messages to two legitimate receivers in the presence of an eavesdropper, while keeping the eavesdropper ignorant of each message (i.e., the information leakage from each message to the eavesdropper is made vanishing). Building upon Carleial-Hellman's secrecy coding, Wyner's secrecy coding, the frameworks of superposition coding and Marton's coding together with techniques such as rate splitting and indirect decoding, ach","authors_text":"Aydin Sezgin, O. Ozan Koyluoglu, Yanling Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-29T19:23:12Z","title":"Individual Secrecy for the Broadcast Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.09070","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:a9f16ecc085029800e95beee4eef32669dea475075ff33dfee76254a8deee400","target":"record","created_at":"2026-05-18T01:25:41Z","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":"c41fa8e69b06543978f43a814dd4e91b811334fd42418f7327170f2afa321fcf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-29T19:23:12Z","title_canon_sha256":"9efc6b623878219650bee11a0e1162f191e0749963a0b1c30f2ea137742ff8d6"},"schema_version":"1.0","source":{"id":"1511.09070","kind":"arxiv","version":1}},"canonical_sha256":"81e26cbb372ca184111e7d7ff557d9ff03ddab1a13d5828ba2cf254fdd96ce7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81e26cbb372ca184111e7d7ff557d9ff03ddab1a13d5828ba2cf254fdd96ce7b","first_computed_at":"2026-05-18T01:25:41.269789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:41.269789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B6FicprLfyrU/VQY9ZuLJ9pAwlR5Rk3vhFLZEMKxtqtXdWP/2TYqH1/FB89hmv4qKSzhguXxsoPnsxfWaSSSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:41.270484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.09070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9f16ecc085029800e95beee4eef32669dea475075ff33dfee76254a8deee400","sha256:d2fd161c430be1fb7f3715fc876d07d2714337b59fa28c9818ba47e404ded994"],"state_sha256":"9e3a47c3ee23e951f41aa539402e83e4971c5974fe705f24b9e973b1e015729c"}