{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:X3HYRK2PAEKFCJ2LZUZNHXHBAE","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":"424d4986702abcbc1393290d0f9919ddb813b9fb9f635dbd2a462d00ab1f4ecb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-08T20:10:23Z","title_canon_sha256":"2c2e41eb137dcd2cc4419f3432cec9bc28683f528c4c0dae65edb9978de5f486"},"schema_version":"1.0","source":{"id":"1604.02468","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02468","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02468v1","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02468","created_at":"2026-05-18T01:17:22Z"},{"alias_kind":"pith_short_12","alias_value":"X3HYRK2PAEKF","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"X3HYRK2PAEKFCJ2L","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"X3HYRK2P","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:279360c4d443466b29a49b908f1d27bfa43698fbf2396c37189e853dd8f2e7ac","target":"graph","created_at":"2026-05-18T01:17:22Z","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":"This paper derives outer bounds on the secrecy capacity region of the 2-user Z interference channel (Z-IC) with rate-limited unidirectional cooperation between the transmitters. First, the model is studied under the linear deterministic setting. The derivation of the outer bounds on the secrecy capacity region involves careful selection of the side information to be provided to the receivers and using the secrecy constraints at the receivers in a judicious manner. To this end, a novel partitioning of the encoded messages and outputs is proposed for the deterministic model based on the strength","authors_text":"Chandra R. Murthy, Jemin Lee, Parthajit Mohapatra","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-08T20:10:23Z","title":"Outer Bounds on the Secrecy Capacity Region of the 2-user Z Interference Channel With Unidirectional Transmitter Cooperation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02468","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:b8680fa57c1ebb660d36b043b7c3a7950d8b667c536b87a1e2306e5f01e2a316","target":"record","created_at":"2026-05-18T01:17:22Z","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":"424d4986702abcbc1393290d0f9919ddb813b9fb9f635dbd2a462d00ab1f4ecb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-08T20:10:23Z","title_canon_sha256":"2c2e41eb137dcd2cc4419f3432cec9bc28683f528c4c0dae65edb9978de5f486"},"schema_version":"1.0","source":{"id":"1604.02468","kind":"arxiv","version":1}},"canonical_sha256":"becf88ab4f011451274bcd32d3dce101106a00c52e268139a47987cbea3f48c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"becf88ab4f011451274bcd32d3dce101106a00c52e268139a47987cbea3f48c7","first_computed_at":"2026-05-18T01:17:22.818168Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:22.818168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"568pGXfn9yZZC8jaCBpxVhkuBoh2/1wRDoBs33xEHsA0/QhYYKYI0HBp6jeucmZFTNtaFBaRLgAXcmJK5NnoDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:22.818565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02468","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8680fa57c1ebb660d36b043b7c3a7950d8b667c536b87a1e2306e5f01e2a316","sha256:279360c4d443466b29a49b908f1d27bfa43698fbf2396c37189e853dd8f2e7ac"],"state_sha256":"b735677aa4839108799cc01e383f1d4abb0a3cf0947da416c926e0174c0d3b39"}