{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:O6XZACOAA2IDJKLTF27EO7DPRO","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":"968d93e8201440496e92df874603054c26c5e146a789023962918a5cba8e7440","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-08T06:13:25Z","title_canon_sha256":"0080419179ed89f3c6ed7694fc5fe2b9d076ca74662b3701a0456dc8135f706c"},"schema_version":"1.0","source":{"id":"1604.02234","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02234","created_at":"2026-05-18T00:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02234v2","created_at":"2026-05-18T00:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02234","created_at":"2026-05-18T00:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"O6XZACOAA2ID","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"O6XZACOAA2IDJKLT","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"O6XZACOA","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:9efd91a1e37e5805f80dc4b8cdef47792a34b3f90a8c89a28dd84e1b7b49d6f2","target":"graph","created_at":"2026-05-18T00:06:43Z","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":"Approximate capacity regions are established for a class of interfering multiple access channels consisting of two multiple-access channels (MACs), each with an arbitrary number of transmitters, with one transmitter in each MAC causing interference to the receiver of the other MAC, a channel we refer to henceforth as the MAC-IC-MAC. For the discrete memoryless (DM) MAC-IC-MAC, two inner bounds are obtained that are generalizations of prior inner bounds for the two-user DM interference channel (IC) due to Chong {\\em et al}. For the semi-deterministic MAC-IC-MAC, it is shown that single-user cod","authors_text":"Mahesh K. Varanasi, Yimin Pang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-08T06:13:25Z","title":"A Unified Theory of Multiple-Access and Interference Channels via Approximate Capacity Regions for the MAC-IC-MAC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02234","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":"sha256:4bc2308c6ec078d66b38f0d68afd4ff5919c474255fd0eaadc3bf245a5fe2c0a","target":"record","created_at":"2026-05-18T00:06:43Z","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":"968d93e8201440496e92df874603054c26c5e146a789023962918a5cba8e7440","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-08T06:13:25Z","title_canon_sha256":"0080419179ed89f3c6ed7694fc5fe2b9d076ca74662b3701a0456dc8135f706c"},"schema_version":"1.0","source":{"id":"1604.02234","kind":"arxiv","version":2}},"canonical_sha256":"77af9009c0069034a9732ebe477c6f8ba4272e9c9cf8dda41bfdcffd067d6c03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77af9009c0069034a9732ebe477c6f8ba4272e9c9cf8dda41bfdcffd067d6c03","first_computed_at":"2026-05-18T00:06:43.937571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:43.937571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xCopGLKtyHwuUG647GWcobpVLVyvX1QD0Cb+Q83xPBqmAW/c3xel224kXul/mzAWxJ1TbVq/49yESlI/5fWSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:43.938015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02234","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bc2308c6ec078d66b38f0d68afd4ff5919c474255fd0eaadc3bf245a5fe2c0a","sha256:9efd91a1e37e5805f80dc4b8cdef47792a34b3f90a8c89a28dd84e1b7b49d6f2"],"state_sha256":"656d3963b741df515a670da74a59944c8549853d9e0e6465a516cb68354936d9"}