{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MM5UHC657HGAEVU2K67VH7RRKM","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":"79bff13b5d91b2309f4d196757d726f123ec131cc98a110eb6b47359f7f329b9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-28T16:47:39Z","title_canon_sha256":"8efd8bca65d3c877015926615ab183312dc9932439621f8e35dfb27bb65a5a8f"},"schema_version":"1.0","source":{"id":"1202.6278","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.6278","created_at":"2026-05-18T04:01:13Z"},{"alias_kind":"arxiv_version","alias_value":"1202.6278v1","created_at":"2026-05-18T04:01:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.6278","created_at":"2026-05-18T04:01:13Z"},{"alias_kind":"pith_short_12","alias_value":"MM5UHC657HGA","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MM5UHC657HGAEVU2","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MM5UHC65","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:077d4e91d775ecbf7e9fba6fc1a17edfa775902b22faa518b46bfa8aa3ae3ad1","target":"graph","created_at":"2026-05-18T04:01:13Z","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":"The degrees of freedom (DoF) number of the fully connected K-user Gaussian interference channel is known to be K/2. In [1], the DoF for the same channel model was studied while allowing each message to be available at its own transmitter as well as M-1 successive transmitters. In particular, it was shown that the DoF gain through cooperation does not scale with the number of users K for a fixed value of M, i.e., the per user DoF number is 1/2 . In this work, we relax the cooperation constraint such that each message can be assigned to M transmitters without imposing further constraints on thei","authors_text":"Aly El Gamal, Venugopal V. Veeravalli, V. Sreekanth Annapureddy","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-28T16:47:39Z","title":"On Optimal Message Assignments for Interference Channels with CoMP Transmission"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.6278","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:c99565f9bac7ed1d47b7bc6b7ab3f1e51083417f6c361d0ae845b895089a37f5","target":"record","created_at":"2026-05-18T04:01:13Z","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":"79bff13b5d91b2309f4d196757d726f123ec131cc98a110eb6b47359f7f329b9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-02-28T16:47:39Z","title_canon_sha256":"8efd8bca65d3c877015926615ab183312dc9932439621f8e35dfb27bb65a5a8f"},"schema_version":"1.0","source":{"id":"1202.6278","kind":"arxiv","version":1}},"canonical_sha256":"633b438bddf9cc02569a57bf53fe31531b23e7f119bef3b445ca784cb889e41b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"633b438bddf9cc02569a57bf53fe31531b23e7f119bef3b445ca784cb889e41b","first_computed_at":"2026-05-18T04:01:13.788562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:13.788562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xbVOTR+qEGFgEfqw0sFtC0L0elKt+9bMbpDX7gl5RQAbTMu+Y89dvIWPyNCAJzcnq9tJWTOUTULxRgm37Ux9DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:13.789380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.6278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c99565f9bac7ed1d47b7bc6b7ab3f1e51083417f6c361d0ae845b895089a37f5","sha256:077d4e91d775ecbf7e9fba6fc1a17edfa775902b22faa518b46bfa8aa3ae3ad1"],"state_sha256":"822be3d15f827299364a2da1722003dbbf5ecfabc887a4b613ecd8b6fc5cf3bb"}