{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QMBLEMPAH5SGYI3G3QHFCVXC6Z","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":"805cd12e7610069fc1bb6cfadb380f8cd1e4a6843007db3316de0c2077f02731","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-04-30T16:51:55Z","title_canon_sha256":"f03a9e8cb46bc4ef35a906f0dee75d38ca9a6b70f7f6c5059ec018df21cbb4a1"},"schema_version":"1.0","source":{"id":"0804.4866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.4866","created_at":"2026-05-18T00:59:11Z"},{"alias_kind":"arxiv_version","alias_value":"0804.4866v1","created_at":"2026-05-18T00:59:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.4866","created_at":"2026-05-18T00:59:11Z"},{"alias_kind":"pith_short_12","alias_value":"QMBLEMPAH5SG","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"QMBLEMPAH5SGYI3G","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"QMBLEMPA","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:014d0397fbf1679bb92bc9cadd9bb2346f0293ccfea4114aff67506f74c1d75a","target":"graph","created_at":"2026-05-18T00:59:11Z","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 problem of resource allocation is studied for two-sender two-receiver fading Gaussian interference channels (IFCs) and compound multiaccess channels (C-MACs). The senders in an IFC communicate with their own receiver (unicast) while those in a C-MAC communicate with both receivers (multicast). The instantaneous fading state between every transmit-receive pair in this network is assumed to be known at all transmitters and receivers. Under an average power constraint at each source, the sum-capacity of the C-MAC and the power policy that achieves this capacity is developed. The conditions de","authors_text":"Elza Erkip, H. Vincent Poor, Lalitha Sankar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-04-30T16:51:55Z","title":"Sum-Capacity of Ergodic Fading Interference and Compound Multiaccess Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.4866","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:b3007453081fe38175b4b8eb7e6f2989814a5926f53645c9dec37eefbae605cf","target":"record","created_at":"2026-05-18T00:59:11Z","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":"805cd12e7610069fc1bb6cfadb380f8cd1e4a6843007db3316de0c2077f02731","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-04-30T16:51:55Z","title_canon_sha256":"f03a9e8cb46bc4ef35a906f0dee75d38ca9a6b70f7f6c5059ec018df21cbb4a1"},"schema_version":"1.0","source":{"id":"0804.4866","kind":"arxiv","version":1}},"canonical_sha256":"8302b231e03f646c2366dc0e5156e2f66567bbaa755d2192ed3d07f0a912c635","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8302b231e03f646c2366dc0e5156e2f66567bbaa755d2192ed3d07f0a912c635","first_computed_at":"2026-05-18T00:59:11.813127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:11.813127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VBgVfTtqcrZAK6Q59I1AjcSpO5iz3uU8od/dfB0vNGyzOachb5k+Nb+HRF2+jOAUlhI51qsGw1NHv/78nS0zBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:11.813691Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.4866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3007453081fe38175b4b8eb7e6f2989814a5926f53645c9dec37eefbae605cf","sha256:014d0397fbf1679bb92bc9cadd9bb2346f0293ccfea4114aff67506f74c1d75a"],"state_sha256":"9566f9538751324371ae7468a42e102efb99855f2b4ce342a6adb91dec7b3a9a"}