{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OA4NO3ZZNSR3SKUNC4CQEYVOYE","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":"50292989a7c0967167436ff7540900b692f11752fd92eda538ea1ae41633e7bb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-06T16:39:45Z","title_canon_sha256":"7bcb87d337acf8aebffef0244bb5256f37cdecd549cdea36d5e8aea0541c59f3"},"schema_version":"1.0","source":{"id":"1102.1165","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1165","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1165v1","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1165","created_at":"2026-05-18T04:29:54Z"},{"alias_kind":"pith_short_12","alias_value":"OA4NO3ZZNSR3","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OA4NO3ZZNSR3SKUN","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OA4NO3ZZ","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:b458af1e8ad35517295885ddd0ea85c4c004a02994ff3236ccda0e0a6b1c4846","target":"graph","created_at":"2026-05-18T04:29:54Z","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":"In this paper, a two-user discrete memoryless multiple-access channel (DM-MAC) with correlated channel states, each known at one of the encoders is considered, in which each encoder transmits independent messages and tries to cooperate with the other one. To consider cooperating encoders, it is assumed that each encoder strictly-causally receives and learns the other encoder's transmitted symbols and tries to cooperate with the other encoder by transmitting its message. Next, we study this channel in a special case; we assume that the common part of both states is known at both, hence encoders","authors_text":"Farhad Shirani Chaharsooghi, Mahdi Zamanighomi, Mohammad Javad Emadi, Mohammad Reza Aref","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-06T16:39:45Z","title":"Achievable Rate Region for Multiple Access Channel with Correlated Channel States and Cooperating Encoders"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1165","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":"sha256:0d29c96968826fb152a41d79950e997adf21905172405467c09e90eed9e5a112","target":"record","created_at":"2026-05-18T04:29:54Z","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":"50292989a7c0967167436ff7540900b692f11752fd92eda538ea1ae41633e7bb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-06T16:39:45Z","title_canon_sha256":"7bcb87d337acf8aebffef0244bb5256f37cdecd549cdea36d5e8aea0541c59f3"},"schema_version":"1.0","source":{"id":"1102.1165","kind":"arxiv","version":1}},"canonical_sha256":"7038d76f396ca3b92a8d17050262aec12e513d1079fe1f312acd40d7806de0f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7038d76f396ca3b92a8d17050262aec12e513d1079fe1f312acd40d7806de0f7","first_computed_at":"2026-05-18T04:29:54.873089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:29:54.873089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DJwLliOsI+mBNkLyBMNDSKLjoylulFZsztQgESL+aJMWUQ1DgM2wc9vxlKWGU8qkJOl3bkYKGiaP5+MhpxrjBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:29:54.873635Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1165","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d29c96968826fb152a41d79950e997adf21905172405467c09e90eed9e5a112","sha256:b458af1e8ad35517295885ddd0ea85c4c004a02994ff3236ccda0e0a6b1c4846"],"state_sha256":"2b276783f2ccc242108f13bf453cf48da393be196b98937ed4c9ac0b553f5ce2"}