{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZB6D6YCZGHUZHQGAIKJHD4F3IT","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":"43b225cf50ba086c30fcce748a6a32c9f489234f8835242dac6fac9da0f2f9bf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-30T08:10:38Z","title_canon_sha256":"c533868090390c7c9bb2b9e4345acc11905fdba3bf3a9025ca21442277725586"},"schema_version":"1.0","source":{"id":"1111.7076","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.7076","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1111.7076v1","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.7076","created_at":"2026-05-18T00:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"ZB6D6YCZGHUZ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZB6D6YCZGHUZHQGA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZB6D6YCZ","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:039bf2ee7f029954a9abed187b2e53e80b4c555ff5da84b860a938d8a815e20a","target":"graph","created_at":"2026-05-18T00:58:43Z","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":"In this paper, we propose a relay selection amplify-and-forward (RS-AF) protocol in general bi-directional relay networks with two sources and $N$ relays. In the proposed scheme, the two sources first transmit to all the relays simultaneously, and then a single relay with a minimum sum symbol error rate (SER) will be selected to broadcast the received signals back to both sources. To facilitate the selection process, we propose a simple sub-optimal Min-Max criterion for relay selection, where a single relay which minimizes the maximum SER of two source nodes will be selected. Simulation result","authors_text":"Lingyang Song","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-30T08:10:38Z","title":"Relay Selection for Two-way Relaying with Amplify-and-Forward Protocols"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.7076","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:d95a4cf4bdf01127ad7e98dba4dc8975299fca3280313269139a53185b0dfe5e","target":"record","created_at":"2026-05-18T00:58:43Z","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":"43b225cf50ba086c30fcce748a6a32c9f489234f8835242dac6fac9da0f2f9bf","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-30T08:10:38Z","title_canon_sha256":"c533868090390c7c9bb2b9e4345acc11905fdba3bf3a9025ca21442277725586"},"schema_version":"1.0","source":{"id":"1111.7076","kind":"arxiv","version":1}},"canonical_sha256":"c87c3f605931e993c0c0429271f0bb44c2cfa8c42885b483d6bdda844692a300","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c87c3f605931e993c0c0429271f0bb44c2cfa8c42885b483d6bdda844692a300","first_computed_at":"2026-05-18T00:58:43.265571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:43.265571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"29pCbEAba0qqqYWpGlxamHjYy8mOBepw6SZTPm4yCSw5JX366mMi2QgYaYHL23FH7ZYfKpZgXqeFlUwDefNKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:43.266266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.7076","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d95a4cf4bdf01127ad7e98dba4dc8975299fca3280313269139a53185b0dfe5e","sha256:039bf2ee7f029954a9abed187b2e53e80b4c555ff5da84b860a938d8a815e20a"],"state_sha256":"80e990b4af64e811544fdc34d0cf8c708d94171be3b6e188ec4c90ed63965945"}