{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:B3FAHTEUDIMXCTMWISZVFQV5B3","short_pith_number":"pith:B3FAHTEU","canonical_record":{"source":{"id":"1512.01516","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-04T19:15:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4f5dc685372bb80133264a07596b244fa0eda94104e0bc72861d85f67a4da5d3","abstract_canon_sha256":"a943f40c93e1c0d3f416c96e1beb83232cb5e6f07faef3e0a90f5eef91a2f155"},"schema_version":"1.0"},"canonical_sha256":"0eca03cc941a19714d9644b352c2bd0ed6261fe82c69c26b81ff8e5f02db0d40","source":{"kind":"arxiv","id":"1512.01516","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01516","created_at":"2026-05-18T00:57:50Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01516v1","created_at":"2026-05-18T00:57:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01516","created_at":"2026-05-18T00:57:50Z"},{"alias_kind":"pith_short_12","alias_value":"B3FAHTEUDIMX","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B3FAHTEUDIMXCTMW","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B3FAHTEU","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:B3FAHTEUDIMXCTMWISZVFQV5B3","target":"record","payload":{"canonical_record":{"source":{"id":"1512.01516","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-04T19:15:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4f5dc685372bb80133264a07596b244fa0eda94104e0bc72861d85f67a4da5d3","abstract_canon_sha256":"a943f40c93e1c0d3f416c96e1beb83232cb5e6f07faef3e0a90f5eef91a2f155"},"schema_version":"1.0"},"canonical_sha256":"0eca03cc941a19714d9644b352c2bd0ed6261fe82c69c26b81ff8e5f02db0d40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:50.156656Z","signature_b64":"ohz6hZFGJ76+E9WTVDtt8RRzmqfnbZY3KBeHujOv6+l7ltayW4y+Aq+Puwcm2B3tEwO2iRfrm9zWGYBIVQTuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0eca03cc941a19714d9644b352c2bd0ed6261fe82c69c26b81ff8e5f02db0d40","last_reissued_at":"2026-05-18T00:57:50.156106Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:50.156106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.01516","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GT6XIHdvW7Y5h3JKJEWwYhjrjR0/53izuLDDjjSEsMsYlG2RN/7mK45API3wCTVvSnGn7bL2vab9nVssmqkJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T00:22:41.732308Z"},"content_sha256":"146fab8495af6e7e959f7be8cf227a2d6dd334c5f4554fa46a700cda6dcb63f4","schema_version":"1.0","event_id":"sha256:146fab8495af6e7e959f7be8cf227a2d6dd334c5f4554fa46a700cda6dcb63f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:B3FAHTEUDIMXCTMWISZVFQV5B3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential Amplify-and-Forward Relaying Using Linear Combining in Time-Varying Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dac-Binh Ha, Ha H. Nguyen, M. R. Avendi","submitted_at":"2015-12-04T19:15:04Z","abstract_excerpt":"Differential encoding and decoding can be employed to circumvent channel estimation in wireless relay networks. This article studies differential amplify-and-forward relaying using linear combining with arbitrary fixed combining weights in time-varying channels. An exact bit error rate (BER) analysis is obtained for this system using DBPSK modulation and over time-varying Rayleigh fading channels. The analysis is verified with simulation results for several sets of combining weights and in various fading scenarios."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01516","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOD09MdU5a9selXgTcTOTzEFYL+F57Xn32YvJ3FqxtgUvfS7ty5s9FJabopwaj2+oo/UUWauAtM2g/HcFmTuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T00:22:41.732671Z"},"content_sha256":"5ca6cde9ef46af56d17fb6be23be062c375d1f5692b706b77b637566d72b8675","schema_version":"1.0","event_id":"sha256:5ca6cde9ef46af56d17fb6be23be062c375d1f5692b706b77b637566d72b8675"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3FAHTEUDIMXCTMWISZVFQV5B3/bundle.json","state_url":"https://pith.science/pith/B3FAHTEUDIMXCTMWISZVFQV5B3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3FAHTEUDIMXCTMWISZVFQV5B3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T00:22:41Z","links":{"resolver":"https://pith.science/pith/B3FAHTEUDIMXCTMWISZVFQV5B3","bundle":"https://pith.science/pith/B3FAHTEUDIMXCTMWISZVFQV5B3/bundle.json","state":"https://pith.science/pith/B3FAHTEUDIMXCTMWISZVFQV5B3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3FAHTEUDIMXCTMWISZVFQV5B3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B3FAHTEUDIMXCTMWISZVFQV5B3","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":"a943f40c93e1c0d3f416c96e1beb83232cb5e6f07faef3e0a90f5eef91a2f155","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-04T19:15:04Z","title_canon_sha256":"4f5dc685372bb80133264a07596b244fa0eda94104e0bc72861d85f67a4da5d3"},"schema_version":"1.0","source":{"id":"1512.01516","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01516","created_at":"2026-05-18T00:57:50Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01516v1","created_at":"2026-05-18T00:57:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01516","created_at":"2026-05-18T00:57:50Z"},{"alias_kind":"pith_short_12","alias_value":"B3FAHTEUDIMX","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B3FAHTEUDIMXCTMW","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B3FAHTEU","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:5ca6cde9ef46af56d17fb6be23be062c375d1f5692b706b77b637566d72b8675","target":"graph","created_at":"2026-05-18T00:57:50Z","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":"Differential encoding and decoding can be employed to circumvent channel estimation in wireless relay networks. This article studies differential amplify-and-forward relaying using linear combining with arbitrary fixed combining weights in time-varying channels. An exact bit error rate (BER) analysis is obtained for this system using DBPSK modulation and over time-varying Rayleigh fading channels. The analysis is verified with simulation results for several sets of combining weights and in various fading scenarios.","authors_text":"Dac-Binh Ha, Ha H. Nguyen, M. R. Avendi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-04T19:15:04Z","title":"Differential Amplify-and-Forward Relaying Using Linear Combining in Time-Varying Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01516","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":"sha256:146fab8495af6e7e959f7be8cf227a2d6dd334c5f4554fa46a700cda6dcb63f4","target":"record","created_at":"2026-05-18T00:57:50Z","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":"a943f40c93e1c0d3f416c96e1beb83232cb5e6f07faef3e0a90f5eef91a2f155","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-04T19:15:04Z","title_canon_sha256":"4f5dc685372bb80133264a07596b244fa0eda94104e0bc72861d85f67a4da5d3"},"schema_version":"1.0","source":{"id":"1512.01516","kind":"arxiv","version":1}},"canonical_sha256":"0eca03cc941a19714d9644b352c2bd0ed6261fe82c69c26b81ff8e5f02db0d40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0eca03cc941a19714d9644b352c2bd0ed6261fe82c69c26b81ff8e5f02db0d40","first_computed_at":"2026-05-18T00:57:50.156106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:50.156106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ohz6hZFGJ76+E9WTVDtt8RRzmqfnbZY3KBeHujOv6+l7ltayW4y+Aq+Puwcm2B3tEwO2iRfrm9zWGYBIVQTuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:50.156656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01516","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:146fab8495af6e7e959f7be8cf227a2d6dd334c5f4554fa46a700cda6dcb63f4","sha256:5ca6cde9ef46af56d17fb6be23be062c375d1f5692b706b77b637566d72b8675"],"state_sha256":"d669c3608cbd3745fa67590f5ca49adcd6d2bd379bc1013b3fd84ed3a3887633"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LzoJCYwzRB+Ms8majwA7ktLNKkD0HOTJMwzWneRYBtUtUIck7nzdDrlQvatcx7RnZ8U1Y0t839Q21ctayktFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T00:22:41.734697Z","bundle_sha256":"c74778318b68a4662cbb5a088b970e25ef14603256beb4778de6a1ed56d2391a"}}