{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:BAQFCH5HOL62V7S4D3VCHDOZYW","short_pith_number":"pith:BAQFCH5H","canonical_record":{"source":{"id":"1206.5525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-24T17:25:25Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"20c84780d85b175f44f2be05eaa8ed6ece5eca3d6363587e89ac4b846f4d5f2b","abstract_canon_sha256":"22065838ae8340b21e01f7d3b8bf6fa316cb8ccb8f4f97aa658643dd57ebe50c"},"schema_version":"1.0"},"canonical_sha256":"0820511fa772fdaafe5c1eea238dd9c5babeda3cf431c8cc5ce398370f7f3ac5","source":{"kind":"arxiv","id":"1206.5525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5525","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5525v1","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5525","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"BAQFCH5HOL62","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BAQFCH5HOL62V7S4","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BAQFCH5H","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:BAQFCH5HOL62V7S4D3VCHDOZYW","target":"record","payload":{"canonical_record":{"source":{"id":"1206.5525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-24T17:25:25Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"20c84780d85b175f44f2be05eaa8ed6ece5eca3d6363587e89ac4b846f4d5f2b","abstract_canon_sha256":"22065838ae8340b21e01f7d3b8bf6fa316cb8ccb8f4f97aa658643dd57ebe50c"},"schema_version":"1.0"},"canonical_sha256":"0820511fa772fdaafe5c1eea238dd9c5babeda3cf431c8cc5ce398370f7f3ac5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:39.806303Z","signature_b64":"hy1JOdU192EFfWKCWhC+ZCxC+HQqMzSBEYKwozqZO1mTbphE8lm3YgwQ4WdjTatJohTeNC+jn2eGaHD2vLLiAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0820511fa772fdaafe5c1eea238dd9c5babeda3cf431c8cc5ce398370f7f3ac5","last_reissued_at":"2026-05-18T03:52:39.805718Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:39.805718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.5525","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":"2026-05-18T03:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kOVr9mRbPQqXoLwnCAG0QkdU2IXMUsgaYtpJfUB8lWkZ9KnkW5kdRQDtu75crPQw1zApE/wahE5zAHQ7lHPoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:23:11.136648Z"},"content_sha256":"917dcb9431719e036acb9d7b5c327cc356033e327a1e86b73ee3303b54976974","schema_version":"1.0","event_id":"sha256:917dcb9431719e036acb9d7b5c327cc356033e327a1e86b73ee3303b54976974"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:BAQFCH5HOL62V7S4D3VCHDOZYW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of Coverage Region for MIMO Relay Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alireza Alizadeh, Ghosheh Abed Hodtani","submitted_at":"2012-06-24T17:25:25Z","abstract_excerpt":"In this paper we investigate the optimal relay location in the sense of maximizing suitably defined coverage region for MIMO relay channel. We consider the general Rayleigh fading case and assume that the channel state information is only available at the receivers (CSIR), which is an important practical case in applications such as cooperative vehicular communications. In order to overcome the mathematical difficulty regarding determination of the optimal relay location, we provide two analytical solutions, and show that it is possible to determine the optimal relay location (for a desired tr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5525","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":"2026-05-18T03:52:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nij9uaciKcpX4I8uwK/GFJalTHHEh9Yo2i/IWIk6X7WWkZ916ObXiHaioa+Z0ShnoqDzN6z67+TBn2/jK4xqAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:23:11.137392Z"},"content_sha256":"55c09d260d153c70cddd6011af6bfcc244009dd9568e031d02d7620414ce27c2","schema_version":"1.0","event_id":"sha256:55c09d260d153c70cddd6011af6bfcc244009dd9568e031d02d7620414ce27c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BAQFCH5HOL62V7S4D3VCHDOZYW/bundle.json","state_url":"https://pith.science/pith/BAQFCH5HOL62V7S4D3VCHDOZYW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BAQFCH5HOL62V7S4D3VCHDOZYW/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":"2026-05-25T15:23:11Z","links":{"resolver":"https://pith.science/pith/BAQFCH5HOL62V7S4D3VCHDOZYW","bundle":"https://pith.science/pith/BAQFCH5HOL62V7S4D3VCHDOZYW/bundle.json","state":"https://pith.science/pith/BAQFCH5HOL62V7S4D3VCHDOZYW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BAQFCH5HOL62V7S4D3VCHDOZYW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:BAQFCH5HOL62V7S4D3VCHDOZYW","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":"22065838ae8340b21e01f7d3b8bf6fa316cb8ccb8f4f97aa658643dd57ebe50c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-24T17:25:25Z","title_canon_sha256":"20c84780d85b175f44f2be05eaa8ed6ece5eca3d6363587e89ac4b846f4d5f2b"},"schema_version":"1.0","source":{"id":"1206.5525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5525","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5525v1","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5525","created_at":"2026-05-18T03:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"BAQFCH5HOL62","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"BAQFCH5HOL62V7S4","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"BAQFCH5H","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:55c09d260d153c70cddd6011af6bfcc244009dd9568e031d02d7620414ce27c2","target":"graph","created_at":"2026-05-18T03:52:39Z","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 investigate the optimal relay location in the sense of maximizing suitably defined coverage region for MIMO relay channel. We consider the general Rayleigh fading case and assume that the channel state information is only available at the receivers (CSIR), which is an important practical case in applications such as cooperative vehicular communications. In order to overcome the mathematical difficulty regarding determination of the optimal relay location, we provide two analytical solutions, and show that it is possible to determine the optimal relay location (for a desired tr","authors_text":"Alireza Alizadeh, Ghosheh Abed Hodtani","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-24T17:25:25Z","title":"Analysis of Coverage Region for MIMO Relay Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5525","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":"sha256:917dcb9431719e036acb9d7b5c327cc356033e327a1e86b73ee3303b54976974","target":"record","created_at":"2026-05-18T03:52:39Z","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":"22065838ae8340b21e01f7d3b8bf6fa316cb8ccb8f4f97aa658643dd57ebe50c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-06-24T17:25:25Z","title_canon_sha256":"20c84780d85b175f44f2be05eaa8ed6ece5eca3d6363587e89ac4b846f4d5f2b"},"schema_version":"1.0","source":{"id":"1206.5525","kind":"arxiv","version":1}},"canonical_sha256":"0820511fa772fdaafe5c1eea238dd9c5babeda3cf431c8cc5ce398370f7f3ac5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0820511fa772fdaafe5c1eea238dd9c5babeda3cf431c8cc5ce398370f7f3ac5","first_computed_at":"2026-05-18T03:52:39.805718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:39.805718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hy1JOdU192EFfWKCWhC+ZCxC+HQqMzSBEYKwozqZO1mTbphE8lm3YgwQ4WdjTatJohTeNC+jn2eGaHD2vLLiAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:39.806303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:917dcb9431719e036acb9d7b5c327cc356033e327a1e86b73ee3303b54976974","sha256:55c09d260d153c70cddd6011af6bfcc244009dd9568e031d02d7620414ce27c2"],"state_sha256":"f5da4c4ff335644d588fa0f2ed461f68a64fbc8c08c3ad019f0acca474ebb0c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8ShSEzTE3wuzBUQaRKVOTYrr0z8yMunOz9INX57vMHCiVroO536lz0eoyYis3HX79CyX+fvU0QwxykbmRNFBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:23:11.141179Z","bundle_sha256":"66f71388c01fb4f8360a9ea6245c2e100172a6f80a6158a020cb20dce8a904ed"}}