{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:RHJ4XDXKLZG4FWGLRSXEW25J2L","short_pith_number":"pith:RHJ4XDXK","canonical_record":{"source":{"id":"1210.5814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-22T06:27:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"259b4fe1a241d5c408e999d0e1225894402e6b086d76fd0148852879899798cb","abstract_canon_sha256":"7390cbf1def5a5a514618d2b71be6ab8b9afd928c13c2c4d897c871ded56ce43"},"schema_version":"1.0"},"canonical_sha256":"89d3cb8eea5e4dc2d8cb8cae4b6ba9d2d5de10bec24468764ecfb0583788489d","source":{"kind":"arxiv","id":"1210.5814","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5814","created_at":"2026-05-18T03:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5814v1","created_at":"2026-05-18T03:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5814","created_at":"2026-05-18T03:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"RHJ4XDXKLZG4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RHJ4XDXKLZG4FWGL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RHJ4XDXK","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:RHJ4XDXKLZG4FWGLRSXEW25J2L","target":"record","payload":{"canonical_record":{"source":{"id":"1210.5814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-22T06:27:35Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"259b4fe1a241d5c408e999d0e1225894402e6b086d76fd0148852879899798cb","abstract_canon_sha256":"7390cbf1def5a5a514618d2b71be6ab8b9afd928c13c2c4d897c871ded56ce43"},"schema_version":"1.0"},"canonical_sha256":"89d3cb8eea5e4dc2d8cb8cae4b6ba9d2d5de10bec24468764ecfb0583788489d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:35.056384Z","signature_b64":"DEYyJa6rxwd+aACg9P59YkspwG1a/OuH+AicWv4HOlKvGSh3aYTBx47QWUmSaCCIstMpOmh76aXe3/hiZPI+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89d3cb8eea5e4dc2d8cb8cae4b6ba9d2d5de10bec24468764ecfb0583788489d","last_reissued_at":"2026-05-18T03:42:35.055517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:35.055517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.5814","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":"2026-05-18T03:42:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bUlbysApu9W6s3SVb1tdoZGCjXHM73hZAQbAAASDB6xHkioaJP3pfxMLmmSHiyoTnNvODBFNF3AQ5uRoTvspAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:38:13.277470Z"},"content_sha256":"cdb57b64598dc326e383eb2d361cb8f945fa6a3a831965106d21f53ee3bd1212","schema_version":"1.0","event_id":"sha256:cdb57b64598dc326e383eb2d361cb8f945fa6a3a831965106d21f53ee3bd1212"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:RHJ4XDXKLZG4FWGLRSXEW25J2L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Beamforming for Wireless Information and Power Transmission","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Meixia Tao, Zhengzheng Xiang","submitted_at":"2012-10-22T06:27:35Z","abstract_excerpt":"In this letter, we study the robust beamforming problem for the multi-antenna wireless broadcasting system with simultaneous information and power transmission, under the assumption of imperfect channel state information (CSI) at the transmitter. Following the worst-case deterministic model, our objective is to maximize the worst-case harvested energy for the energy receiver while guaranteeing that the rate for the information receiver is above a threshold for all possible channel realizations. Such problem is nonconvex with infinite number of constraints. Using certain transformation techniqu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5814","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":"2026-05-18T03:42:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NUEL81NUwnIJbYWDlqFDBLLf2Ro+6NlEWS7GtKVqw3FW84DduaOYzS8Grg49yGaupOrWb3qEAD4GfCl6fN0oDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:38:13.278227Z"},"content_sha256":"74a1efd854a8e27d626cfb2a57e3e95bea30153716132bb9e315ef374023851f","schema_version":"1.0","event_id":"sha256:74a1efd854a8e27d626cfb2a57e3e95bea30153716132bb9e315ef374023851f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L/bundle.json","state_url":"https://pith.science/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L/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":"2026-05-25T19:38:13Z","links":{"resolver":"https://pith.science/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L","bundle":"https://pith.science/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L/bundle.json","state":"https://pith.science/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RHJ4XDXKLZG4FWGLRSXEW25J2L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RHJ4XDXKLZG4FWGLRSXEW25J2L","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":"7390cbf1def5a5a514618d2b71be6ab8b9afd928c13c2c4d897c871ded56ce43","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-22T06:27:35Z","title_canon_sha256":"259b4fe1a241d5c408e999d0e1225894402e6b086d76fd0148852879899798cb"},"schema_version":"1.0","source":{"id":"1210.5814","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5814","created_at":"2026-05-18T03:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5814v1","created_at":"2026-05-18T03:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5814","created_at":"2026-05-18T03:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"RHJ4XDXKLZG4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RHJ4XDXKLZG4FWGL","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RHJ4XDXK","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:74a1efd854a8e27d626cfb2a57e3e95bea30153716132bb9e315ef374023851f","target":"graph","created_at":"2026-05-18T03:42:35Z","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 letter, we study the robust beamforming problem for the multi-antenna wireless broadcasting system with simultaneous information and power transmission, under the assumption of imperfect channel state information (CSI) at the transmitter. Following the worst-case deterministic model, our objective is to maximize the worst-case harvested energy for the energy receiver while guaranteeing that the rate for the information receiver is above a threshold for all possible channel realizations. Such problem is nonconvex with infinite number of constraints. Using certain transformation techniqu","authors_text":"Meixia Tao, Zhengzheng Xiang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-22T06:27:35Z","title":"Robust Beamforming for Wireless Information and Power Transmission"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5814","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:cdb57b64598dc326e383eb2d361cb8f945fa6a3a831965106d21f53ee3bd1212","target":"record","created_at":"2026-05-18T03:42:35Z","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":"7390cbf1def5a5a514618d2b71be6ab8b9afd928c13c2c4d897c871ded56ce43","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-10-22T06:27:35Z","title_canon_sha256":"259b4fe1a241d5c408e999d0e1225894402e6b086d76fd0148852879899798cb"},"schema_version":"1.0","source":{"id":"1210.5814","kind":"arxiv","version":1}},"canonical_sha256":"89d3cb8eea5e4dc2d8cb8cae4b6ba9d2d5de10bec24468764ecfb0583788489d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89d3cb8eea5e4dc2d8cb8cae4b6ba9d2d5de10bec24468764ecfb0583788489d","first_computed_at":"2026-05-18T03:42:35.055517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:35.055517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DEYyJa6rxwd+aACg9P59YkspwG1a/OuH+AicWv4HOlKvGSh3aYTBx47QWUmSaCCIstMpOmh76aXe3/hiZPI+Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:35.056384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5814","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdb57b64598dc326e383eb2d361cb8f945fa6a3a831965106d21f53ee3bd1212","sha256:74a1efd854a8e27d626cfb2a57e3e95bea30153716132bb9e315ef374023851f"],"state_sha256":"126502c1a83e7dcece4f5abee84314f15440f3e32704af87f81171b2582a8b60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fTF9KW0gTszFOJzNokGPqSM7FaAUk3oNGbb3sdPcES1BqRucNyRamMtGB+5mtmbkjDzyRp8XPpZLj6aIC3NBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:38:13.282236Z","bundle_sha256":"c451028a6b92b88a1bbd981ce57a5033ee5f07e93c0e86d1314c91af917a5eaf"}}