{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PJRXVB2277MXIMFHFRDOJTNCYV","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":"c1bd74c362d4c69c5ac5677c5f6bb2806c6c8de7f86cd74bec5af3f39ce0883c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-24T01:36:45Z","title_canon_sha256":"b5090458ee77e19515118186e84d8664091fc0813d3ffee9f5b09edafc0ec722"},"schema_version":"1.0","source":{"id":"1511.07533","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.07533","created_at":"2026-05-18T01:26:04Z"},{"alias_kind":"arxiv_version","alias_value":"1511.07533v1","created_at":"2026-05-18T01:26:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07533","created_at":"2026-05-18T01:26:04Z"},{"alias_kind":"pith_short_12","alias_value":"PJRXVB2277MX","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PJRXVB2277MXIMFH","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PJRXVB22","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:e8ead2f41701aea37e5dafeeae40a9388b352f5b4901dffb7d78a2a366f15cae","target":"graph","created_at":"2026-05-18T01:26:04Z","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":"Energy beamforming (EB) is a key technique for achieving efficient radio-frequency (RF) transmission enabled wireless energy transfer (WET). By optimally designing the waveforms from multiple energy transmitters (ETs) over the wireless channels, they are constructively combined at the energy receiver (ER) to achieve an EB gain that scales with the number of ETs. However, the optimal design of transmit waveforms requires accurate channel state information (CSI) at the ETs, which is challenging to obtain in practical WET systems. In this paper, we propose a new channel training scheme to achieve","authors_text":"Rui Zhang, Seunghyun Lee","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-24T01:36:45Z","title":"Distributed Energy Beamforming with One-Bit Feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07533","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:b3142f6f825a9d2ca605525b487cb65f4b0d5f2e66fbe734c296e954eb97c9a6","target":"record","created_at":"2026-05-18T01:26:04Z","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":"c1bd74c362d4c69c5ac5677c5f6bb2806c6c8de7f86cd74bec5af3f39ce0883c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-24T01:36:45Z","title_canon_sha256":"b5090458ee77e19515118186e84d8664091fc0813d3ffee9f5b09edafc0ec722"},"schema_version":"1.0","source":{"id":"1511.07533","kind":"arxiv","version":1}},"canonical_sha256":"7a637a875affd97430a72c46e4cda2c57bf39e8e32f5c076f80e95f6517c834a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a637a875affd97430a72c46e4cda2c57bf39e8e32f5c076f80e95f6517c834a","first_computed_at":"2026-05-18T01:26:04.504161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:04.504161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q6J42TCx2MoOAITMHLniNrZGPIdDe35iq7YapJoeHhz5qchZDczQ1EcGXqB6u2V/7h79TlzXQW3/VP9RzDVvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:04.504801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.07533","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3142f6f825a9d2ca605525b487cb65f4b0d5f2e66fbe734c296e954eb97c9a6","sha256:e8ead2f41701aea37e5dafeeae40a9388b352f5b4901dffb7d78a2a366f15cae"],"state_sha256":"7f3943b3a965caee49814a82abf5950b5b16b1bc0811395c9ae268abbcf00119"}