{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DXU4VV2KYEUVC7WXTZQBJ6E7WP","short_pith_number":"pith:DXU4VV2K","canonical_record":{"source":{"id":"2103.13802","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-03-25T12:54:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"451e7c250d1abb23c9c8374a202d1e45f7a4750d540fce4a7eecf1dab931e313","abstract_canon_sha256":"8d41309f500e46a9b3778ea745349355318a188e3db31578f2ad0434378de8e4"},"schema_version":"1.0"},"canonical_sha256":"1de9cad74ac129517ed79e6014f89fb3d8901312f84d13700a2f68ac9e965b2c","source":{"kind":"arxiv","id":"2103.13802","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.13802","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"arxiv_version","alias_value":"2103.13802v2","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.13802","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"pith_short_12","alias_value":"DXU4VV2KYEUV","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"pith_short_16","alias_value":"DXU4VV2KYEUVC7WX","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"pith_short_8","alias_value":"DXU4VV2K","created_at":"2026-07-05T02:26:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DXU4VV2KYEUVC7WXTZQBJ6E7WP","target":"record","payload":{"canonical_record":{"source":{"id":"2103.13802","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-03-25T12:54:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"451e7c250d1abb23c9c8374a202d1e45f7a4750d540fce4a7eecf1dab931e313","abstract_canon_sha256":"8d41309f500e46a9b3778ea745349355318a188e3db31578f2ad0434378de8e4"},"schema_version":"1.0"},"canonical_sha256":"1de9cad74ac129517ed79e6014f89fb3d8901312f84d13700a2f68ac9e965b2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:26:29.755184Z","signature_b64":"49vVOc1mlBusExoMwBWz/1h1YqKrH5zBwXLGW4AqwMbWMPDAP08jTg0EQY0Td4/wqbqHmbp6LNa5NTNAJcVxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1de9cad74ac129517ed79e6014f89fb3d8901312f84d13700a2f68ac9e965b2c","last_reissued_at":"2026-07-05T02:26:29.754742Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:26:29.754742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.13802","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:26:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjcNw5HnoOg2LlTHdRkTXv4DHjh0EeiYpfsWciJ6tUD71T8CldCQFQiZ+7lH8nHQRhDDgobZOCjBKctTKxkKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T07:11:56.661985Z"},"content_sha256":"fa71625f910b2f9e2e28cec1c74213416fcfeb00626033ada956f3df7bd1e965","schema_version":"1.0","event_id":"sha256:fa71625f910b2f9e2e28cec1c74213416fcfeb00626033ada956f3df7bd1e965"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DXU4VV2KYEUVC7WXTZQBJ6E7WP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harvested Power Region of Two-user MISO WPT Systems With Non-linear EH Nodes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Laura Cottatellucci, Nikita Shanin, Robert Schober","submitted_at":"2021-03-25T12:54:12Z","abstract_excerpt":"In this paper, we determine the harvested power region of a two-user multiple-input single-output (MISO) wireless power transfer (WPT) system for a non-linear model of the rectennas at the energy harvester (EH) nodes. To this end, we characterize the distributions of the transmit symbol vector that achieve individual points on the boundary of this region. Each distribution is obtained as solution of an optimization problem where we maximize a weighted sum of the average harvested powers at the EH nodes under a constraint on the power budget of the transmitter. We prove that the optimal transmi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.13802","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.13802/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:26:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQ9CrXrylXuuA/kZjmF0WCvBv6vZymC1hSMoq4MnpjJJC3YY0GgCFVmrCvZtbHe99HxSM7MNezU1jUX0ubg9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T07:11:56.662644Z"},"content_sha256":"93d97d6097f5016cb4e9c26ce6ba39d4585d6da2a2c30f2a3957a5d475c0c3dd","schema_version":"1.0","event_id":"sha256:93d97d6097f5016cb4e9c26ce6ba39d4585d6da2a2c30f2a3957a5d475c0c3dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP/bundle.json","state_url":"https://pith.science/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP/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":"2026-07-07T07:11:56Z","links":{"resolver":"https://pith.science/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP","bundle":"https://pith.science/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP/bundle.json","state":"https://pith.science/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DXU4VV2KYEUVC7WXTZQBJ6E7WP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DXU4VV2KYEUVC7WXTZQBJ6E7WP","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":"8d41309f500e46a9b3778ea745349355318a188e3db31578f2ad0434378de8e4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-03-25T12:54:12Z","title_canon_sha256":"451e7c250d1abb23c9c8374a202d1e45f7a4750d540fce4a7eecf1dab931e313"},"schema_version":"1.0","source":{"id":"2103.13802","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.13802","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"arxiv_version","alias_value":"2103.13802v2","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.13802","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"pith_short_12","alias_value":"DXU4VV2KYEUV","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"pith_short_16","alias_value":"DXU4VV2KYEUVC7WX","created_at":"2026-07-05T02:26:29Z"},{"alias_kind":"pith_short_8","alias_value":"DXU4VV2K","created_at":"2026-07-05T02:26:29Z"}],"graph_snapshots":[{"event_id":"sha256:93d97d6097f5016cb4e9c26ce6ba39d4585d6da2a2c30f2a3957a5d475c0c3dd","target":"graph","created_at":"2026-07-05T02:26:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2103.13802/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we determine the harvested power region of a two-user multiple-input single-output (MISO) wireless power transfer (WPT) system for a non-linear model of the rectennas at the energy harvester (EH) nodes. To this end, we characterize the distributions of the transmit symbol vector that achieve individual points on the boundary of this region. Each distribution is obtained as solution of an optimization problem where we maximize a weighted sum of the average harvested powers at the EH nodes under a constraint on the power budget of the transmitter. We prove that the optimal transmi","authors_text":"Laura Cottatellucci, Nikita Shanin, Robert Schober","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-03-25T12:54:12Z","title":"Harvested Power Region of Two-user MISO WPT Systems With Non-linear EH Nodes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.13802","kind":"arxiv","version":2},"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:fa71625f910b2f9e2e28cec1c74213416fcfeb00626033ada956f3df7bd1e965","target":"record","created_at":"2026-07-05T02:26:29Z","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":"8d41309f500e46a9b3778ea745349355318a188e3db31578f2ad0434378de8e4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2021-03-25T12:54:12Z","title_canon_sha256":"451e7c250d1abb23c9c8374a202d1e45f7a4750d540fce4a7eecf1dab931e313"},"schema_version":"1.0","source":{"id":"2103.13802","kind":"arxiv","version":2}},"canonical_sha256":"1de9cad74ac129517ed79e6014f89fb3d8901312f84d13700a2f68ac9e965b2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1de9cad74ac129517ed79e6014f89fb3d8901312f84d13700a2f68ac9e965b2c","first_computed_at":"2026-07-05T02:26:29.754742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:26:29.754742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"49vVOc1mlBusExoMwBWz/1h1YqKrH5zBwXLGW4AqwMbWMPDAP08jTg0EQY0Td4/wqbqHmbp6LNa5NTNAJcVxDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:26:29.755184Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.13802","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa71625f910b2f9e2e28cec1c74213416fcfeb00626033ada956f3df7bd1e965","sha256:93d97d6097f5016cb4e9c26ce6ba39d4585d6da2a2c30f2a3957a5d475c0c3dd"],"state_sha256":"1551401e933c1bccb450179ab3377f0fefae4cfa8897032702d0706caadb13cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QnXyz/1ireP+4pHNbTiZRN7mV3c+0Q2FipBNUj84fPNegvuqKpfYMVYzuHBwfkkNKaxRJYx4oeh/j0Zg5XJyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T07:11:56.665856Z","bundle_sha256":"f4c6ab40d0936449963e24db8c0ec4d5d6739acb327eb1890b47eadb386c8eb0"}}