{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MO6HZPPEVEHIWWLWJMQVHQIKON","short_pith_number":"pith:MO6HZPPE","canonical_record":{"source":{"id":"1809.02780","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-08T09:27:53Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bb6fd72e61fc18179dfa814634a4f08584683aacdf1d51c3f75de02af7a8f11e","abstract_canon_sha256":"522d24baaeb82ca1257b09ca19aaa3251483420eef2ca7d2dcccce79bcd8627d"},"schema_version":"1.0"},"canonical_sha256":"63bc7cbde4a90e8b59764b2153c10a734a703b5c63c98b43f13e5c4d7f3a3ed6","source":{"kind":"arxiv","id":"1809.02780","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02780","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02780v1","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02780","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"pith_short_12","alias_value":"MO6HZPPEVEHI","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MO6HZPPEVEHIWWLW","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MO6HZPPE","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MO6HZPPEVEHIWWLWJMQVHQIKON","target":"record","payload":{"canonical_record":{"source":{"id":"1809.02780","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-08T09:27:53Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"bb6fd72e61fc18179dfa814634a4f08584683aacdf1d51c3f75de02af7a8f11e","abstract_canon_sha256":"522d24baaeb82ca1257b09ca19aaa3251483420eef2ca7d2dcccce79bcd8627d"},"schema_version":"1.0"},"canonical_sha256":"63bc7cbde4a90e8b59764b2153c10a734a703b5c63c98b43f13e5c4d7f3a3ed6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:15.326843Z","signature_b64":"MPCxrnoVbj2IvKR7btFds8zFmwd575jeJbDegkRpFJqOCObtdxSDe4qg+HOGLLwvOCgfo5DZirMMx0K0VwfqDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63bc7cbde4a90e8b59764b2153c10a734a703b5c63c98b43f13e5c4d7f3a3ed6","last_reissued_at":"2026-05-18T00:06:15.326196Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:15.326196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.02780","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":"2026-05-18T00:06:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p8NXC4KIoomuopmlEZW2ryAZu6auHQZGeP5ONdjAlEOqG0Oythb2aKBbZnKRrQVI0dVRzj27PZVvXR8lZcxICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:26:26.669849Z"},"content_sha256":"b729a7bcc3d21e05ca6d7dd48fbd99d1c85d6bae716bf5e4b56a06cb836d5962","schema_version":"1.0","event_id":"sha256:b729a7bcc3d21e05ca6d7dd48fbd99d1c85d6bae716bf5e4b56a06cb836d5962"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MO6HZPPEVEHIWWLWJMQVHQIKON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improving Wireless Physical Layer Security via D2D Communication","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Cunhua Pan, Hao Xu, Jianfeng Shi, Ming Chen, Wei Heng, Wei Xu","submitted_at":"2018-09-08T09:27:53Z","abstract_excerpt":"This paper investigates the physical layer security issue of a device-to-device (D2D) underlaid cellular system with a multi-antenna base station (BS) and a multi-antenna eavesdropper. To investigate the potential of D2D communication in improving network security, the conventional network without D2D users (DUs) is first considered. It is shown that the problem of maximizing the sum secrecy rate (SR) of cellular users (CUs) for this special case can be transformed to an assignment problem and optimally solved. Then, a D2D underlaid network is considered. Since the joint optimization of resour"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02780","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":"2026-05-18T00:06:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5K7kDAWRH2C/IJ4ThDggDvcqTOKQbhwDaeiIniamE7nZGJQ6Mwufzm9wOUvwM5oLF5dtZGdNVhO1mck1l4w6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:26:26.670542Z"},"content_sha256":"efa8b35d9b59bce12634e3cc6e1af7701f0aa5e2bc94443caf07266ab2eb8902","schema_version":"1.0","event_id":"sha256:efa8b35d9b59bce12634e3cc6e1af7701f0aa5e2bc94443caf07266ab2eb8902"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MO6HZPPEVEHIWWLWJMQVHQIKON/bundle.json","state_url":"https://pith.science/pith/MO6HZPPEVEHIWWLWJMQVHQIKON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MO6HZPPEVEHIWWLWJMQVHQIKON/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":"2026-06-07T16:26:26Z","links":{"resolver":"https://pith.science/pith/MO6HZPPEVEHIWWLWJMQVHQIKON","bundle":"https://pith.science/pith/MO6HZPPEVEHIWWLWJMQVHQIKON/bundle.json","state":"https://pith.science/pith/MO6HZPPEVEHIWWLWJMQVHQIKON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MO6HZPPEVEHIWWLWJMQVHQIKON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MO6HZPPEVEHIWWLWJMQVHQIKON","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":"522d24baaeb82ca1257b09ca19aaa3251483420eef2ca7d2dcccce79bcd8627d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-08T09:27:53Z","title_canon_sha256":"bb6fd72e61fc18179dfa814634a4f08584683aacdf1d51c3f75de02af7a8f11e"},"schema_version":"1.0","source":{"id":"1809.02780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02780","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02780v1","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02780","created_at":"2026-05-18T00:06:15Z"},{"alias_kind":"pith_short_12","alias_value":"MO6HZPPEVEHI","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MO6HZPPEVEHIWWLW","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MO6HZPPE","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:efa8b35d9b59bce12634e3cc6e1af7701f0aa5e2bc94443caf07266ab2eb8902","target":"graph","created_at":"2026-05-18T00:06:15Z","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":"This paper investigates the physical layer security issue of a device-to-device (D2D) underlaid cellular system with a multi-antenna base station (BS) and a multi-antenna eavesdropper. To investigate the potential of D2D communication in improving network security, the conventional network without D2D users (DUs) is first considered. It is shown that the problem of maximizing the sum secrecy rate (SR) of cellular users (CUs) for this special case can be transformed to an assignment problem and optimally solved. Then, a D2D underlaid network is considered. Since the joint optimization of resour","authors_text":"Cunhua Pan, Hao Xu, Jianfeng Shi, Ming Chen, Wei Heng, Wei Xu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-08T09:27:53Z","title":"Improving Wireless Physical Layer Security via D2D Communication"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02780","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:b729a7bcc3d21e05ca6d7dd48fbd99d1c85d6bae716bf5e4b56a06cb836d5962","target":"record","created_at":"2026-05-18T00:06:15Z","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":"522d24baaeb82ca1257b09ca19aaa3251483420eef2ca7d2dcccce79bcd8627d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-09-08T09:27:53Z","title_canon_sha256":"bb6fd72e61fc18179dfa814634a4f08584683aacdf1d51c3f75de02af7a8f11e"},"schema_version":"1.0","source":{"id":"1809.02780","kind":"arxiv","version":1}},"canonical_sha256":"63bc7cbde4a90e8b59764b2153c10a734a703b5c63c98b43f13e5c4d7f3a3ed6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63bc7cbde4a90e8b59764b2153c10a734a703b5c63c98b43f13e5c4d7f3a3ed6","first_computed_at":"2026-05-18T00:06:15.326196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:15.326196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MPCxrnoVbj2IvKR7btFds8zFmwd575jeJbDegkRpFJqOCObtdxSDe4qg+HOGLLwvOCgfo5DZirMMx0K0VwfqDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:15.326843Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b729a7bcc3d21e05ca6d7dd48fbd99d1c85d6bae716bf5e4b56a06cb836d5962","sha256:efa8b35d9b59bce12634e3cc6e1af7701f0aa5e2bc94443caf07266ab2eb8902"],"state_sha256":"cc6a22fe258b5cab5d4f50907f186863a120cb8a2042afd400db6531ac7c8e51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JMz0FhRiUl7ou+Iehb7wPdGftbxOhcUjPDcExugS0+9JZ+4VGPKOBNTkzMtWc//AKyKs2fbi8LGuVBc9WB7+BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:26:26.674586Z","bundle_sha256":"9cb305ecfdb3e34187a83700e2da5871d0463f73eb52fcaa6b3e9f562d96db35"}}