{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LBGFTGN2IDL5GCQSU4QIILKMPT","short_pith_number":"pith:LBGFTGN2","canonical_record":{"source":{"id":"1505.00396","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-03T06:18:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4974558af870b69772499ad66e7ec39d147516e849061b15d7080815ca98f65","abstract_canon_sha256":"af9cfc943d2f25b8b57e3a7046ee835d9f5f1ab1b74c5933f9468a3fdfd02d02"},"schema_version":"1.0"},"canonical_sha256":"584c5999ba40d7d30a12a720842d4c7cf3049bf3cb346e58d87aba1aa461a62c","source":{"kind":"arxiv","id":"1505.00396","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00396","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00396v2","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00396","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"LBGFTGN2IDL5","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LBGFTGN2IDL5GCQS","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LBGFTGN2","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LBGFTGN2IDL5GCQSU4QIILKMPT","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00396","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-03T06:18:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f4974558af870b69772499ad66e7ec39d147516e849061b15d7080815ca98f65","abstract_canon_sha256":"af9cfc943d2f25b8b57e3a7046ee835d9f5f1ab1b74c5933f9468a3fdfd02d02"},"schema_version":"1.0"},"canonical_sha256":"584c5999ba40d7d30a12a720842d4c7cf3049bf3cb346e58d87aba1aa461a62c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:44.505477Z","signature_b64":"HbzpNdjiu4H3UkEJ7/IJorEVttYVYo4zepTysKsxKmvS3OE4vo8ilGeEAQn3sPxwd2KK2tuQDC/rzJHQzmziDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"584c5999ba40d7d30a12a720842d4c7cf3049bf3cb346e58d87aba1aa461a62c","last_reissued_at":"2026-05-18T01:19:44.504991Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:44.504991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00396","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":"2026-05-18T01:19:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J6VcWIYc6Y2yvFZ+wpHj6mK5QdoPHaqFPRqmKo46JKv3Ti5AKFULR5NyRIBJDnGyoxIed22BC+U5dP2dUkIgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T12:14:46.238409Z"},"content_sha256":"96ae503219bbf7eee0ffe7eb21569deb946f5eca75f84623dc1151914a113cb1","schema_version":"1.0","event_id":"sha256:96ae503219bbf7eee0ffe7eb21569deb946f5eca75f84623dc1151914a113cb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LBGFTGN2IDL5GCQSU4QIILKMPT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Physical Layer Security in Massive MIMO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexei Ashikhmin, C. Emre Koksal, Y. Ozan Basciftci","submitted_at":"2015-05-03T06:18:22Z","abstract_excerpt":"We consider a single-cell downlink massive MIMO communication in the presence of an adversary capable of jamming and eavesdropping simultaneously. We show that massive MIMO communication is naturally resilient to no training-phase jamming attack in which the adversary jams only the data communication and eavesdrops both the data communication and the training. Specifically, we show that the secure degrees of freedom (DoF) attained in the presence of such an attack is identical to the maximum DoF attained under no attack. Further, we evaluate the number of antennas that base station (BS) requir"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00396","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":""},"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":"2026-05-18T01:19:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4niDr7DFlcNtcrZCQ1U3O1ELHis8pIAZoMbhx77z15B6T5IzModQqmqd7paopqaDBGpYoohCu0feTKR3dBXBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T12:14:46.238757Z"},"content_sha256":"48840dbb1bfff902d6bba8b304ff22bbae4d4bd5ff2e99ea02cf09ac1a411a51","schema_version":"1.0","event_id":"sha256:48840dbb1bfff902d6bba8b304ff22bbae4d4bd5ff2e99ea02cf09ac1a411a51"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LBGFTGN2IDL5GCQSU4QIILKMPT/bundle.json","state_url":"https://pith.science/pith/LBGFTGN2IDL5GCQSU4QIILKMPT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LBGFTGN2IDL5GCQSU4QIILKMPT/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":"2026-06-20T12:14:46Z","links":{"resolver":"https://pith.science/pith/LBGFTGN2IDL5GCQSU4QIILKMPT","bundle":"https://pith.science/pith/LBGFTGN2IDL5GCQSU4QIILKMPT/bundle.json","state":"https://pith.science/pith/LBGFTGN2IDL5GCQSU4QIILKMPT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LBGFTGN2IDL5GCQSU4QIILKMPT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LBGFTGN2IDL5GCQSU4QIILKMPT","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":"af9cfc943d2f25b8b57e3a7046ee835d9f5f1ab1b74c5933f9468a3fdfd02d02","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-03T06:18:22Z","title_canon_sha256":"f4974558af870b69772499ad66e7ec39d147516e849061b15d7080815ca98f65"},"schema_version":"1.0","source":{"id":"1505.00396","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00396","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00396v2","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00396","created_at":"2026-05-18T01:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"LBGFTGN2IDL5","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LBGFTGN2IDL5GCQS","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LBGFTGN2","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:48840dbb1bfff902d6bba8b304ff22bbae4d4bd5ff2e99ea02cf09ac1a411a51","target":"graph","created_at":"2026-05-18T01:19:44Z","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":"We consider a single-cell downlink massive MIMO communication in the presence of an adversary capable of jamming and eavesdropping simultaneously. We show that massive MIMO communication is naturally resilient to no training-phase jamming attack in which the adversary jams only the data communication and eavesdrops both the data communication and the training. Specifically, we show that the secure degrees of freedom (DoF) attained in the presence of such an attack is identical to the maximum DoF attained under no attack. Further, we evaluate the number of antennas that base station (BS) requir","authors_text":"Alexei Ashikhmin, C. Emre Koksal, Y. Ozan Basciftci","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-03T06:18:22Z","title":"Physical Layer Security in Massive MIMO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00396","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":"sha256:96ae503219bbf7eee0ffe7eb21569deb946f5eca75f84623dc1151914a113cb1","target":"record","created_at":"2026-05-18T01:19:44Z","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":"af9cfc943d2f25b8b57e3a7046ee835d9f5f1ab1b74c5933f9468a3fdfd02d02","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-05-03T06:18:22Z","title_canon_sha256":"f4974558af870b69772499ad66e7ec39d147516e849061b15d7080815ca98f65"},"schema_version":"1.0","source":{"id":"1505.00396","kind":"arxiv","version":2}},"canonical_sha256":"584c5999ba40d7d30a12a720842d4c7cf3049bf3cb346e58d87aba1aa461a62c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"584c5999ba40d7d30a12a720842d4c7cf3049bf3cb346e58d87aba1aa461a62c","first_computed_at":"2026-05-18T01:19:44.504991Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:44.504991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HbzpNdjiu4H3UkEJ7/IJorEVttYVYo4zepTysKsxKmvS3OE4vo8ilGeEAQn3sPxwd2KK2tuQDC/rzJHQzmziDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:44.505477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00396","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96ae503219bbf7eee0ffe7eb21569deb946f5eca75f84623dc1151914a113cb1","sha256:48840dbb1bfff902d6bba8b304ff22bbae4d4bd5ff2e99ea02cf09ac1a411a51"],"state_sha256":"375d5cc30e52f9de645a5bf14b4a18e5a166a76f06d220711c949c3c9ca7be0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQ27uxlFFllGGjo4nR4mmJES6gqnsKZt3L5KEdSqgfZVBrTqne23vEvz1WhDqvYhlWvOT88zDqy8hSNaaBdTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T12:14:46.240679Z","bundle_sha256":"11ef001ca0d6116650ab4db16c963ff618adb7076978102f03e38f13c5fcc2c7"}}