{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PUNX4UFXERVJQB4UEYSQKSBU5I","short_pith_number":"pith:PUNX4UFX","canonical_record":{"source":{"id":"2201.11879","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-01-28T01:23:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"537bb885677628a430301d56eeab3a070535d280274e7591909a5a6219516d56","abstract_canon_sha256":"8fd9a3758d5aecf1c8cce517eeff0d7b473744374362a468908b0a86703f7f54"},"schema_version":"1.0"},"canonical_sha256":"7d1b7e50b7246a9807942625054834ea203cdece77cff8dc31dd3e9c61857f8c","source":{"kind":"arxiv","id":"2201.11879","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.11879","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"2201.11879v1","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.11879","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"PUNX4UFXERVJ","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"pith_short_16","alias_value":"PUNX4UFXERVJQB4U","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"pith_short_8","alias_value":"PUNX4UFX","created_at":"2026-07-05T03:52:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PUNX4UFXERVJQB4UEYSQKSBU5I","target":"record","payload":{"canonical_record":{"source":{"id":"2201.11879","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-01-28T01:23:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"537bb885677628a430301d56eeab3a070535d280274e7591909a5a6219516d56","abstract_canon_sha256":"8fd9a3758d5aecf1c8cce517eeff0d7b473744374362a468908b0a86703f7f54"},"schema_version":"1.0"},"canonical_sha256":"7d1b7e50b7246a9807942625054834ea203cdece77cff8dc31dd3e9c61857f8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:52:18.102634Z","signature_b64":"j6XMGuW5FPVE01oY+sfMH3+LjuG7dsAgMR75rVnGzDxUmxPO6XQqzSgdA3ZdLwg+YCKUGhPTtiZAlKMjHtVADw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d1b7e50b7246a9807942625054834ea203cdece77cff8dc31dd3e9c61857f8c","last_reissued_at":"2026-07-05T03:52:18.102245Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:52:18.102245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.11879","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":"2026-07-05T03:52:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"awXcpPj4yE20iTBWtFHnkU0hgO3zUJNiawiA16v+AquuI+mdNGiun+q4B1ziObE9+Oc7E6/3ShHpeMcBV6gtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:22:18.108696Z"},"content_sha256":"050909ed8bc8af29986b20dcb851e0d630d194967368a1e02890f4d593a26a36","schema_version":"1.0","event_id":"sha256:050909ed8bc8af29986b20dcb851e0d630d194967368a1e02890f4d593a26a36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PUNX4UFXERVJQB4UEYSQKSBU5I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Caching Design for Multi-User Multi-Antenna HetNets with Interference Nulling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ben Liang, Tianming Feng, Xuemai Gu","submitted_at":"2022-01-28T01:23:42Z","abstract_excerpt":"The strong interference suffered by users can be a severe problem in cache-enabled networks (CENs) due to the content-centric user association mechanism. To tackle this issue, multi-antenna technology may be employed for interference management. In this paper, we consider a user-centric interference nulling (IN) scheme in two-tier multi-user multi-antenna CEN, with a hybrid most-popular and random caching policy at macro base stations (MBSs) and small base stations (SBSs) to provide file diversity. All the interfering SBSs within the IN range of a user are requested to suppress the interferenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.11879","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.11879/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":"2026-07-05T03:52:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vb3QIU2NZp/tofl4YUWpL6vxxq65+x5T+rd3fNbhROpwW75OC1pxk0pBEMZWmuTIJ75vxVqhx/eC04pjjPU/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:22:18.109209Z"},"content_sha256":"461468b92a7bb7000751a76bbe066403bf2464ac6458a3db75f3c9c8759b5460","schema_version":"1.0","event_id":"sha256:461468b92a7bb7000751a76bbe066403bf2464ac6458a3db75f3c9c8759b5460"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PUNX4UFXERVJQB4UEYSQKSBU5I/bundle.json","state_url":"https://pith.science/pith/PUNX4UFXERVJQB4UEYSQKSBU5I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PUNX4UFXERVJQB4UEYSQKSBU5I/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":"2026-08-04T13:22:18Z","links":{"resolver":"https://pith.science/pith/PUNX4UFXERVJQB4UEYSQKSBU5I","bundle":"https://pith.science/pith/PUNX4UFXERVJQB4UEYSQKSBU5I/bundle.json","state":"https://pith.science/pith/PUNX4UFXERVJQB4UEYSQKSBU5I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PUNX4UFXERVJQB4UEYSQKSBU5I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PUNX4UFXERVJQB4UEYSQKSBU5I","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":"8fd9a3758d5aecf1c8cce517eeff0d7b473744374362a468908b0a86703f7f54","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-01-28T01:23:42Z","title_canon_sha256":"537bb885677628a430301d56eeab3a070535d280274e7591909a5a6219516d56"},"schema_version":"1.0","source":{"id":"2201.11879","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.11879","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"2201.11879v1","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.11879","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"PUNX4UFXERVJ","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"pith_short_16","alias_value":"PUNX4UFXERVJQB4U","created_at":"2026-07-05T03:52:18Z"},{"alias_kind":"pith_short_8","alias_value":"PUNX4UFX","created_at":"2026-07-05T03:52:18Z"}],"graph_snapshots":[{"event_id":"sha256:461468b92a7bb7000751a76bbe066403bf2464ac6458a3db75f3c9c8759b5460","target":"graph","created_at":"2026-07-05T03:52:18Z","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/2201.11879/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The strong interference suffered by users can be a severe problem in cache-enabled networks (CENs) due to the content-centric user association mechanism. To tackle this issue, multi-antenna technology may be employed for interference management. In this paper, we consider a user-centric interference nulling (IN) scheme in two-tier multi-user multi-antenna CEN, with a hybrid most-popular and random caching policy at macro base stations (MBSs) and small base stations (SBSs) to provide file diversity. All the interfering SBSs within the IN range of a user are requested to suppress the interferenc","authors_text":"Ben Liang, Tianming Feng, Xuemai Gu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-01-28T01:23:42Z","title":"Random Caching Design for Multi-User Multi-Antenna HetNets with Interference Nulling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.11879","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":"sha256:050909ed8bc8af29986b20dcb851e0d630d194967368a1e02890f4d593a26a36","target":"record","created_at":"2026-07-05T03:52:18Z","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":"8fd9a3758d5aecf1c8cce517eeff0d7b473744374362a468908b0a86703f7f54","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2022-01-28T01:23:42Z","title_canon_sha256":"537bb885677628a430301d56eeab3a070535d280274e7591909a5a6219516d56"},"schema_version":"1.0","source":{"id":"2201.11879","kind":"arxiv","version":1}},"canonical_sha256":"7d1b7e50b7246a9807942625054834ea203cdece77cff8dc31dd3e9c61857f8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d1b7e50b7246a9807942625054834ea203cdece77cff8dc31dd3e9c61857f8c","first_computed_at":"2026-07-05T03:52:18.102245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:52:18.102245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j6XMGuW5FPVE01oY+sfMH3+LjuG7dsAgMR75rVnGzDxUmxPO6XQqzSgdA3ZdLwg+YCKUGhPTtiZAlKMjHtVADw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:52:18.102634Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.11879","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:050909ed8bc8af29986b20dcb851e0d630d194967368a1e02890f4d593a26a36","sha256:461468b92a7bb7000751a76bbe066403bf2464ac6458a3db75f3c9c8759b5460"],"state_sha256":"eca6c759c1af767153fcfc7b83d3c2da7ababf6d2278c46083980451169c0a2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H+rmBGw+8R/X07hGfRh5Rlf+FEaAbaa4qfKQbOaf6TtEh1JVbDHgscPdoWPbt5prsvLPmMCt1mVFePZT1VhYAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:22:18.113464Z","bundle_sha256":"28b1a811e95d14adfda4531c00d6a1f0bd3f2d42be3dd2bed5f2252db045dc4a"}}