{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:QIWSPIVXPX6EKB46G2GGTCG52T","short_pith_number":"pith:QIWSPIVX","canonical_record":{"source":{"id":"0811.0726","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-11-05T13:56:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5f4cd7709abb94d3d5dbfba05983b6e2fad1b1f6c3297e83284cc52f2e908007","abstract_canon_sha256":"5fa3a95e77a3c48f76f3f24f567fc20ed8885a4e93843d402269c2de185442de"},"schema_version":"1.0"},"canonical_sha256":"822d27a2b77dfc45079e368c6988ddd4c67f06d03843e6ecf6c2be02b3e6da2c","source":{"kind":"arxiv","id":"0811.0726","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0726","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0726v3","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0726","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"pith_short_12","alias_value":"QIWSPIVXPX6E","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"QIWSPIVXPX6EKB46","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"QIWSPIVX","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:QIWSPIVXPX6EKB46G2GGTCG52T","target":"record","payload":{"canonical_record":{"source":{"id":"0811.0726","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-11-05T13:56:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5f4cd7709abb94d3d5dbfba05983b6e2fad1b1f6c3297e83284cc52f2e908007","abstract_canon_sha256":"5fa3a95e77a3c48f76f3f24f567fc20ed8885a4e93843d402269c2de185442de"},"schema_version":"1.0"},"canonical_sha256":"822d27a2b77dfc45079e368c6988ddd4c67f06d03843e6ecf6c2be02b3e6da2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:58.396330Z","signature_b64":"8PYvyQalda8GuA3eAPjEeg/gwbOs1dw5lb3iogTPK1XeVZUBkv1huO1kt32wzsboOOCF+DZ9ZMnqe4JMp2ggAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"822d27a2b77dfc45079e368c6988ddd4c67f06d03843e6ecf6c2be02b3e6da2c","last_reissued_at":"2026-05-18T00:57:58.395724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:58.395724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.0726","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U1gtBZbGcqeDUGS5UOvfXSrHkfUNfhymwiVkWS1y/ExS4DUPW/WnpbIMfS1hpDkbKwIv6akrKyuobfopnZNKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:22:59.356761Z"},"content_sha256":"9c552713c92a5efdf3d52e257f703e7047edf50884c4ffde36f3d8dcebdb163e","schema_version":"1.0","event_id":"sha256:9c552713c92a5efdf3d52e257f703e7047edf50884c4ffde36f3d8dcebdb163e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:QIWSPIVXPX6EKB46G2GGTCG52T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Improved Capacity Scaling in Wireless Networks With Infrastructure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mai H. Vu, Natasha Devroye, Sae-Young Chung, Sang-Woon Jeon, Vahid Tarokh, Won-Yong Shin, Yong H. Lee","submitted_at":"2008-11-05T13:56:26Z","abstract_excerpt":"This paper analyzes the impact and benefits of infrastructure support in improving the throughput scaling in networks of $n$ randomly located wireless nodes. The infrastructure uses multi-antenna base stations (BSs), in which the number of BSs and the number of antennas at each BS can scale at arbitrary rates relative to $n$. Under the model, capacity scaling laws are analyzed for both dense and extended networks. Two BS-based routing schemes are first introduced in this study: an infrastructure-supported single-hop (ISH) routing protocol with multiple-access uplink and broadcast downlink and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0726","kind":"arxiv","version":3},"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":"2026-05-18T00:57:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GPguSrlOH+xZXUtYIp/fzeYLvGRNQc5nbstSel9G41QgKVGCsIcz7LACBBmD621yTY1zuAJx37wrfKDwRjhmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:22:59.357460Z"},"content_sha256":"76684a4cd9635b8bd8b24e6f288e58333ec1f6c3d1269ab3ea9987dc6495f254","schema_version":"1.0","event_id":"sha256:76684a4cd9635b8bd8b24e6f288e58333ec1f6c3d1269ab3ea9987dc6495f254"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QIWSPIVXPX6EKB46G2GGTCG52T/bundle.json","state_url":"https://pith.science/pith/QIWSPIVXPX6EKB46G2GGTCG52T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QIWSPIVXPX6EKB46G2GGTCG52T/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":"2026-05-26T02:22:59Z","links":{"resolver":"https://pith.science/pith/QIWSPIVXPX6EKB46G2GGTCG52T","bundle":"https://pith.science/pith/QIWSPIVXPX6EKB46G2GGTCG52T/bundle.json","state":"https://pith.science/pith/QIWSPIVXPX6EKB46G2GGTCG52T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QIWSPIVXPX6EKB46G2GGTCG52T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:QIWSPIVXPX6EKB46G2GGTCG52T","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":"5fa3a95e77a3c48f76f3f24f567fc20ed8885a4e93843d402269c2de185442de","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-11-05T13:56:26Z","title_canon_sha256":"5f4cd7709abb94d3d5dbfba05983b6e2fad1b1f6c3297e83284cc52f2e908007"},"schema_version":"1.0","source":{"id":"0811.0726","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.0726","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"arxiv_version","alias_value":"0811.0726v3","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.0726","created_at":"2026-05-18T00:57:58Z"},{"alias_kind":"pith_short_12","alias_value":"QIWSPIVXPX6E","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"QIWSPIVXPX6EKB46","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"QIWSPIVX","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:76684a4cd9635b8bd8b24e6f288e58333ec1f6c3d1269ab3ea9987dc6495f254","target":"graph","created_at":"2026-05-18T00:57:58Z","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 analyzes the impact and benefits of infrastructure support in improving the throughput scaling in networks of $n$ randomly located wireless nodes. The infrastructure uses multi-antenna base stations (BSs), in which the number of BSs and the number of antennas at each BS can scale at arbitrary rates relative to $n$. Under the model, capacity scaling laws are analyzed for both dense and extended networks. Two BS-based routing schemes are first introduced in this study: an infrastructure-supported single-hop (ISH) routing protocol with multiple-access uplink and broadcast downlink and ","authors_text":"Mai H. Vu, Natasha Devroye, Sae-Young Chung, Sang-Woon Jeon, Vahid Tarokh, Won-Yong Shin, Yong H. Lee","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-11-05T13:56:26Z","title":"Improved Capacity Scaling in Wireless Networks With Infrastructure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.0726","kind":"arxiv","version":3},"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":"sha256:9c552713c92a5efdf3d52e257f703e7047edf50884c4ffde36f3d8dcebdb163e","target":"record","created_at":"2026-05-18T00:57:58Z","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":"5fa3a95e77a3c48f76f3f24f567fc20ed8885a4e93843d402269c2de185442de","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2008-11-05T13:56:26Z","title_canon_sha256":"5f4cd7709abb94d3d5dbfba05983b6e2fad1b1f6c3297e83284cc52f2e908007"},"schema_version":"1.0","source":{"id":"0811.0726","kind":"arxiv","version":3}},"canonical_sha256":"822d27a2b77dfc45079e368c6988ddd4c67f06d03843e6ecf6c2be02b3e6da2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"822d27a2b77dfc45079e368c6988ddd4c67f06d03843e6ecf6c2be02b3e6da2c","first_computed_at":"2026-05-18T00:57:58.395724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:58.395724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8PYvyQalda8GuA3eAPjEeg/gwbOs1dw5lb3iogTPK1XeVZUBkv1huO1kt32wzsboOOCF+DZ9ZMnqe4JMp2ggAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:58.396330Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.0726","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c552713c92a5efdf3d52e257f703e7047edf50884c4ffde36f3d8dcebdb163e","sha256:76684a4cd9635b8bd8b24e6f288e58333ec1f6c3d1269ab3ea9987dc6495f254"],"state_sha256":"688189d8556a405ea33b2fbc154e7e89de35a69101beac88c986caa269f5099f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXH/068est9Uf2bC/hWUlpAzOhYbi5DQWlcHv9nkSMBRzlA8PxrmkzqEXJTQr/lGne8TiT6GPtsz5dLrBboSBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:22:59.361292Z","bundle_sha256":"afb4868e1247bae855ae7090a80ea74f60519a54db30454572cbdd291daa2da0"}}