{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:OWZISTLWDYSLZR4VAS2VCOUZZR","short_pith_number":"pith:OWZISTLW","canonical_record":{"source":{"id":"cs/0703022","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2007-03-05T21:02:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"76303d52e821e4144427954e57660c3f64af1d2c3fe99692020b9e7815aaaa81","abstract_canon_sha256":"c402c2d12bd8180e1f6ee8f19a4ff83729d2cd23ebfd2ada0e3c4ab587fe2827"},"schema_version":"1.0"},"canonical_sha256":"75b2894d761e24bcc79504b5513a99cc6905ef7210204a63a91ac4071768aca9","source":{"kind":"arxiv","id":"cs/0703022","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0703022","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0703022v1","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0703022","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"OWZISTLWDYSL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"OWZISTLWDYSLZR4V","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"OWZISTLW","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:OWZISTLWDYSLZR4VAS2VCOUZZR","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0703022","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2007-03-05T21:02:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"76303d52e821e4144427954e57660c3f64af1d2c3fe99692020b9e7815aaaa81","abstract_canon_sha256":"c402c2d12bd8180e1f6ee8f19a4ff83729d2cd23ebfd2ada0e3c4ab587fe2827"},"schema_version":"1.0"},"canonical_sha256":"75b2894d761e24bcc79504b5513a99cc6905ef7210204a63a91ac4071768aca9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:05.065066Z","signature_b64":"Xbgt/zVU/V2Lz0xHQVaLfFASkOdYqFINb6reCqITVFJW+YxNp2Qxk7T92OHAmDlcKksI1/qqE1OiFhr0bCkgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75b2894d761e24bcc79504b5513a99cc6905ef7210204a63a91ac4071768aca9","last_reissued_at":"2026-05-18T00:58:05.064610Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:05.064610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0703022","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":"2026-05-18T00:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HRjgVtcITKg0AgfBF/LYLven4wjALF9WInUBGS1VbpwPpEsUpqflSVt427ZLlbDB113VQnM13XDQcBfoNKg/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:42:41.357424Z"},"content_sha256":"af42e573f83ee6011a75d8b1ec6aa6e2ee3917f8d9dc51fff9a6be8d90732d05","schema_version":"1.0","event_id":"sha256:af42e573f83ee6011a75d8b1ec6aa6e2ee3917f8d9dc51fff9a6be8d90732d05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:OWZISTLWDYSLZR4VAS2VCOUZZR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rate of Channel Hardening of Antenna Selection Diversity Schemes and Its Implication on Scheduling","license":"","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dongwoon Bai, Patrick Mitran, Robert R. Miller, Saeed S. Ghassemzadeh, Vahid Tarokh","submitted_at":"2007-03-05T21:02:16Z","abstract_excerpt":"For a multiple antenna system, we compute the asymptotic distribution of antenna selection gain when the transmitter selects the transmit antenna with the strongest channel. We use this to asymptotically estimate the underlying channel capacity distributions, and demonstrate that unlike multiple-input/multiple-output (MIMO) systems, the channel for antenna selection systems hardens at a slower rate, and thus a significant multiuser scheduling gain can exist - O(1/ log m) for channel selection as opposed to O(1/ sqrt{m}) for MIMO, where m is the number of transmit antennas. Additionally, even w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0703022","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":"2026-05-18T00:58:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSO5b76p6OTRSTJdXWe2Mjx/lwIORRDb9w8tkIBIcbvp4IhxsjNgK2Xm22nn+Lp9TXVFGENwbjSaoqBWjLNjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:42:41.357901Z"},"content_sha256":"fa922c8a2bd032d0fbfe8723a2a410240ab09e0871a4e4120c703147396d9006","schema_version":"1.0","event_id":"sha256:fa922c8a2bd032d0fbfe8723a2a410240ab09e0871a4e4120c703147396d9006"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OWZISTLWDYSLZR4VAS2VCOUZZR/bundle.json","state_url":"https://pith.science/pith/OWZISTLWDYSLZR4VAS2VCOUZZR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OWZISTLWDYSLZR4VAS2VCOUZZR/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":"2026-05-25T15:42:41Z","links":{"resolver":"https://pith.science/pith/OWZISTLWDYSLZR4VAS2VCOUZZR","bundle":"https://pith.science/pith/OWZISTLWDYSLZR4VAS2VCOUZZR/bundle.json","state":"https://pith.science/pith/OWZISTLWDYSLZR4VAS2VCOUZZR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OWZISTLWDYSLZR4VAS2VCOUZZR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:OWZISTLWDYSLZR4VAS2VCOUZZR","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":"c402c2d12bd8180e1f6ee8f19a4ff83729d2cd23ebfd2ada0e3c4ab587fe2827","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2007-03-05T21:02:16Z","title_canon_sha256":"76303d52e821e4144427954e57660c3f64af1d2c3fe99692020b9e7815aaaa81"},"schema_version":"1.0","source":{"id":"cs/0703022","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0703022","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0703022v1","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0703022","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"OWZISTLWDYSL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"OWZISTLWDYSLZR4V","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"OWZISTLW","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:fa922c8a2bd032d0fbfe8723a2a410240ab09e0871a4e4120c703147396d9006","target":"graph","created_at":"2026-05-18T00:58:05Z","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":"For a multiple antenna system, we compute the asymptotic distribution of antenna selection gain when the transmitter selects the transmit antenna with the strongest channel. We use this to asymptotically estimate the underlying channel capacity distributions, and demonstrate that unlike multiple-input/multiple-output (MIMO) systems, the channel for antenna selection systems hardens at a slower rate, and thus a significant multiuser scheduling gain can exist - O(1/ log m) for channel selection as opposed to O(1/ sqrt{m}) for MIMO, where m is the number of transmit antennas. Additionally, even w","authors_text":"Dongwoon Bai, Patrick Mitran, Robert R. Miller, Saeed S. Ghassemzadeh, Vahid Tarokh","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2007-03-05T21:02:16Z","title":"Rate of Channel Hardening of Antenna Selection Diversity Schemes and Its Implication on Scheduling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0703022","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:af42e573f83ee6011a75d8b1ec6aa6e2ee3917f8d9dc51fff9a6be8d90732d05","target":"record","created_at":"2026-05-18T00:58:05Z","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":"c402c2d12bd8180e1f6ee8f19a4ff83729d2cd23ebfd2ada0e3c4ab587fe2827","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2007-03-05T21:02:16Z","title_canon_sha256":"76303d52e821e4144427954e57660c3f64af1d2c3fe99692020b9e7815aaaa81"},"schema_version":"1.0","source":{"id":"cs/0703022","kind":"arxiv","version":1}},"canonical_sha256":"75b2894d761e24bcc79504b5513a99cc6905ef7210204a63a91ac4071768aca9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75b2894d761e24bcc79504b5513a99cc6905ef7210204a63a91ac4071768aca9","first_computed_at":"2026-05-18T00:58:05.064610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:05.064610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xbgt/zVU/V2Lz0xHQVaLfFASkOdYqFINb6reCqITVFJW+YxNp2Qxk7T92OHAmDlcKksI1/qqE1OiFhr0bCkgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:05.065066Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0703022","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af42e573f83ee6011a75d8b1ec6aa6e2ee3917f8d9dc51fff9a6be8d90732d05","sha256:fa922c8a2bd032d0fbfe8723a2a410240ab09e0871a4e4120c703147396d9006"],"state_sha256":"34526858dbd222b23d5030a742e1f31a87d65a59ddef8a67c3a0cf34afaad5e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Toun77zx+KKjvjJCl3NXqW9b0guKt08eMCXHeYxONFQ1vHjlMfVZ11DFV9mj5eANbmtmpN4XgDIhUtwdTIpBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:42:41.361468Z","bundle_sha256":"3dbebfa275d69fff3d2bcf3df058f1c9c51e27023edb0cf17b817f40ee616cd8"}}