{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HB3YUXJ54WWQYO7W7SUYNRCCAC","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":"789b73e21ea0eaca5aa8c94f78fe00d94c40e8315c0036792a70338b79c06634","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-15T23:56:55Z","title_canon_sha256":"763782cd5d6edb8c908c1742ae6659aa4407d722773d73595d92de10913cef17"},"schema_version":"1.0","source":{"id":"1208.3251","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3251","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3251v2","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3251","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"HB3YUXJ54WWQ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HB3YUXJ54WWQYO7W","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HB3YUXJ5","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:8dbb559136d253fafc2bb115c9d947d8b9d4160740df5e3be233c06e4ec60a76","target":"graph","created_at":"2026-05-18T00:22:07Z","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 carry out a comprehensive study of the resource cost of averaging consensus in wireless networks. Most previous approaches suppose a graphical network, which abstracts away crucial features of the wireless medium, and measure resource consumption only in terms of the total number of transmissions required to achieve consensus. Under a path-loss dominated model, we study the resource requirements of consensus with respect to three wireless-appropriate metrics: total transmit energy, elapsed time, and time-bandwidth product. First we characterize the performance of several popular gossip algo","authors_text":"Behnaam Aazhang, Matthew Nokleby, Robert Calderbank, Waheed U. Bajwa","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-15T23:56:55Z","title":"Toward Resource-Optimal Consensus over the Wireless Medium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3251","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":"sha256:8c41ca14ebcd5c42be2ff48c58ae49f38faea96f2caa6aad1a2536b3f042c436","target":"record","created_at":"2026-05-18T00:22:07Z","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":"789b73e21ea0eaca5aa8c94f78fe00d94c40e8315c0036792a70338b79c06634","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-08-15T23:56:55Z","title_canon_sha256":"763782cd5d6edb8c908c1742ae6659aa4407d722773d73595d92de10913cef17"},"schema_version":"1.0","source":{"id":"1208.3251","kind":"arxiv","version":2}},"canonical_sha256":"38778a5d3de5ad0c3bf6fca986c44200be07435634d75b1536ea6a91a4e64c5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38778a5d3de5ad0c3bf6fca986c44200be07435634d75b1536ea6a91a4e64c5c","first_computed_at":"2026-05-18T00:22:07.199058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:07.199058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k5STbq32BEJSihKilidJCdmKJ3/kEHOxEpuJU1FOhEuqUjLT/F/uykuvCnAUyKuSq3UETD3YDtuuo2tDszEUBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:07.199551Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3251","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c41ca14ebcd5c42be2ff48c58ae49f38faea96f2caa6aad1a2536b3f042c436","sha256:8dbb559136d253fafc2bb115c9d947d8b9d4160740df5e3be233c06e4ec60a76"],"state_sha256":"c4af3fb8713ce20c9d732fefe3ea924e99bae460c62937856f7fca4b495d0d00"}